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[null,"Unser \"Kleines Planetarium\""]
[null,"Sonne, Mond, Merkur, Venus, Erde, Mars, Jupiter, Saturn, Uranus und Neptun:",null,null,null,null,null,null,null,null,null,null,null,"*) Systemzeit: ",null,{"$f":"NOW()","v":"2019-02-12T08:31:52.680"},null,"Passwort:"]
[null,"Wer steht wann und wo am Himmel?",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"NOW()","v":43508.355470833332}]
[]
[null,"Datum:",null,"Zeit (UTC)",null,null,"Zeitzone",null,null,null," Länge:",null,"Breite:",null,null,null,null,"TESTVERSION ","2019-01-21"]
[null,"2019-01-21",null,"05:15:00",{"$f":"B6+D6","v":"2019-01-21T05:15:00"},null,1,"UTC +/-h",null,null,9.73,null,52.38]
[]
[]
[]
[null,"2019-01-21T16:15:48.450",null,{"$f":"B10-INT(B10)","v":"16:15:48.450"},null,null,null,null,null,null,null,null,null,null,null,null,null,"Ingo Mennerich, 01/2019"]
[]
[]
[]
[null,{"$f":"B10","v":"2019-01-21T16:15:48.450"}]
[null,"Position am Himmel: Azmut und Höhe, Aufgang, Meridiandurchgang und Untergang",null,null,null,null,null,null,{"$f":"B10","v":"2019-01-21T16:15:48.450"},{"$f":"D10","v":"16:15:48.450"},"UTC","Länge",{"$f":"K6","v":9.73},"°","Breite",{"$f":"M6","v":52.38},"°","  Sonne, Erde und Mond "]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Mondphase",{"$f":"IF(F55>0,(1-(1+COS(RADIANS(F55)))/2)*100,(1-(1+COS(RADIANS(F55)))/2)*-100)","v":-99.680687527710731},"%"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Distanz ≈",{"$f":"Tabelle4!D45","v":0.363438439515821},"Mill. Km"]
[]
[null,null,null,null,"Sonne","Mond*","Merkur","Venus","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,"Azimut",null,null,{"$f":"Tabelle6!C76","v":243.05156985167491},{"$f":"Tabelle6!C77","v":57.880850247425997},{"$f":"Tabelle6!C78","v":245.46753787489979},{"$f":"Tabelle6!C79","v":281.88856693332173},{"$f":"Tabelle6!C80","v":182.52289069879237},{"$f":"Tabelle6!C81","v":279.61706493817837},{"$f":"Tabelle6!C82","v":255.76049301821627},{"$f":"Tabelle6!C83","v":162.27211741435667},{"$f":"Tabelle6!C84","v":211.68018105677675},null,"Aufgang: ","Höhe über dem Horizont aufsteigend 0°"]
[null,"Höhe (°)",null,null,{"$f":"Tabelle6!D76","v":-4.6384378075705692},{"$f":"Tabelle6!D77","v":-0.49382407251030253},{"$f":"Tabelle6!D78","v":-10.03688992450012},{"$f":"Tabelle6!D79","v":-33.68457953787113},{"$f":"Tabelle6!D80","v":43.114313516518202},{"$f":"Tabelle6!D81","v":-35.381257965869999},{"$f":"Tabelle6!D82","v":-17.32843937112176},{"$f":"Tabelle6!D83","v":46.908764386438705},{"$f":"Tabelle6!D84","v":25.819469752576115},null,"Untergang: ","Höhe über dem Horizont absteigend 0°"]
[]
[null,"Aufgang",null,null,{"$f":"Tabelle3!E121","v":"08:20:25.655"},{"$f":"Tabelle6!H126","v":"17:18:01.284"},{"$f":"Tabelle6!I122","v":"08:18:40.930"},{"$f":"Tabelle6!J122","v":"05:00:55.296"},{"$f":"Tabelle6!K122","v":"10:36:12.856"},{"$f":"Tabelle6!L122","v":"05:19:20.511"},{"$f":"Tabelle6!M122","v":"07:21:25.748"},{"$f":"Tabelle6!N122","v":"11:05:51.732"},{"$f":"Tabelle6!O122","v":"09:55:31.932"},null,"Zeiten: MEZ"]
[null,"Azimut",null,null,{"$f":"Tabelle6!E127","v":123.82354399054486},{"$f":"Tabelle6!G127","v":58.635657192865139},{"$f":"Tabelle6!I127","v":129.42005825901086},{"$f":"Tabelle6!J127","v":123.24696005385539},{"$f":"Tabelle6!K127","v":80.934622382436615},{"$f":"Tabelle6!L127","v":127.96021363644336},{"$f":"Tabelle6!M127","v":128.41091219023269},{"$f":"Tabelle6!N127","v":72.730578182088806},{"$f":"Tabelle6!O127","v":101.5890535322546},null,"Wenn Zeit(Aufgang) > Zeit(Meridian) → Aufgang am Vortag"]
[null,"Meridiandurchgang",null,null,{"$f":"Tabelle3!E117","v":"12:32:21.613"},{"$f":"Tabelle6!H113","v":"01:24:16.366"},{"$f":"Tabelle6!I101","v":"12:10:21.964"},{"$f":"Tabelle6!J101","v":"09:14:53.890"},{"$f":"Tabelle6!K101","v":"17:08:23.228"},{"$f":"Tabelle6!L101","v":"09:16:22.912"},{"$f":"Tabelle6!M101","v":"11:16:49.279"},{"$f":"Tabelle6!N101","v":"18:04:38.008"},{"$f":"Tabelle6!O101","v":"15:21:59.965"},null,"Wenn Zeit(Untergang) < Zeit(Meridian) → Untergang am Folgetag"]
[null,"Höhe bei MD (°)",null,null,{"$f":"Tabelle6!E34","v":17.756326717103025},{"$f":"Tabelle6!G34","v":56.144568192703503},{"$f":"Tabelle6!I34","v":14.813611060064311},{"$f":"Tabelle6!J34","v":18.06795395325863},{"$f":"Tabelle6!K34","v":43.139175216251196},{"$f":"Tabelle6!L34","v":15.566078612200549},{"$f":"Tabelle6!M34","v":15.332569446899676},{"$f":"Tabelle6!N34","v":48.060422098964104},{"$f":"Tabelle6!O34","v":30.57619897535384}]
[null,"Untergang",null,null,{"$f":"Tabelle3!E126","v":"16:44:17.571"},{"$f":"Tabelle6!H135","v":"09:30:31.449"},{"$f":"Tabelle6!I131","v":"16:02:02.997"},{"$f":"Tabelle6!J131","v":"13:28:52.484"},{"$f":"Tabelle6!K131","v":"23:40:33.601"},{"$f":"Tabelle6!L131","v":"13:13:25.312"},{"$f":"Tabelle6!M131","v":"15:12:12.811"},{"$f":"Tabelle6!N131","v":"01:03:24.284"},{"$f":"Tabelle6!O131","v":"20:48:27.998"},null,"Mond: Relativ schnelle Eigenbewegung von Westen nach Osten."]
[null,"Azimut",null,null,{"$f":"Tabelle6!E137","v":236.17645600945514},{"$f":"Tabelle6!G137","v":301.36434280713485},{"$f":"Tabelle6!I137","v":230.57994174098914},{"$f":"Tabelle6!J137","v":236.75303994614461},{"$f":"Tabelle6!K137","v":279.0653776175634},{"$f":"Tabelle6!L137","v":232.03978636355663},{"$f":"Tabelle6!M137","v":231.58908780976731},{"$f":"Tabelle6!N137","v":287.26942181791117},{"$f":"Tabelle6!O137","v":258.41094646774542},null,"Auf- und Untergang  nach Deklination bei Meridiandurchgang berechnet."]
[]
[]
[]
[]
[null,"← OSTEN  ←",null,null,null,null,null,null,"Ekliptikale Länge und Breite",null,null,null,null,null,null,null,null,null,"→ WESTEN  →"]
[]
[]
[]
[]
[]
[null,{"$f":"B10","v":"2019-01-21T16:15:48.450"},null,null,"Sonne","Mond","Merkur","Venus","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,"Länge",null,null,{"$f":"Tabelle2!K72","v":301.3329186786637},{"$f":"Tabelle2!K81","v":127.81167978579441},{"$f":"Tabelle2!K73","v":295.71898913698357},{"$f":"Tabelle2!K74","v":255.11184306397288},{"$f":"Tabelle2!K76","v":13.712961764974144},{"$f":"Tabelle2!K77","v":255.72495565514023},{"$f":"Tabelle2!K78","v":283.56361706969062},{"$f":"Tabelle2!K79","v":28.46376594849297},{"$f":"Tabelle2!K80","v":344.36755877668548}]
[null,"Breite",null,null,{"$f":"Tabelle2!L72","v":0},{"$f":"Tabelle2!L81","v":1.0202021327209911},{"$f":"Tabelle2!L73","v":-1.8371466136131573},{"$f":"Tabelle2!L74","v":3.075677915462478},{"$f":"Tabelle2!L76","v":0.11727267651055229},{"$f":"Tabelle2!L77","v":0.62534629087831206},{"$f":"Tabelle2!L78","v":0.46448533687869542},{"$f":"Tabelle2!L79","v":-0.52276214470309412},{"$f":"Tabelle2!L80","v":-0.96492641484040576}]
[null,"Elongation von der Sonne (°), östl.+, westl. -",null,null,"_",{"$f":"Tabelle2!L94","v":-173.52123889286929},{"$f":"Tabelle2!L86","v":-5.613929541680136},{"$f":"Tabelle2!L87","v":-46.22107561469079},{"$f":"Tabelle2!L89","v":72.380043086310422},{"$f":"Tabelle2!L90","v":-45.607963023523439},{"$f":"Tabelle2!L91","v":-17.76930160897308},{"$f":"Tabelle2!L92","v":87.130847269829246},{"$f":"Tabelle2!L93","v":43.034640098021782}]
[]
[]
[null,{"$f":"B10","v":"2019-01-21T16:15:48.450"}]
[null,"Heliozentrisch (von \"oben\" betrachtet mit Sonne als Mittelpunkt)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Geozentrisch (von uns aus gesehen)"]
[null,"Merkur, Venus, Erde, Mars, Jupiter, Saturn, Uranus, Neptun",null,null,null,null,null,null,null,"Merkur, Venus, Erde, Mars, Jupiter, Saturn",null,null,null,null,null,null,"Erde, Sonne, Merkur, Venus, Mars, Jupiter, Saturn"]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Frühlings-"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"punkt"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sonne"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Merkur"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Venus"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erde"]
[]
[null,null,null,null,null,null,null,null,null,"Sonne, Merkur, Venus, Erde, Mars",null,null,null,null,"Mars",null,"Sonne, Merkur, Venus, Erde, Mars"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Jupiter"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Saturn"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Uranus"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Neptun"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Mond"]
[]
[]
[]
[]
[null,"Planeten sind gleich groß dargestellt"]
[]
[null,{"$f":"B10","v":"2019-01-21T16:15:48.450"}]
[null,"Position am Sternenhimmel: Rektaszension und Deklination"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,"Sonne","Mond","Merkur","Venus","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,"Rektaszension",null,null,{"$f":"Tabelle3!E79","v":"20:14:15.982"},{"$f":"Tabelle4!G188","v":"08:44:35.104"},{"$f":"Tabelle5!E106","v":"19:52:16.332"},{"$f":"Tabelle5!F106","v":"16:56:48.259"},{"$f":"Tabelle5!H106","v":"00:50:17.597"},{"$f":"Tabelle5!I106","v":"16:58:17.280"},{"$f":"Tabelle5!J106","v":"18:58:43.648"},{"$f":"Tabelle5!K106","v":"01:46:32.376"},{"$f":"Tabelle5!L106","v":"23:03:54.333"},null,null,"Kartengrundlage:"]
[null,"Deklination",null,null,{"$f":"Tabelle3!E81","v":-19.863673282896972},{"$f":"Tabelle4!G192","v":18.524568192703509},{"$f":"Tabelle5!E108","v":-22.806388939935687},{"$f":"Tabelle5!F108","v":-19.552046046741367},{"$f":"Tabelle5!H108","v":5.5191752162511989},{"$f":"Tabelle5!I108","v":-22.053921387799448},{"$f":"Tabelle5!J108","v":-22.287430553100322},{"$f":"Tabelle5!K108","v":10.440422098964106},{"$f":"Tabelle5!L108","v":-7.0438010246461573},null,null,"https://in-the-sky.org/data/constellations_map.php"]
[null,null,null,null,null,"topozentrisch"]
[]
[]
[]
[null,"Basis: Epoche J2000 (01.01.2000 12:00 UTC), Daten JPL/NASA",null,null,null,null,null,null,null,"Richtung des Frühlingspunkts: "]
[null,"Berücksichtigt sind:",null,null,null,null,null,null,null,"Position der Erde relativ zur Sonne beim astronomischen Frühlingsbeginn"]
[null,"● Heliozentrische Länge (Position relativ zur Sonne)"]
[null,"● Extentrizität der Umlaufbahnen (Abweichung von der Kreisform)",null,null,null,null,null,null,null,"Es werden nur Zeitpunkte bis zum 01.01.1900 berechnet."]
[null,"● Neigung (Inklination) gegen die Bahnebene der Erde (Ekliptik)"]
[null,"● Länge des Perihels (Periapsis, sonnennächster Punkt)",null,null,null,null,null,null,null,"Das \"Kleine Planetarium\" ist für den Einsatz in der Schule gedacht. "]
[null,"● Länge des aufsteigenden Knotens (Schnittpunkt Bahnebene / Ekliptik)",null,null,null,null,null,null,null,"Es ergänzt den \"Planetenpfad\" im Schulbiologiezentrum."]
[null,null,null,null,null,null,null,null,null,"Ziel ist es, einen einfachen Zugang zu den am Himmel beobachtbaren Phänomenen zu schaffen."]
[null,"Daraus berechnet: ",null,null,null,null,null,null,null,"Die Positionen der Sonne, des Mondes und der Planeten werden in  professionellen Astro-Programmen (z.B. Redshift)"]
[null,"● Ekliptikale Länge und Breite",null,null,null,null,null,null,null,"wesentlich genauer dargestellt. "]
[null,"● Rektaszension und Deklination",null,null,null,null,null,null,null,"Der Mond bewegt sich relativ schnell: "]
[null,"● Azmut (Kompassrichtung) und Höhe über dem Horizont",null,null,null,null,null,null,null,"Auf-, Durch- und Untergangszeiten des Mondes variieren daher je nach eingestellter Uhrzeit."]
[null,"● Aufgang, Meridiandurchgang, Untergang",null,null,null,null,null,null,null,"Sie können sich den Auf- und Untergangszeiten auch durch Variieren der eingegebenen Zeit nähern: "]
[null,null,null,null,null,null,null,null,null,"Bei Aufgang und Untergang ist die Höhe über dem Horizont 0°."]

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[]
[null,"Sonne, Mond und Planeten"]
[]
[null,"DATUM",{"$f":"Tabelle1!B10","v":"2019-01-21T16:15:48.450"}]
[]
[null,"Julianisches Datum: Anzahl der Tage seit dem 01. Januar -4723, 00:00 UT",null,null,null,null,null,null,null,null,null,null,"Datencheck:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"NASA https://omniweb.gsfc.nasa.gov/coho/helios/planet.html"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Redshift"]
[null,null,null,null,null,null,null,null,null,null,null,null,"KOSMOS- Himmelsjahr 2018"]
[null,"T: Anzahl der dem 01.01.2000 vergangenen Jahrhunderte seit ",null,null,null,null,null,null,null,null,null,null,"calsky (www.calsky.com)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"E Exzentrische Anomalie"]
[null,null,null,null,null,null,null,null,null,null,null,null,"http://www.jgiesen.de/kepler/kepler.html"]
[null,null,null,null,null,null,null,null,null,null,null,null,"E=M+180/PI((e-1/8*e^3)*sinM+1/2*e^2*sin(2*M)+3/8*e^3*sin(3`M))"]
[null,"Julianisches Datum",null,{"$f":"2451544.5+C4-DATE(2000,1,1)","v":2458505.1776440968}]
[null,"Tage",null,{"$f":"(D15-2451545)","v":6960.1776440967806},null,null,null,null,null,null,null,null,"v Wahre Anomalie"]
[null,"T (Jahrhunderte)",null,{"$f":"(D15-2451545)/36525","v":0.19055927841469625},null,null,null,null,null,null,null,null,"http://www.stargazing.net/kepler/ellipse.html#twig03c"]
[null,null,null,null,null,null,null,null,null,null,null,null,"    v = M + 180/pi * [ (2 * e - e^3/4) * sin(M) + 5/4 * e^2 * sin(2*M)+ 13/12 * e^3 * sin(3*M) ]"]
[null,"Ephemeriden Epoche J2000",null,"2451545.0 JD"]
[null,"http://www.met.rdg.ac.uk/~ross/Astronomy/Planets.html#elems",null,null,null,null,null,null,null,null,null,null,"Bahnradius"]
[null,"University of Reading",null,null,null,null,null,null,null,null,null,null,"https://www.arndt-bruenner.de/mathe/scripts/kepler.htm"]
[null,null,null,null,null,null,null,null,null,null,null,null,"a·(1 – e²)/(1 + e·cos(v))"]
[]
[]
[null,null,"Distanz zur Sonne",null,"Heliozentrische Länge",null,null,"Exzentrizität der Bahn",null,"Heliozentrische Länge der Periapsis",null,null,"Bahnneigung zur Ekliptik (Inklination)",null,null,"Heliozentrische Länge des aufsteigenden Knotens"]
[null,"Planet","a","D","l","Dl","Dl","e","De","Länge (v, °)","Dv","Dv","i","Di","Di","Länge (W, °)","DW","DW"]
[null,null,"AE","AE/Jh","(°)","\"/Jh","°/Jh",null,"/Jh","Periapsis ","\"/Jh","°/Jh","(°)","\"/Jh","\"/Jh","Aufsteigender Knoten W","\"/Jh","°/Jh"]
[null,"Merkur",0.38709893000000001,6.6000000000000003E-7,252.25084000000001,538101628.28999996,{"$f":"F28/3600","v":149472.67452499998},0.20563069,2.527E-5,77.456450000000004,573.57000000000005,{"$f":"K28/3600","v":0.15932500000000002},7.0048700000000004,-23.51,{"$f":"N28/3600","v":-6.5305555555555559E-3},48.331670000000003,-446.3,{"$f":"Q28/3600","v":-0.12397222222222222}]
[null,"Venus",0.72333199000000004,9.1999999999999998E-7,181.97972999999999,210664136.06,{"$f":"F29/3600","v":58517.815572222222},6.7732299999999999E-3,-4.9379999999999998E-5,131.53298000000001,-108.8,{"$f":"K29/3600","v":-3.022222222222222E-2},3.3947099999999999,-2.86,{"$f":"N29/3600","v":-7.9444444444444441E-4},76.680689999999998,-996.89,{"$f":"Q29/3600","v":-0.2769138888888889}]
[null,"Erde",1.00000011,-4.9999999999999998E-8,100.46435,129597740.63,35999.372397222221,1.6710220000000001E-2,-3.8040000000000002E-5,102.94719000000001,1198.28,0.33285555555555557,5.0000000000000002E-5,-46.94,-1.3038888888888888E-2,-11.26064,-18228.25,-5.0634027777777781]
[null,"Mars",1.52366231,-7.2210000000000002E-5,355.45332000000002,68905103.780000001,19140.306605555557,9.3412330000000002E-2,1.1902E-4,336.04084,1560.78,0.43354999999999999,1.8506100000000001,-25.47,-7.0749999999999997E-3,49.578539999999997,-1020.19,-0.28338611111111112]
[null,"Jupiter",5.2033630100000003,6.0736999999999998E-4,34.404380000000003,10925078.35,3034.7439861111111,4.8392659999999997E-2,-1.2879999999999999E-4,14.75385,839.93,0.23331388888888888,1.3052999999999999,-4.1500000000000004,-1.152777777777778E-3,100.55615,1217.17,0.33810277777777781]
[null,"Saturn",9.5370703199999998,-3.0152999999999998E-3,49.944319999999998,4401052.95,1222.5147083333334,5.41506E-2,-3.6761999999999998E-4,92.431939999999997,-1948.89,-0.54135833333333339,2.4844599999999999,6.11,1.6972222222222224E-3,113.71504,-1591.05,-0.44195833333333334]
[null,"Uranus",19.191263930000002,1.5202499999999999E-3,313.23218000000003,1542547.79,428.48549722222225,4.7167710000000002E-2,-1.9149999999999999E-4,170.96423999999999,1312.56,0.36459999999999998,0.76985999999999999,-2.09,-5.8055555555555551E-4,74.229879999999994,-1681.4,-0.46705555555555556]
[null,"Neptun",30.068963480000001,-1.2519600000000001E-3,304.88002999999998,786449.21,218.45811388888887,8.5858700000000007E-3,2.51E-5,44.971350000000001,-844.43,-0.23456388888888888,1.7691699999999999,-3.64,-1.0111111111111111E-3,131.72169,-151.25,-4.2013888888888892E-2]
[null,"Pluto",39.481686770000003,-7.6911999999999998E-4,238.92881,522747.9,145.20775,0.24880766000000001,6.4649999999999999E-5,224.06675999999999,-132.25,-3.6736111111111108E-2,17.141749999999998,11.07,3.075E-3,110.30347,-37.33,-1.0369444444444443E-2]
[]
[]
[null,null,"AE",null,"Heliozentrische Länge l(°)",null,null,"Exzentrizität",null,"Perihel",null,"Inklination ",null,"Knoten, (°)",null,"Heliozentrische Breite",null,"Heliozentrische Länge l(°)",null,null,"E28+G28*$D$17"]
[null,null,null,null,"Rohwerte","l (°)",null,"e",null,"l° ",null,"i (°)",null,"W",null,"b",null,null,null,null,"E41-GANZZAHL(E41/360)*360"]
[null,"Merkur",{"$f":"C28+D28*$D$17","v":0.38709905576912373},null,{"$f":"E28+G28*$D$17","v":28735.655840198746},{"$f":"E41-INT(E41/360)*360","v":295.65584019874586},null,{"$f":"H28+I28*$D$17","v":0.20563550543296555},null,{"$f":"J28+L28*$D$17","v":77.486810857033419},null,{"$f":"M28+O28*$D$17","v":7.003625542045687},null,{"$f":"P28+R28*$D$17","v":48.308045942789867},null,{"$f":"ASIN(SIN(RADIANS(L41))*SIN(RADIANS(F41-N41)))*180/PI()","v":-6.4609642082345813},null,"Exzentrizität",null,null,"H28+I28*$D$17"]
[null,"Venus",{"$f":"C29+D29*$D$17","v":0.72333216531453615},null,{"$f":"E29+G29*$D$17","v":11333.092439846941},{"$f":"E42-INT(E42/360)*360","v":173.09243984694149},null,{"$f":"H29+I29*$D$17","v":6.7638201828318818E-3},null,{"$f":"J29+L29*$D$17","v":131.52722087514127},null,{"$f":"M29+O29*$D$17","v":3.3945586112399262},null,{"$f":"P29+R29*$D$17","v":76.627921489150324},null,{"$f":"ASIN(SIN(RADIANS(L42))*SIN(RADIANS(F42-N42)))*180/PI()","v":3.3729501746330923}]
[null,"Erde",1.000000100472036,null,6960.4787773966009,120.47877739660089,null,1.6702971125049107E-2,null,{"$f":"J30+L30*$D$17","v":103.010618714483},null,-2.434681257996067E-3,null,-12.225518379656302,null,-1.789158993616611E-3,null,"Perihel",null,null,"J28+L28*$C$14"]
[null,"Mars",1.5236485497145056,null,4002.8163353907112,42.816335390711174,null,9.3435010365316915E-2,null,336.12345697515667,null,1.8492617931052162,null,49.524538147153919,null,-0.21598068439575391]
[null,"Jupiter",5.203478749988931,null,612.70300416667237,252.70300416667237,null,4.8368115964940187E-2,null,14.798310126310794,null,1.3050803274984941,null,100.62057862136334,null,0.61099849033635778,null,"Inklination ",null,null,"M28+O28*$C$14"]
[null,"Saturn",9.5364957266077965,null,282.90584067135285,282.90584067135285,null,5.4080546598069192E-2,null,92.328779146636208,null,2.4847834214419757,null,113.63082073891064,null,0.4622658583080122]
[null,"Uranus",19.191553627743012,null,394.88406716182902,34.884067161829023,null,4.7131217898183586E-2,null,171.03371791290999,null,0.76974936975225372,null,74.140878230353749,null,-0.48708659933084369,null,"Knoten, (°)",null,null,"P28+R28*$D$17"]
[null,"Neptun",30.068724907405798,null,346.50925054650219,346.50925054650219,null,8.5906530378882101E-3,null,44.926651674591191,null,1.7689773233962696,null,131.71368386364992,null,-1.0093587993907478]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Heliozentrische Breite",null,null,"ARCSIN(SIN(BOGENMASS(L41))*SIN(BOGENMASS(F41-N41)))*180/PI()"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"sin(b) = sin(i)*sin(l - v)"]
[]
[]
[null,null,"Mittlere Anomalie",null,null,"Exzentrische Anomalie",null,"Wahre Anomalie",null,"Bahnradius",null,"Bahnradius",null,"Entfernung",null,"Entfernung",null,"Mittlere Anomalie",null,null,"C56+180/PI()*(((H41-1/8*H41^3)*SIN(BOGENMASS(C56))+(1/2)*(H41^2)*SIN(BOGENMASS(2*C56)))+3/8*H41^3*SIN(BOGENMASS(3*C56)))"]
[null,null,"M",null,null,"E",null,"v",null,"r (AE)",null,"Mill. km",null,"Erde-Planet AE",null,"Erde-Planet (Mill. Km)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Wahre Anomalie",null,null,"C56+180/PI()*((2*H41-0,25*H41^3)*SIN(BOGENMASS(C56))+5/4*H41^2*SIN(BOGENMASS(2*C56))+13/12*H41^3*SIN(BOGENMASS(3*C56)))"]
[null,"Merkur",{"$f":"IF(F41<J41,360+F41-J41,F41-J41)","v":218.16902934171245},null,null,{"$f":"C56+180/PI()*(((H41-1/8*H41^3)*SIN(RADIANS(C56))+(1/2)*(H41^2)*SIN(RADIANS(2*C56)))+3/8*H41^3*SIN(RADIANS(3*C56)))","v":211.93353411224999},null,{"$f":"C56+180/PI()*((2*H41-0.25*H41^3)*SIN(RADIANS(C56))+5/4*H41^2*SIN(RADIANS(2*C56))+13/12*H41^3*SIN(RADIANS(3*C56)))","v":206.13549275550429},null,{"$f":"Tabelle5!E60","v":0.45465700930536035},null,{"$f":"J56*149.7","v":68.062154293012441},null,{"$f":"Tabelle5!E102","v":1.4221098448583236},null,{"$f":"N56*149.7","v":212.88984377529101}]
[null,"Venus",41.565218971800221,null,null,{"$f":"C57+180/PI()*(((H42-1/8*H42^3)*SIN(RADIANS(C57))+(1/2)*(H42^2)*SIN(RADIANS(2*C57)))+3/8*H42^3*SIN(RADIANS(3*C57)))","v":41.823645078777268},null,{"$f":"C57+180/PI()*((2*H42-0.25*H42^3)*SIN(RADIANS(C57))+5/4*H42^2*SIN(RADIANS(2*C57))+13/12*H42^3*SIN(RADIANS(3*C57)))","v":42.082726650242961},null,{"$f":"Tabelle5!F60","v":0.71968627848593203},null,{"$f":"J57*149.7","v":107.73703588934401},null,{"$f":"Tabelle5!F102","v":0.78832916594031843},null,{"$f":"N57*149.7","v":118.01287614126566},null,"Bahnradius (AE)",null,null,"Tabelle5!E57"]
[null,"Erde",17.468158682117888,null,null,17.760076107051805,null,18.054352550349897,null,{"$f":"Tabelle5!G60","v":0.9840931551081632},null,147.31874531969203,null,0,null,{"$f":"N58*149.7","v":0}]
[null,"Mars",66.692878415554503,null,null,71.779831374643408,null,76.952315175958191,null,{"$f":"Tabelle5!H60","v":1.4791295286920501},null,221.42569044519988,null,{"$f":"Tabelle5!H102","v":1.441616121862741},null,{"$f":"N59*149.7","v":215.80993344285233},null,"Bahnradius (Mill. Km)",null,null,"J56*149,7"]
[null,"Jupiter",237.90469404036159,null,null,235.6177096698901,null,233.36065642561388,null,{"$f":"Tabelle5!I60","v":5.345607304788655},null,800.23741352686159,null,{"$f":"Tabelle5!I102","v":5.9875444763920971},null,896.33540811589683]
[null,"Saturn",190.57706152471664,null,null,190.03694898817787,null,189.5103660738807,null,{"$f":"Tabelle5!J60","v":10.044341518046078},null,1503.6379252514978,null,{"$f":"Tabelle5!J102","v":10.976964440742025},null,1643.251576779081,null,"Entfernung (AE)",null,null,"Tabelle5!E98"]
[null,"Uranus",223.85034924891903,null,null,222.04198187952554,null,220.26391103539396,null,{"$f":"Tabelle5!K60","v":19.86330070467454},null,2973.5361154897782,null,{"$f":"Tabelle5!K102","v":19.888226238702821},null,2977.267467933812]
[null,"Neptun",301.58259887191099,null,null,301.16140983274943,null,300.73927653093767,null,{"$f":"Tabelle5!L60","v":29.935062204266384},null,4481.2788119786774,null,{"$f":"Tabelle5!L102","v":30.646739590812359},null,4587.8169167446094,null,"Entfernung (Mill. Km)",null,null,"N56*149,7"]
[]
[]
[]
[null,"DIAGRAMME"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"DIAGRAMME"]
[null,null,"Heliozentrisch",null,null,"Geozentrisch",null,null,null,null,"Ekliptikale ","Ekliptikale",null,null,"Geozentrische Position"]
[null,null,null,null,null,null,null,null,null,null,"Länge (°)","Breite (°)",null,null,"RA","Deklination",null,"Heliozentrisch"]
[null,null,"x","Y",null,"x","y",null,null,null,null,null,null,null,null,null,null,"x",null,null,"J56*SIN(BOGENMASS(F41))*-1",null,null,"Sonne: 0"]
[null,{"$f":"\"Sonne\"","v":"Sonne"},0,0,null,{"$f":"C72-$C$75","v":0.84810830485760025},{"$f":"D72-$D$75","v":0.49915092022584451},null,{"$f":"\"Sonne\"","v":"Sonne"},"Tabelle3",{"$f":"Tabelle3!E53","v":301.3329186786637},0,null,{"$f":"\"Sonne\"","v":"Sonne"},{"$f":"Tabelle3!E78","v":20.237772674770405},{"$f":"Tabelle3!E81","v":-19.863673282896972},null,"Y",null,null,"J56*SIN(BOGENMASS(90-F41))",null,null,"Sonne: 0"]
[null,"Merkur",{"$f":"J56*SIN(RADIANS(F41))*-1","v":0.4098328246071104},{"$f":"J56*SIN(RADIANS(90-F41))","v":0.19685032889241513},null,{"$f":"C73-$C$75","v":1.2579411294647107},{"$f":"D73-$D$75","v":0.69600124911825967},null,"Merkur","Tabelle5",{"$f":"Tabelle5!E85","v":295.71898913698357},{"$f":"Tabelle5!E88","v":-1.8371466136131573},null,"Merkur",{"$f":"Tabelle5!E105","v":19.871203378401564},{"$f":"Tabelle5!E108","v":-22.806388939935687}]
[null,"Venus",{"$f":"(J57*SIN(RADIANS(F42))*-1)","v":-8.6555108207449868E-2},-0.71446242216377431,null,0.76155319665015042,-0.21531150193792981,null,"Venus","Tabelle5",{"$f":"Tabelle5!F85","v":255.11184306397288},{"$f":"Tabelle5!F88","v":3.075677915462478},null,"Venus",{"$f":"Tabelle5!F105","v":16.946738517508312},{"$f":"Tabelle5!F108","v":-19.552046046741367},null,"Geozentrisch"]
[null,"Erde",-0.84810830485760025,-0.49915092022584451,null,0,0,null,"Erde","Tabelle5",0,0,null,"Erde",0,0,null,"x",null,null,"C72-$C$75"]
[null,"Mars",-1.0052910759491538,1.0849949378986794,null,-0.15718277109155354,1.5841458581245238,null,"Mars","Tabelle5",{"$f":"Tabelle5!H85","v":13.712961764974144},{"$f":"Tabelle5!H88","v":0.11727267651055229},null,"Mars",{"$f":"Tabelle5!H105","v":0.83822129405708279},{"$f":"Tabelle5!H108","v":5.5191752162511989},null,"y",null,null,"D72-$D$75"]
[null,"Jupiter",5.1038596465777619,-1.5893816926858562,null,5.9519679514353623,-1.0902307724600115,null,"Jupiter","Tabelle5",{"$f":"Tabelle5!I85","v":255.72495565514023},{"$f":"Tabelle5!I88","v":0.62534629087831206},null,"Jupiter",{"$f":"Tabelle5!I105","v":16.971466745215096},{"$f":"Tabelle5!I108","v":-22.053921387799448}]
[null,"Saturn",9.7906056941910968,2.2433984648334513,null,10.638713999048697,2.7425493850592959,null,"Saturn","Tabelle5",{"$f":"Tabelle5!J85","v":283.56361706969062},{"$f":"Tabelle5!J88","v":0.46448533687869542},null,"Saturn",{"$f":"Tabelle5!J105","v":18.978791095726457},{"$f":"Tabelle5!J108","v":-22.287430553100322},null,"Ekliptikale Länge",null,null,"Tabelle5!E81"]
[null,"Uranus",-11.360174903969844,16.294083006893572,null,-10.512066599112243,16.793233927119417,null,"Uranus","Tabelle5",{"$f":"Tabelle5!K85","v":28.46376594849297},{"$f":"Tabelle5!K88","v":-0.52276214470309412},null,"Uranus",{"$f":"Tabelle5!K105","v":1.7756601211299359},{"$f":"Tabelle5!K108","v":10.440422098964106},null,"Ekliptikale Breite",null,null,"Tabelle5!E84"]
[null,"Neptun",6.983501845485006,29.109081935839292,null,7.8316101503426063,29.608232856065136,null,"Neptun","Tabelle5",{"$f":"Tabelle5!L85","v":344.36755877668548},{"$f":"Tabelle5!L88","v":-0.96492641484040576},null,"Neptun",{"$f":"Tabelle5!L105","v":23.065092578346786},{"$f":"Tabelle5!L108","v":-7.0438010246461573}]
[null,null,null,null,null,null,null,null,"Mond","Tabelle4",{"$f":"Tabelle4!G72","v":127.81167978579441},{"$f":"Tabelle4!G85","v":1.0202021327209911},null,"Mond",{"$f":"Tabelle4!D109","v":8.7000996330197875},{"$f":"Tabelle4!E113","v":19.299325974806866},null,"Geozentrische Position"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RA",null,null,"Tabelle3!E78"]
[null,"Berechnung der X/Y-Koordinaten",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Deklination",null,null,"Tabelle3!E81"]
[null,null,null,null,null,null,null,null,null,null,null,"Elongation"]
[null,"Sinussatz:",null,null,null,null,null,null,null,null,null,"von der Sonne",null,null,null,null,null,"Elongation von der Sonne",null,null,"K73-$K$72"]
[null,null,null,null,null,null,null,null,"Merkur",{"$f":"K73-$K$72","v":-5.613929541680136},{"$f":"IF(J86<0,J86+360,J86)","v":354.38607045831986},{"$f":"IF(K86>180,K86-360,K86)","v":-5.613929541680136},null,null,null,null,null,null,null,null,"WENN(J86<0;J86+360;J86)"]
[null,null,null,null,null,null,null,null,"Venus",-46.221075614690818,{"$f":"IF(J87<0,J87+360,J87)","v":313.77892438530921},{"$f":"IF(K87>180,K87-360,K87)","v":-46.22107561469079},null,null,null,null,null,null,null,null,"WENN(K86>180;K86-360;K86)"]
[null,null,null,null,null,null,null,null,"Erde",-301.3329186786637,{"$f":"IF(J88<0,J88+360,J88)","v":58.667081321336298},58.667081321336298]
[null,null,null,null,null,null,null,null,"Mars",-287.61995691368958,72.380043086310422,72.380043086310422]
[null,null,null,null,null,null,null,null,"Jupiter",-45.607963023523467,314.39203697647656,-45.607963023523439]
[null,null,null,null,null,null,null,null,"Saturn",-17.76930160897308,342.23069839102692,-17.76930160897308]
[null,null,null,null,null,null,null,null,"Uranus",-272.86915273017075,87.130847269829246,87.130847269829246]
[null,null,null,null,null,null,null,null,"Neptun",43.034640098021782,43.034640098021782,43.034640098021782]
[null,null,null,null,null,null,null,null,"Mond",-173.52123889286929,186.47876110713071,-173.52123889286929]

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["Sonne"]
[]
["DATUM",{"$f":"Tabelle1!B10","v":"2019-01-21T16:15:48.450"},"UTC",null,"Sternzeit",null,{"$f":"Tabelle1!B6+Tabelle1!D6","v":"2019-01-21T05:15:00"}]
[null,null,null,null,"Länge (Sonne)",null,{"$f":"E31","v":300.74653538169753}]
["Julianisches Datum: Anzahl seit 01.01. -4723, 00:00 UT",null,null,null,"GMST0=",{"$f":"G4/15+12","v":32.049769025446501},{"$f":"F5/24","v":1.3354070427269376}]
[null,null,null,null,"Länge l°",null,{"$f":"Tabelle1!K6","v":9.73}]
[null,null,null,null,"Uhrzeit (UT)",null,"00:00:00"]
[null,null,null,null,"SIDTIME",{"$f":"F5+G7*24+G6/15","v":32.698435692113165},{"$f":"F8/24","v":1.3624348205047152}]
["T: Anzahl der seit 01.01.2000 vergangenen Jahrhunderte "]
[]
[]
[]
[]
["Julianisches Datum (JD)",null,{"$f":"2451544.5+B3-DATE(2000,1,1)+1","v":2458506.1776440968},null,"\"+1\" , Korrektur",null,"2451544,5+B3-DATUM(2000;1;1)+1",null,"2451544,5 + DATUM - DATUM(2000;1;1)"]
[]
["Differenz zu J2000",null,{"$f":"B3-DATE(2000,1,1)+1","v":6961.6776440968897},"Tage","\"+1\" , Korrektur",null,"B3-DATUM(2000;1;1)+1",null,"DATUM - DATUM(2000;1;1) +1"]
[]
["T (Jahrhunderte)",null,{"$f":"(C14-2451545)/36525","v":0.19058665692256757},null,null,null,"(C14-2451545)/36525",null,"JD-2451545)/36525"]
[]
[null,"v",null,null,{"$f":"282.9404+0.0000470935*C16","v":283.26824976613227},null,"282,9404+0,0000470935*C16",null,"Länge des Perihelions (Periapsis)"]
[]
[null,"a=",null,null,1,null,1,null,"Mittlere Distanz Erde - Somnne (1 AU)"]
[]
[null,"e=",null,null,{"$f":"0.016709-0.000000001151*C16","v":1.6700987109031645E-2},null,"0,016709-0,000000001151*C16",null,"Exzentrizität"]
[]
[null,"M=",null,null,{"$f":"356.047+0.9856002585*C16","v":7217.4782856155653},null,"356,047+0,9856002585*C16",null,"Mittlere Anomalie"]
[null,null,null,null,{"$f":"E26-INT(E26/360)*360","v":17.478285615565255},null,"E26-GANZZAHL(E26/360)*360",null,"Auf Bereich 0°-360° reduziert: M-GANZZAHL(L/360)*360"]
[]
[]
[null,"Heliozentrische Länge",null,null,{"$f":"E20+E27","v":300.74653538169753},null,"E20+E27",null,"L=v+M"]
[null,null,null,null,{"$f":"E30-INT(E30/360)*360","v":300.74653538169753},null,"E30-GANZZAHL(E30/360)*360",null,"Auf Bereich 0°-360° reduziert: L-GANZZAHL(L/360)*360"]
[]
[null,"E=",null,null,{"$f":"E27+(180/PI()*E24*SIN(RADIANS(E27))*(1+E24*COS(RADIANS(E27))))","v":17.77026215832219},null,"E27+(180/PI()*E24*SIN(BOGENMASS(E27))*(1+E24*COS(BOGENMASS(E27))))",null,"Exzentrische Anomalie"]
[]
[]
[]
[]
[null,"X",null,null,{"$f":"COS(RADIANS(E33))-E24","v":0.93558694035183887},null,"COS(BOGENMASS(E33))-E24",null,"X=cos(E) - e"]
[]
[null,"Y",null,null,{"$f":"SIN(RADIANS(E33))*SQRT(1-E24^2)","v":0.30515851975360664},null,"SIN(BOGENMASS(E33))*WURZEL(1-E24^2)",null,"Y=sin(E) * WURZEL(1 - e^2)"]
[]
[]
[]
[null,"Entfernung r",null,null,{"$f":"SQRT(E38^2+E40^2)","v":0.9840958515993895},null,"WURZEL(E38^2+E40^2)",null,"WURZEL(x^2+ y^2)"]
[]
[]
[]
["Wahre Anomalie"]
[null,"v=arctan2( y, x )",null,null,{"$f":"ATAN2(E40,E38)*180/PI()","v":71.935331087468555},null,"ARCTAN2(E40;E38)*180/PI()",null,"Quadrant beachten!"]
[null,null,null,null,{"$f":"IF(ATAN2(E38,E40)*180/PI()<0,360+ATAN2(E38,E40)*180/PI(),ATAN2(E38,E40)*180/PI())","v":18.064668912531452},null,"WENN(ARCTAN2(E38;E40)*180/PI()<0;360+ARCTAN2(E38;E40)*180/PI();ARCTAN2(E38;E40)*180/PI())",null,"WENN v<0; 360 - v"]
["Ekliptikale Länge"]
[null,"Länge l",null,null,{"$f":"E20+E50","v":301.3329186786637},null,"E20+E50",null,"v+v"]
[null,null,null,null,{"$f":"E52-INT(E52/360)*360","v":301.3329186786637},null,"E52-GANZZAHL(E52/360)*360",null,"l-GANZZAHL(l/360)*360"]
[]
[]
[null,"x(Ekliptik)=",null,null,{"$f":"E44*COS(RADIANS(E53))","v":0.51173963095330666},null,"E44*COS(BOGENMASS(E53))",null,"r*COS(l)"]
[]
[null,"y(Ekliptik)=",null,null,{"$f":"E44*SIN(RADIANS(E53))","v":-0.84057551430368294},null,"E44*SIN(BOGENMASS(E53))",null,"r*SIN(l)"]
[]
[null,"z(Ekliptik)=",null,null,0,null,"0: Sonne \"läuft\" scheinbar nahezu entlang die Ekliptik",null,0]
[]
["Umwandlung Ekliptikales System - Äquatoriales System"]
[]
[null,"Schiefe der Ekliptik e",null,null,23.4406,null,23.4406]
[]
[null,"x(Äquator)=",null,null,{"$f":"E56","v":0.51173963095330666},null,"E56",null,"x(Äquator) = x(Ekliptik)"]
[]
[null,"y(Äquator)=",null,null,{"$f":"E58*COS(RADIANS(E64))-E60*SIN(RADIANS(E64))","v":-0.7712053176867909},null,"E58*COS(BOGENMASS(E64))-E60*SIN(BOGENMASS(E64))",null,"y(Ekliptik)*COS(e) - z(Ekliptik)*SIN(e)"]
[]
[null,"z(Äquator)=",null,null,{"$f":"E58*SIN(RADIANS(E64))+E60*COS(RADIANS(E64))","v":-0.33437935525166174},null,"E58*SIN(BOGENMASS(E64))+E60*COS(BOGENMASS(E64))",null,"y(Ekliptik)*SIN€ + z(Ekliptik)*COS(e)"]
[]
["Geozentrische Position"]
[]
[null,"r = (Distanz Erde - Sonne)",null,null,{"$f":"SQRT(E66^2+E68^2+E70^2)","v":0.9840958515993895},null,"WURZEL(E66^2+E68^2+E70^2)",null,"WURZEL(x^2 + y^2 + z^2)"]
[]
[null,null,null,null,{"$f":"ATAN2(E66,E68)*180/PI()","v":-56.433409878443918},null,"ARCTAN2(E66;E68)*180/PI()",null,"ARCTAN2(x;y)*180/PI()"]
[null,"Stundenwinkel",null,null,{"$f":"IF(E76<0,360+E76,E76)","v":303.56659012155609},null,"WENN(E76<0;360+E76;E76)",null,"WENN STUNDENWINKEL<0,360+RA"]
[null,"RA",null,null,{"$f":"E77/15","v":20.237772674770405},null,"E77/15",null,"STUNDENWINKEL/15"]
[null,null,null,null,{"$f":"E78/24","v":"20:14:15.982"},null,"E78/24",null,"Zeitformat"]
[]
[null,"d Deklination",null,null,{"$f":"ASIN(E70/E74)*180/PI()","v":-19.863673282896972},null,"ARCSIN(E70/E74)*180/PI()",null,"ARCSIN(z/r)*180/PI()"]
[]
[null,null,"Alternativ",null,{"$f":"ATAN2(E70,SQRT(E66^2+E68^2))*180/PI()","v":109.86367328289698},null,"ARCTAN2(E70;WURZEL(E66^2+E68^2))*180/PI()",null,"ARCTAN2(z;WURZEL(x^2+y^2))*180/PI()"]
[null,null,null,null,{"$f":"IF(E83>E64,90-E83,E83)","v":-19.863673282896983},null,"WENN(E83>E64;90-E83;E83)",null,"WENN d > e; 90 - d"]
[]
["Geographische Länge",null,null,null,{"$f":"Tabelle1!K6","v":9.73},null,"Tabelle1!G6"]
[]
["Geographische Breite",null,null,null,{"$f":"Tabelle1!M6","v":52.38},null,"Tabelle1!I6"]
[]
[]
["Zeitgleichung"]
[]
[null,"https://de.wikipedia.org/wiki/Zeitgleichung"]
[]
[null,"ZG*",null,null,{"$f":"ATAN((TAN(RADIANS(E31))-TAN(RADIANS(E53))*COS(RADIANS(E64)))/(1+TAN(RADIANS(E31))*TAN(RADIANS(E53))*COS(RADIANS(E64))))*180/PI()","v":-2.8200547398585587},"°","ARCTAN((TAN(BOGENMASS(E31))-TAN(BOGENMASS(E53))*COS(BOGENMASS(E64)))/(1+TAN(BOGENMASS(E31))*TAN(BOGENMASS(E53))*COS(BOGENMASS(E64))))*180/PI()"]
[null,null,null,null,null,null,"ARCTAN((TAN(BOGENMASS(HEL.LÄNGE))-TAN(BOGENMASS(EKL.LÄNGE))*COS(BOGENMASS(SCHIEFE EKL)))/(1+TAN(BOGENMASS(HEL.LÄNGE))*TAN(BOGENMASS(EKL.LÄNGE))*COS(BOGENMASS(SCHIEFE EKL))))*180/PI()"]
[null,"ZG",null,null,{"$f":"E95*4","v":-11.280218959434235},"min","E95*4"]
[]
[]
[]
["Tageslänge, Durchgang, Aufgang und Untergang",null,null,null,null,null,{"$f":"ACOS(((SIN(RADIANS(E88))*SIN(RADIANS(E81))/(COS(RADIANS(E88))*COS(RADIANS(E81))))))*180/PI()","v":117.95581100101883},null,null,null,null,null,{"$f":"TAN(RADIANS(E88))*TAN(RADIANS(E81))","v":-0.46879045561442839}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ACOS(TAN(RADIANS(E88))*TAN(RADIANS(E81)))*180/PI()","v":117.95581100101882},{"$f":"ACOS(M101)*180/PI()/12","v":9.829650916751568}]
["astronomisch",null,null,null,{"$f":"ACOS((SIN(RADIANS(-0.833))-(SIN(RADIANS(E88))*SIN(RADIANS(E81))/(COS(RADIANS(E88))*COS(RADIANS(E81))))))*180/PI()","v":62.983158958933267},null,"ARCCOS((SIN(BOGENMASS(-0,833))-(SIN(BOGENMASS(E88))*SIN(BOGENMASS(E81))/(COS(BOGENMASS(E88))*COS(BOGENMASS(E81))))))*180/PI()"]
[null,null,null,null,{"$f":"E103/15","v":4.1988772639288845},null,"E103/15"]
[null,"Halber Tagbogen",null,{"$f":"12*ACOS((SIN(RADIANS(-0.833))-(SIN(RADIANS(E88))*SIN(RADIANS(E81))/(COS(RADIANS(E88))*COS(RADIANS(E81))))))/PI()","v":4.1988772639288845},null,null,"12*ARCCOS((SIN(BOGENMASS(-0,833))-(SIN(BOGENMASS(E88))*SIN(BOGENMASS(E81))/(COS(BOGENMASS(E88))*COS(BOGENMASS(E81))))))/PI()"]
[null,null,null,null,null,null,"12*ARCCOS((SIN(BOGENMASS(-0,833))-(SIN(BOGENMASS(BREITE))*SIN(BOGENMASS(DEKL))/(COS(BOGENMASS(BREITE))*COS(BOGENMASS(DEKL))))))/PI()"]
[null,"Tageslänge",null,{"$f":"2*D105","v":8.397754527857769},null,null,"2*D105"]
[null,null,null,null,{"$f":"D107/24","v":"08:23:51.916"},null,"D107/24"]
[]
[]
[null,"Mittag","MOZ",12,null,null,12]
[null,"Zeitgleichung (min)",null,{"$f":"E97","v":-11.280218959434235},null,null,"E97"]
[null,null,null,{"$f":"D112/60","v":-0.18800364932390393},null,null,"D112/60"]
[]
[null,"Differenz MEZ/MEZ - MOZ",null,{"$f":"(15-E86)*4/60","v":0.35133333333333333},null,null,"(15-E86)*4/60"]
[null,"Mittag MEZ",null,{"$f":"12+D115-D113","v":12.539336982657236},null,null,"12+D115-D113"]
[null,null,null,null,{"$f":"D116/24","v":"12:32:21.613"},null,"D116/24"]
[]
[]
[null,"SA","MEZ",{"$f":"D116-D105","v":8.3404597187283507},null,null,"D116-D105"]
[null,null,null,null,{"$f":"D120/24","v":"08:20:25.655"},null,"D120/24"]
[]
[null,null,null,"Azimut",{"$f":"DEGREES(ACOS((SIN(RADIANS(E81))/COS(RADIANS(E88)))))","v":123.82354399054485},null,"GRAD(ARCCOS((SIN(BOGENMASS(E81))/COS(BOGENMASS(E88)))))"]
[null,null,null,null,null,null,"GRAD(ARCCOS((SIN(BOGENMASS(DEKL))/COS(BOGENMASS(BREITE)))))"]
[null,"SU","MEZ",{"$f":"D116+D105","v":16.738214246586121},null,null,"D116+D105"]
[null,null,null,null,{"$f":"D125/24","v":"16:44:17.571"},null,"D125/24"]
[]
[null,null,null,"Azimut",{"$f":"360-DEGREES(ACOS((SIN(RADIANS(E81))/COS(RADIANS(E88)))))","v":236.17645600945514},null,"360-GRAD(ARCCOS((SIN(BOGENMASS(E81))/COS(BOGENMASS(E88)))))"]
[null,null,null,null,null,null,"360-GRAD(ARCCOS((SIN(BOGENMASS(DEKL))/COS(BOGENMASS(BREITE)))))"]

{"sheet":"Tabelle4","index":3,"n_rows":208,"n_cols":19,"rows_kept":208,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Mond"]
[]
[null,"DATUM",{"$f":"Tabelle1!B10","v":"2019-01-21T16:15:48.450"},"UTC"]
[]
[null,"Julianisches Datum: Anzahl der Tage seit dem 01. Januar -4723, 00:00 UT"]
[]
[]
[]
[null,"T: Anzahl der dem 01.01.2000 vergangenen Jahrhunderte seit "]
[]
[]
[]
[]
[null,"Julianisches Datum",null,{"$f":"2451544.5+C4-DATE(2000,1,1)","v":2458505.1776440968}]
[]
[null,"Differenz zu J2000",null,{"$f":"C4-DATE(2000,1,1)","v":6960.6776440968897},"Tage"]
[]
[null,"T",null,{"$f":"(D15-2451545)/36525","v":0.19055927841469625}]
[]
[]
[]
[]
[null,"Daten aus : Montenbruck, Grundlagen der Ephemeridenrechnung, Springer Spektrum Verlag, 2005"]
[]
[]
[]
[null,"Ekliptikale Länge und Breite des Mondes"]
[]
[null,null,null,null,null,null,null,null,"WERT-GANZZAHL(WERT/360)*360"]
[null,"L0","Mittlere Länge des Mondes",null,null,null,{"$f":"218.31665+481267.88134*$D$19-0.0011327*$D$19^2","v":91928.376801188497},null,{"$f":"G31-INT(G31/360)*360","v":128.37680118849676},null,"218,31665 + 481267,88134*T - 0,0011327*T^2"]
[null,"l","Mittlere Anomalie des Mondes",null,null,null,{"$f":"134.96341+477198.86763*$D$19+0.008997*$D$19^2","v":91069.635612589555},null,{"$f":"G32-INT(G32/360)*360","v":349.63561258955451},null,"134,96341 + 477198,86763*T + 0,008997*T^2"]
[null,"l´","Mittlere Anomalie der Sonne",null,null,null,{"$f":"357.52911+35999.05029*$D$19+0.000154*$D$19^2","v":7217.4821624689394},null,{"$f":"G33-INT(G33/360)*360","v":17.48216246893935},null,"357,52911 + 35999,05029*T + 0,000154*T^2"]
[null,"F","Winkel Mond / Aufsteigender Knoten",null,null,null,{"$f":"93.2721+483202.01753*$D$19+0.003403*$D$19^2","v":92171.900012614802},null,{"$f":"G34-INT(G34/360)*360","v":11.900012614802108},null,"93,2721 + 483202,01753*T +0,003403*T^2"]
[null,"D","Mittlerer Abstand Mond - Sonne",null,null,null,{"$f":"297.85002+445267.11152*$D$19+0.00163*$D$19^2","v":85147.629552237209},null,{"$f":"G35-INT(G35/360)*360","v":187.62955223720928},null,"297,85002 + 445267,11152*T + 0,00163*T^2"]
[]
[null,"e","Exzentrizität der Bahn",null,null,null,5.5545525999999998E-2]
[]
[null,"r","Mittlerer Bahnradius des Mondes (Mill. Km)",null,null,null,0.38440000000000002]
[]
[null,null,"Siderische Umlaufzeit (Tage)",null,null,null,27.321662]
[]
[]
[null,"Wahre Anomalie",null,{"$f":"I32+180/PI()*((2*G37-0.25*G37^3)*SIN(RADIANS(I32))+5/4*G37^2*SIN(RADIANS(2*I32))+13/12*G37^3*SIN(RADIANS(3*I32)))","v":348.40722846043042},null,"I34+180/PI()*((2*G39-0,25*G39^3)*SIN(BOGENMASS(I34))+5/4*G39^2*SIN(BOGENMASS(2*I34))+13/12*G39^3*SIN(BOGENMASS(3*I34)))"]
[null,"r",null,{"$f":"G39*(1-G37^2)/(1+G37*COS(RADIANS(D44)))","v":0.363438439515821}]
[null,null,null,{"$f":"D45*1000000","v":363438.439515821},null,null,null,null,"TRY",370299,"Radius eingegeben (timeanddate)"]
[null,null,null,null,null,null,null,null,null,{"$f":"($D$49/(J46^2*PI()))*360","v":14.198977336126342},"korrigierte Winkelgeschwindigkeit"]
[null,"Mittlere  Winkelgeschw.",null,{"$f":"360/G41","v":13.176358012188278},"Grad / Tag",null,null,null,null,{"$f":"J47/24","v":0.59162405567193088}]
[null,"Fläche der Umlaufbahn",null,{"$f":"G39^2*PI()*D48/360*1000000000000","v":16990631325.639847},"km2","A=r2*PI*Theta/360°"]
[null,"aktuelle Winkelgeschw.",null,{"$f":"($D$49/($D$46^2*PI()))*360","v":14.740099876983841},"Grad / Tag"]
[null,null,null,{"$f":"D50/24","v":0.61417082820766},"Grad / Stunde"]
[]
[null,"Berücksichtigung von Störfaktoren"]
[]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"I31+6.288889*SIN(RADIANS(I32))+0.2136111*SIN(RADIANS(2*I32))+0.01*SIN(RADIANS(3*I32))","v":127.16461042045255},null,"I33+6,288889*SIN(BOGENMASS(I34))+0,2136111*SIN(BOGENMASS(2*I34))+0,01*SIN(BOGENMASS(3*I34))"]
[null,null,null,null,null,null,{"$f":"1.273889*SIN(RADIANS(I32-2*I35))","v":-0.55090027067246961},null,"1,273889*SIN(BOGENMASS(I34-2*I37))"]
[null,null,null,null,null,null,{"$f":"0.6583334*SIN(RADIANS(2*I35))","v":0.17326315908236933},null,"0,6583334*SIN(BOGENMASS(2*I37))"]
[null,null,null,null,null,null,{"$f":"0.1855556*SIN(RADIANS(I33))","v":5.5742548173240446E-2},null,"0,1855556*SIN(BOGENMASS(I35))"]
[null,null,null,null,null,null,{"$f":"0.1144445*SIN(RADIANS(2*I34))","v":4.6183585777288157E-2},null,"0,1144445*SIN(BOGENMASS(2*I36))"]
[null,null,null,null,null,null,{"$f":"0.058889*SIN(RADIANS(2*I32-2*I35))","v":-3.4604006420843936E-2},null,"0,058889*SIN(BOGENMASS(2*I34-2*I37))"]
[null,null,null,null,null,null,{"$f":"0.057222*SIN(RADIANS(I32+I33-2*I35))","v":-8.103512603559522E-3},null,"0,057222*SIN(BOGENMASS(I34+I35-2*I37))"]
[null,null,null,null,null,null,{"$f":"0.053333*SIN(RADIANS(I32+2*I35))","v":4.5506411650971072E-3},null,"0,053333*SIN(BOGENMASS(I34+2*I37))"]
[null,null,null,null,null,null,{"$f":"0.0458333*SIN(RADIANS(I33-2*I35))","v":1.7778712897974767E-3},null,"0,0458333*SIN(BOGENMASS(I35-2*I37))"]
[null,null,null,null,null,null,{"$f":"0.041111*SIN(RADIANS(I32-I33))","v":-1.920316035468354E-2},null,"0,041111*SIN(BOGENMASS(I34-I35))"]
[null,null,null,null,null,null,{"$f":"0.0347222*SIN(RADIANS(I35))","v":-4.6099840496228997E-3},null,"0,0347222*SIN(BOGENMASS(I37))"]
[null,null,null,null,null,null,{"$f":"0.030555*SIN(RADIANS(I32+I33))","v":3.786049431328146E-3},null,"0,030555*SIN(BOGENMASS(I34+I35))"]
[null,null,null,null,null,null,{"$f":"0.0152778*SIN(RADIANS(2*I34-2*I35))","v":2.2689936257668333E-3},null,"0,0152778*SIN(BOGENMASS(2*I36-2*I37))"]
[]
[null,null,null,null,null,"l",{"$f":"G58-G59+G60-G61-G62-G63-G64+G65-G66+G67-G68-G69-G70","v":127.81167978579441},null,"G50-G51+G52-G53-G54-G55-G56+G57-G58+G59-G60-G61-G62"]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"5.145*SIN(RADIANS(I34+G72-I31+0.114*SIN(RADIANS(2*I34))+0.15*SIN(RADIANS(I33))))","v":1.019231770435723},null,"5,145*SIN(BOGENMASS(I36+G64-I33+0,114*SIN(BOGENMASS(2*I36))+0,15*SIN(BOGENMASS(I35))))"]
[null,null,null,null,null,null,{"$f":"0.14611*SIN(RADIANS(+I34-2*I35))","v":-8.5611157922008893E-3},null,"0,14611*SIN(BOGENMASS(+I36-2*I37))"]
[null,null,null,null,null,null,{"$f":"0.012222*SIN(RADIANS(+I32+I34-2*I35))","v":-2.8995015432571125E-3},null,"0,012222*SIN(BOGENMASS(+I34+I36-2*I37))"]
[null,null,null,null,null,null,{"$f":"0.008611*SIN(RADIANS(-I32+I34-2*I35))","v":1.0502068492173309E-3},null,"0,008611*SIN(BOGENMASS(-I34+I36-2*I37))"]
[null,null,null,null,null,null,{"$f":"0.0059444*SIN(RADIANS(-2*I32+I34))","v":3.2051847839178263E-3},null,"0,0059444*SIN(BOGENMASS(-2*I34+I36))"]
[null,null,null,null,null,null,{"$f":"0.0063888*SIN(RADIANS(I33+I34-2*I35))","v":1.5589024587818496E-3},null,"0,0063888*SIN(BOGENMASS(I35+I36-2*I37))"]
[null,null,null,null,null,null,{"$f":"0.0058333*SIN(RADIANS(-I32+I34))","v":2.2101278177027476E-3},null,"0,0058333*SIN(BOGENMASS(-I34+I36))"]
[null,null,null,null,null,null,{"$f":"0.0030555*SIN(RADIANS(-I33+I34-2*I35))","v":-1.0870856894613361E-3},null,"0,0030555*SIN(BOGENMASS(-I35+I36-2*I37))"]
[]
[null,null,null,null,null,"b",{"$f":"G76-G77+G78-G79-G80-G81+G82+G83","v":1.0202021327209911},null,"G68-G69+G70-G71-G72-G73+G74+G75"]
[null,"Umwandlung in karthesisches System (X,Y,Z)"]
[]
[null,"X(Ekliptik) =",null,null,{"$f":"G39*COS(RADIANS(G72))*COS(RADIANS(G85))","v":-0.23562602574408359},null,null,null,"1*COS(BOGENMASS(G64))*COS(BOGENMASS(G77))",null,null,null,null,null,null,"r*COS(l)*COS(d)",null,null,"Bahnradius = 1"]
[]
[null,"y(Ekliptik) =",null,null,{"$f":"G39*SIN(RADIANS(G72))*COS(RADIANS(G85))","v":0.3036394121831365},null,null,null,"1*SIN(BOGENMASS(G64))*COS(BOGENMASS(G77))",null,null,null,null,null,null,"r*SIN(l)*COS(d)"]
[]
[null,"z(Ekliptik) =",null,null,{"$f":"G39*SIN(RADIANS(G85))","v":6.8442210022613744E-3},null,null,null,"1*SIN(BOGENMASS(G77))",null,null,null,null,null,null,"r*SIN(d)"]
[]
[null,"Schiefe der Ekliptik e ",null,null,{"$f":"23.439-0.0000004*D17","v":23.436215728942361},null,{"$f":"23.439-0.0000004*D17","v":23.436215728942361},null,"23,439-0,0000004*D17"]
[]
[]
[null,"X(Äquator) =",null,null,{"$f":"E88","v":-0.23562602574408359},null,null,null,"E80",null,null,null,null,null,null,"= X(Ekliptik)"]
[]
[null,"y(Äquator) =",null,null,{"$f":"E90*COS(RADIANS(E94))-E92*SIN(RADIANS(E94))","v":0.27586805888230553},null,null,null,"E82*COS(BOGENMASS(E86))-E84*SIN(BOGENMASS(E86))",null,null,null,null,null,null,"y(Ekliptik)*COS(e) -z(Ekliptik)*SIN(e)"]
[]
[null,"z(Äquator) =",null,null,{"$f":"E90*SIN(RADIANS(E94))+E92*COS(RADIANS(E94))","v":0.12704546462017949},null,null,null,"E82*SIN(BOGENMASS(E86))+E84*COS(BOGENMASS(E86))",null,null,null,null,null,null,"y(Ekliptik)*SIN(e) -z(Ekliptik)*COS(e)"]
[]
[]
[null,"r=",null,null,{"$f":"SQRT(E97^2+E99^2+E101^2)","v":0.38440000000000007}]
[]
[null,null,{"$f":"ATAN2(E97,E99)*180/PI()","v":130.50149449529681},null,null,null,null,null,"ARCTAN2(E89;E91)*180/PI()"]
[null,null,"Stundenwinkel",{"$f":"C106-INT(C106/360)*360","v":130.50149449529681},null,{"$f":"C106-INT(C106/360)*360","v":130.50149449529681},null,null,"C98-GANZZAHL(C98/360)*360",null,null,"oder","WENN(C98<0;360+C98;C98)"]
[]
[null,null,"Stundenwinkel/15",{"$f":"D107/15","v":8.7000996330197875},null,null,null,null,"D99/15"]
[null,"Rektaszension",null,null,{"$f":"D109/24","v":"08:42:00.359"},null,null,null,"D101/24"]
[null,"(geozentrisch)"]
[]
[null,"Deklination",null,null,{"$f":"ASIN(E101/E104)*180/PI()","v":19.299325974806866},null,null,null,"ARCSIN(E93/E96)*180/PI()"]
[null,"(geozentrisch)"]
[]
[null,null,"Alternativ",null,{"$f":"ATAN2(E101,SQRT(E97^2+E99^2))*180/PI()","v":70.700674025193123},null,null,null,"ARCTAN2(E93;WURZEL(E89^2+E91^2))*180/PI()"]
[null,null,null,null,{"$f":"90-E116","v":19.299325974806877},null,null,null,"90-E108"]
[]
[]
[]
[null,"Topzentrische Deklination"]
[]
[]
[]
[null,null,"Erdradius",null,6370]
[]
[null,null,"Mondentfernung",null,{"$f":"D45*1000000","v":363438.439515821}]
[]
[null,null,"Vereinfachte Rechnung"]
[]
[null,null,"Parallaxe",null,{"$f":"ATAN(E125/E127)*180/PI()","v":1.0041225960355231},"Grad",null,null,"ARCTAN(E117/E119)*180/PI()"]
[]
[null,null,"Verbesserte Deklination",null,{"$f":"E113-E131","v":18.295203378771344},null,null,null,"E105-E123"]
[]
[null,null,"Berechnung unter Einschluss der geographischen Breite"]
[]
[null,null,"Geographische Breite",null,{"$f":"Tabelle1!M6","v":52.38},null,null,null,"Übernahme Tabelle 1"]
[]
[null,null,"Dekl",null,{"$f":"E113","v":19.299325974806866},null,null,null,"E105"]
[]
[]
[null,null,null,null,{"$f":"E137-E139","v":33.080674025193133},null,null,null,"E129-E131"]
[]
[null,null,"Breite - Deklination",null,{"$f":"SQRT(E125^2+E127^2-2*E125*E127*COS(RADIANS(E142)))","v":358117.87662141171},null,null,null,"WURZEL(E117^2+E119^2-2*E117*E119*COS(BOGENMASS(E134)))",null,null,null,null,null,"Kosinussatz"]
[]
[null,null,"Parallaxe",null,{"$f":"ASIN(E125*SIN(RADIANS(E142))/E144)*180/PI()","v":0.55627792684520971},null,null,null,"ARCSIN(E117*SIN(BOGENMASS(E134))/E136)*180/PI()",null,null,null,null,null,"Sinussatz"]
[]
[null,null,"Verbesserte Deklination",null,{"$f":"E113-E146","v":18.743048047961658},null,null,null,"Geozentrische Deklination - Parallaxe"]
[]
[]
[]
[]
[]
[]
[null,"Topozentrische Rektaszension und Deklination:"]
[null,"nach Schlyter"]
[]
[]
[]
[]
[null,null,"Mondparallaxe mpar",null,null,null,{"$f":"ATAN(E125/E127)*180/PI()","v":1.0041225960355231},null,"ARCTAN(E117/E119)*180/PI()"]
[]
[]
[]
[]
[null,null,"geographische Breite in geozentrische Breite",null,null,null,{"$f":"Tabelle1!M6-0.1924*SIN(RADIANS(2*Tabelle1!M6))","v":52.193948913754511},null,"Tabelle1!I6-0,1924*SIN(BOGENMASS(2*Tabelle1!I6))"]
[]
[null,null,"Korrektur Erdradius (Berücksichtung der Abplattung)",null,null,null,{"$f":"0.99833+0.00167*COS(RADIANS(2*Tabelle1!M6))","v":0.99790453288810876},null,"0,99833+0,00167*COS(BOGENMASS(2*Tabelle1!I6))"]
[]
[null,null,null,null,null,"Sternzeit",{"$f":"Tabelle3!F8","v":32.698435692113165},null,"Tabelle3!F8"]
[]
[]
[null,null,null,null,null,"HA",{"$f":"G170-D107","v":-97.803058803183646},null,"G162-D99"]
[]
[]
[]
[null,null,"Hilfswinkel g",null,null,null,{"$f":"ATAN(TAN(RADIANS(G166))/COS(RADIANS(G170-D107)))*180/PI()","v":-83.986878505313896},null,"ARCTAN(TAN(BOGENMASS(G158))/COS(BOGENMASS(G162-D99)))*180/PI()"]
[]
[]
[]
[]
[null,null,"Topozentrische Rektaszension und Deklination"]
[]
[null,null,null,null,null,null,{"$f":"G161*G168*COS(RADIANS(G166))*SIN(RADIANS(G173))/COS(RADIANS(E113))","v":-0.64477358498189508},null,"G153*G160*COS(BOGENMASS(G158))*SIN(BOGENMASS(G165))/COS(BOGENMASS(E105))"]
[]
[null,null,null,null,null,null,{"$f":"D107-G184","v":131.1462680802787},null,"D99-G176"]
[]
[null,null,null,null,null,"►",{"$f":"G186/15/24","v":"08:44:35.104"},null,"G178/15/24"]
[]
[null,null,null,null,null,null,{"$f":"G161*G168*SIN(RADIANS(G166))*SIN(RADIANS(G177-E113))/SIN(RADIANS(G177))","v":0.77475778210335855},null,"G153*G160*SIN(BOGENMASS(G158))*SIN(BOGENMASS(G169-E105))/SIN(BOGENMASS(G169))"]
[]
[null,null,null,null,null,"►",{"$f":"E113-G190","v":18.524568192703509},null,"E105-G182"]
[]
[]
[null,null,null,null,null,null,"Vereinfacht"]
[null,null,null,null,null,null,null,"RA top",{"$f":"D107-(G161*COS(RADIANS(Tabelle1!M6))*SIN(RADIANS(G173))/COS(RADIANS(E113)))","v":131.14491434289135},null,"geringer Genauigkeitsverlust",null,null,null,"Stundenwinkel-(Parallaxe*COS(BOGENMASS(Geogr. Breite))*SIN(BOGENMASS(Sternzeit - HA))/COS(BOGENMASS(Deklination)))"]
[]
[null,null,null,null,null,null,null,null,{"$f":"I196/15","v":8.7429942895260897}]
[]
[null,null,null,null,null,null,null,null,{"$f":"I198/24","v":"08:44:34.779"}]
[]
[null,null,null,null,null,null,null,"DEKL top",{"$f":"E113-(G161*SIN(RADIANS(Tabelle1!M6))*SIN(RADIANS(E113))/SIN(RADIANS(E113)))","v":18.503983948647161}]
[]
[null,null,"Diagramm Erde, Sonnenlicht und Mond"]
[]
[null,null,"Mond",{"$f":"E127/10^6","v":0.363438439515821},{"$f":"G72","v":127.81167978579441},{"$f":"D206*SIN(RADIANS(E206))","v":0.28712729014758126},{"$f":"D206*SIN(RADIANS(90-E206))","v":-0.22281251888123738},null,"D198*SIN(BOGENMASS(E198))",null,null,"D198*SIN(BOGENMASS(90-E198))"]
[null,null,null,null,null,{"$f":"D207*SIN(RADIANS(90-E207))","v":0},{"$f":"D207*SIN(RADIANS(E207))","v":0}]
[null,null,"Sonne",149.69999999999999,{"$f":"Tabelle3!E53","v":301.3329186786637},{"$f":"D208*SIN(RADIANS(E208))","v":-127.86778268270407},{"$f":"D208*SIN(RADIANS(90-E208))","v":77.845488962487437}]

{"sheet":"Tabelle5","index":4,"n_rows":108,"n_cols":33,"rows_kept":108,"cut":false,"hidden":false,"merged":[]}
[]
["Planeten"]
[]
[]
[null,"DATUM",{"$f":"Tabelle1!B10","v":"2019-01-21T16:15:48.450"}]
[]
[]
[]
[]
[]
[]
[null,null,null,null,"Merkur","Venus","Erde","Mars","Jupiter","Saturn","Uranus","Neptun"]
[]
[null,null,null,null,"Tabelle2:","Tabelle2:","Tabelle2:","Tabelle2:","Tabelle2","Tabelle2:","Tabelle2:","Tabelle2:"]
[null,"W",null,null,{"$f":"Tabelle2!N41","v":48.308045942789867},{"$f":"Tabelle2!N42","v":76.627921489150324},{"$f":"Tabelle2!N43","v":-12.225518379656302},{"$f":"Tabelle2!N44","v":49.524538147153919},{"$f":"Tabelle2!N45","v":100.62057862136334},{"$f":"Tabelle2!N46","v":113.63082073891064},{"$f":"Tabelle2!N47","v":74.140878230353749},{"$f":"Tabelle2!N48","v":131.71368386364992},null,"Länge des aufsteigenden Knotens (°)"]
[null,"i",null,null,{"$f":"Tabelle2!L41","v":7.003625542045687},{"$f":"Tabelle2!L42","v":3.3945586112399262},{"$f":"Tabelle2!L43","v":-2.434681257996067E-3},{"$f":"Tabelle2!L44","v":1.8492617931052162},{"$f":"Tabelle2!L45","v":1.3050803274984941},{"$f":"Tabelle2!L46","v":2.4847834214419757},{"$f":"Tabelle2!L47","v":0.76974936975225372},{"$f":"Tabelle2!L48","v":1.7689773233962696},null,"Bahnneigung (Inklination, °)"]
[null,"w",null,null,{"$f":"Tabelle2!J41-Tabelle2!N41","v":29.178764914243551},{"$f":"Tabelle2!J42-Tabelle2!N42","v":54.899299385990943},{"$f":"Tabelle2!J43-Tabelle2!N43","v":115.23613709413931},{"$f":"Tabelle2!J44-Tabelle2!N44","v":286.59891882800275},{"$f":"Tabelle2!J45-Tabelle2!N45","v":-85.822268495052541},{"$f":"Tabelle2!J46-Tabelle2!N46","v":-21.302041592274435},{"$f":"Tabelle2!J47-Tabelle2!N47","v":96.892839682556243},{"$f":"Tabelle2!J48-Tabelle2!N48","v":-86.787032189058721},null,"Argument des Perihels (Länge Perihel - Länge aufsteigender Knoten)"]
[null,"a",null,null,{"$f":"Tabelle2!C41","v":0.38709905576912373},{"$f":"Tabelle2!C42","v":0.72333216531453615},{"$f":"Tabelle2!C43","v":1.000000100472036},{"$f":"Tabelle2!C44","v":1.5236485497145056},{"$f":"Tabelle2!C45","v":5.203478749988931},{"$f":"Tabelle2!C46","v":9.5364957266077965},{"$f":"Tabelle2!C47","v":19.191553627743012},{"$f":"Tabelle2!C48","v":30.068724907405798},null,"Mittlerer Bahnradius (AU)"]
[null,"e",null,null,{"$f":"Tabelle2!H41","v":0.20563550543296555},{"$f":"Tabelle2!H42","v":6.7638201828318818E-3},{"$f":"Tabelle2!H43","v":1.6702971125049107E-2},{"$f":"Tabelle2!H44","v":9.3435010365316915E-2},{"$f":"Tabelle2!H45","v":4.8368115964940187E-2},{"$f":"Tabelle2!H46","v":5.4080546598069192E-2},{"$f":"Tabelle2!H47","v":4.7131217898183586E-2},{"$f":"Tabelle2!H48","v":8.5906530378882101E-3},null,"Exzentrizität"]
[null,"M",null,null,{"$f":"Tabelle2!C56","v":218.16902934171245},{"$f":"Tabelle2!C57","v":41.565218971800221},{"$f":"Tabelle2!C58","v":17.468158682117888},{"$f":"Tabelle2!C59","v":66.692878415554503},{"$f":"Tabelle2!C60","v":237.90469404036159},{"$f":"Tabelle2!C61","v":190.57706152471664},{"$f":"Tabelle2!C62","v":223.85034924891903},{"$f":"Tabelle2!C63","v":301.58259887191099},null,"Mittlere Anomalie"]
[]
[]
[null,"Perihel",null,null,{"$f":"E15+E17","v":77.486810857033419},131.52722087514127,103.010618714483,336.12345697515667,14.798310126310795,92.328779146636208,{"$f":"K15+K17","v":171.03371791290999},{"$f":"L15+L17","v":44.926651674591199}]
[]
[null,"E=",null,null,{"$f":"E20+(180/PI()*E19*SIN(RADIANS(E20))*(1+E19*COS(RADIANS(E20))))","v":212.06504712002891},{"$f":"F20+(180/PI()*F19*SIN(RADIANS(F20))*(1+F19*COS(RADIANS(F20))))","v":41.823641082771815},17.760006793831359,71.791213493561401,{"$f":"I20+(180/PI()*I19*SIN(RADIANS(I20))*(1+I19*COS(RADIANS(I20))))","v":235.61728930874284},190.03852839972564,{"$f":"K20+(180/PI()*K19*SIN(RADIANS(K20))*(1+K19*COS(RADIANS(K20))))","v":222.0431458429469},301.16140709216353,null,"Exzentrische Anomalie",null,"M+(180/PI()*e*SIN(BOGENMASS(M))*(1+e*COS(BOGENMASS(M))))",null,null,null,null,null,null,null,null,"Sonne","Merkur","Venus","Erde","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"E32","v":-0.40813384328531188},{"$f":"F32","v":0.53413526929207111},0.93563929282023772,0.33410832755418063,-3.1901586056679059,-9.9062836238747209,-15.157220608265895,15.300775286787236]
[null,null,"Iteration",null,{"$f":"E25-(E25-180/PI()*E19*SIN(RADIANS(E25))-E20)/(1-E19*SIN(RADIANS(E25)))","v":211.92900760329411},{"$f":"F25-(F25-180/PI()*F19*SIN(RADIANS(F25))-F20)/(1-F19*SIN(RADIANS(F25)))","v":41.823645066042829},17.760076325233523,71.776968118870286,235.617582116509,190.03696044679953,{"$f":"K25-(K25-180/PI()*K19*SIN(RADIANS(K25))-K20)/(1-K19*SIN(RADIANS(K25)))","v":222.04194294747342},{"$f":"L25-(L25-180/PI()*L19*SIN(RADIANS(L25))-L20)/(1-L19*SIN(RADIANS(L25)))","v":301.16140993016694},null,"E-(E-180/PI()*e*SIN(BOGENMASS(E))-M)/(1-e*SIN(BOGENMASS(E)))",null,null,null,null,null,null,null,null,null,null,0,{"$f":"E34","v":-0.20034910051122043},{"$f":"F34","v":0.48233583066077212},0.30498926483006789,1.4409010334189212,-4.2893362572422342,-1.6596208285315381,-12.837810495434324,-25.729248430464089]
[null,null,"Alternativ",null,{"$f":"Tabelle2!F56","v":211.93353411224999},{"$f":"Tabelle2!F57","v":41.823645078777268},{"$f":"Tabelle2!F58","v":17.760076107051805},{"$f":"Tabelle2!F59","v":71.779831374643408},{"$f":"Tabelle2!F60","v":235.6177096698901},{"$f":"Tabelle2!F61","v":190.03694898817787},{"$f":"Tabelle2!F62","v":222.04198187952554},{"$f":"Tabelle2!F63","v":301.16140983274943},null,"M+180/PI()*(((e-1/8*e^3)*SIN(BOGENMASS(M))+(1/2)*(e^2)*SIN(BOGENMASS(2*M)))+3/8*e^3*SIN(BOGENMASS(3*M)))"]
[]
[null,"Umwandlung ins ebene Koordinatensystem (X,Y)"]
[]
[null,"x",null,null,{"$f":"E18*(COS(RADIANS(E27))-E19)","v":-0.40813384328531188},{"$f":"F18*(COS(RADIANS(F27))-F19)","v":0.53413526929207111},0.93563929282023772,0.33410832755418063,-3.1901586056679059,-9.9062836238747209,{"$f":"K18*(COS(RADIANS(K27))-K19)","v":-15.157220608265895},15.300775286787236,null,"a * (cos(E) - e)"]
[]
[null,"y",null,null,{"$f":"E18*SQRT(1-E19^2)*SIN(RADIANS(E27))","v":-0.20034910051122043},0.48233583066077212,0.30498926483006789,1.4409010334189212,{"$f":"I18*SQRT(1-I19^2)*SIN(RADIANS(I27))","v":-4.2893362572422342},-1.6596208285315381,{"$f":"K18*SQRT(1-K19^2)*SIN(RADIANS(K27))","v":-12.837810495434324},-25.729248430464089,null,"a * WURZEL(1 - e^2) * sinE"]
[]
[null,"Entfernung (r) und Wahre Anomalie (v)"]
[]
[null,"r",null,null,{"$f":"SQRT(E32^2+E34^2)","v":0.4546570093053604},{"$f":"SQRT(F32^2+F34^2)","v":0.71968627848593192},0.98409315510816342,1.4791295286920501,5.3456073047886541,10.044341518046078,{"$f":"SQRT(K32^2+K34^2)","v":19.86330070467454},29.935062204266384,null,"WURZEL( x^2 + y^2 )"]
[null,null,null,"Alternativ",{"$f":"E18*(1-E19^2)/(1+E19*COS(RADIANS(E41)))","v":0.45466626576624164},{"$f":"F18*(1-F19^2)/(1+F19*COS(RADIANS(F41)))","v":0.71968627848746181},0.98409315488122673,1.4791457461454178,5.3456058896692893,10.04434184358553,19.863299675651358,29.935062205673766,null,"E18*(1-E19^2)/(1+E19*COS(BOGENMASS(E41)))",null,null,null,null,"a*(1-e^2)/(1+e*COS(BOGENMASS(T)))"]
[null,"v",null,null,{"$f":"IF(ATAN2(E32,E34)*180/PI()<0,360+ATAN2(E32,E34)*180/PI(),ATAN2(E32,E34)*180/PI())","v":206.14599128323584},42.08272662323958,18.054355143286653,76.94526790354432,{"$f":"IF(ATAN2(I32,I34)*180/PI()<0,360+ATAN2(I32,I34)*180/PI(),ATAN2(I32,I34)*180/PI())","v":233.36027689657618},189.5105628063541,{"$f":"IF(ATAN2(K32,K34)*180/PI()<0,360+ATAN2(K32,K34)*180/PI(),ATAN2(K32,K34)*180/PI())","v":220.26381709752727},300.73927689736132,null,"arctan2( y, x )"]
[null,null,null,"Alternativ",{"$f":"Tabelle2!H56","v":206.13549275550429},{"$f":"Tabelle2!H57","v":42.082726650242961},{"$f":"Tabelle2!H58","v":18.054352550349897},{"$f":"Tabelle2!H59","v":76.952315175958191},{"$f":"Tabelle2!H60","v":233.36065642561388},{"$f":"Tabelle2!H61","v":189.5103660738807},{"$f":"Tabelle2!H62","v":220.26391103539396},{"$f":"Tabelle2!H63","v":300.73927653093767},null,"M + 180/pi * [ (2 * e - e^3/4) * sin(M) + 5/4 * e^2 * sin(2*M)  + 13/12 * e^3 * sin(3*M) ]"]
[null,"Heliozentrisch Ekliptikale Position des Planeten"]
[]
[null,"x(Ekliptik P) =",null,null,{"$f":"E38*(COS(RADIANS(E15))*COS(RADIANS(E40+E17))-SIN(RADIANS(E15))*SIN(RADIANS(E40+E17))*COS(RADIANS(E16)))","v":0.10507866771425668},{"$f":"F38*(COS(RADIANS(F15))*COS(RADIANS(F40+F17))-SIN(RADIANS(F15))*SIN(RADIANS(F40+F17))*COS(RADIANS(F16)))","v":-0.71399567528268604},-0.50780169053478463,0.88878103403095654,{"$f":"I38*(COS(RADIANS(I15))*COS(RADIANS(I40+I17))-SIN(RADIANS(I15))*SIN(RADIANS(I40+I17))*COS(RADIANS(I16)))","v":-1.9880420095091962},2.0625469188554901,{"$f":"K38*(COS(RADIANS(K15))*COS(RADIANS(K40+K17))-SIN(RADIANS(K15))*SIN(RADIANS(K40+K17))*COS(RADIANS(K16)))","v":16.97164410607478},28.997196391792606,null,"r*(COS(W)*COS(v+w)-SIN(W)*SIN(v+w))*COS(i))"]
[null,null,null,"Alternativ",{"$f":"E39*(COS(RADIANS(E15))*COS(RADIANS(E41+E17))-SIN(RADIANS(E15))*SIN(RADIANS(E41+E17))*COS(RADIANS(E16)))","v":0.1050001062601803},{"$f":"F39*(COS(RADIANS(F15))*COS(RADIANS(F41+F17))-SIN(RADIANS(F15))*SIN(RADIANS(F41+F17))*COS(RADIANS(F16)))","v":-0.71399567532202446},-0.5078016522694172,0.88864541532726149,{"$f":"I39*(COS(RADIANS(I15))*COS(RADIANS(I41+I17))-SIN(RADIANS(I15))*SIN(RADIANS(I41+I17))*COS(RADIANS(I16)))","v":-1.9880086231280591},2.0625132599083522,16.971626311246148,28.997196345815684]
[null,"Y(Ekliptik P) =",null,null,{"$f":"E38*(SIN(RADIANS(E15))*COS(RADIANS(E40+E17))+COS(RADIANS(E15))*SIN(RADIANS(E40+E17))*COS(RADIANS(E16)))","v":-0.43999195773372823},{"$f":"F38*(SIN(RADIANS(F15))*COS(RADIANS(F40+F17))+COS(RADIANS(F15))*SIN(RADIANS(F40+F17))*COS(RADIANS(F16)))","v":7.980862021195477E-2},0.84295716385488328,1.1823213309529155,{"$f":"I38*(SIN(RADIANS(I15))*COS(RADIANS(I40+I17))+COS(RADIANS(I15))*SIN(RADIANS(I40+I17))*COS(RADIANS(I16)))","v":-4.9617472679240961},-9.8298920666080924,{"$f":"K38*(SIN(RADIANS(K15))*COS(RADIANS(K40+K17))+COS(RADIANS(K15))*SIN(RADIANS(K40+K17))*COS(RADIANS(K16)))","v":10.318967240575402},{"$f":"L38*(SIN(RADIANS(L15))*COS(RADIANS(L40+L17))+COS(RADIANS(L15))*SIN(RADIANS(L40+L17))*COS(RADIANS(L16)))","v":-7.4164809443255946},null," r*(SIN(W)*COS(v+w)+COS(W)*SIN(v+w))*COS(i))"]
[null,null,null,"Alternativ",{"$f":"E39*(SIN(RADIANS(E15))*COS(RADIANS(E41+E17))+COS(RADIANS(E15))*SIN(RADIANS(E41+E17))*COS(RADIANS(E16)))","v":-0.44002077957166691},{"$f":"F39*(SIN(RADIANS(F15))*COS(RADIANS(F41+F17))+COS(RADIANS(F15))*SIN(RADIANS(F41+F17))*COS(RADIANS(F16)))","v":7.9808619875061798E-2},0.84295718664120201,1.1824435389406609,{"$f":"I39*(SIN(RADIANS(I15))*COS(RADIANS(I41+I17))+COS(RADIANS(I15))*SIN(RADIANS(I41+I17))*COS(RADIANS(I16)))","v":-4.9617591294366399},-9.8298994483665041,10.318994532752903,-7.4164811301076927]
[null,"Z(Ekliptik P) =",null,null,{"$f":"E38*SIN(RADIANS(E40+E17))*SIN(RADIANS(E16))","v":-4.5591082807194247E-2},{"$f":"F38*SIN(RADIANS(F40+F17))*SIN(RADIANS(F16))","v":4.2297745311251987E-2},-3.0438229534625213E-5,2.9506896407459123E-3,{"$f":"I38*SIN(RADIANS(I40+I17))*SIN(RADIANS(I16))","v":6.5348869035599375E-2},8.8987063662100005E-2,{"$f":"K38*SIN(RADIANS(K40+K17))*SIN(RADIANS(K16))","v":-0.18145608006614183},-0.51610172598329929,null,"r*SIN(v+w)*SIN(i))",null,null,null,null,null,null,null,null,null,null,"Sonne","Merkur","Venus","Erde","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,null,null,"Alternativ",{"$f":"E39*SIN(RADIANS(E41+E17))*SIN(RADIANS(E16))","v":-4.5586230994809018E-2},{"$f":"F39*SIN(RADIANS(F41+F17))*SIN(RADIANS(F16))","v":4.2297745308900556E-2},-3.043823082525605E-5,2.9565817102061185E-3,{"$f":"I39*SIN(RADIANS(I41+I17))*SIN(RADIANS(I16))","v":6.5348171264670823E-2},8.8988530211784642E-2,-0.18145574987994023,-0.51610172110537733,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"E44","v":0.10507866771425668},-0.71399567528268604,-0.50780169053478463,0.88878103403095654,-1.9880420095091962,2.0625469188554901,16.97164410607478,28.997196391792606]
[null,null,null,null,"Merkur","Venus","Erde","Mars","Jupiter","Saturn","Uranus","Neptun",null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"E46","v":-0.43999195773372823},7.980862021195477E-2,0.84295716385488328,1.1823213309529155,-4.9617472679240961,-9.8298920666080924,10.318967240575402,-7.4164809443255946]
[null,"LÄNGE",null,null,{"$f":"IF(ATAN2(E44,E46)*180/PI()<0,360+ATAN2(E44,E46)*180/PI(),ATAN2(E44,E46)*180/PI())","v":283.43176327880542},{"$f":"IF(ATAN2(F44,F46)*180/PI()<0,360+ATAN2(F44,F46)*180/PI(),ATAN2(F44,F46)*180/PI())","v":173.62209785949443},121.06497388358797,53.066883713000358,248.16531852677812,281.85011866855723,{"$f":"IF(ATAN2(K44,K46)*180/PI()<0,360+ATAN2(K44,K46)*180/PI(),ATAN2(K44,K46)*180/PI())","v":31.300113087209908},345.65327641334738,null,"arctan2(y;x)","WENN(ARCTAN2(E44;E46)*180/PI()<0;360+ARCTAN2(E44;E46)*180/PI();ARCTAN2(E44;E46)*180/PI())"]
[null,null,null,null,{"$f":"ATAN2(E44,E46)*180/PI()-INT((ATAN2(E44,E46)*180/PI())/360)*360","v":283.43176327880542},{"$f":"ATAN2(F44,F46)*180/PI()-INT((ATAN2(F44,F46)*180/PI())/360)*360","v":173.62209785949443},{"$f":"ATAN2(G44,G46)*180/PI()-INT((ATAN2(G44,G46)*180/PI())/360)*360","v":121.06497388358797},53.066883713000358,248.16531852677812,281.85011866855723,31.300113087209908,345.65327641334738,null,"alternativ","ARCTAN2(E44;E46)*180/PI()-GANZZAHL((ARCTAN2(E44;E46)*180/PI())/360)*360"]
[]
[null,null,null,null,{"$f":"ATAN2(E48,SQRT(E44^2+E46^2))*180/PI()","v":95.755050896546607},{"$f":"ATAN2(F48,SQRT(F44^2+F46^2))*180/PI()","v":86.630643468834819},90.001772171749607,89.885701575203214,89.299554298765557,89.492385850309731,90.523418152890329,90.987868861699269,null,"arctan2(z;WURZEL(x^2+y^2)"]
[null,null,null,null,{"$f":"ATAN2(E48,SQRT(E44^2+E46^2))*180/PI()-INT(ATAN2(E48,SQRT(E44^2+E46^2))*180/PI()/360)*360","v":95.755050896546607},{"$f":"ATAN2(F48,SQRT(F44^2+F46^2))*180/PI()-INT(ATAN2(F48,SQRT(F44^2+F46^2))*180/PI()/360)*360","v":86.630643468834819},90.001772171749607,89.885701575203214,89.299554298765557,89.492385850309731,90.523418152890329,90.987868861699269,null,"alternativ","ARCTAN2(E48;WURZEL(E44^2+E46^2))*180/PI()-GANZZAHL(ARCTAN2(E48;WURZEL(E44^2+E46^2))*180/PI()/360)*360"]
[null,null,null,null,{"$f":"IF(ATAN2(E48,SQRT(E44^2+E46^2))*180/PI()<0,360+ATAN2(E48,SQRT(E44^2+E46^2))*180/PI(),ATAN2(E48,SQRT(E44^2+E46^2))*180/PI())","v":95.755050896546607},{"$f":"IF(ATAN2(F48,SQRT(F44^2+F46^2))*180/PI()<0,360+ATAN2(F48,SQRT(F44^2+F46^2))*180/PI(),ATAN2(F48,SQRT(F44^2+F46^2))*180/PI())","v":86.630643468834819},{"$f":"IF(ATAN2(G48,SQRT(G44^2+G46^2))*180/PI()<0,360+ATAN2(G48,SQRT(G44^2+G46^2))*180/PI(),ATAN2(G48,SQRT(G44^2+G46^2))*180/PI())","v":90.001772171749607},{"$f":"IF(ATAN2(H48,SQRT(H44^2+H46^2))*180/PI()<0,360+ATAN2(H48,SQRT(H44^2+H46^2))*180/PI(),ATAN2(H48,SQRT(H44^2+H46^2))*180/PI())","v":89.885701575203214},89.299554298765557,{"$f":"IF(ATAN2(J48,SQRT(J44^2+J46^2))*180/PI()<0,360+ATAN2(J48,SQRT(J44^2+J46^2))*180/PI(),ATAN2(J48,SQRT(J44^2+J46^2))*180/PI())","v":89.492385850309731},90.523418152890329,90.987868861699269,null,null,"WENN(ARCTAN2(E48;WURZEL(E44^2+E46^2))*180/PI()<0;360+ARCTAN2(E48;WURZEL(E44^2+E46^2))*180/PI();ARCTAN2(E48;WURZEL(E44^2+E46^2))*180/PI())"]
[null,"LAT",null,null,{"$f":"IF(E56>E16,90-E56,E56)","v":-5.7550508965466065},{"$f":"IF(F56>F16,90-F56,F56)","v":3.369356531165181},-1.7721717496073097E-3,0.11429842479678598,0.70044570123444316,0.5076141496902693,-0.52341815289032922,{"$f":"IF(L56>L16,90-L56,L56)","v":-0.98786886169926902},null,null,"WENN LAT>i; 90-LAT"]
[]
[]
[null,"Distanz Sonne-Planet",null,null,{"$f":"SQRT(E44^2+E46^2+E48^2)","v":0.45465700930536035},{"$f":"SQRT(F44^2+F46^2+F48^2)","v":0.71968627848593203},0.9840931551081632,1.4791295286920501,5.345607304788655,10.044341518046078,{"$f":"SQRT(K44^2+K46^2+K48^2)","v":19.86330070467454},29.935062204266384,null,"WURZEL(x^2+y^2+z^2)"]
[null,null,null,null,{"$f":"Tabelle2!J56","v":0.45465700930536035},{"$f":"Tabelle2!J57","v":0.71968627848593203},{"$f":"Tabelle2!J58","v":0.9840931551081632},{"$f":"Tabelle2!J59","v":1.4791295286920501},{"$f":"Tabelle2!J60","v":5.345607304788655},{"$f":"Tabelle2!J61","v":10.044341518046078},{"$f":"Tabelle2!J62","v":19.86330070467454},{"$f":"Tabelle2!J63","v":29.935062204266384},null,"a*(1-e^2)/(1+e*COS(M))"]
[null,"Geozentrische Position der Planeten"]
[null,"Ekliptikale Position"]
[null,"Sonne"]
[null,null,"x(Ekliptik S) =",null,{"$f":"Tabelle3!$E$56","v":0.51173963095330666},{"$f":"Tabelle3!$E$56","v":0.51173963095330666},{"$f":"Tabelle3!$E$56","v":0.51173963095330666},{"$f":"Tabelle3!$E$56","v":0.51173963095330666},{"$f":"Tabelle3!$E$56","v":0.51173963095330666},{"$f":"Tabelle3!$E$56","v":0.51173963095330666},{"$f":"Tabelle3!$E$56","v":0.51173963095330666},{"$f":"Tabelle3!$E$56","v":0.51173963095330666},null,"Übername aus Tabelle 3"]
[]
[null,null,"Y(Ekliptik S) =",null,{"$f":"Tabelle3!$E$58","v":-0.84057551430368294},{"$f":"Tabelle3!$E$58","v":-0.84057551430368294},{"$f":"Tabelle3!$E$58","v":-0.84057551430368294},{"$f":"Tabelle3!$E$58","v":-0.84057551430368294},{"$f":"Tabelle3!$E$58","v":-0.84057551430368294},{"$f":"Tabelle3!$E$58","v":-0.84057551430368294},{"$f":"Tabelle3!$E$58","v":-0.84057551430368294},{"$f":"Tabelle3!$E$58","v":-0.84057551430368294},null,"Übername aus Tabelle 3"]
[]
[null,null,"Z(Ekliptik S) =",null,{"$f":"Tabelle3!$E$60","v":0},{"$f":"Tabelle3!$E$60","v":0},{"$f":"Tabelle3!$E$60","v":0},{"$f":"Tabelle3!$E$60","v":0},{"$f":"Tabelle3!$E$60","v":0},{"$f":"Tabelle3!$E$60","v":0},{"$f":"Tabelle3!$E$60","v":0},{"$f":"Tabelle3!$E$60","v":0},null,"Übername aus Tabelle 3"]
[]
[null,null,"r (AE)",null,{"$f":"SQRT(E65^2+E67^2+E69^2)","v":0.98409585159938939},{"$f":"SQRT(F65^2+F67^2+F69^2)","v":0.98409585159938939},0.98409585159938939,0.98409585159938939,0.98409585159938939,0.98409585159938939,0.98409585159938939,0.98409585159938939]
[]
[null,"Addition Koordinaten Sonne + Planet"]
[null,null,null,null,"Merkur","Venus","Erde","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,null,"x(Ekliptik S+P) =",null,{"$f":"E65+E44","v":0.61681829866756333},-0.20225604432937938,3.9379404185220235E-3,1.4005206649842632,-1.4763023785558895,2.5742865498087966,17.483383737028088,29.508936022745914,null,"x(Ekliptik S) + x(Ekliptik P) "]
[]
[null,null,"Y(Ekliptik S+P) =",null,{"$f":"E67+E46","v":-1.2805674720374112},-0.76076689409172815,2.3816495512003488E-3,0.34174581664923254,-5.8023227822277788,-10.670467580911776,9.4783917262717186,-8.2570564586292772,null,"Y(Ekliptik S) + Y(Ekliptik P) "]
[]
[null,null,"Z(Ekliptik S*P) =",null,{"$f":"E69+E48","v":-4.5591082807194247E-2},4.2297745311251987E-2,-3.0438229534625213E-5,2.9506896407459123E-3,6.5348869035599375E-2,8.8987063662100005E-2,-0.18145608006614183,-0.51610172598329929,null,"Z(Ekliptik S) + Z(Ekliptik P) "]
[]
[null,null,null,null,"Merkur","Venus","Erde","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,null,"r (AE)",null,{"$f":"SQRT(E75^2+E77^2+E79^2)","v":1.4221098448583238},{"$f":"SQRT(F75^2+F77^2+F79^2)","v":0.78832916594031843},{"$f":"SQRT(G75^2+G77^2+G79^2)","v":4.6022337848461627E-3},1.4416161218627412,5.987544476392098,10.976964440742027,19.888226238702821,{"$f":"SQRT(L75^2+L77^2+L79^2)","v":30.646739590812359},null,"WURZEL(x^2+y^2+z^2)"]
[]
[null,null,"Länge l(Ekliptik)",null,{"$f":"ATAN2(E75,E77)*180/PI()","v":-64.281010863016434},{"$f":"ATAN2(F75,F77)*180/PI()","v":-104.88815693602712},{"$f":"ATAN2(G75,G77)*180/PI()","v":31.165369650513622},13.712961764974144,-104.27504434485977,-76.436382930309364,{"$f":"ATAN2(K75,K77)*180/PI()","v":28.46376594849297},-15.632441223314528,null,"ARCTAN2(x;y)*180/PI()"]
[null,null,null,null,{"$f":"IF(E84<0,360+E84,E84)","v":295.71898913698357},{"$f":"IF(F84<0,360+F84,F84)","v":255.11184306397288},{"$f":"IF(G84<0,360+G84,G84)","v":31.165369650513622},13.712961764974144,255.72495565514023,283.56361706969062,28.46376594849297,344.36755877668548,null,"WENN l<0; 360 - l)"]
[]
[null,null,"Breite b(Ekliptik)",null,{"$f":"ATAN2(E79,SQRT(E75^2+E77^2))*180/PI()","v":91.837146613613157},{"$f":"ATAN2(F79,SQRT(F75^2+F77^2))*180/PI()","v":86.924322084537522},{"$f":"ATAN2(G79,SQRT(G75^2+G77^2))*180/PI()","v":90.378945287062464},89.882727323489448,89.374653709121688,89.535514663121305,90.522762144703094,{"$f":"ATAN2(L79,SQRT(L75^2+L77^2))*180/PI()","v":90.964926414840406},null,"arctan2(z;WURZEL(x^2+y^2)"]
[null,null,null,null,{"$f":"IF(E87>E16,90-E87,E87)","v":-1.8371466136131573},3.075677915462478,-0.37894528706246433,0.11727267651055229,0.62534629087831206,0.46448533687869542,-0.52276214470309412,-0.96492641484040576,null,"WENN b>i; 90 - b)"]
[]
[]
[null,"Drehen des Systems",null,null,"Merkur","Venus","Erde","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,null,"e Schiefe der Ekliptik",null,23.4406,23.4406,23.4406,23.4406,23.4406,23.4406,23.4406,23.4406]
[]
[null,null,"x(Äquator P) =",null,{"$f":"E75","v":0.61681829866756333},{"$f":"F75","v":-0.20225604432937938},{"$f":"G75","v":3.9379404185220235E-3},1.4005206649842632,-1.4763023785558895,2.5742865498087966,17.483383737028088,29.508936022745914,null,"x(Äquator P) = x(Ekliptik S+P) "]
[]
[null,null,"y(Äquator P) =",null,{"$f":"E77*COS(RADIANS(E92))-E79*SIN(RADIANS(E92))","v":-1.156750001245459},{"$f":"F77*COS(RADIANS(F92))-F79*SIN(RADIANS(F92))","v":-0.71480902884390296},{"$f":"G77*COS(RADIANS(G92))-G79*SIN(RADIANS(G92))","v":2.1972073691068805E-3},0.31236877226312082,-5.3494700009299638,-9.8252645206043621,8.7683511404490453,{"$f":"L77*COS(RADIANS(L92))-L79*SIN(RADIANS(L92))","v":-7.3703218586952008},null,"y(Ekliptik SP)*COS(e) - z(Ekliptik SP)*SIN(e)"]
[]
[null,null,"z(Äquator P) =",null,{"$f":"E77*SIN(RADIANS(E92))+E79*COS(RADIANS(E92))","v":-0.55123591309932685},{"$f":"F77*SIN(RADIANS(F92))+F79*COS(RADIANS(F92))","v":-0.26382459833689992},9.1948944947315564E-4,0.13865301973429006,-2.2481972451264407,-4.1630486656945935,3.6040053140131549,{"$f":"L77*SIN(RADIANS(L92))+L79*COS(RADIANS(L92))","v":-3.7581508819889229},null,"y(Ekliptik SP)*SIN(e) - z(Ekliptik SP)*COS(e)"]
[]
[null,"Geozentrische Koordinaten"]
[null,null,null,null,"Merkur","Venus","Erde","Mars","Jupiter","Saturn","Uranus","Neptun"]
[null,null,"r (Erde-Planet)",null,{"$f":"SQRT(E94^2+E96^2+E98^2)","v":1.4221098448583236},{"$f":"SQRT(F94^2+F96^2+F98^2)","v":0.78832916594031843},4.6022337848461627E-3,1.441616121862741,5.9875444763920971,10.976964440742025,19.888226238702821,30.646739590812359,null,"WURZEL(x^2+y^2+z^2)"]
[]
[null,null,"Rektaszension",null,{"$f":"IF(ATAN2(E94,E96)*180/PI()<0,360+ATAN2(E94,E96)*180/PI(),ATAN2(E94,E96)*180/PI())","v":298.06805067602346},{"$f":"IF(ATAN2(F94,F96)*180/PI()<0,360+ATAN2(F94,F96)*180/PI(),ATAN2(F94,F96)*180/PI())","v":254.20107776262466},29.159704424747186,12.573319410856241,254.57200117822646,284.68186643589684,26.634901816949039,{"$f":"IF(ATAN2(L94,L96)*180/PI()<0,360+ATAN2(L94,L96)*180/PI(),ATAN2(L94,L96)*180/PI())","v":345.9763886752018},null,"ARCTAN2(x;y)*180/PI()",null,"WENN RA<0;360-RA"]
[null,null,null,null,{"$f":"E104/15","v":19.871203378401564},{"$f":"F104/15","v":16.946738517508312},1.9439802949831457,0.83822129405708279,16.971466745215096,18.978791095726457,1.7756601211299359,23.065092578346786,null,"Winkel → Zeit"]
[null,null,null,null,{"$f":"E104/15/24","v":"19:52:16.332"},"16:56:48.259","01:56:38.329","00:50:17.597","16:58:17.280","18:58:43.648","01:46:32.376","23:03:54.333"]
[]
[null,null,"Deklination",null,{"$f":"90-ATAN2(E98,SQRT(E94^2+E96^2))*180/PI()","v":-22.806388939935687},-19.552046046741367,11.52479548147133,5.5191752162511989,-22.053921387799448,-22.287430553100322,10.440422098964106,-7.0438010246461573,null,"arctan2(z;WURZEL(x^2+y^2)"]

{"sheet":"Tabelle6","index":5,"n_rows":143,"n_cols":21,"rows_kept":143,"cut":false,"hidden":false,"merged":[]}
[]
["DATUM",{"$f":"Tabelle1!B10","v":"2019-01-21T16:15:48.450"},null,null,null,null,"Geographische Länge",null,null,{"$f":"Tabelle1!K6","v":9.73}]
[]
["UHRZEIT",{"$f":"Tabelle1!D10*24","v":16.263458325352985},"UTC",{"$f":"B4","v":16.263458325352985},null,null,"Geographische Breite",null,null,{"$f":"Tabelle1!M6","v":52.38}]
[]
[]
["Julianisches Datum / Anzahl Tage bzw. Jahrhunderte nach Epoche J2000"]
[]
["Julianisches Datum: Anzahl der Tage seit dem 01. Januar -4723, 00:00 UT"]
[]
[]
[]
["T: Anzahl der dem 01.01.2000 vergangenen Jahrhunderte seit "]
[]
[]
[]
[]
[null,"Julianisches Datum (JD)",null,null,{"$f":"2451544.5+B2-DATE(2000,1,1)","v":2458505.1776440968}]
[]
[null,"Differenz zu J2000",null,null,{"$f":"B2-DATE(2000,1,1)","v":6960.6776440968897},"Tage"]
[]
[null,"T (Jahrhunderte)",null,null,{"$f":"(E18-2451545)/36525","v":0.19055927841469625}]
[]
[]
[]
["Rektaszension und Deklination",null,null,null,"Sonne",null,"Mond",null,"Merkur","Venus","Mars","Jupiter","Saturn","Uranus","Neptun"]
[]
[null,"Schiefe der Ekliptik",null,null,{"$f":"23.439-0.0000004*E20","v":23.436215728942361},null,null,null,null,null,null,null,null,null,null,null,"23,439-0,0000004*E20"]
[]
[null,null,"Rektaszensionswinkel",null,{"$f":"Tabelle3!E77","v":303.56659012155609},null,{"$f":"Tabelle4!G186","v":131.1462680802787},"*",{"$f":"Tabelle5!E104","v":298.06805067602346},{"$f":"Tabelle5!F104","v":254.20107776262466},{"$f":"Tabelle5!H104","v":12.573319410856241},{"$f":"Tabelle5!I104","v":254.57200117822646},{"$f":"Tabelle5!J104","v":284.68186643589684},{"$f":"Tabelle5!K104","v":26.634901816949039},{"$f":"Tabelle5!L104","v":345.9763886752018},null,"Tabelle3!E77",null,"*) Mond: Topozentrische Rektaszension und Deklination, Tabelle 4 "]
[null,null,"RA (geozentrisch)",null,{"$f":"E30/15/24","v":"20:14:15.982"},null,{"$f":"G30/15/24","v":"08:44:35.104"},"*",{"$f":"I30/15/24","v":"19:52:16.332"},{"$f":"J30/15/24","v":"16:56:48.259"},{"$f":"K30/15/24","v":"00:50:17.597"},"16:58:17.280","18:58:43.648","01:46:32.376","23:03:54.333"]
[null,null,"Deklination",null,{"$f":"Tabelle3!E81","v":-19.863673282896972},null,{"$f":"Tabelle4!G192","v":18.524568192703509},"*",{"$f":"Tabelle5!E108","v":-22.806388939935687},{"$f":"Tabelle5!F108","v":-19.552046046741367},{"$f":"Tabelle5!H108","v":5.5191752162511989},{"$f":"Tabelle5!I108","v":-22.053921387799448},{"$f":"Tabelle5!J108","v":-22.287430553100322},{"$f":"Tabelle5!K108","v":10.440422098964106},{"$f":"Tabelle5!L108","v":-7.0438010246461573},null,"Tabelle3!E81",null,"*) Mond: Topozentrische Rektaszension und Deklination, Tabelle 4 "]
[]
[null,null,"Kulminationshöhe",null,{"$f":"90-$J4+E32","v":17.756326717103025},null,{"$f":"90-$J4+G32","v":56.144568192703503},null,{"$f":"90-$J4+I32","v":14.813611060064311},18.06795395325863,43.139175216251196,15.566078612200549,15.332569446899676,48.060422098964104,30.57619897535384,null,"90-$J4+E32"]
[]
["Sternzeit und Stundenwinkel"]
[]
[null,"JD0",null,null,{"$f":"INT(2451545+$B$2-DATE(2000,1,1))","v":2458505},null,{"$f":"INT(2451545+$B$2-DATE(2000,1,1))","v":2458505},null,2458505,2458505,2458505,2458505,2458505,2458505,2458505,null,"GANZZAHL(2451545+$B$2-DATUM(2000;1;1))"]
[]
[null,"T0",null,null,{"$f":"($E38-2451545.5)/36525","v":0.19054072553045859},null,{"$f":"($E38-2451545.5)/36525","v":0.19054072553045859},null,{"$f":"($E38-2451545.5)/36525","v":0.19054072553045859},0.19054072553045859,0.19054072553045859,0.19054072553045859,0.19054072553045859,0.19054072553045859,0.19054072553045859,null,"($E38-2451545,5)/36525"]
[]
[null,"Sternzeit","J2000.0",null,{"$f":"6.697376+2400.05134*$E40+1.002738*$D4","v":480.31288730819716},null,{"$f":"6.697376+2400.05134*$E40+1.002738*$D4","v":480.31288730819716},null,{"$f":"6.697376+2400.05134*$E40+1.002738*$D4","v":480.31288730819716},480.31288730819716,480.31288730819716,480.31288730819716,480.31288730819716,480.31288730819716,480.31288730819716,null,"6,697376+2400,05134*$E40+1,002738*$D4"]
[]
[null,"abzüglich ganzzahlige Vielfache von 24",null,null,{"$f":"$E42-INT($E42/24)*24","v":0.31288730819716193},null,{"$f":"$E42-INT($E42/24)*24","v":0.31288730819716193},null,{"$f":"$E42-INT($E42/24)*24","v":0.31288730819716193},{"$f":"$E42-INT($E42/24)*24","v":0.31288730819716193},0.31288730819716193,0.31288730819716193,0.31288730819716193,0.31288730819716193,0.31288730819716193,null,"$E42-GANZZAHL($F42/24)*24"]
[]
[null,"Sternzeit Greenwich",null,null,{"$f":"$E$44/24","v":"00:18:46.394"},null,{"$f":"$E$44/24","v":"00:18:46.394"},null,"00:18:46.394","00:18:46.394","00:18:46.394","00:18:46.394","00:18:46.394","00:18:46.394","00:18:46.394",null,"$E$44/24"]
[]
[null,"Greenwich-Stundenwinkel ",null,null,{"$f":"$E$44*15","v":4.6933096229574289},null,{"$f":"$E$44*15","v":4.6933096229574289},null,4.6933096229574289,4.6933096229574289,4.6933096229574289,4.6933096229574289,4.6933096229574289,4.6933096229574289,4.6933096229574289,null,"$E$44*15"]
[]
[null,"Stundenwinkel zum Frühlingspunkt",null,null,{"$f":"$E48+$J2","v":14.423309622957429},null,{"$f":"$E48+$J2","v":14.423309622957429},null,{"$f":"$E48+$J2","v":14.423309622957429},14.423309622957429,14.423309622957429,14.423309622957429,14.423309622957429,14.423309622957429,14.423309622957429,null,"$E48+$J2"]
[]
[null,null,null,null,{"$f":"$E$50/15","v":0.96155397486382865},null,{"$f":"$E$50/15","v":0.96155397486382865},null,{"$f":"$E$50/15","v":0.96155397486382865},0.96155397486382865,0.96155397486382865,0.96155397486382865,0.96155397486382865,0.96155397486382865,0.96155397486382865,null,"$E$50/15"]
[]
[null,"Lokale Sternzeit",null,null,{"$f":"$E$52/24","v":"00:57:41.594"},null,{"$f":"$E$52/24","v":"00:57:41.594"},null,{"$f":"$E$52/24","v":"00:57:41.594"},"00:57:41.594","00:57:41.594","00:57:41.594","00:57:41.594","00:57:41.594","00:57:41.594",null,"$E$52/24"]
[]
[null,"Stundenwinkel Himmelskörper (tau)",null,null,{"$f":"E50-E30","v":-289.14328049859864},null,{"$f":"G50-G30","v":-116.72295845732127},null,{"$f":"I50-I30","v":-283.64474105306601},-239.77776813966724,1.8499902121011882,-240.14869155526904,-270.25855681293939,-12.21159219399161,-331.55307905224436,null,"E50-E30"]
[]
["Azimut und Höhe"]
[]
[null,"AZIMUT",null,"Nenner",{"$f":"COS(RADIANS(E56))*SIN(RADIANS($J$4))-TAN(RADIANS(E32))*COS(RADIANS($J$4))","v":0.48027888902234434},null,{"$f":"COS(RADIANS(G56))*SIN(RADIANS($J$4))-TAN(RADIANS(G32))*COS(RADIANS($J$4))","v":-0.56071391714791574},null,{"$f":"COS(RADIANS(I56))*SIN(RADIANS($J$4))-TAN(RADIANS(I32))*COS(RADIANS($J$4))","v":0.44352943359151109},-0.18191005049906409,0.73268064920760245,-0.14696193382814005,0.25377012158937279,0.66167583036175592,0.77186440451000982,null,"COS(BOGENMASS(E53))*SIN(BOGENMASS($J$4))-TAN(BOGENMASS(E32))*COS(BOGENMASS($J$4))"]
[]
[null,"QUADRANT!",null,"ZW",{"$f":"ATAN(SIN(RADIANS(E56))/(COS(RADIANS(E56))*SIN(RADIANS($J$4))-TAN(RADIANS(E32))*COS(RADIANS($J$4))))*180/PI()","v":63.051569851674877},null,{"$f":"ATAN(SIN(RADIANS(G56))/(COS(RADIANS(G56))*SIN(RADIANS($J$4))-TAN(RADIANS(G32))*COS(RADIANS($J$4))))*180/PI()","v":57.880850247425947},null,{"$f":"ATAN(SIN(RADIANS(I56))/(COS(RADIANS(I56))*SIN(RADIANS($J$4))-TAN(RADIANS(I32))*COS(RADIANS($J$4))))*180/PI()","v":65.467537874899861},-78.11143306667833,2.5228906987923341,-80.382935061821698,75.760493018216295,-17.727882585643282,31.680181056776682,null,"ARCTAN(SIN(BOGENMASS(E53))/(COS(BOGENMASS(E53))*SIN(BOGENMASS($J$4))-TAN(BOGENMASS(E32))*COS(BOGENMASS($J$4))))*180/PI()"]
[null,null,null,"ZW",{"$f":"IF(E60<0,E62+360,E62+180)","v":243.05156985167488},null,{"$f":"IF(G60<0,G62+360,G62+180)","v":417.88085024742594},null,{"$f":"IF(I60<0,I62+360,I62+180)","v":245.46753787489985},{"$f":"IF(J60<0,J62+360,J62+180)","v":281.88856693332167},{"$f":"IF(K60<0,K62+360,K62+180)","v":182.52289069879234},{"$f":"IF(L60<0,L62+360,L62+180)","v":279.61706493817832},{"$f":"IF(M60<0,M62+360,M62+180)","v":255.76049301821629},{"$f":"IF(N60<0,N62+360,N62+180)","v":162.27211741435673},{"$f":"IF(O60<0,O62+360,O62+180)","v":211.68018105677669},null,"WENN(E57<0;E59+360;E59+180)"]
[null,null,null,"ZW",{"$f":"360+E63","v":603.05156985167491},null,{"$f":"360+G63","v":777.880850247426},null,{"$f":"360+I63","v":605.46753787489979},{"$f":"360+J63","v":641.88856693332173},{"$f":"360+K63","v":542.52289069879237},{"$f":"360+L63","v":639.61706493817837},{"$f":"360+M63","v":615.76049301821627},{"$f":"360+N63","v":522.27211741435667},{"$f":"360+O63","v":571.68018105677675},null,"360+E60"]
[]
[null,null,null,null,"Sonne",null,"Mond",null,"Merkur","Venus","Mars","Jupiter","Saturn","Uranus","Neptun"]
[]
[null,null,null,"AZIMUT",{"$f":"E64-INT(E64/360)*360","v":243.05156985167491},null,{"$f":"G64-INT(G64/360)*360","v":57.880850247425997},null,{"$f":"I64-INT(I64/360)*360","v":245.46753787489979},{"$f":"J64-INT(J64/360)*360","v":281.88856693332173},{"$f":"K64-INT(K64/360)*360","v":182.52289069879237},{"$f":"L64-INT(L64/360)*360","v":279.61706493817837},{"$f":"M64-INT(M64/360)*360","v":255.76049301821627},{"$f":"N64-INT(N64/360)*360","v":162.27211741435667},{"$f":"O64-INT(O64/360)*360","v":211.68018105677675},null,"E61-GANZZAHL(E61/360)*360"]
[]
[null,null,null,"HÖHE",{"$f":"ASIN(COS(RADIANS(E32))*COS(RADIANS(E56))*COS(RADIANS($J$4))+SIN(RADIANS(E32))*SIN(RADIANS($J$4)))*180/PI()","v":-4.6384378075705692},null,{"$f":"ASIN(COS(RADIANS(G32))*COS(RADIANS(G56))*COS(RADIANS($J$4))+SIN(RADIANS(G32))*SIN(RADIANS($J$4)))*180/PI()","v":-0.49382407251030253},null,{"$f":"ASIN(COS(RADIANS(I32))*COS(RADIANS(I56))*COS(RADIANS($J$4))+SIN(RADIANS(I32))*SIN(RADIANS($J$4)))*180/PI()","v":-10.03688992450012},-33.68457953787113,43.114313516518202,-35.381257965869999,-17.32843937112176,46.908764386438705,25.819469752576115,null,"ARCSIN(COS(BOGENMASS(E32))*COS(BOGENMASS(E53))*COS(BOGENMASS($J$4))+SIN(BOGENMASS(E32))*SIN(BOGENMASS($J$4)))*180/PI()"]
[]
[]
[null,null,"Diagramm"]
[]
[null,null,"Azimut","Höhe"]
[null,"Sonne",{"$f":"E68","v":243.05156985167491},{"$f":"E70","v":-4.6384378075705692}]
[null,"Mond",{"$f":"G68","v":57.880850247425997},{"$f":"G70","v":-0.49382407251030253}]
[null,"Merkur",{"$f":"I68","v":245.46753787489979},{"$f":"I70","v":-10.03688992450012}]
[null,"Venus",{"$f":"J68","v":281.88856693332173},{"$f":"J70","v":-33.68457953787113}]
[null,"Mars",{"$f":"K68","v":182.52289069879237},{"$f":"K70","v":43.114313516518202}]
[null,"Jupiter",{"$f":"L68","v":279.61706493817837},{"$f":"L70","v":-35.381257965869999}]
[null,"Saturn",{"$f":"M68","v":255.76049301821627},{"$f":"M70","v":-17.32843937112176}]
[null,"Uranus",{"$f":"N68","v":162.27211741435667},{"$f":"N70","v":46.908764386438705}]
[null,"Neptun",{"$f":"O68","v":211.68018105677675},{"$f":"O70","v":25.819469752576115}]
[]
[]
[]
[]
[null,"Aufgang, Durchgang und Untergang"]
[]
[null,null,null,null,"Sonne",null,"Mond",null,"Merkur","Venus","Mars","Jupiter","Saturn","Uranus","Neptun"]
[]
[null,null,"Rektaszension Sonne",null,{"$f":"$E30/15","v":20.237772674770405},null,{"$f":"$E30/15","v":20.237772674770405},null,{"$f":"$E30/15","v":20.237772674770405},20.237772674770405,20.237772674770405,20.237772674770405,20.237772674770405,20.237772674770405,20.237772674770405,null,"$E30/15",null,"Mond"]
[null,null,null,null,{"$f":"$E30/15","v":20.237772674770405},null,{"$f":"G30/15","v":8.7430845386852472},null,{"$f":"I30/15","v":19.871203378401564},16.946738517508312,0.83822129405708279,16.971466745215096,18.978791095726457,1.7756601211299359,23.065092578346786,null,"G30/15",null,"Mond"]
[null,null,"Differenz",null,{"$f":"E94-E93","v":0},null,{"$f":"G94-G93","v":-11.494688136085157},null,{"$f":"I94-I93","v":-0.36656929636884072},-3.2910341572620929,-19.399551380713323,-3.2663059295553083,-1.2589815790439474,{"$f":"N94-N93","v":-18.46211255364047},2.827319903576381,null,"G91-G90",null,"Mond"]
[]
[null,null,"Durchgang Sonne",null,{"$f":"Tabelle3!$D116","v":12.539336982657236},null,{"$f":"Tabelle3!$D116","v":12.539336982657236},null,{"$f":"Tabelle3!$D116","v":12.539336982657236},{"$f":"Tabelle3!$D116","v":12.539336982657236},{"$f":"Tabelle3!$D116","v":12.539336982657236},{"$f":"Tabelle3!$D116","v":12.539336982657236},{"$f":"Tabelle3!$D116","v":12.539336982657236},{"$f":"Tabelle3!$D116","v":12.539336982657236},{"$f":"Tabelle3!$D116","v":12.539336982657236},null,"Tabelle3!$D116"]
[]
[null,null,"Durchgang",null,{"$f":"E97+E95","v":12.539336982657236},null,{"$f":"G97+G95","v":1.0446488465720787},null,{"$f":"I97+I95","v":12.172767686288395},9.2483028253951431,{"$f":"K97+K95","v":-6.8602143980560868},9.2730310531019278,11.280355403613289,{"$f":"N97+N95","v":-5.9227755709832337},15.366656886233617,null,"G94+G92",null,"Mond"]
[null,null,null,null,{"$f":"IF(E99<0,24+E99,E99)","v":12.539336982657236},null,{"$f":"IF(G99<0,24+G99,G99)","v":1.0446488465720787},null,12.172767686288395,9.2483028253951431,17.139785601943913,9.2730310531019278,11.280355403613289,{"$f":"IF(N99<0,24+N99,N99)","v":18.077224429016766},{"$f":"IF(O99<0,24+O99,O99)","v":15.366656886233617},null,"WENN(G96<0;24+G96;G96)",null,"Mond",null,"Wenn Wert <0 dann 24+Wert"]
[null,null,null,null,{"$f":"E100/24","v":"12:32:21.613"},null,{"$f":"G100/24","v":"01:02:40.736"},null,"12:10:21.964","09:14:53.890","17:08:23.228","09:16:22.912","11:16:49.279",{"$f":"N100/24","v":"18:04:38.008"},{"$f":"O100/24","v":"15:21:59.965"},null,"G97/24",null,"Mond"]
[]
[null,null,"Durchgang alternativ",null,{"$f":"E31*24-E54*24+$D$4+Tabelle1!$G$6","v":36.539677025259564},null,{"$f":"G31*24-G54*24+$D$4+Tabelle1!$G$6","v":25.044988889174405},null,{"$f":"I31*24-I54*24+$D$4+Tabelle1!$G$6","v":36.17310772889072},{"$f":"J31*24-J54*24+$D$4+Tabelle1!$G$6","v":33.248642867997468},{"$f":"K31*24-K54*24+$D$4+Tabelle1!$G$6","v":17.140125644546238},{"$f":"L31*24-L54*24+$D$4+Tabelle1!$G$6","v":33.273371095704249},{"$f":"M31*24-M54*24+$D$4+Tabelle1!$G$6","v":35.280695446215617},{"$f":"N31*24-N54*24+$D$4+Tabelle1!$G$6","v":18.077564471619091},{"$f":"O31*24-O54*24+$D$4+Tabelle1!$G$6","v":39.366996928835945}]
[null,null,"Nach Sternzeit und RA",null,{"$f":"IF(E103<0,24+E103,E103)","v":36.539677025259564},null,25.044988889174405,null,36.17310772889072,33.248642867997468,17.140125644546238,33.273371095704249,35.280695446215617,{"$f":"IF(N103<0,24+N103,N103)","v":18.077564471619091},{"$f":"IF(O103<0,24+O103,O103)","v":39.366996928835945}]
[null,null,"berechnet",null,{"$f":"E104/24","v":1.5224865427191485},null,1.0435412037156002,null,1.5072128220371133,1.3853601194998946,"17:08:24.452",1.3863904623210104,1.4700289769256507,{"$f":"N104/24","v":"18:04:39.232"},{"$f":"O104/24","v":1.6402915387014978}]
[]
[null,null,null,null,null,null,"Eigenbewegung Mond",null,null,"TRY"]
[null,null,null,null,null,null,"Korrektur MD",null,null,"MD alt",{"$f":"G105","v":1.0435412037156002}]
[null,null,null,null,null,null,"Bewegung / h",{"$f":"Tabelle4!D51","v":0.61417082820766},null,"MD neu",{"$f":"K108-(1/24-Tabelle4!J48/24)","v":1.0265255393685973}]
[null,null,null,null,null,null,null,{"$f":"(G104-D4)*H109/15","v":0.35955732662087209}]
[null,null,null,null,null,null,null,{"$f":"G104+H110","v":25.404546215795278}]
[null,null,null,null,null,null,null,{"$f":"IF(H111>24,H111-24,H111)","v":1.4045462157952784},"UTC"]
[null,null,null,null,null,null,"Mond MD geo",{"$f":"H112/24","v":"01:24:16.366"}]
[]
[null,null,"Höhe bei Durchgang (°)",null,{"$f":"90-Tabelle1!$M$6+E32","v":17.756326717103025},null,{"$f":"90-Tabelle1!$M$6+G32","v":56.144568192703503},null,{"$f":"90-Tabelle1!$M$6+I32","v":14.813611060064311},{"$f":"90-Tabelle1!$M$6+J32","v":18.06795395325863},{"$f":"90-Tabelle1!$M$6+K32","v":43.139175216251196},{"$f":"90-Tabelle1!$M$6+L32","v":15.566078612200549},{"$f":"90-Tabelle1!$M$6+M32","v":15.332569446899676},{"$f":"90-Tabelle1!$M$6+N32","v":48.060422098964104},{"$f":"90-Tabelle1!$M$6+O32","v":30.57619897535384},null,"90-Tabelle1!$J$6+E32"]
[]
[]
[null,null,"Halber Tagbogen",null,{"$f":"12*ACOS((SIN(RADIANS(-0.833))-(SIN(RADIANS($J4))*SIN(RADIANS(E32))/(COS(RADIANS($J4))*COS(RADIANS(E32))))))/PI()","v":4.1988772639288845},null,{"$f":"12*ACOS((SIN(RADIANS(-0.833))-(SIN(RADIANS($J4))*SIN(RADIANS(G32))/(COS(RADIANS($J4))*COS(RADIANS(G32))))))/PI()","v":7.7800220164253782},null,{"$f":"12*ACOS((SIN(RADIANS(-0.833))-(SIN(RADIANS($J4))*SIN(RADIANS(I32))/(COS(RADIANS($J4))*COS(RADIANS(I32))))))/PI()","v":3.8613981062778091},4.2329428336541746,6.5362145408956662,3.9506668049622582,3.9232031392858553,6.9795211296127002,5.4411203375542181,null,"Mond:12*ARCCOS((SIN(BOGENMASS(-0,833))-(SIN(BOGENMASS($J4))*SIN(BOGENMASS(G32))/(COS(BOGENMASS($J4))*COS(BOGENMASS(G32))))))/PI()"]
[]
[]
[null,null,"Aufgang",null,{"$f":"IF(E99-E118<0,E99-E118+24,E99-E118)","v":8.3404597187283507},null,{"$f":"IF(G99-G118<0,G99-G118+24,G99-G118)","v":17.2646268301467},null,{"$f":"IF(I99-I118<0,I99-I118+24,I99-I118)","v":8.3113695800105862},5.0153599917409686,10.603571061048246,5.3223642481396691,7.3571522643274339,11.097703299404067,9.9255365486793998,null,"WENN(G96-G100<0;G96-G100+24;G96-G100)",null,null,null,"Durchgang - halber Tagbogen"]
[null,null,null,null,{"$f":"E121/24","v":"08:20:25.655"},null,{"$f":"G121/24","v":"17:15:52.657"},null,{"$f":"I121/24","v":"08:18:40.930"},"05:00:55.296","10:36:12.856","05:19:20.511","07:21:25.748","11:05:51.732","09:55:31.932",null,"G102/24",null,null,null,"Durchgang + halber Tagbogen"]
[null,null,null,null,null,null,null,"Mond MA"]
[null,null,null,null,null,null,null,{"$f":"H112-G118-G118/24","v":-6.6996433846478238}]
[null,null,null,null,null,null,null,{"$f":"IF(H124<0,24+H124,H124)","v":17.300356615352175}]
[null,null,null,null,null,null,null,{"$f":"H125/24","v":"17:18:01.284"}]
[null,null,"Azimut (Aufgang)",null,{"$f":"180-ACOS(-SIN(RADIANS(E32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":123.82354399054486},null,{"$f":"180-ACOS(-SIN(RADIANS(G32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":58.635657192865139},null,{"$f":"180-ACOS(-SIN(RADIANS(I32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":129.42005825901086},{"$f":"180-ACOS(-SIN(RADIANS(J32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":123.24696005385539},{"$f":"180-ACOS(-SIN(RADIANS(K32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":80.934622382436615},{"$f":"180-ACOS(-SIN(RADIANS(L32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":127.96021363644336},{"$f":"180-ACOS(-SIN(RADIANS(M32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":128.41091219023269},{"$f":"180-ACOS(-SIN(RADIANS(N32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":72.730578182088806},{"$f":"180-ACOS(-SIN(RADIANS(O32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":101.5890535322546}]
[]
[null,null,"Untergang",null,{"$f":"E99+E118","v":16.738214246586121},null,{"$f":"G99+G118","v":8.8246708629974577},null,{"$f":"I99+I118","v":16.034165792566206},13.481245659049318,-0.32399985716042057,13.223697858064186,15.203558542899144,1.0567455586294665,20.807777223787834,null,"G96+G100"]
[null,null,null,null,{"$f":"IF(E129<0,24+E129,E129)","v":16.738214246586121},null,{"$f":"IF(G129<0,24+G129,G129)","v":8.8246708629974577},null,{"$f":"IF(I129<0,24+I129,I129)","v":16.034165792566206},13.481245659049318,23.67600014283958,13.223697858064186,15.203558542899144,1.0567455586294665,20.807777223787834,null,"WENN(G107<0;24+G107;G107)"]
[null,null,null,null,{"$f":"E130/24","v":"16:44:17.571"},null,{"$f":"G130/24","v":"08:49:28.815"},null,{"$f":"I130/24","v":"16:02:02.997"},"13:28:52.484","23:40:33.601","13:13:25.312","15:12:12.811","01:03:24.284","20:48:27.998",null,"G108/24"]
[null,null,null,null,null,null,null,"Mond MU"]
[null,null,null,null,null,null,null,{"$f":"H112+G118+G118/24","v":9.5087358162383797}]
[null,null,null,null,null,null,null,{"$f":"IF(H133<0,24+H133,H133)","v":9.5087358162383797}]
[null,null,null,null,null,null,null,{"$f":"H134/24","v":"09:30:31.449"}]
[]
[null,null,"Azimut (Untergang)",null,{"$f":"180+ACOS(-SIN(RADIANS(E32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":236.17645600945514},null,{"$f":"180+ACOS(-SIN(RADIANS(G32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":301.36434280713485},null,{"$f":"180+ACOS(-SIN(RADIANS(I32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":230.57994174098914},{"$f":"180+ACOS(-SIN(RADIANS(J32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":236.75303994614461},{"$f":"180+ACOS(-SIN(RADIANS(K32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":279.0653776175634},{"$f":"180+ACOS(-SIN(RADIANS(L32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":232.03978636355663},{"$f":"180+ACOS(-SIN(RADIANS(M32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":231.58908780976731},{"$f":"180+ACOS(-SIN(RADIANS(N32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":287.26942181791117},{"$f":"180+ACOS(-SIN(RADIANS(O32))/COS(RADIANS(Tabelle1!$M$6)))*180/PI()","v":258.41094646774542}]
[]
[]
[]
[null,null,null,null,null,null,"Mond:"]
[null,null,null,null,null,null,"EIGENBEWEGUNG nach OSTEN nur näherungsweise berücksichtigt!"]
[null,null,null,null,null,null,"Aufgangs- Durchgangs- und Untergangszeiten abhängig von eingestellter Uhrzeit!"]

{"sheet":"Tabelle7","index":6,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":true,"merged":[]}

{"sheet":"Tabelle8","index":7,"n_rows":9,"n_cols":18,"rows_kept":9,"cut":false,"hidden":false,"merged":[]}
[]
["Datum",{"$f":"Tabelle1!B10","v":"2019-01-21T16:15:48.450"},null,"Länge",{"$f":"Tabelle1!$K$6","v":9.73}]
[]
[]
[null,"Datum, Uhrzeit",null,"Uhrzeit","JD","Tage J2000","T",null,"JD0","T0","Sternzeit G","norm. 24h ","Sternzeit Greenwich","q Grennwich",null,"HA Frühlingspunkt",null,"Lokale Sternzeit"]
[null,{"$f":"B2","v":"2019-01-21T16:15:48.450"},{"$f":"B6","v":43486.67764409689},{"$f":"B6-INT(B6)","v":"16:15:48.450"},{"$f":"2451545+B6-DATE(2000,1,1)","v":2458505.6776440968},{"$f":"E6-2451545.5","v":6960.1776440967806},{"$f":"F6/36525","v":0.19055927841469625},null,{"$f":"INT(2451545+B6-DATE(2000,1,1))","v":2458505},{"$f":"(I6-2451545.5)/36525","v":0.19054072553045859},{"$f":"6.697376+2400.05134*J6+1.002738*D6*24","v":480.31288730819716},{"$f":"K6-INT(K6/24)*24","v":0.31288730819716193},{"$f":"L6/24","v":"00:18:46.394"},{"$f":"L6*15","v":4.6933096229574289},null,{"$f":"N6+Tabelle1!$K$6","v":14.423309622957429},{"$f":"P6/15","v":0.96155397486382865},{"$f":"Q6/24","v":"00:57:41.594"}]
[]
[]
[null,null,null,"Sternzeit zur Tagesmitte",null,null,null,null,{"$f":"I6+0.5","v":2458505.5},{"$f":"(I9-2451545.5)/36525","v":0.19055441478439425},{"$f":"6.697376+2400.05134*J9+1.002738*0.5*24","v":476.07061054620124},{"$f":"K9-INT(K9/24)*24","v":20.070610546201237},{"$f":"L9/24","v":"20:04:14.198"},{"$f":"L9*15","v":301.05915819301856},null,{"$f":"N9+Tabelle1!$K$6","v":310.78915819301858},{"$f":"P9/15","v":20.719277212867905},{"$f":"Q9/24","v":"20:43:09.398"}]

{"sheet":"Tabelle9","index":8,"n_rows":12,"n_cols":15,"rows_kept":12,"cut":false,"hidden":false,"merged":[]}
[null,null,{"$f":"O7+1","v":15}]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,{"$f":"Tabelle1!$S$17","v":-99.680687527710731},"%",{"$f":"IF(K7<0,14.03+(14.03+2*K7/14.25),2*K7/14.25)","v":14.069728066286212},null,{"$f":"ROUND(M7,0)","v":14}]
[null,null,null,null,null,null,null,null,null,null,"Übernahme von Tabelle1",null,"Rohwert",null,"Runden (Mondalter)"]
[null,null,null,null,null,"Prinzip: "]
[null,null,null,null,null,"Verknüpfung der Bilder über Funktion \"Indirekt\" "]
[null,null,null,null,null,"\"Formeln\". \"Namensmanager\""]
[null,null,null,null,null,"INDIREKT(\"Tabelle1!A\" & Tabelle1!$C$1)"]

{"sheet":"Tabelle10","index":9,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":true,"merged":[]}