# set terminal pngcairo  transparent enhanced font "arial,10" fontscale 1.0 size 600, 400 
# set output 'solar_path.1.png'
set border 4096 front lt black linewidth 1.000 dashtype solid
set dummy t, y
set format r "%.0f°" 
set angles degrees
set grid polar 30.000000
set grid noxtics nomxtics noytics nomytics noztics nomztics rtics nomrtics \
 nox2tics nomx2tics noy2tics nomy2tics nocbtics nomcbtics
set grid layerdefault   lt 0 linecolor 0 linewidth 0.500,  lt 0 linecolor 0 linewidth 0.500
set raxis
set theta clockwise top
unset key
set label 1 "Solar path at\nLatitude 47.67 N" at screen 0.02, 0.95, 0 left norotate font ":Bold,10" back nopoint
set polar
set polar grid 24, 10 qnorm 1  theta [0:360]  r [0:*]
set size ratio 1 1,1
set style data lines
unset xtics
unset ytics
set rtics  norangelimit 30 
set ttics axis in scale 1,0.5 nomirror norotate  autojustify
set ttics  norangelimit autofreq  font ":Bold"
set ttics add  ("W" -90.0000, "N" 0.00000, "E" 90.0000, "S" 180.000)
set timestamp "Seattle - %d %b %Y" 
set timestamp  offset character 1, 1, 0 font "" textcolor lt -1 norotate
set xrange [ -90.0000 : 90.0000 ] noreverse nowriteback
set x2range [ * : * ] noreverse writeback
set yrange [ -90.0000 : 90.0000 ] noreverse nowriteback
set y2range [ * : * ] noreverse writeback
set zrange [ * : * ] noreverse writeback
set cbrange [ * : * ] noreverse writeback
set rlabel "Altitude" 
set rlabel  offset character -2, 0, 0 font ":Bold" textcolor lt -1 norotate
set rrange [ 90.0000 : 0.00000 ] noreverse nowriteback
set colorbox vertical origin screen 0.9, 0.2 size screen 0.05, 0.6 front  noinvert bdefault
h(t) = 360. * t / Day
Altitude(t) = asin( sin(Dec) * sin(Phi) + cos(Dec) * cos(Phi) * cos(h(t)) )
cosAzi(t)  = ( sin(Dec) * sin(Phi) - cos(Dec) * cos(h(t)) * sin(Phi) )            / cos(Altitude(t))
sinAzi(t)  = ( -cos(Dec) * sin(h(t)) )            / cos(Altitude(t))
Azimuth(t) = atan2( sinAzi(t), cosAzi(t) )
NO_ANIMATION = 1
save_encoding = "utf8"
Latitude = 47.67
Longitude = -122.28
Date = "24-05-2024"
Minute = 60.0
Hour = 3600.0
Day = 86400.0
TimeFormat = "%d-%m-%Y %H:%M"
Phi = 47.67
n = 8909.5
L = 62.0855102999994
g = 138.73387285
lambda = 63.3287323778884
eps = 23.4354362
RAsc = 61.3000947413424
Dec = 20.8177868471978
daylength = 225.929629254218
corr = 5.22
rise = 25858.7555105062
set = 28364.3555105062
sunlight = "15 h 03 m"
sunrise = "4:49"
sunset = "19:52"
array dummy[150] = [-43200.0,-42600.0,-42000.0,-41400.0,-40800.0,-40200.0,-39600.0,-39000.0,-38400.0,-37800.0,-37200.0,-36600.0,-36000.0,-35400.0,-34800.0,-34200.0,-33600.0,-33000.0,-32400.0,-31800.0,-31200.0,-30600.0,-30000.0,-29400.0,-28800.0,-28200.0,-27600.0,-27000.0,-26400.0,-25800.0,-25200.0,-24600.0,-24000.0,-23400.0,-22800.0,-22200.0,-21600.0,-21000.0,-20400.0,-19800.0,-19200.0,-18600.0,-18000.0,-17400.0,-16800.0,-16200.0,-15600.0,-15000.0,-14400.0,-13800.0,-13200.0,-12600.0,-12000.0,-11400.0,-10800.0,-10200.0,-9600.0,-9000.0,-8400.0,-7800.0,-7200.0,-6600.0,-6000.0,-5400.0,-4800.0,-4200.0,-3600.0,-3000.0,-2400.0,-1800.0,-1200.0,-600.0,0.0,600.0,1200.0,1800.0,2400.0,3000.0,3600.0,4200.0,4800.0,5400.0,6000.0,6600.0,7200.0,7800.0,8400.0,9000.0,9600.0,10200.0,10800.0,11400.0,12000.0,12600.0,13200.0,13800.0,14400.0,15000.0,15600.0,16200.0,16800.0,17400.0,18000.0,18600.0,19200.0,19800.0,20400.0,21000.0,21600.0,22200.0,22800.0,23400.0,24000.0,24600.0,25200.0,25800.0,26400.0,27000.0,27600.0,28200.0,28800.0,29400.0,30000.0,30600.0,31200.0,31800.0,32400.0,33000.0,33600.0,34200.0,34800.0,35400.0,36000.0,36600.0,37200.0,37800.0,38400.0,39000.0,39600.0,40200.0,40800.0,41400.0,42000.0,42600.0,43200.0,43800.0,44400.0,45000.0,45600.0,46200.0]
array winter_alt[150] = [-65.765748681478,-65.6837943791762,-65.4396271016244,-65.0381686135367,-64.4871078384737,-63.7962434525089,-62.9767489438565,-62.0404704378976,-60.9993333541814,-59.864893469824,-58.6480344125534,-57.3587925763162,-56.0062813665154,-54.5986860240349,-53.1433041920547,-51.6466129566643,-50.1143485731071,-48.5515896849455,-46.9628383405458,-45.352095594331,-43.7229301458821,-42.0785395285917,-40.4218039927283,-38.7553335760766,-37.0815090206979,-35.402517247244,-33.7203820855871,-32.0369909125335,-30.3541177829269,-28.6734435708213,-26.996573569051,-25.3250529318099,-23.6603802872678,-22.0040197961802,-20.3574118876448,-18.7219828640655,-17.0991535333041,-15.4903469961869,-13.8969956912984,-12.3205477756754,-10.762472899048,-9.22426741016488,-7.70745901608078,-6.21361089874912,-4.74432527761764,-3.30124639201754,-1.88606286291845,-0.500509380140067,0.853632351472994,2.17453348481253,3.46031880992474,4.70906853550125,5.91882117276241,7.08757762337096,8.21330656986737,9.29395125856388,10.3274377499402,11.311684689503,12.2446146221519,13.1241668350033,13.9483116674782,14.7150661739785,15.4225109650763,16.0688079900359,16.6522189596962,17.1711240479955,17.6240404570231,18.0096403889709,18.3267679431535,18.5744544511858,18.7519317811978,18.8586431838716,18.894251318522,18.8586431838716,18.7519317811978,18.5744544511858,18.3267679431535,18.0096403889709,17.6240404570231,17.1711240479955,16.6522189596962,16.0688079900359,15.4225109650763,14.7150661739785,13.9483116674782,13.1241668350033,12.2446146221519,11.311684689503,10.3274377499402,9.29395125856388,8.21330656986737,7.08757762337096,5.91882117276241,4.70906853550125,3.46031880992474,2.17453348481253,0.853632351472994,-0.500509380140067,-1.88606286291845,-3.30124639201754,-4.74432527761764,-6.21361089874912,-7.70745901608078,-9.22426741016488,-10.762472899048,-12.3205477756754,-13.8969956912984,-15.4903469961869,-17.0991535333041,-18.7219828640655,-20.3574118876448,-22.0040197961802,-23.6603802872678,-25.3250529318099,-26.996573569051,-28.6734435708213,-30.3541177829269,-32.0369909125335,-33.7203820855871,-35.402517247244,-37.0815090206979,-38.7553335760766,-40.4218039927283,-42.0785395285917,-43.7229301458821,-45.352095594331,-46.9628383405458,-48.5515896849455,-50.1143485731071,-51.6466129566643,-53.1433041920547,-54.5986860240349,-56.0062813665154,-57.3587925763162,-58.6480344125534,-59.864893469824,-60.9993333541814,-62.0404704378976,-62.9767489438565,-63.7962434525089,-64.4871078384737,-65.0381686135367,-65.4396271016244,-65.6837943791762,-65.765748681478,-65.6837943791762,-65.4396271016244,-65.0381686135367,-64.4871078384737,-63.7962434525089]
array winter_azi[150] = [1.67536640989715e-14,5.95580651902212,11.8327432211824,17.5591132524744,23.0760184324658,28.3404784664604,33.3259247058107,38.0206314836446,42.4249501067636,46.5481601672893,50.4055122585955,54.0157650184025,57.3993080675428,60.5768343946388,63.5684673180877,66.3932336923463,69.0687849064058,71.6112860129873,74.0354130719541,76.3544159349872,78.5802171842667,80.7235279127276,82.793968100251,84.8001841828654,86.7499596371406,88.6503164910128,90.5076069843453,92.32759539472,94.1155304953073,95.8762093441664,97.6140331997618,99.3330563697425,101.037028764184,102.729432862891,104.413515733048,106.092316656961,107.76869085495,109.445329718278,111.124777902871,112.809447576887,114.501630064203,116.203505081361,117.917147727311,119.644533353239,121.387540413747,123.147951380738,124.927451787606,126.727627464081,128.549960021625,130.395820656108,132.266462348922,134.163010570272,136.086452619158,138.037625773637,140.017204471842,142.025686798018,144.06338060693,146.130389681997,148.226600384235,150.351669306352,152.505012494303,154.685796831691,156.892934194843,159.125078972539,161.380629499501,163.65773387343,165.954300510592,168.268013646219,170.596353808163,172.93662309342,175.285974868293,177.641447307537,180.0,-177.641447307537,-175.285974868293,-172.93662309342,-170.596353808163,-168.268013646219,-165.954300510592,-163.65773387343,-161.380629499501,-159.125078972539,-156.892934194843,-154.685796831691,-152.505012494303,-150.351669306352,-148.226600384235,-146.130389681997,-144.06338060693,-142.025686798018,-140.017204471842,-138.037625773637,-136.086452619158,-134.163010570272,-132.266462348922,-130.395820656108,-128.549960021625,-126.727627464081,-124.927451787606,-123.147951380738,-121.387540413747,-119.644533353239,-117.917147727311,-116.203505081361,-114.501630064203,-112.809447576887,-111.124777902871,-109.445329718278,-107.76869085495,-106.092316656961,-104.413515733048,-102.729432862891,-101.037028764184,-99.3330563697425,-97.6140331997618,-95.8762093441664,-94.1155304953073,-92.32759539472,-90.5076069843453,-88.6503164910128,-86.7499596371406,-84.8001841828654,-82.793968100251,-80.7235279127276,-78.5802171842667,-76.3544159349872,-74.0354130719541,-71.6112860129873,-69.0687849064058,-66.3932336923463,-63.5684673180877,-60.5768343946388,-57.3993080675428,-54.0157650184025,-50.4055122585955,-46.5481601672893,-42.4249501067636,-38.0206314836446,-33.3259247058107,-28.3404784664604,-23.0760184324658,-17.5591132524744,-11.8327432211824,-5.95580651902212,-1.67536640989715e-14,5.95580651902209,11.8327432211823,17.5591132524743,23.0760184324658,28.3404784664604]
time = 46800.0
array summer_alt[150] = [-18.8958928585141,-18.8602839328933,-18.7535701650568,-18.5760889187476,-18.3283969810921,-18.0112625356211,-17.6256543150355,-17.1727282955502,-16.6538123600958,-16.0703893995657,-15.424079339086,-14.716620571203,-13.94985125267,-13.1256908799968,-12.2461225055118,-11.3131758949369,-10.3289118636674,-9.29540796583712,-8.21474565084164,-7.08899894850254,-5.92022469790834,-4.71045429687128,-3.46168691901913,-2.17588412345986,-0.854965767063038,0.499192879150627,1.88476291116613,3.29996257101027,4.74305711909565,6.21235788760284,7.70622059280821,9.22304297285672,10.7612618048935,12.319349341985,13.8958091960403,15.4891716780366,17.0979885912044,18.7208274562955,20.356265130394,22.0028807616238,23.6592480011381,25.3239263704595,26.9954516560045,28.6723251728148,30.3530017054429,32.0358758948472,33.7192667953581,35.401400274712,37.0803888725772,38.7542086692977,40.4206726482483,42.0773999655999,43.7217804768698,45.3509338216893,46.9616623556171,48.5503972707987,50.1131374127493,51.6453806489609,53.14204827829,54.59740402879,56.0049708572687,57.3574512467093,58.646660194279,59.8634846770746,60.9978888618186,62.0389898891481,62.9752329747988,63.794693909076,64.4855279490631,65.0365630708538,65.4380020073902,65.6821570207464,65.7641071414859,65.6821570207464,65.4380020073902,65.0365630708538,64.4855279490631,63.794693909076,62.9752329747988,62.0389898891481,60.9978888618186,59.8634846770746,58.646660194279,57.3574512467093,56.0049708572687,54.59740402879,53.14204827829,51.6453806489609,50.1131374127493,48.5503972707987,46.9616623556171,45.3509338216893,43.7217804768698,42.0773999655999,40.4206726482483,38.7542086692977,37.0803888725772,35.401400274712,33.7192667953581,32.0358758948472,30.3530017054429,28.6723251728148,26.9954516560045,25.3239263704595,23.6592480011381,22.0028807616238,20.356265130394,18.7208274562955,17.0979885912044,15.4891716780366,13.8958091960403,12.319349341985,10.7612618048935,9.22304297285672,7.70622059280821,6.21235788760284,4.74305711909565,3.29996257101027,1.88476291116613,0.499192879150627,-0.854965767063038,-2.17588412345986,-3.46168691901913,-4.71045429687128,-5.92022469790834,-7.08899894850254,-8.21474565084164,-9.29540796583712,-10.3289118636674,-11.3131758949369,-12.2461225055118,-13.1256908799968,-13.94985125267,-14.716620571203,-15.424079339086,-16.0703893995657,-16.6538123600958,-17.1727282955502,-17.6256543150355,-18.0112625356211,-18.3283969810921,-18.5760889187476,-18.7535701650568,-18.8602839328933,-18.8958928585141,-18.8602839328933,-18.7535701650568,-18.5760889187476,-18.3283969810921,-18.0112625356211]
array summer_azi[150] = [6.62131327766097e-15,2.35860866398087,4.71413684590796,7.06354391047375,9.40386781745307,11.7322617314914,14.0460275648762,16.3426456807292,18.6198001718465,20.8753993359434,23.1075911769108,25.3147739605644,27.4956020312195,29.6489872441673,31.77409648396,33.8703458177032,35.9373918774479,37.9751210796017,39.9836372768394,41.9632484048887,43.9144526386054,45.8379245144528,47.7345014147808,49.6051707472751,51.4510580938484,53.2734165494489,55.073617424367,56.8531424445508,58.6135775536347,60.3566083978458,62.0840175604777,63.797683605812,65.499581992815,67.1917879261918,68.8764812261159,70.5559533178838,72.2326164687488,73.9090154312451,75.5878416905056,77.2719505575868,78.9643814018281,80.6683813729083,82.3874330274224,84.1252863449142,85.8859956929844,87.6739623775778,89.4939834878257,91.3513078063476,93.2516995916873,95.2015110271816,97.2077640350038,99.2782419214453,101.421590867962,103.647430490099,105.966471374116,108.390635411895,110.933171529542,113.608754562574,116.433547964563,119.425201063,122.602738093801,125.986279108219,129.596513110355,133.453825006428,137.576968083178,141.981187213833,146.675756415114,151.661022375376,156.925256857092,162.44189190643,168.167952214704,174.044549277307,-180.0,-174.044549277307,-168.167952214704,-162.44189190643,-156.925256857092,-151.661022375376,-146.675756415114,-141.981187213833,-137.576968083178,-133.453825006428,-129.596513110355,-125.986279108219,-122.602738093801,-119.425201063,-116.433547964563,-113.608754562574,-110.933171529542,-108.390635411895,-105.966471374116,-103.647430490099,-101.421590867962,-99.2782419214453,-97.2077640350038,-95.2015110271816,-93.2516995916873,-91.3513078063476,-89.4939834878257,-87.6739623775778,-85.8859956929844,-84.1252863449142,-82.3874330274224,-80.6683813729083,-78.9643814018281,-77.2719505575868,-75.5878416905056,-73.9090154312451,-72.2326164687488,-70.5559533178838,-68.8764812261159,-67.1917879261918,-65.499581992815,-63.797683605812,-62.0840175604777,-60.3566083978458,-58.6135775536347,-56.8531424445508,-55.073617424367,-53.2734165494489,-51.4510580938484,-49.6051707472751,-47.7345014147808,-45.8379245144528,-43.9144526386054,-41.9632484048887,-39.9836372768394,-37.9751210796017,-35.9373918774479,-33.8703458177032,-31.77409648396,-29.6489872441673,-27.4956020312195,-25.3147739605644,-23.1075911769108,-20.8753993359434,-18.6198001718465,-16.3426456807292,-14.0460275648762,-11.7322617314914,-9.40386781745307,-7.06354391047375,-4.71413684590796,-2.35860866398087,-6.62131327766097e-15,2.35860866398086,4.71413684590795,7.06354391047373,9.40386781745308,11.7322617314914]
array today_alt[150] = [-21.5122131528022,-21.4753226738933,-21.3647773614744,-21.180953592467,-20.9244720840644,-20.5961882869471,-20.1971794374857,-19.7287287310662,-19.1923071587159,-18.5895535974721,-17.9222537611001,-17.1923186040508,-16.4017627322081,-15.5526833146129,-14.6472399172059,-13.6876355989502,-12.6760995281287,-11.6148712969541,-10.5061870394981,-9.3522673938572,-8.15530729581455,-6.9174675485116,-5.64086808055441,-4.32758278275394,-2.97963580021933,-1.59899915049275,-0.187591538505362,1.25272175592581,2.72012803369948,4.21286547941419,5.72922070275996,7.26752559481206,8.82615356038228,10.4035151717443,11.9980532728831,13.6082375469799,15.23255854308,16.8695211406761,18.5176374130511,20.1754188314083,21.8413677317369,23.5139679446699,25.1916744649117,26.8729020107659,28.5560122955718,30.2392998012344,31.9209758095212,33.5991504097494,35.2718121628842,36.9368050638185,38.5918024091312,40.2342771525722,41.8614683239047,43.4703431124185,45.0575542951613,46.6193928519748,48.1517358975182,49.6499905328854,51.1090349518362,52.5231592205299,53.886009683074,55.1905430094033,56.4289985141879,57.5929004081182,58.6731047055667,59.6599078123993,60.5432340575457,61.3129158700765,61.9590711530602,62.4725667179887,62.8455355788264,63.0718938049806,63.1477868471978,63.0718938049806,62.8455355788264,62.4725667179887,61.9590711530602,61.3129158700765,60.5432340575457,59.6599078123993,58.6731047055667,57.5929004081182,56.4289985141879,55.1905430094033,53.886009683074,52.5231592205299,51.1090349518362,49.6499905328854,48.1517358975182,46.6193928519748,45.0575542951613,43.4703431124185,41.8614683239047,40.2342771525722,38.5918024091312,36.9368050638185,35.2718121628842,33.5991504097494,31.9209758095212,30.2392998012344,28.5560122955718,26.8729020107659,25.1916744649117,23.5139679446699,21.8413677317369,20.1754188314083,18.5176374130511,16.8695211406761,15.23255854308,13.6082375469799,11.9980532728831,10.4035151717443,8.82615356038228,7.26752559481206,5.72922070275996,4.21286547941419,2.72012803369948,1.25272175592581,-0.187591538505362,-1.59899915049275,-2.97963580021933,-4.32758278275394,-5.64086808055441,-6.9174675485116,-8.15530729581455,-9.3522673938572,-10.5061870394981,-11.6148712969541,-12.6760995281287,-13.6876355989502,-14.6472399172059,-15.5526833146129,-16.4017627322081,-17.1923186040508,-17.9222537611001,-18.5895535974721,-19.1923071587159,-19.7287287310662,-20.1971794374857,-20.5961882869471,-20.9244720840644,-21.180953592467,-21.3647773614744,-21.4753226738933,-21.5122131528022,-21.4753226738933,-21.3647773614744,-21.180953592467,-20.9244720840644,-20.5961882869471]
array today_azi[150] = [6.87665351733146e-15,2.44951854847303,4.89556291965159,7.33470708815364,9.76361989379977,12.1791089598344,14.578160616568,16.9579748487724,19.3159945453689,21.6499286115875,23.9577687858439,26.2378002672373,28.4886064896847,30.7090685649016,32.8983600533014,35.0559378087035,37.1815296826349,39.2751198730021,41.3369326677115,43.3674152748952,45.3672203560559,47.3371887942442,49.2783331427254,51.1918221155693,53.0789664039271,54.9412060329592,56.780099415866,58.597314213845,60.3946200739844,62.1738832906235,63.937063418778,65.6862118599591,67.4234724401618,69.1510840060748,70.8713850778665,72.5868206145169,74.2999509700014,76.0134631451675,77.7301844703831,79.4530988874715,81.1853660354083,82.9303433818111,84.6916116799612,86.4730040667273,88.27863914685,90.1129584282822,91.9807684736263,93.8872881021289,95.8382008974467,97.8397131225543,99.8986168773465,102.022357903477,104.219106770151,106.497831161275,108.868365490841,111.341471921189,113.928883828807,116.64331860807,119.498441192845,122.508752685008,125.689370172906,129.055654969063,132.622638944953,136.404195946812,140.411913286336,144.653645197496,149.131785014011,153.841381406528,158.768341011068,163.888079283217,169.16505226239,174.553558780244,-180.0,-174.553558780244,-169.16505226239,-163.888079283217,-158.768341011068,-153.841381406528,-149.131785014011,-144.653645197496,-140.411913286336,-136.404195946812,-132.622638944953,-129.055654969063,-125.689370172906,-122.508752685008,-119.498441192845,-116.64331860807,-113.928883828807,-111.341471921189,-108.868365490841,-106.497831161275,-104.219106770151,-102.022357903477,-99.8986168773465,-97.8397131225543,-95.8382008974467,-93.8872881021289,-91.9807684736263,-90.1129584282822,-88.27863914685,-86.4730040667273,-84.6916116799612,-82.9303433818111,-81.1853660354083,-79.4530988874715,-77.7301844703831,-76.0134631451675,-74.2999509700014,-72.5868206145169,-70.8713850778665,-69.1510840060748,-67.4234724401618,-65.6862118599591,-63.937063418778,-62.1738832906235,-60.3946200739844,-58.597314213845,-56.780099415866,-54.9412060329592,-53.0789664039271,-51.1918221155693,-49.2783331427254,-47.3371887942442,-45.3672203560559,-43.3674152748952,-41.3369326677115,-39.2751198730021,-37.1815296826349,-35.0559378087035,-32.8983600533014,-30.7090685649016,-28.4886064896847,-26.2378002672373,-23.9577687858439,-21.6499286115875,-19.3159945453689,-16.9579748487724,-14.578160616568,-12.1791089598344,-9.76361989379977,-7.33470708815364,-4.89556291965159,-2.44951854847303,-6.87665351733146e-15,2.44951854847302,4.89556291965158,7.33470708815363,9.76361989379978,12.1791089598344]
today = "Today ☉  \n15 h 03 m\nof sunlight"
## Last datafile plotted: "@@"
plot dummy using (winter_azi[$1]):(winter_alt[$1]) lw 2 title "   Winter Solstice" at beg left,      dummy using (summer_azi[$1]):(summer_alt[$1]) lw 2 title "   Summer Solstice" at beg left,      dummy using (today_azi[$1]):(today_alt[$1]) lw 2 title today at end right