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["Name","Value","Description"]
["dr_",{"$f":"PI()/180","v":1.7453292519943295E-2},"conversion factor from degrees to radians"]
["rd_",{"$f":"180/PI()","v":57.295779513082323},"conversion factor from radians to degrees"]
["pi_",3.1415926535897931]

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["Duration","Rmoon",null,"b",null,"Change only numbers in the yellow fields.\nMove the slider below the chart.",null,null,null,null,null,null,null,null,null,null,null,null,null,"Xmoon",{"$f":"(Y1-240)/100","v":-1.55},"Slider position",null,null,85,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Example using n=100 (red dot)"]
["min",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ymoon",0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"sum","sum"]
[180,0.95,0.75,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"rad","deg",null,"rad","deg",null,"ang","Xmoo","Ymoo","Xsun","Ysun","Xsun","Ysun",null,null,null,null,"Sun disk",null,"Moon disk",null,"r","c","bSun",null,{"$f":"SUM(AT4:AT104)","v":38.894887858451483},{"$f":"SUM(AU4:AU104)","v":3.4015361676194513}]
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[12,-1.3,-1.6900000000000002,"","",0.5372695367850624,0.50773877545895574,0.81615384615384634,0.87384615384615394,0.48620252920802848,0.48488575694851876,0.39681606422286025,8.806969272565851E-2,0.50773877545895574,0.42486621013870801,8.2872565320247726E-2,2.970650395543887,5.4412610702592445,4.2324509863369011,"Point B",0,0,null,0,0,null,28,-0.71119978678401941,0.44599798464659623,0.88294759285892699,0.46947156278589081,0.66221069464419524,0.35210367208941812,null,null,null,null,null,null,null,null,0.85499999999999987,"-",32.675957063053843,0.67908533180108555,0.58061795868992805,0.10540137493438922]
[13,-1.2833333333333334,-1.6683333333333334,"","",0.55989390871911571,0.52885082710886366,0.80494588744588758,0.8633874458874462,0.50454149312415586,0.50530425261900191,0.40612859993609685,9.9175652682905069E-2,0.52885082710886366,0.4356147910927034,9.3236036016160262E-2,2.9491809648907279,6.1246542730230402,4.8431596495506337,"BC=a",0,0,null,0,0,null,30,-0.72727586640478326,0.47499999999999992,0.86602540378443871,0.49999999999999994,0.649519052838329,0.37499999999999994,-3.5,{"$f":"AI16+0.25","v":0},{"$f":"AJ16+10","v":50},{"$f":"AK16+0.5","v":2.5},{"$f":"COS(AK19)","v":-0.8011436155469337},{"$f":"SIN(AK19)","v":0.59847214410395655},{"$f":"$U$1+Rmoo_*COS(AK19*dr_)","v":-0.60090418949723523},{"$f":"Rmoo_*SIN(AK19*dr_)","v":4.1438417997069196E-2},0.84499999999999986,"-",32.305663581627371,0.68984420273285119,0.58291835130925918,0.10461980084974334]
[14,-1.2666666666666666,-1.6466666666666665,"","",0.58174835467864028,0.5492072843671052,0.79372807017543845,0.85293859649122816,0.52201125525756054,0.52502789009747286,0.41433498624544174,0.11069290385203112,0.5492072843671052,0.44524354741200795,0.10396373695509725,2.9269360127826647,6.8327330903911871,5.4871993662202199,null,{"$f":"(U21+U19)/2","v":-0.40322580645161288},{"$f":"(V21+V19)/2","v":0.29565004483586055},null,{"$f":"(X21+X19)/2","v":-0.33266129032258063},{"$f":"(Y21+Y19)/2","v":0.17309380670871979},null,32,-0.7443543086513954,0.50342330102154464,0.84804809615642596,0.5299192642332049,0.6360360721173195,0.39743944817490368,3.5,{"$f":"AI17+0.25","v":0},{"$f":"AJ19","v":50},null,0,0,{"$f":"$U$1","v":-1.55},0,0.83499999999999985,"-",31.914163962419675,0.70016662880508684,0.58463913505224741,0.10365705119391468]
[15,-1.25,-1.625,"","",0.60291846950859285,0.56888897523113569,0.78249999999999997,0.84250000000000003,0.53869634303566605,0.54413391873150507,0.42152988842540867,0.1226040303060964,0.56888897523113569,0.45385166900754864,0.11503730622358704,2.9039513170601099,7.5643586783327379,6.1633186712789794,"Point C",{"$f":"MIN(1,$U$1+$U$8)","v":-0.80645161290322576},{"$f":"$U$10","v":0.5913000896717211},"Point D",{"$f":"MIN(C3,$U$1+$X$8)","v":-0.66532258064516125},{"$f":"$X$10","v":0.34618761341743959},null,34,-0.76241430607271055,0.53123325829720958,0.82903757255504162,0.5591929034707469,0.62177817941628122,0.41939467760306015,null,null,null,null,null,null,null,null,0.82499999999999984,"-",31.500095200651366,0.71008848518191081,0.58582300027507628,0.10251933488553397]
[16,-1.2333333333333334,-1.6033333333333335,"","",0.62347583972214649,0.58796334202274469,0.77126126126126138,0.83207207207207223,0.55466752823442633,0.56268694534923724,0.42779357740674995,0.1348933679424873,0.58796334202274469,0.46152335952911377,0.12643998249363092,2.8802593031536752,8.318498903334941,6.8706541834592718,null,null,null,null,null,null,null,36,-0.78143385534380005,0.55839598967784942,0.80901699437494745,0.58778525229247314,0.60676274578121059,0.44083893921935485,-3.5,{"$f":"AI19+0.25","v":0.25},{"$f":"AJ19+10","v":60},{"$f":"AK19+0.5","v":3},{"$f":"COS(AK22)","v":-0.98999249660044542},{"$f":"SIN(AK22)","v":0.14112000805986721},{"$f":"$U$1+Rmoo_*COS(AK22*dr_)","v":-0.6013019419831549},{"$f":"Rmoo_*SIN(AK22*dr_)","v":4.9719158430796641E-2},0.81499999999999984,"-",31.061948856458589,0.71964063760460062,0.58650711964774938,0.10121141196915127]
[17,-1.2166666666666666,-1.5816666666666663,"","",0.64348108128884041,0.60648733027154755,0.76001141552511386,0.82165525114155236,0.56998477898230981,0.58074167586317849,0.43319493870211445,0.14754673716106403,0.60648733027154755,0.46833098672157197,0.13815634354997558,2.8558895728787537,9.0942115103489414,7.6086808451094292,null,null,null,null,null,null,null,38,-0.80138978407361428,0.58487840155937532,0.7880107536067219,0.61566147532565829,0.59100806520504146,0.46174610649424375,3.5,{"$f":"AI20+0.25","v":0.25},{"$f":"AJ22","v":60},null,0,0,{"$f":"$U$1","v":-1.55},0,0.80499999999999983,"-",30.59804823503034,0.72884987323189865,0.58672414795167827,9.9736743220458501E-2]
[18,-1.2,-1.5599999999999998,"","",0.66298608237718459,0.62450952078192445,0.7487499999999998,0.81125000000000003,0.58469944202128343,0.59834493934540911,0.43779370721343586,0.16055123213197325,0.62450952078192445,0.47433742233976622,0.15017209844215823,2.8308693230156616,9.8906307989700082,8.3762523673184948,null,null,null,null,null,null,null,40,-0.82225777903697095,0.61064822920221229,0.76604444311897801,0.64278760968653925,0.57453333233923354,0.48209070726490444,null,null,null,null,null,null,null,null,0.79499999999999982,"-",30.106520650725869,0.73773961968957258,0.58650299765321001,9.8097581169772186E-2]
[19,-1.1833333333333333,-1.5383333333333336,"","",0.68203569159982325,0.64207173371180926,0.73747652582159628,0.80085680751173738,0.59885588739037054,0.61553721166884046,0.44164215930045958,0.17389505236838088,0.64207173371180926,0.47959781413506064,0.16247391957674862,2.8052236816446641,10.706956917561271,9.1726020031631617,null,null,null,null,null,null,null,42,-0.84401241579647557,0.6356740760409153,0.74314482547739424,0.66913060635885824,0.55735861910804574,0.50184795476914368,-3.5,{"$f":"AI22+0.25","v":0.5},{"$f":"AJ22+10","v":70},{"$f":"AK22+0.5","v":3.5},{"$f":"COS(AK25)","v":-0.93645668729079634},{"$f":"SIN(AK25)","v":-0.35078322768961984},{"$f":"$U$1+Rmoo_*COS(AK25*dr_)","v":-0.60177194149922653},{"$f":"Rmoo_*SIN(AK25*dr_)","v":5.799611255811403E-2},0.78499999999999981,"-",29.585263396702686,0.74633050846491555,0.58586944914495853,9.6295010939081715E-2]
[20,-1.1666666666666667,-1.5166666666666666,"","",0.70066901079242483,0.65921025594884142,0.72619047619047628,0.79047619047619055,0.61249276917384854,0.63235378224016336,0.44478641570958055,0.18756736653058281,0.65921025594884131,0.4841609508707565,0.1750493050780848,2.7789759819811257,11.542447146809991,9.9972879904739216,null,null,null,null,null,null,null,44,-0.86662718967828145,0.65992545193604735,0.71933980033865119,0.69465837045899725,0.53950485025398842,0.52099377784424794,3.5,{"$f":"AI23+0.25","v":0.5},{"$f":"AJ25","v":70},null,0,0,{"$f":"$U$1","v":-1.55},0,0.7749999999999998,"-",29.031901556058283,0.75464082199215143,0.58484663704391726,9.4328944400281972E-2]
[21,-1.1499999999999999,-1.4949999999999999,"","",0.71892040014384961,0.67595679434734923,0.71489130434782611,0.78010869565217411,0.62564400657871244,0.6488256611298242,0.44726745992045563,0.20155820120936857,0.67595679434734923,0.4880703299147196,0.18788646443262963,2.752147987947795,12.396408719538883,10.849230373712789,null,null,null,null,null,null,null,46,-0.8900745480639527,0.68337281032171848,0.69465837045899725,0.71933980033865108,0.52099377784424794,0.53950485025398831,null,null,null,null,null,null,null,null,0.76499999999999979,"-",28.443735095212382,0.76268685252753377,0.58345544218356316,9.2198066874051521E-2]
[22,-1.1333333333333333,-1.4733333333333332,"","",0.73682027041863918,0.69233922591839658,0.70357843137254905,0.76975490196078433,0.63833955768645834,0.66498029405282177,0.44912194468008515,0.21585834937273662,0.69233922591839658,0.49136500364463015,0.20097422227376643,2.7247600819432898,13.268192843849519,11.727723372957067,"Point C'",{"$f":"U21","v":-0.80645161290322576},{"$f":"-$U$10","v":-0.5913000896717211},"Point D'",{"$f":"X21","v":-0.66532258064516125},{"$f":"-$X$10","v":-0.34618761341743959},null,48,-0.91432592395908474,0.70598758420352448,0.66913060635885824,0.74314482547739424,0.50184795476914368,0.55735861910804574,-3.5,{"$f":"AI25+0.25","v":0.75},{"$f":"AJ25+10","v":80},{"$f":"AK25+0.5","v":4},{"$f":"COS(AK28)","v":-0.65364362086361194},{"$f":"SIN(AK28)","v":-0.7568024953079282},{"$f":"$U$1+Rmoo_*COS(AK28*dr_)","v":-0.60231415225316709},{"$f":"Rmoo_*SIN(AK28*dr_)","v":6.6268650056919037E-2},0.75499999999999978,"-",27.81767166587812,0.77048319322122139,0.58171481088202193,8.9899731179413717E-2]
[23,-1.1166666666666667,-1.4516666666666667,"","",0.75439571512134851,0.70838219523278556,0.69225124378109448,0.75941542288557229,0.65060603707891274,0.680842132897017,0.45038283837936621,0.23045929451765079,0.70838219523278545,0.49408025878018885,0.2143019364525966,2.6968314226195456,14.157189680910207,12.632375363709533,"sector A C' C",null,{"$f":"Rmoo_^2*pi_*(2*U6)/(2*pi_)","v":0.60632865856400875},null,null,null,null,50,-0.93935177079778764,0.7277422209630291,0.64278760968653936,0.76604444311897801,0.48209070726490455,0.57453333233923354,3.5,{"$f":"AI26+0.25","v":0.75},{"$f":"AJ28","v":80},null,0,0,{"$f":"$U$1","v":-1.55},0,0.74499999999999977,"-",27.150140031066282,0.77804297643393772,0.57964201744328347,8.74297885637495E-2]
[24,-1.1000000000000001,-1.43,"","",0.77167102064393478,0.72410759520220047,0.68090909090909091,0.74909090909090903,0.66246721422071553,0.69643309613115112,0.45107994859210537,0.24535314753904575,0.72410759520220047,0.49624816774351777,0.22785942745868271,2.6683800785920648,15.062824088826545,13.562152739433866,"triangle A C' C",null,{"$f":"U8*U10","v":0.43966022796558624},null,null,null,null,52,-0.96512159844062473,0.74861021592638588,0.61566147532565829,0.78801075360672201,0.46174610649424375,0.59100806520504157,null,null,null,null,null,null,null,null,0.73499999999999976,"-",26.436976727456464,0.78537807054907027,0.57725288185356649,8.4782338907888402E-2]
[25,-1.0833333333333333,-1.4083333333333332,"","",0.78866808222251084,0.73953495767820798,0.66955128205128212,0.73878205128205121,0.67394441959518048,0.71177294420581605,0.4512403501712603,0.26053259403455575,0.73953495767820809,0.49789804075861888,0.24163691691958922,2.639423142635648,15.984551987678373,14.516389981337866,"segment C' F C",null,{"$f":"V29-V30","v":0.16666843059842251},null,null,null,null,54,-0.99160401032215062,0.76856614465619999,0.58778525229247314,0.80901699437494745,0.44083893921935485,0.60676274578121059,-3.5,{"$f":"AI28+0.25","v":1},{"$f":"AJ28+10","v":90},{"$f":"AK28+0.5","v":4.5},{"$f":"COS(AK31)","v":-0.2107957994307797},{"$f":"SIN(AK31)","v":-0.97753011766509701},{"$f":"$U$1+Rmoo_*COS(AK31*dr_)","v":-0.60292853295352855},{"$f":"Rmoo_*SIN(AK31*dr_)","v":7.4536140941452694E-2},0.72499999999999976,"-",25.673274973276133,0.79249924379853054,0.57456195175393443,8.194937209200541E-2]
[26,-1.0666666666666667,-1.3866666666666667,"","",0.80540674635793352,0.75468177347788568,0.65817708333333336,0.72848958333333347,0.68505687864207754,0.72687958858803503,0.45088873830207993,0.2759908502859551,0.75468177347788568,0.49905680008160108,0.25562497339628459,2.6099768299075534,16.92185723297959,15.494724167337006,"sector B C C'",null,{"$f":"1^2*pi_*(2*U7)/(2*pi_)","v":0.63267000101853177},null,null,null,null,56,-1.0187667417027906,0.78758569392728961,0.55919290347074679,0.82903757255504174,0.4193946776030601,0.62177817941628133,3.5,{"$f":"AI29+0.25","v":1},{"$f":"AJ31","v":90},null,0,0,{"$f":"$U$1","v":-1.55},0,0.71499999999999975,"-",24.853179025081531,0.79941630162689103,0.57158265566322686,7.8920255937942815E-2]
[27,-1.05,-1.365,"","",0.82190509523826849,0.76956375656867604,0.6467857142857143,0.71821428571428569,0.69582198858322819,0.74176934845253728,0.45004772190150938,0.2917216265510279,0.76956375656867593,0.4997492925145971,0.26981446405407883,2.5800565629846863,17.874248908860238,16.496157314564179,"triangle B C C'",null,{"$f":"COS(U7)*U10","v":0.47685491102558164},null,null,null,null,58,-1.0465766989784555,0.80564569134860464,0.5299192642332049,0.84804809615642596,0.39743944817490368,0.6360360721173195,null,null,null,null,null,null,null,null,0.70499999999999974,"-",23.969597511509317,0.80613820264460079,0.56832743286444332,7.5680999002833552E-2]
[28,-1.0333333333333334,-1.3433333333333335,"","",0.83817968499767148,0.78419506361237978,0.63537634408602184,0.70795698924731187,0.70625554962483761,0.75645716571039856,0.44873806911109332,0.30771909659930524,0.78419506361237978,0.49999855255160552,0.28419651106077426,2.5496770459297138,18.841258970468914,17.520051007355473,"segment C G C'",null,{"$f":"V32-V33","v":0.15581508999295013},null,null,null,null,60,-1.075,0.82272413359521668,0.50000000000000011,0.8660254037844386,0.37500000000000011,0.649519052838329,-3.5,{"$f":"AI31+0.25","v":1.25},{"$f":"AJ31+10","v":100},{"$f":"AK31+0.5","v":5},{"$f":"COS(AK34)","v":0.28366218546322625},{"$f":"SIN(AK34)","v":-0.95892427466313845},{"$f":"$U$1+Rmoo_*COS(AK34*dr_)","v":-0.60361503681284179},{"$f":"Rmoo_*SIN(AK34*dr_)","v":8.2797955610275253E-2},0.69499999999999973,"-",23.013792507739069,0.81267315711878396,0.56480784419755459,7.2213169628366325E-2]
[29,-1.0166666666666666,-1.3216666666666665,"","",0.85424574692981325,0.79858847747366857,0.62394808743169405,0.69771857923497271,0.71637195938306464,0.77095678660415634,0.44697891394675837,0.32397787265739797,0.79858847747366857,0.49982602570452545,0.29876245176914312,2.5188523291632521,19.822440179026913,18.566055468810884,"Sun free",null,{"$f":"IF(OR(U4=1,U5=1),IF(U4=1,0,1^2*pi_-Rmoo_^2*pi_),IF(Rmoo_>=1,1^2*pi_-V31-V34,1^2*pi_-V31-V34))","v":2.8191091329984208},null,null,null,null,62,-1.1040020153534038,0.83880021321598053,0.46947156278589086,0.88294759285892688,0.35210367208941817,0.66221069464419513,3.5,{"$f":"AI32+0.25","v":1.25},{"$f":"AJ34","v":100},null,0,0,{"$f":"$U$1","v":-1.55},0,0.68499999999999972,"-",21.974770712908928,0.81902871111656916,0.56103466711484962,6.8492267621344485E-2]
[30,-1,-1.3,"","",0.87011735875743468,0.81275556136866023,0.61250000000000004,0.68750000000000033,0.72618437741389052,0.78528091627858476,0.44478793116600795,0.34049298511257681,0.81275556136866023,0.49925175947204997,0.31350380189661026,2.4875958665806062,20.817364283745903,19.63320277605348,"Sun obsc. %",null,{"$f":"100-V35/pi_*100","v":10.264969273558791},null,null,null,null,64,{"$f":"$U$1+Rmoo_*COS(AA36*dr_)","v":-1.1335474105503764},{"$f":"Rmoo_*SIN(AA36*dr_)","v":0.85385434398420867},0.43837114678907746,0.89879404629916704,{"$f":"AD36*$C$3","v":0.32877836009180811},{"$f":"AE36*$C$3","v":0.67409553472437533},null,null,null,null,null,null,null,null,0.67499999999999971,{"$f":"IF(AND(Xmoon_+Rmoo_>=AP36,Xmoon_-Rmoo_<=-AP36),1,\"-\")","v":"-"},{"$f":"rd_*(IFERROR(ACOS((Xmoon_^2+AP36^2-Rmoo_^2)/(2*ABS(Xmoon_)*AP36)),0))","v":20.838344895538661},{"$f":"(1+$D$3*SQRT(1-AP36^2))/(1+$D$3)","v":0.82521181877912364},{"$f":"AS36*AP36","v":0.55701797767590822},6.4485181843477943E-2]
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[36,-0.9,-1.17,"","",0.96193981911047244,0.89352792223050137,0.54333333333333345,0.62666666666666682,0.77928742379746441,0.86815068674720131,0.42341283359662241,0.4447378531505789,0.89352792223050137,0.48835345224641113,0.40517446998409024,2.2916803304551241,27.05354948431976,26.446774532664012,null,null,null,null,null,null,null,76,-1.3201741991803158,0.92178093996219657,0.24192189559966767,0.97029572627599647,0.18144142169975075,0.72772179470699738,null,null,null,null,null,null,null,null,0.61499999999999966,"-",9.8800409290769693,0.8590180719785071,0.52829611426678158,2.8997706842378474E-2]
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[39,-0.85,-1.105,"","",1.0061236677571916,0.9315164895495055,0.50838235294117651,0.5966176470588237,0.80252562776399428,0.90802661015086539,0.40798986693825418,0.50003674321261116,0.9315164895495055,0.47880095174095966,0.45271553780854584,2.1888403725686363,30.327047013319145,30.089194883221481,null,null,null,null,null,null,null,82,-1.4177855540879378,0.94075466530449181,0.13917310096006547,0.99026806874157036,0.1043798257200491,0.74270105155617783,null,null,null,null,null,null,null,null,{"$f":"AP44-0.01","v":0.58499999999999963},"-",0,0.8740221943656693,0.51130298370391625,0]
[40,-0.83333333333333337,-1.0833333333333333,"","",1.020655810281065,0.94385975061421701,0.49666666666666659,0.58666666666666656,0.80982851408321133,0.92114186877866111,0.40221482866132824,0.51892704011733293,0.94385975061421712,0.4750993949288172,0.46876035568539992,2.1539052577870601,31.439066254313246,31.334000677726547,null,null,null,null,null,null,null,84,-1.4506979598957292,0.94479580059985957,0.10452846326765346,0.99452189536827329,7.8396347450740089E-2,0.74589142152620491,null,null,null,{"$f":"AK43+0.5","v":7},{"$f":"COS(AK46)","v":0.7539022543433046},{"$f":"SIN(AK46)","v":0.65698659871878906},{"$f":"$U$1+Rmoo_*COS(AK46*dr_)","v":-0.60708115594074419},{"$f":"Rmoo_*SIN(AK46*dr_)","v":0.11577587623489009},0.57499999999999962,"-",0,0.87876893906511933,0.50529213996244327,0]
[41,-0.81666666666666665,-1.0616666666666665,"","",1.0351036487037106,0.95604952199161386,0.48491496598639461,0.57675170068027204,0.81691950384503231,0.93418104295509885,0.39613649342063623,0.53804454953446257,0.95604952199161386,0.4711597131615064,0.48488980883010746,2.1186582952252229,32.561011918451527,32.593272992807428,null,null,null,null,null,null,null,86,-1.4837313499430811,0.94768584774683295,6.9756473744125233E-2,0.9975640502598242,5.2317355308093921E-2,0.74817303769486809,null,null,null,null,0,0,{"$f":"$U$1","v":-1.55},0,0.56499999999999961,"-",0,0.88339393605513061,0.49911757387114847,0]
[42,-0.8,-1.04,"","",1.0494750700022242,0.96808882348321434,0.47312500000000018,0.56687500000000013,0.82380382032071175,0.94715125067700734,0.38976218248923689,0.55738906818777045,0.96808882348321446,0.46699379064430357,0.50109503283891088,2.0831085525631114,33.692595372515498,33.866167760175202,null,null,null,null,null,null,null,88,-1.5168454781326239,0.94942128566814088,3.489949670250108E-2,0.99939082701909576,2.6174622526875808E-2,0.74954312026432179,null,null,null,null,null,null,null,null,0.5549999999999996,"-",0,0.88790023141186525,0.49278462843358484,0]
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[45,-0.75,-0.97499999999999998,"","",1.0922082851145045,1.0033266997205752,0.43749999999999989,0.53750000000000009,0.8432637487761464,0.98571797731584032,0.36892789008956395,0.61679008722627637,1.0033266997205752,0.45325426496717874,0.55007243475339651,1.9747301316101202,37.142387656348063,37.760766127822478,null,null,null,null,null,null,null,94,-1.6162686500569192,0.94768584774683295,-6.975647374412533E-2,0.9975640502598242,-5.2317355308093998E-2,0.74817303769486809,null,null,null,null,null,null,null,null,0.52499999999999958,"-",0,0.90073481768497354,0.47288577928461073,0]
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{"sheet":"Eclipse_Dimming(ED2)","index":2,"n_rows":2162,"n_cols":47,"rows_kept":2162,"cut":false,"hidden":false,"merged":[[37,19,37,20],[38,19,38,20],[32,19,32,20],[32,22,32,23],[33,19,33,20],[33,22,33,23],[34,19,34,20],[35,19,35,20],[29,19,29,20],[29,22,29,23],[30,19,30,20],[30,22,30,23],[31,19,31,20],[31,22,31,23],[28,19,28,20],[28,22,28,23],[0,5,3,17],[0,21,0,23],[0,41,0,46],[2,37,2,38],[2,39,2,40]]}
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[20,-1.1666666666666667,-1.5166666666666666,"","",0.70066901079242483,0.65921025594884142,0.72619047619047628,0.79047619047619055,0.61249276917384854,0.63235378224016336,0.44478641570958055,0.18756736653058281,0.65921025594884131,0.4841609508707565,0.1750493050780848,2.7789759819811257,11.542447146809991,9.7551852979788176,null,null,null,null,null,null,null,44,-0.39662718967828148,0.65992545193604735,0.71933980033865119,0.69465837045899725,0.53950485025398842,0.52099377784424794,3.5,{"$f":"AI23+0.25","v":0.5},{"$f":"AJ25","v":70},null,0,0,{"$f":"$U$1","v":-1.08},0,0.7749999999999998,"-",58.906067285586772,0.73880471073064957,0.57257365081625322,0.18737812222742375]
[21,-1.1499999999999999,-1.4949999999999999,"","",0.71892040014384961,0.67595679434734923,0.71489130434782611,0.78010869565217411,0.62564400657871244,0.6488256611298242,0.44726745992045563,0.20155820120936857,0.67595679434734923,0.4880703299147196,0.18788646443262963,2.752147987947795,12.396408719538883,10.610074062362218,null,null,null,null,null,null,null,46,-0.42007454806395272,0.68337281032171848,0.69465837045899725,0.71933980033865108,0.52099377784424794,0.53950485025398831,null,null,null,null,null,null,null,null,0.76499999999999979,"-",59.077794830842734,0.74778354270492198,0.57205441016926517,0.18775396153365892]
[22,-1.1333333333333333,-1.4733333333333332,"","",0.73682027041863918,0.69233922591839658,0.70357843137254905,0.76975490196078433,0.63833955768645834,0.66498029405282177,0.44912194468008515,0.21585834937273662,0.69233922591839658,0.49136500364463015,0.20097422227376643,2.7247600819432898,13.268192843849519,11.492727320551502,"Point C'",{"$f":"U21","v":-0.58513888888888888},{"$f":"-$U$10","v":-0.81093309262224367},"Point D'",{"$f":"X21","v":-0.3825925925925926},{"$f":"-$X$10","v":-0.64507589328177373},null,48,-0.44432592395908477,0.70598758420352448,0.66913060635885824,0.74314482547739424,0.50184795476914368,0.55735861910804574,-3.5,{"$f":"AI25+0.25","v":0.75},{"$f":"AJ25+10","v":80},{"$f":"AK25+0.5","v":4},{"$f":"COS(AK28)","v":-0.65364362086361194},{"$f":"SIN(AK28)","v":-0.7568024953079282},{"$f":"$U$1+Rmoo_*COS(AK28*dr_)","v":-0.13231415225316712},{"$f":"Rmoo_*SIN(AK28*dr_)","v":6.6268650056919037E-2},0.75499999999999978,"-",59.245575115445597,0.75645168600711254,0.57112102293536982,0.18797996369070877]
[23,-1.1166666666666667,-1.4516666666666667,"","",0.75439571512134851,0.70838219523278556,0.69225124378109448,0.75941542288557229,0.65060603707891274,0.680842132897017,0.45038283837936621,0.23045929451765079,0.70838219523278545,0.49408025878018885,0.2143019364525966,2.6968314226195456,14.157189680910207,12.402715200714153,"sector A C' C",null,{"$f":"Rmoo_^2*pi_*(2*U6)/(2*pi_)","v":0.92315266815600816},null,null,null,null,50,-0.46935177079778767,0.7277422209630291,0.64278760968653936,0.76604444311897801,0.48209070726490455,0.57453333233923354,3.5,{"$f":"AI26+0.25","v":0.75},{"$f":"AJ28","v":80},null,0,0,{"$f":"$U$1","v":-1.08},0,0.74499999999999977,"-",59.409283913813013,0.76482733864411157,0.56979636728986294,0.18806218976323746]
[24,-1.1000000000000001,-1.43,"","",0.77167102064393478,0.72410759520220047,0.68090909090909091,0.74909090909090903,0.66246721422071553,0.69643309613115112,0.45107994859210537,0.24535314753904575,0.72410759520220047,0.49624816774351777,0.22785942745868271,2.6683800785920648,15.062824088826545,13.33895171416977,"triangle A C' C",null,{"$f":"U8*U10","v":0.40129925125181309},null,null,null,null,52,-0.49512159844062475,0.74861021592638588,0.61566147532565829,0.78801075360672201,0.46174610649424375,0.59100806520504157,null,null,null,null,null,null,null,null,0.73499999999999976,"-",59.568789187242416,0.77292687334865418,0.5681012519112606,0.18800613173394656]
[25,-1.0833333333333333,-1.4083333333333332,"","",0.78866808222251084,0.73953495767820798,0.66955128205128212,0.73878205128205121,0.67394441959518048,0.71177294420581605,0.4512403501712603,0.26053259403455575,0.73953495767820809,0.49789804075861888,0.24163691691958922,2.639423142635648,15.984551987678373,14.300728216565336,"segment C' F C",null,{"$f":"V29-V30","v":0.52185341690419507},null,null,null,null,54,-0.52160401032215065,0.76856614465619999,0.58778525229247314,0.80901699437494745,0.44083893921935485,0.60676274578121059,-3.5,{"$f":"AI28+0.25","v":1},{"$f":"AJ28+10","v":90},{"$f":"AK28+0.5","v":4.5},{"$f":"COS(AK31)","v":-0.2107957994307797},{"$f":"SIN(AK31)","v":-0.97753011766509701},{"$f":"$U$1+Rmoo_*COS(AK31*dr_)","v":-0.13292853295352858},{"$f":"Rmoo_*SIN(AK31*dr_)","v":7.4536140941452694E-2},0.72499999999999976,"-",59.7239505475576,0.78076508117960264,0.56605468385521174,0.18781678858767789]
[26,-1.0666666666666667,-1.3866666666666667,"","",0.80540674635793352,0.75468177347788568,0.65817708333333336,0.72848958333333347,0.68505687864207754,0.72687958858803503,0.45088873830207993,0.2759908502859551,0.75468177347788568,0.49905680008160108,0.25562497339628459,2.6099768299075534,16.92185723297959,15.287647153192117,"sector B C C'",null,{"$f":"1^2*pi_*(2*U7)/(2*pi_)","v":0.9457450091481735},null,null,null,null,56,-0.54876674170279061,0.78758569392728961,0.55919290347074679,0.82903757255504174,0.4193946776030601,0.62177817941628133,3.5,{"$f":"AI29+0.25","v":1},{"$f":"AJ31","v":90},null,0,0,{"$f":"$U$1","v":-1.08},0,0.71499999999999975,"-",59.874618673299338,0.78835537491671404,0.56367409306545035,0.18749872987950936]
[27,-1.05,-1.365,"","",0.82190509523826849,0.76956375656867604,0.6467857142857143,0.71821428571428569,0.69582198858322819,0.74176934845253728,0.45004772190150938,0.2917216265510279,0.76956375656867593,0.4997492925145971,0.26981446405407883,2.5800565629846863,17.874248908860238,16.298661137991623,"triangle B C C'",null,{"$f":"COS(U7)*U10","v":0.47450848878021024},null,null,null,null,58,-0.57657669897845543,0.80564569134860464,0.5299192642332049,0.84804809615642596,0.39743944817490368,0.6360360721173195,null,null,null,null,null,null,null,null,0.70499999999999974,"-",60.020634673562675,0.79570996005691774,0.56097552184012678,0.18705614920654129]
[28,-1.0333333333333334,-1.3433333333333335,"","",0.83817968499767148,0.78419506361237978,0.63537634408602184,0.70795698924731187,0.70625554962483761,0.75645716571039856,0.44873806911109332,0.30771909659930524,0.78419506361237978,0.49999855255160552,0.28419651106077426,2.5496770459297138,18.841258970468914,17.333092010901016,"segment C G C'",null,{"$f":"V32-V33","v":0.47123652036796326},null,null,null,null,60,-0.60499999999999998,0.82272413359521668,0.50000000000000011,0.8660254037844386,0.37500000000000011,0.649519052838329,-3.5,{"$f":"AI31+0.25","v":1.25},{"$f":"AJ31+10","v":100},{"$f":"AK31+0.5","v":5},{"$f":"COS(AK34)","v":0.28366218546322625},{"$f":"SIN(AK34)","v":-0.95892427466313845},{"$f":"$U$1+Rmoo_*COS(AK34*dr_)","v":-0.13361503681284181},{"$f":"Rmoo_*SIN(AK34*dr_)","v":8.2797955610275253E-2},0.69499999999999973,"-",60.161829393987858,0.80283997949099428,0.55797378574624079,0.18649290946879377]
[29,-1.0166666666666666,-1.3216666666666665,"","",0.85424574692981325,0.79858847747366857,0.62394808743169405,0.69771857923497271,0.71637195938306464,0.77095678660415634,0.44697891394675837,0.32397787265739797,0.79858847747366857,0.49982602570452545,0.29876245176914312,2.5188523291632521,19.822440179026913,18.390558620776012,"Sun free",null,{"$f":"IF(OR(U4=1,U5=1),IF(U4=1,0,1^2*pi_-Rmoo_^2*pi_),IF(Rmoo_>=1,1^2*pi_-V31-V34,1^2*pi_-V31-V34))","v":2.1485027163176351},null,null,null,null,62,-0.63400201535340384,0.83880021321598053,0.46947156278589086,0.88294759285892688,0.35210367208941817,0.66221069464419513,3.5,{"$f":"AI32+0.25","v":1.25},{"$f":"AJ34","v":100},null,0,0,{"$f":"$U$1","v":-1.08},0,0.68499999999999972,"-",60.298022658734709,0.80975563663782646,0.55468261109691086,0.18581258140182036]
[30,-1,-1.3,"","",0.87011735875743468,0.81275556136866023,0.61250000000000004,0.68750000000000033,0.72618437741389052,0.78528091627858476,0.44478793116600795,0.34049298511257681,0.81275556136866023,0.49925175947204997,0.31350380189661026,2.4875958665806062,20.817364283745903,19.47004669300404,"Sun obsc. %",null,{"$f":"100-V35/pi_*100","v":31.611034490336849},null,null,null,null,64,{"$f":"$U$1+Rmoo_*COS(AA36*dr_)","v":-0.66354741055037647},{"$f":"Rmoo_*SIN(AA36*dr_)","v":0.85385434398420867},0.43837114678907746,0.89879404629916704,{"$f":"AD36*$C$3","v":0.32877836009180811},0.67409553472437533,null,null,null,null,null,null,null,null,0.67499999999999971,{"$f":"IF(AND(Xmoon_+Rmoo_>=AP36,Xmoon_-Rmoo_<=-AP36),1,\"-\")","v":"-"},{"$f":"rd_*(IFERROR(ACOS((Xmoon_^2+AP36^2-Rmoo_^2)/(2*ABS(Xmoon_)*AP36)),0))","v":60.429022441497253},0.81646630082271576,0.55111475305533286,0.18501847655678291]
[31,-0.98333333333333328,-1.2783333333333331,"","",0.88580759154624578,0.82670678887656179,0.60103107344632756,0.67730225988700565,0.73570486524961565,0.79944135137048689,0.44218148490066228,0.35725986646982461,0.82670678887656179,0.49829456784342963,0.32841222103313217,2.455920566086836,21.825620413246853,20.570899225989614,"pt on curve",{"$f":"U1","v":-1.08},{"$f":"V36","v":31.611034490336849},null,null,null,null,66,-0.69360018907798993,0.86786818476047078,0.40673664307580021,0.91354545764260087,0.30505248230685017,0.68515909323195068,null,null,null,{"$f":"AK34+0.5","v":5.5},{"$f":"COS(AK37)","v":0.70866977429125999},{"$f":"SIN(AK37)","v":-0.70554032557039192},{"$f":"$U$1+Rmoo_*COS(AK37*dr_)","v":-0.13437361155118022},{"$f":"Rmoo_*SIN(AK37*dr_)","v":9.1053464894212774E-2},0.6649999999999997,"-",60.554623957729667,0.8229805979250735,0.54728209762017366,0.1841136756677062]
[32,-0.96666666666666667,{"$f":"(1+Rmoo_)*B38*2*60/$A$3","v":-1.2566666666666666},{"$f":"IF(Rmoo_>=1,IF((ABS(C38)<=(Rmoo_-1)),1,\"\"),\"\")","v":""},{"$f":"IF(Rmoo_<1,IF(ABS(C38)+Rmoo_<1,1,\"\"),\"\")","v":""},{"$f":"IF(Rmoo_>=1,IFERROR(ACOS((Rmoo_^2+C38^2-1^2)/(2*Rmoo_*ABS(C38))),0),\n                            IFERROR(ACOS((Rmoo_^2+C38^2-1^2)/(2*Rmoo_*ABS(C38))),0))","v":0.90132863670433583},{"$f":"IFERROR(ACOS((C38^2+1^2-Rmoo_^2)/(2*ABS(C38)*1)),0)","v":0.84045165393168675},{"$f":"Rmoo_*COS(F38)","v":0.5895402298850575},0.66712643678160932,0.74494450621980812,{"$f":"Rmoo_^2*pi_*(2*F38)/(2*pi_)","v":0.81344909462566317},0.43917475544843632,0.37427433917722686,0.84045165393168675,0.49697217403445598,0.34347947989723077,{"$f":"IF(OR(D38=1,E38=1),IF(D38=1,0,1^2*pi_-Rmoo_^2*pi_),IF(Rmoo_>=1,1^2*pi_-M38-P38,1^2*pi_-M38-P38))","v":2.4238388345153354},22.846813645757166,{"$f":"Eclipse_Dimming_2(C38,Rmoo_,2000,$D$3,$E$3)","v":21.692738253967875},"Ecl. dimming",null,{"$f":"1-AU3/AT3","v":0.68467438610683484},null,null,null,null,68,-0.7241237362548838,0.88082466183844799,0.37460659341591196,0.92718385456678742,0.28095494506193397,0.69538789092509057,null,null,null,null,0,0,{"$f":"$U$1","v":-1.08},0,0.65499999999999969,"-",60.674608669240961,0.82930648873067936,0.54319575011859478,0.18310105316244743]
[33,-0.95,-1.2349999999999999,"","",0.91669191663131222,0.85399876406236364,0.57802631578947361,0.65697368421052649,0.75391350847086414,0.82731445475975929,0.43578184772532969,0.3915326070344296,0.85399876406236352,0.49530133523618758,0.35869742882617595,2.3913626177291878,23.880563732645044,22.834580162088407,"Ecl.dimming %",null,{"$f":"100-V38*100","v":31.532561389316513},null,null,null,null,70,-0.75508086384061468,0.89270798974661281,0.34202014332566882,0.93969262078590832,0.2565151074942516,0.70476946558943121,null,null,null,null,null,null,null,null,0.64499999999999968,"-",60.788743191151035,0.83545133696241147,0.5388661123407551,0.18198329843053393]
[34,-0.93333333333333335,-1.2133333333333334,"","",0.93190818190575975,0.86735591948155055,0.56648809523809529,0.6468452380952382,0.76262129392871969,0.84104713416994814,0.43201588418569203,0.40903124998425611,0.86735591948155055,0.49329795244782132,0.37405796703372923,2.3585034365718078,24.92650395407486,23.995782066854535,"pt on curve",{"$f":"U1","v":-1.08},{"$f":"V39","v":31.532561389316513},null,null,null,null,72,-0.78643385534379995,0.9035036904803958,0.30901699437494745,0.95105651629515353,0.23176274578121059,0.71329238722136512,null,null,null,{"$f":"AK37+0.5","v":6},{"$f":"COS(AK40)","v":0.96017028665036597},{"$f":"SIN(AK40)","v":-0.27941549819892586},{"$f":"$U$1+Rmoo_*COS(AK40*dr_)","v":-0.1352041994001405},{"$f":"Rmoo_*SIN(AK40*dr_)","v":9.9302040104270795E-2},0.63499999999999968,"-",60.896778089857193,0.84142196859991603,0.53430295006094641,0.18076293434787499]
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[]
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{"sheet":"Solver","index":3,"n_rows":20,"n_cols":17,"rows_kept":20,"cut":false,"hidden":false,"merged":[[8,5,8,8],[8,9,8,12],[8,13,8,16],[9,9,9,12],[9,13,9,16],[7,5,7,8],[7,9,7,12],[7,13,7,16],[0,0,0,8],[1,0,1,8],[2,0,2,8],[3,0,3,8],[4,0,4,8],[5,0,5,8]]}
["Apparent diameter of the Moon (solar radii)",null,null,null,null,null,null,null,null,1.0306]
["Assumed time from C1 to C2",null,null,null,null,null,null,null,null,88]
["number of annuli (>1000 for higher accuracy)",null,null,null,null,null,null,null,null,5000]
["Parameter for formula ED  : b",null,null,null,null,null,null,null,null,2]
["Parameter for formula ED2: a",null,null,null,null,null,null,null,null,0.85]
["Parameter for formula ED2: b",null,null,null,null,null,null,null,null,0.8]
[null,null,null,null,null,null,null,null,"lsq fit",{"$f":"SUM(H11,L11,P11)","v":1.0711800987995141E-8}]
[null,null,null,null,null,"Eclipse obscuration method",null,null,null,"Eclipse_dimming method",null,null,null,"Eclipse_dimming_2 method"]
[null,null,null,null,null,"\"Two disks geometry\" only",null,null,null,"Limb darkening formula",null,null,null,"Limb darkening formula"]
[null,null,null,null,null,null,null,null,null,"(1+b*(1-r2)) / (1+b)",null,null,null,"1 - a(1 - ((1-r2)b)"]
["Body","Dist","1/r2","dimmed","M.Zeiler","Xmoon","Obscur.",{"$f":"SUM(H13:H19)","v":3.0142561864960523E-9},"time to C2","Xmoon","ED",{"$f":"SUM(L13:L19)","v":3.8627638404612481E-9},"time to C2","Xmoon","ED2",{"$f":"SUM(P13:P19)","v":3.8347809610378399E-9},"time to C2"]
["Earth",1.012,1,{"$f":"100*(1-C12)","v":0},null,{"$f":"1+$J$1","v":2.0305999999999997},{"$f":"Eclipse_Dimming(F12,$J$1,$J$3, 0)","v":0},{"$f":"(D12-G12)^2","v":0},{"$f":"T2HHMMSSs((F12-$J$1+1)/2*$J$2/60,0)","v":"   1:28:00"},{"$f":"1+$J$1","v":2.0305999999999997},{"$f":"Eclipse_Dimming(J12,$J$1,$J$3,$J$4)","v":0},{"$f":"(D12-K12)^2","v":0},{"$f":"T2HHMMSSs((J12-$J$1+1)/2*$J$2/60,0)","v":"   1:28:00"},{"$f":"1+$J$1","v":2.0305999999999997},{"$f":"Eclipse_Dimming_2(N12,$J$1,$J$3,$J$5,$J$6)","v":0},{"$f":"(D12-O12)^2","v":0},{"$f":"T2HHMMSSs((N12-$J$1+1)/2*$J$2/60,0)","v":"   1:28:00"}]
["Mars",1.655,{"$f":"($B$12/B13)^2","v":0.37390823376931576},{"$f":"100*(1-C13)","v":62.609176623068421},{"$f":"T2HHMMSSs(28/60+40/3600,0)","v":"   0:28:40"},0.63635115611138171,62.609201300880251,{"$f":"(D13-G13)^2","v":6.0899439669598642E-10},{"$f":"T2HHMMSSs((F13-$J$1+1)/2*$J$2/60,0)","v":"   0:26:39"},0.68700564182506851,62.60920124515539,6.0624716667977908E-10,{"$f":"T2HHMMSSs((J13-$J$1+1)/2*$J$2/60,0)","v":"   0:28:53"},0.69396148242564815,62.609167338317924,8.6206591797655598E-11,{"$f":"T2HHMMSSs((N13-$J$1+1)/2*$J$2/60,0)","v":"   0:29:11"}]
["Ceres",2.653,{"$f":"($B$12/B14)^2","v":0.14550788395502451},{"$f":"100*(1-C14)","v":85.449211604497549},{"$f":"T2HHMMSSs(8/60+56/3600,0)","v":"   0:08:56"},0.27226696494630653,85.449223980937049,{"$f":"(D14-G14)^2","v":1.5317625469510748E-10},{"$f":"T2HHMMSSs((F14-$J$1+1)/2*$J$2/60,0)","v":"   0:10:38"},0.33206258343435174,85.449230948049575,3.741730049798593E-10,{"$f":"T2HHMMSSs((J14-$J$1+1)/2*$J$2/60,0)","v":"   0:13:16"},0.34323582851983858,85.449251184160829,1.5665497453712276E-9,{"$f":"T2HHMMSSs((N14-$J$1+1)/2*$J$2/60,0)","v":"   0:13:45"}]
["Jupiter",5.4480000000000004,3.450538100443979E-2,{"$f":"100*(1-C15)","v":96.549461899556022},{"$f":"T2HHMMSSs(2/60+52/3600,0)","v":"   0:02:52"},9.6591315938891933E-2,96.549498868789613,1.3667242322960652E-9,"   0:02:54",0.12727567739452361,96.549486306574153,5.9570253404700019E-10,"   0:04:15",0.1369345390722346,96.549491529016308,8.7790491684993414E-10,"   0:04:41"]
["Saturn",10.061,1.011762845588338E-2,98.988237154411664,{"$f":"T2HHMMSSs(59/3600,0)","v":"   0:00:59"},5.4959676483135454E-2,98.988216591648992,4.2282720867461409E-10,"   0:01:04",6.8789855282443482E-2,98.988271862869297,1.2046770312835902E-9,"   0:01:41",7.5051117283774338E-2,98.988255658243972,3.4239181008887135E-10,"   0:01:57"]
["Uranus",19.917000000000002,2.5817440112067829E-3,99.741825598879316,{"$f":"T2HHMMSSs(22/3600,0)","v":"   0:00:22"},3.9446474654530599E-2,99.741822729296672,8.234504553005145E-12,"   0:00:23",4.4953300128681858E-2,99.741841765040107,2.613447547035291E-10,"   0:00:38",4.8311888281420433E-2,99.741834527163661,7.9714261340414794E-11,"   0:00:47"]
["Neptune",29.946999999999999,1.1419691713037152E-3,99.885803082869629,{"$f":"T2HHMMSSs(12.5/3600,1)","v":"   0:00:12.5"},3.5571810114239565E-2,99.885817542681906,2.0908617109542618E-10,{"$f":"T2HHMMSSs((F18-$J$1+1)/2*$J$2/60,1)","v":"   0:00:13.1"},3.8781877785948903E-2,99.885830530552767,7.5337530963819568E-10,{"$f":"T2HHMMSSs((J18-$J$1+1)/2*$J$2/60,1)","v":"   0:00:21.6"},4.1028606960591643E-2,99.885820090481175,2.8925885052208165E-10,{"$f":"T2HHMMSSs((N18-$J$1+1)/2*$J$2/60,1)","v":"   0:00:27.5"}]
["Pluto",33.390999999999998,9.1854867246893583E-4,{"$f":"100*(1-C19)","v":99.908145132753106},{"$f":"T2HHMMSSs(7.7/3600,1)","v":"   0:00:07.7"},3.4884273341486215E-2,{"$f":"Eclipse_Dimming(F19,$J$1,$J$3, 0)","v":99.908160792044868},{"$f":"(D19-G19)^2","v":2.4521341848584802E-10},{"$f":"T2HHMMSSs((F19-$J$1+1)/2*$J$2/60,1)","v":"   0:00:11.3"},3.7663042168907562E-2,{"$f":"Eclipse_Dimming(J19,$J$1,$J$3,$J$4)","v":99.90815333299939},{"$f":"(D19-K19)^2","v":6.7244039129294731E-11},{"$f":"T2HHMMSSs((J19-$J$1+1)/2*$J$2/60,1)","v":"   0:00:18.6"},3.9673289194205832E-2,{"$f":"Eclipse_Dimming_2(N19,$J$1,$J$3,$J$5,$J$6)","v":99.908169479309024},{"$f":"(D19-O19)^2","v":5.9275478506765485E-10},{"$f":"T2HHMMSSs((N19-$J$1+1)/2*$J$2/60,1)","v":"   0:00:24.0"}]
["\"far away\"",99999,0,100,null,3.0601E-2,100,0,{"$f":"T2HHMMSSs((F20-$J$1+1)/2*$J$2/60,1)","v":"   0:00:00.0"},3.0601E-2,100,0,{"$f":"T2HHMMSSs((J20-$J$1+1)/2*$J$2/60,1)","v":"   0:00:00.0"},3.0601E-2,100,0,{"$f":"T2HHMMSSs((N20-$J$1+1)/2*$J$2/60,1)","v":"   0:00:00.0"}]