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[1,"Tabelle 1   Bahnelemente der Galileischen Monde und abgeleitete Größen",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n","φ1","φ1 / π",null,"n"," φ2","φ2 / π","n","φ3 ","φ3 / π"]
[{"$f":"A2+1","v":2},null,"                        a: große Halbachse          T: Umlaufdauer                ω: mittlere Winkelgeschwindigkeit",null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"Q3*$N$6+PI()","v":3.1415926535897931},{"$f":"R3/PI()","v":1},null,0,{"$f":"U3*$N$7","v":0},{"$f":"V3/PI()","v":0},0,{"$f":"X3*$N$8","v":0},{"$f":"Y3/PI()","v":0}]
[{"$f":"A3+1","v":3},null,"Jupitermond","n","an","Tn (d)","Tn / T1","Ex-","relative"," ωn ",null,null,null,"ωn - ωP  ","(ω1 - ωP)/",null,{"$f":"1/8","v":0.125},{"$f":"Q4*$N$10*$N$6+PI()","v":6.283180447350599},1.9999984530683883,null,{"$f":"1/2","v":0.5},{"$f":"U4*$N$10*$N$7","v":6.2831755875216126},1.9999969061367766,{"$f":"1","v":1},{"$f":"$N$10*$N$8","v":6.2831853071795862},2]
[4,null,null,null,"(103 km)","siderisch",null,"zentrizität","Masse ","(d-1)",null,null,null,"(d-1)","(ωn - ωP)",null,{"$f":"Q4","v":0.125},{"$f":"0","v":0},0,null,{"$f":"U4","v":0.5},{"$f":"0","v":0},0,{"$f":"X4","v":1},0,0]
[{"$f":"A4+1","v":4},null,"Io",1,421.67,1.769137,{"$f":"F6/$F$6","v":1},4.1000000000000003E-3,4.6999999999999997E-5,{"$f":"2*PI()/F6","v":3.5515538407594134},"ω1 - 2ω2  =",{"$f":"2*PI()/F6-4*PI()/F7","v":1.2909351583929585E-2},"d-1 ",{"$f":"J6-$L$10","v":3.564463192343343},{"$f":"$N$6/N6","v":1},null,{"$f":"Q5+1/4","v":0.375},{"$f":"Q6*$N$10*$N$6+PI()-2*PI()","v":6.2831707276926245},1.9999953592051647,null,{"$f":"U5+U4","v":1},{"$f":"U6*$N$10*$N$7-2*PI()","v":6.2831658678636391},1.9999938122735534,{"$f":"X5+X4","v":2},{"$f":"X6*$N$10*$N$8-2*PI()","v":6.2831853071795862},2]
[{"$f":"A6+1","v":5},null,"Europa",{"$f":"D6+1","v":2},670.9,3.5511819999999998,{"$f":"F7/$F$6","v":2.0072962127862342},1.01E-2,2.5000000000000001E-5,{"$f":"2*PI()/F7","v":1.7693222445877419},"ω2 - 2ω3  =",{"$f":"2*PI()/F7-4*PI()/F8","v":1.2906594589269238E-2},"d-1 ",{"$f":"J7-$L$10","v":1.7822315961716715},{"$f":"$N$6/N7","v":2},null,{"$f":"Q6","v":0.375},{"$f":"0","v":0},0,null,{"$f":"U6","v":1},{"$f":"0","v":0},0,{"$f":"X6","v":2},0,0]
[{"$f":"A7+1","v":6},null,"Ganymed",{"$f":"D7+1","v":3},1070,7.1545540000000001,{"$f":"F8/$F$6","v":4.044092684738378},5.9999999999999995E-4,7.7999999999999999E-5,0.87820782499923633,"ω1 – 3ω2+ 2ω3 =",{"$f":"2*PI()/F6-6*PI()/F7+4*PI()/F8","v":2.7569946603467343E-6},"d-1 ",{"$f":"J8-$L$10","v":0.89111717658316592},{"$f":"$N$6/N8","v":3.9999938122735532},null,{"$f":"Q7+1/4","v":0.625},{"$f":"Q8*$N$10*$N$6+PI()-4*PI()","v":6.2831610080346536},1.9999922653419422,null,{"$f":"U7+$U$5","v":1.5},{"$f":"U8*$N$10*$N$7-4*PI()","v":6.2831561482056628},1.9999907184103292,{"$f":"1/6","v":0.16666666666666666},{"$f":"X8*$N$10*$N$8","v":1.0471975511965976},0.33333333333333331]
[{"$f":"A8+1","v":7},null,"Callisto",{"$f":"D8+1","v":4},1883,16.689019999999999,{"$f":"F9/$F$6","v":9.4334243193150105},7.0000000000000001E-3,5.7000000000000003E-5,0.37648617517263366,"3ω3 – 7ω4  =",{"$f":"6*PI()/F8-14*PI()/F9","v":-7.7975121072659803E-4},"d-1 ","Trep =","2π /(ω3 - ωP) =",null,{"$f":"Q8","v":0.625},{"$f":"0","v":0},0,null,{"$f":"U8","v":1.5},{"$f":"0","v":0},0,{"$f":"1/2","v":0.5},{"$f":"X9*$N$10*$N$8","v":3.1415926535897931},1]
[8,null,"Äquatorradius Jupiter: 71492 km",null,null,"7 T3 / 3 T4","≈",{"$f":"7*F8/(3*F9)","v":1.0002959630543515},"(bez. auf Jupiter)","ωP ="," - (ω1 - 2ω2) = ",{"$f":"- L6","v":-1.2909351583929585E-2},"d-1 ",{"$f":"2*PI()/$N$8","v":7.0509080873868566},"d ",null,{"$f":"Q9+1/4","v":0.875},{"$f":"Q10*$N$10*$N$6+PI()-6*PI()","v":6.2831512883766756},1.9999891714787175,null,{"$f":"U9+$U$5","v":2},{"$f":"U10*$N$10*$N$7-6*PI()","v":6.2831464285476919},1.9999876245471067,{"$f":"5*1/6","v":0.83333333333333337},{"$f":"X10*$N$10*$N$8","v":5.2359877559829888},1.6666666666666667]
[9,null,"Mondradien:",null,null,"R1   = ",1821,"km,     R2 =",1565,"km,","    R3  =",2634,"km",null,null,null,{"$f":"Q10","v":0.875},{"$f":"0","v":0},0,null,{"$f":"U10","v":2},{"$f":"0","v":0},0,{"$f":"7*1/6","v":1.1666666666666667},{"$f":"X11*$N$10*$N$8-2*PI()","v":1.0471975511965983},0.33333333333333354]
[null,null,null,null,null,"(Bahnelemente aus [3], S. 398 und 532)",null,null,null,null,null,null,null,null,null,null,{"$f":"Q11+1/4","v":1.125},{"$f":"Q12*$N$10*$N$6+PI()-8*PI()","v":6.2831415687187047},1.999986077615495,null,0,0,0,null,"Konj. 1, 3 "]
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[]
[null,"Laplace-Resonanz"]
[null,"Diagramm 1 Auslenkungen Galileischer Monde in einem Koordinatensystem, das sich mit Io's Apsidenachse dreht"]
[]
[null,"ω1 =",{"$f":"2*PI()/1.76914","v":3.5515478182504419},"d-1","a1 =",4.22,"* 105 km","ωp =",-1.29E-2,"d-1"]
[null,"ω2 =",{"$f":"2*PI()/3.55118","v":1.7693232410577853},"d-2","a2 =",6.71,"* 105 km"]
[null,"ω3 =",{"$f":"2*PI()/7.15455","v":0.87820831599186333},"d-3","a3 =",10.7,"* 105 km"]
[null,"t /d","l1","l2","l3"]
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[]
[null,null,"Tabelle 1  Daten Galileischer Monde  (siehe Zeitschriftenartikel )"]
[null,null,"an: große Halbachse     Tn: Umlaufdauer     ωn:  Winkelgeschwindigkeit     Rn: Mondhalbmesser"]
[null,null,"Jupitermond","n","an","Tnsid","Tn / T1","ωn",null,"Rn ","ωn - ωP  ","bn = RJ "]
[null,null,null,null,"(103 km)","(d)",null,"(d-1)","(min-1)","(km)"," (min-1)","+ Rn (km)"]
[null,null,"Io",1,421.67,1.769137,{"$f":"F6/$F$6","v":1},{"$f":"2*PI()/F6","v":3.5515538407594134},{"$f":"2*PI()/(F6*24*60)","v":2.4663568338607039E-3},1821,{"$f":"I6-$F$9","v":2.4753221116384817E-3},{"$f":"$L$9+J6","v":73313}]
[null,null,"Europa",{"$f":"D6+1","v":2},670.9,3.5511819999999998,{"$f":"F7/$F$6","v":2.0072962127862342},{"$f":"2*PI()/F7","v":1.7693222445877419},{"$f":"2*PI()/(F7*24*60)","v":1.228696003185932E-3},1565,{"$f":"I7-$F$9","v":1.2376612809637099E-3},{"$f":"$L$9+J7","v":73057}]
[null,null,"Ganymed",{"$f":"D7+1","v":3},1070,7.1545540000000001,{"$f":"F8/$F$6","v":4.044092684738378},{"$f":"2*PI()/F8","v":0.87820782499923633},{"$f":"2*PI()/(F8*24*60)","v":6.0986654513835853E-4},2634,{"$f":"I8-$F$9","v":6.188318229161363E-4},{"$f":"$L$9+J8","v":74126}]
[null,null," ωP =",-1.291E-2,"d-1    =",{"$f":"D9/(24*60)","v":-8.9652777777777775E-6},"min-1","Äquatorradius Jupiter:",null,null,"RJ =",71492,"km"]
[null,null,"    2:58 Uhr: 1 BA           2:43 Uhr: 2 DA                2:24 Uhr: 3 DA        (MEZ, am 27.08.09)"]
[]
[null,"t (min)","ϕ1","ϕ2","ϕ3 ","2009-08-27",null,"3 DA:","02:24:00",null,"Jupiter-Opposition am 14.08.09"]
[null,0,null,null,{"$f":"$L$8/($E$8*1000)","v":6.9276635514018692E-2},null,null,"+ 102 min:",{"$f":"I12+(1+42/60)/24","v":"04:06:00"},"(Uhrzeit für Gleichheit der Winkel)"]
[null,{"$f":"B13+1","v":1},null,null,{"$f":"$E$13-$K$8*(B14-$B$13)","v":6.8657803691102554E-2}]
[null,{"$f":"B14+1","v":2},null,null,6.8038971868186415E-2]
[null,3,null,null,6.7420140045270277E-2]
[null,4,null,null,6.6801308222354153E-2]
[null,5,null,null,6.6182476399438014E-2]
[null,6,null,null,6.5563644576521876E-2]
[null,7,null,null,6.4944812753605738E-2]
[null,8,null,null,6.43259809306896E-2]
[null,9,null,null,6.3707149107773461E-2]
[null,10,null,null,6.3088317284857323E-2]
[null,11,null,null,6.2469485461941192E-2]
[null,12,null,null,6.1850653639025054E-2]
[null,13,null,null,6.1231821816108922E-2]
[null,14,null,null,6.0612989993192784E-2]
[null,15,null,null,5.9994158170276646E-2]
[null,16,null,null,5.9375326347360508E-2]
[null,17,null,null,5.8756494524444376E-2]
[null,18,null,null,5.8137662701528238E-2]
[null,19,null,{"$f":"$L$7/($E$7*1000)","v":0.10889402295424057},5.75188308786121E-2]
[null,20,null,{"$f":"$D$32-$K$7*(B33-$B$32)","v":0.10765636167327686},5.6899999055695968E-2]
[null,21,null,0.10641870039231315,5.628116723277983E-2]
[null,22,null,0.10518103911134943,5.5662335409863692E-2]
[null,23,null,0.10394337783038574,5.5043503586947554E-2]
[null,24,null,0.10270571654942202,5.4424671764031422E-2]
[null,25,null,0.10146805526845831,5.3805839941115284E-2]
[null,26,null,0.1002303939874946,5.3187008118199153E-2]
[null,27,null,9.8992732706530889E-2,5.2568176295283014E-2]
[null,28,null,9.7755071425567178E-2,5.1949344472366876E-2]
[null,29,null,9.6517410144603466E-2,5.1330512649450738E-2]
[null,30,null,9.5279748863639754E-2,5.07116808265346E-2]
[null,31,null,9.4042087582676043E-2,5.0092849003618461E-2]
[null,32,null,9.2804426301712345E-2,4.947401718070233E-2]
[null,33,null,9.1566765020748633E-2,{"$f":"$E$13-$K$8*(B46-$B$13)","v":4.8855185357786199E-2}]
[null,34,{"$f":"$L$6/($E$6*1000)","v":0.17386344771978088},9.0329103739784922E-2,4.8236353534870061E-2]
[null,35,{"$f":"$C$47-$K$6*(B48-$B$47)","v":0.1713881256081424},8.909144245882121E-2,4.7617521711953922E-2]
[null,36,0.16891280349650392,8.7853781177857498E-2,4.6998689889037784E-2]
[null,37,0.16643748138486544,8.6616119896893787E-2,4.6379858066121646E-2]
[null,38,0.16396215927322694,8.5378458615930075E-2,4.5761026243205508E-2]
[null,39,0.16148683716158846,8.4140797334966377E-2,4.5142194420289376E-2]
[null,40,0.15901151504994998,8.2903136054002652E-2,4.4523362597373238E-2]
[null,41,0.1565361929383115,8.1665474773038954E-2,4.3904530774457107E-2]
[null,42,0.15406087082667302,8.0427813492075242E-2,4.3285698951540968E-2]
[null,43,0.15158554871503455,7.9190152211111531E-2,4.266686712862483E-2]
[null,44,0.14911022660339607,7.7952490930147819E-2,4.2048035305708692E-2]
[null,45,0.14663490449175759,7.6714829649184108E-2,4.1429203482792554E-2]
[null,46,0.14415958238011911,7.547716836822041E-2,4.0810371659876422E-2]
[null,47,0.14168426026848063,7.4239507087256684E-2,4.0191539836960284E-2]
[null,48,0.13920893815684213,7.3001845806292986E-2,3.9572708014044153E-2]
[null,49,0.13673361604520365,7.1764184525329275E-2,3.8953876191128015E-2]
[null,50,0.13425829393356517,7.0526523244365563E-2,3.8335044368211876E-2]
[null,51,0.13178297182192669,6.9288861963401852E-2,3.7716212545295738E-2]
[null,52,0.12930764971028821,{"$f":"$D$32-$K$7*(B65-$B$32)","v":6.805120068243814E-2},3.7097380722379607E-2]
[null,53,0.12683232759864971,6.6813539401474428E-2,3.6478548899463469E-2]
[null,54,0.12435700548701124,6.5575878120510717E-2,3.585971707654733E-2]
[null,55,0.12188168337537277,6.4338216839547019E-2,3.5240885253631192E-2]
[null,56,0.11940636126373427,6.3100555558583293E-2,3.4622053430715061E-2]
[null,57,0.11693103915209579,6.1862894277619596E-2,3.4003221607798922E-2]
[null,58,0.11445571704045732,6.0625232996655884E-2,3.3384389784882784E-2]
[null,59,0.11198039492881884,5.9387571715692172E-2,3.2765557961966653E-2]
[null,60,0.10950507281718036,5.8149910434728461E-2,3.2146726139050515E-2]
[null,61,0.10702975070554187,5.6912249153764749E-2,3.1527894316134376E-2]
[null,62,0.10455442859390339,5.5674587872801044E-2,3.0909062493218238E-2]
[null,63,0.10207910648226491,5.4436926591837333E-2,3.0290230670302107E-2]
[null,64,9.9603784370626419E-2,5.3199265310873621E-2,2.9671398847385969E-2]
[null,65,9.7128462258987941E-2,5.1961604029909916E-2,{"$f":"$E$13-$K$8*(B78-$B$13)","v":2.905256702446983E-2}]
[null,{"$f":"B78+1","v":66},9.4653140147349463E-2,5.0723942748946205E-2,2.8433735201553699E-2]
[null,67,{"$f":"$C$47-$K$6*(B80-$B$47)","v":9.2177818035710984E-2},4.9486281467982493E-2,2.7814903378637561E-2]
[null,68,8.9702495924072506E-2,4.8248620187018781E-2,2.7196071555721422E-2]
[null,69,8.7227173812434014E-2,4.701095890605507E-2,2.6577239732805284E-2]
[null,70,8.4751851700795536E-2,4.5773297625091358E-2,2.5958407909889153E-2]
[null,71,8.2276529589157057E-2,4.4535636344127646E-2,2.5339576086973015E-2]
[null,72,7.9801207477518565E-2,4.3297975063163949E-2,2.4720744264056876E-2]
[null,73,7.7325885365880087E-2,4.2060313782200237E-2,2.4101912441140745E-2]
[null,74,7.4850563254241609E-2,4.0822652501236525E-2,2.3483080618224607E-2]
[null,75,7.2375241142603131E-2,3.9584991220272814E-2,2.2864248795308469E-2]
[null,76,6.9899919030964652E-2,3.8347329939309102E-2,2.224541697239233E-2]
[null,77,6.742459691932616E-2,3.7109668658345391E-2,2.1626585149476199E-2]
[null,78,6.4949274807687682E-2,3.5872007377381679E-2,2.1007753326560061E-2]
[null,79,6.2473952696049204E-2,3.4634346096417981E-2,2.0388921503643923E-2]
[null,80,5.9998630584410712E-2,3.3396684815454269E-2,1.9770089680727784E-2]
[null,81,5.7523308472772233E-2,3.2159023534490558E-2,1.9151257857811653E-2]
[null,82,5.5047986361133755E-2,3.0921362253526846E-2,1.8532426034895515E-2]
[null,83,5.2572664249495277E-2,2.9683700972563135E-2,1.7913594211979376E-2]
[null,84,5.0097342137856798E-2,{"$f":"$D$32-$K$7*(B97-$B$32)","v":2.8446039691599423E-2},1.7294762389063245E-2]
[null,85,4.762202002621832E-2,2.7208378410635711E-2,1.6675930566147107E-2]
[null,86,4.5146697914579842E-2,2.5970717129672E-2,1.6057098743230969E-2]
[null,87,4.2671375802941336E-2,2.4733055848708288E-2,1.543826692031483E-2]
[null,88,4.0196053691302858E-2,2.349539456774459E-2,1.4819435097398699E-2]
[null,89,3.7720731579664379E-2,2.2257733286780879E-2,1.4200603274482561E-2]
[null,90,3.5245409468025901E-2,2.1020072005817167E-2,1.3581771451566423E-2]
[null,91,3.2770087356387423E-2,1.9782410724853455E-2,1.2962939628650291E-2]
[null,92,3.0294765244748945E-2,1.8544749443889744E-2,1.2344107805734153E-2]
[null,93,2.7819443133110466E-2,1.7307088162926032E-2,1.1725275982818015E-2]
[null,94,2.534412102147196E-2,1.606942688196232E-2,1.1106444159901877E-2]
[null,95,2.2868798909833482E-2,1.4831765600998623E-2,1.0487612336985745E-2]
[null,96,2.0393476798195004E-2,1.3594104320034911E-2,9.8687805140696069E-3]
[null,97,1.7918154686556526E-2,1.2356443039071199E-2,{"$f":"$E$13-$K$8*(B110-$B$13)","v":9.2499486911534687E-3}]
[null,98,1.5442832574918047E-2,1.1118781758107488E-2,8.6311168682373374E-3]
[null,99,{"$f":"$C$47-$K$6*(B112-$B$47)","v":1.2967510463279569E-2},9.8811204771437761E-3,8.0122850453211991E-3]
[null,100,1.0492188351641091E-2,8.6434591961800644E-3,7.3934532224050609E-3]
[null,101,8.0168662400026125E-3,7.4057979152163528E-3,6.7746213994889226E-3]
[null,101.65,6.407906867437585E-3,6.6013180825899437E-3,6.3723807145934369E-3,"rund 102  min nach \"3 DA\" in etwa"]
[null,103,3.0662220167256282E-3,4.9304753532889295E-3,5.5369577536566461E-3," gleiche  Winkelbeträge φi ≈ 0,0065 rad"]
[null,104,5.9089990508714996E-4,3.6928140723252317E-3,4.9181259307405217E-3,null,"≈",{"$f":"0.0065*180/PI()","v":0.37242256683503505},"°"]
[null,105,-1.8844222065513283E-3,2.4551527913615201E-3,4.2992941078243835E-3]
[null,106,-4.3597443181898066E-3,1.2174915103978085E-3,3.6804622849082452E-3]
[null,107,-6.8350664298282848E-3,-2.0169770565903189E-5,3.061630461992107E-3]
[null,108,-9.3103885414667631E-3,-1.2578310515296148E-3,2.4427986390759687E-3]
[null,109,-1.1785710653105241E-2,-2.4954923324933265E-3,1.8239668161598305E-3]
[null,110,-1.4261032764743747E-2,-3.7331536134570381E-3,1.2051349932436922E-3]
[null,111,-1.6736354876382226E-2,-4.9708148944207359E-3,5.8630317032756785E-4]
[null,112,-1.9211676988020704E-2,-6.2084761753844475E-3,-3.2528652588570406E-5]
[null,113,-2.1686999099659182E-2,-7.4461374563481592E-3,-6.5136047550470866E-4]
[null,114,-2.416232121129766E-2,-8.6837987373118708E-3,-1.2701922984208469E-3]
[null,115,-2.6637643322936139E-2,-9.9214600182755824E-3,-1.8890241213369852E-3]
[null,116,-2.9112965434574617E-2,-1.1159121299239294E-2,-2.5078559442531234E-3]
[null,117,-3.1588287546213095E-2,-1.2396782580203006E-2,-3.1266877671692617E-3]
[null,118,-3.4063609657851573E-2,-1.3634443861166717E-2,-3.745519590085386E-3]
[null,119,-3.6538931769490079E-2,-1.4872105142130429E-2,-4.3643514130015243E-3]
[null,120,-3.9014253881128558E-2,-1.6109766423094127E-2,-4.9831832359176625E-3]

{"sheet":"Tab.1, Diagr. 2","index":3,"n_rows":44,"n_cols":26,"rows_kept":44,"cut":false,"hidden":false,"merged":[[40,13,40,14],[3,6,4,6],[3,2,4,2],[3,3,4,3],[10,2,10,4],[40,3,40,5],[40,7,40,9],[15,20,16,21],[2,2,2,12],[9,2,9,4],[11,5,11,8],[1,1,1,10]]}
[null,"A","B","C","D","E","F","G","H","I","J","K","L","M","N"]
[1,"Tabelle 1   Bahnelemente der Galileischen Monde und abgeleitete Größen",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n","φ1","φ1 / π",null,"n"," φ2","φ2 / π","n","φ3 ","φ3 / π"]
[{"$f":"A2+1","v":2},null,"                        a: große Halbachse          T: Umlaufdauer                ω: mittlere Winkelgeschwindigkeit",null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"Q3*$N$6+PI()","v":3.1415926535897931},{"$f":"R3/PI()","v":1},null,0,{"$f":"U3*$N$7","v":0},{"$f":"V3/PI()","v":0},0,{"$f":"X3*$N$8","v":0},{"$f":"Y3/PI()","v":0}]
[{"$f":"A3+1","v":3},null,"Jupitermond","n","an","Tn (d)","Tn / T1","Ex-","relative"," ωn ",null,null,null,"ωn - ωP  ","(ω1 - ωP)/",null,{"$f":"1/8","v":0.125},{"$f":"Q4*$N$10*$N$6+PI()","v":6.2831787328845898},1.9999979073369079,null,{"$f":"1/2","v":0.5},{"$f":"U4*$N$10*$N$7","v":6.283173301569291},1.9999961784955533,{"$f":"1","v":1},{"$f":"$N$10*$N$8","v":6.2831853071795862},2]
[4,null,null,null,"(103 km)","siderisch",null,"zentrizität","Masse ","(d-1)",null,null,null,"(d-1)","(ωn - ωP)",null,{"$f":"Q4","v":0.125},{"$f":"0","v":0},0,null,{"$f":"U4","v":0.5},{"$f":"0","v":0},0,{"$f":"X4","v":1},0,0]
[{"$f":"A4+1","v":4},null,"Io",1,421.67,1.769137,{"$f":"F6/$F$6","v":1},4.1000000000000003E-3,4.6999999999999997E-5,{"$f":"2*PI()/F6","v":3.5515538407594134},"ω1 - 2ω2  =",{"$f":"2*PI()/F6-4*PI()/F7","v":1.2909351583929585E-2},"d-1 ",{"$f":"J6-$L$10","v":3.5644638407594136},{"$f":"$N$6/N6","v":1},null,{"$f":"Q5+1/4","v":0.375},{"$f":"Q6*$N$10*$N$6+PI()-2*PI()","v":6.2831655842945988},1.9999937220107245,null,{"$f":"U5+U4","v":1},{"$f":"U6*$N$10*$N$7-2*PI()","v":6.2831612959589958},1.9999923569911067,{"$f":"X5+X4","v":2},{"$f":"X6*$N$10*$N$8-2*PI()","v":6.2831853071795862},2]
[{"$f":"A6+1","v":5},null,"Europa",{"$f":"D6+1","v":2},670.9,3.5511819999999998,{"$f":"F7/$F$6","v":2.0072962127862342},1.01E-2,2.5000000000000001E-5,{"$f":"2*PI()/F7","v":1.7693222445877419},"ω2 - 2ω3  =",{"$f":"2*PI()/F7-4*PI()/F8","v":1.2906594589269238E-2},"d-1 ",{"$f":"J7-$L$10","v":1.7822322445877419},{"$f":"$N$6/N7","v":1.9999996361775676},null,{"$f":"Q6","v":0.375},{"$f":"0","v":0},0,null,{"$f":"U6","v":1},{"$f":"0","v":0},0,{"$f":"X6","v":2},0,0]
[{"$f":"A7+1","v":6},null,"Ganymed",{"$f":"D7+1","v":3},1070,7.1545540000000001,{"$f":"F8/$F$6","v":4.044092684738378},5.9999999999999995E-4,7.7999999999999999E-5,{"$f":"2*PI()/F8","v":0.87820782499923633},"ω1 – 3ω2+ 2ω3 =",{"$f":"2*PI()/F6-6*PI()/F7+4*PI()/F8","v":2.7569946603467343E-6},"d-1 ",{"$f":"J8-$L$10","v":0.89111782499923631},{"$f":"$N$6/N8","v":3.9999916293476323},null,{"$f":"Q7+1/4","v":0.625},{"$f":"Q8*$N$10*$N$6+PI()-4*PI()","v":6.2831524357046078},1.9999895366845408,null,{"$f":"U7+$U$5","v":1.5},{"$f":"U8*$N$10*$N$7-4*PI()","v":6.2831492903486996},1.9999885354866598,{"$f":"1/6","v":0.16666666666666666},{"$f":"X8*$N$10*$N$8","v":1.0471975511965976},0.33333333333333331]
[{"$f":"A8+1","v":7},null,"Callisto",{"$f":"D8+1","v":4},1883,16.689019999999999,{"$f":"F9/$F$6","v":9.4334243193150105},7.0000000000000001E-3,5.7000000000000003E-5,{"$f":"2*PI()/F9","v":0.37648617517263366},"3ω3 – 7ω4  =",{"$f":"6*PI()/F8-14*PI()/F9","v":-7.7975121072659803E-4},"d-1 ","Trep =","2π /(ω3 - ωP) =",null,{"$f":"Q8","v":0.625},{"$f":"0","v":0},0,null,{"$f":"U8","v":1.5},{"$f":"0","v":0},0,{"$f":"1/2","v":0.5},{"$f":"X9*$N$10*$N$8","v":3.1415926535897931},1]
[{"$f":"A9+1","v":8},null,"Äquatorradius Jupiter: 71492 km",null,null,"7 T3 / 3 T4","≈",{"$f":"7*F8/(3*F9)","v":1.0002959630543515},"(bez. auf Jupiter)","ωP ="," - (ω1 - 2ω2) = ",-1.291E-2,"d-1 ",{"$f":"2*PI()/$N$8","v":7.0509029568395976},"d ",null,{"$f":"Q9+1/4","v":0.875},{"$f":"Q10*$N$10*$N$6+PI()-6*PI()","v":6.283139287114615},1.9999853513583568,null,{"$f":"U9+$U$5","v":2},{"$f":"U10*$N$10*$N$7-6*PI()","v":6.2831372847384053},1.9999847139822133,{"$f":"5*1/6","v":0.83333333333333337},{"$f":"X10*$N$10*$N$8","v":5.2359877559829888},1.6666666666666667]
[9,null,"Mondradien:",null,null,"R1   = ",1821,"km,     R2 =",1565,"km,","    R3  =",2634,"km",null,null,null,{"$f":"Q10","v":0.875},{"$f":"0","v":0},0,null,{"$f":"U10","v":2},{"$f":"0","v":0},0,{"$f":"7*1/6","v":1.1666666666666667},{"$f":"X11*$N$10*$N$8-2*PI()","v":1.0471975511965983},0.33333333333333354]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q11+1/4","v":1.125},{"$f":"Q12*$N$10*$N$6+PI()-8*PI()","v":6.2831261385246258},1.9999811660321738,null,0,0,0,null,"Konj. 1, 3 "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q12","v":1.125},{"$f":"0","v":0},0,null,1,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q13+1/4","v":1.375},{"$f":"Q14*$N$10*$N$6+PI()-10*PI()","v":6.2831129899346294},1.9999769807059886,null,"Konj. 2, 3 "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q14","v":1.375},{"$f":"0","v":0},0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q15+1/4","v":1.625},{"$f":"Q16*$N$10*$N$6+PI()-12*PI()","v":6.2830998413446366},1.9999727953798045,null,"Für Diagramm 2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q16","v":1.625},{"$f":"0","v":0},0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q17+1/4","v":1.875},{"$f":"Q18*$N$10*$N$6+PI()-14*PI()","v":6.2830866927546438},1.9999686100536205,null,"(drehendes ","System)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q18","v":1.875},{"$f":"0","v":0},0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"1/4","v":0.25},{"$f":"Q20*$N$10*$N$6+PI()-2*PI()","v":3.1415795049998003},0.99999581467381593,null,"Konj. 1, 2 "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"3*1/4","v":0.75},{"$f":"Q21*$N$10*$N$6+PI()-6*PI()","v":3.1415532078198183},0.9999874440214489]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"5*1/4","v":1.25},{"$f":"Q22*$N$10*$N$6+PI()-10*PI()","v":3.1415269106398327},0.99997907336908076]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,"Linien x = 5 / 6  und  y = 5 / 3",null,null,null,"Linien x = 1 / 6  und  y = 1 / 3",null,null,null,null,null,"Linie x = 1 (Trep)"]
[null,null,null,null,{"$f":"5/6","v":0.83333333333333337},0,null,{"$f":"1/6","v":0.16666666666666666},0,null,null,null,null,1,0]
[null,null,null,null,{"$f":"5/6","v":0.83333333333333337},{"$f":"5/3","v":1.6666666666666667},null,{"$f":"1/6","v":0.16666666666666666},{"$f":"1/3","v":0.33333333333333331},null,null,null,null,1,2]
[null,null,null,null,0,{"$f":"5/3","v":1.6666666666666667},null,0,{"$f":"1/3","v":0.33333333333333331}]