# 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 = "17-09-2023"
Minute = 60.0
Hour = 3600.0
Day = 86400.0
TimeFormat = "%d-%m-%Y %H:%M"
Phi = 47.67
n = 8659.5
L = 175.673660299999
g = 252.33379785
lambda = 173.860536818906
eps = 23.4355362
RAsc = 174.363586523257
Dec = 2.43783450760989
daylength = 185.352989074441
corr = 5.22
rise = 20989.5586889329
set = 23495.1586889329
sunlight = "12 h 21 m"
sunrise = "6:10"
sunset = "18:31"
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] = [-39.8921654923901,-39.8443632474873,-39.7012464215196,-39.4636766089908,-39.1330632339615,-38.7113255229884,-38.2008426973453,-37.604395349395,-36.9251012409729,-36.1663487385254,-35.331730824596,-34.4249821670666,-33.449921164867,-32.4103982959797,-31.310251531018,-30.153269085486,-28.9431593892188,-27.6835278593797,-26.3778598686424,-25.0295091900593,-23.6416911582218,-22.2174797955719,-20.759808197347,-19.2714715352637,-17.7551321180593,-16.2133260285592,-14.648470936576,-13.0628747611927,-11.4587449229018,-9.83819798482026,-8.20326953270781,-6.55592418617946,-4.89806566901667,-3.23154689563388,-1.55818005438293,0.120253312755481,1.80199221975184,3.48528610975751,5.16838465816434,6.84952746627495,8.5269336036305,10.1987909570042,11.8632453469248,13.518389378731,15.1622510051617,16.7927817921571,18.4078448999259,20.0052028186903,21.5825049343859,23.1372750456695,24.6668990117599,26.1686127827471,27.6394911517168,29.0764376724164,30.4761763072362,31.8352455062171,33.1499955641469,34.4165902513165,35.6310138509414,36.7890848433223,37.8864775275372,38.9187528334731,39.8813994135467,40.7698857775888,41.5797237160769,42.3065425329488,42.9461726947235,43.4947364518024,43.9487419001889,44.3051759694177,44.5615911138989,44.7161802162624,44.7678345076099,44.7161802162624,44.5615911138989,44.3051759694177,43.9487419001889,43.4947364518024,42.9461726947235,42.3065425329488,41.5797237160769,40.7698857775888,39.8813994135467,38.9187528334731,37.8864775275372,36.7890848433223,35.6310138509414,34.4165902513165,33.1499955641469,31.8352455062171,30.4761763072362,29.0764376724164,27.6394911517168,26.1686127827471,24.6668990117599,23.1372750456695,21.5825049343859,20.0052028186903,18.4078448999259,16.7927817921571,15.1622510051617,13.518389378731,11.8632453469248,10.1987909570042,8.5269336036305,6.84952746627495,5.16838465816434,3.48528610975751,1.80199221975184,0.120253312755481,-1.55818005438293,-3.23154689563388,-4.89806566901667,-6.55592418617946,-8.20326953270781,-9.83819798482026,-11.4587449229018,-13.0628747611927,-14.648470936576,-16.2133260285592,-17.7551321180593,-19.2714715352637,-20.759808197347,-22.2174797955719,-23.6416911582218,-25.0295091900593,-26.3778598686424,-27.6835278593797,-28.9431593892188,-30.153269085486,-31.310251531018,-32.4103982959797,-33.449921164867,-34.4249821670666,-35.331730824596,-36.1663487385254,-36.9251012409729,-37.604395349395,-38.2008426973453,-38.7113255229884,-39.1330632339615,-39.4636766089908,-39.7012464215196,-39.8443632474873,-39.8921654923901,-39.8443632474873,-39.7012464215196,-39.4636766089908,-39.1330632339615,-38.7113255229884]
array today_azi[150] = [9.10371145198555e-15,3.24205212113274,6.47496367986125,9.68981341260768,12.8781064048723,16.0319579098341,19.1442452771223,22.2087223538377,25.2200939947283,28.1740514202912,31.0672717511376,33.8973869166917,36.6629282189068,39.3632531791752,41.9984610424393,44.5693026295137,47.0770892927392,49.5236046949897,51.911022115875,54.2418290709759,56.5187602541034,58.7447391948101,60.9228285597969,63.0561887013555,65.1480438464125,67.2016552023004,69.2203002074876,71.207257157339,73.1657944701329,75.0991639140931,77.0105971822785,78.9033052716833,80.7804801908372,82.6452985832031,84.5009269096167,86.350527880571,88.197267867558,90.0443250514636,91.8948980848334,93.7522150533482,95.6195425196364,97.5001944190041,99.3975405510264,101.315014372222,103.256119742131,105.224436206841,107.223622319235,109.257416393259,111.329633970152,113.444161139115,115.604942706295,117.815964050373,120.081225350625,122.404706739909,124.790322843944,127.241865151405,129.762930759046,132.356836304419,135.026516395977,137.774406639394,140.602312495146,143.511266718323,146.501380014499,149.571691712145,152.720029523281,155.942889548932,159.235349187375,162.591026056972,166.002095001324,169.459372384745,172.952472158849,176.470031908887,-180.0,-176.470031908887,-172.952472158849,-169.459372384745,-166.002095001324,-162.591026056972,-159.235349187375,-155.942889548932,-152.720029523281,-149.571691712145,-146.501380014499,-143.511266718323,-140.602312495146,-137.774406639394,-135.026516395977,-132.356836304419,-129.762930759046,-127.241865151405,-124.790322843944,-122.404706739909,-120.081225350625,-117.815964050373,-115.604942706295,-113.444161139115,-111.329633970152,-109.257416393259,-107.223622319235,-105.224436206841,-103.256119742131,-101.315014372222,-99.3975405510264,-97.5001944190041,-95.6195425196364,-93.7522150533482,-91.8948980848334,-90.0443250514636,-88.197267867558,-86.350527880571,-84.5009269096167,-82.6452985832031,-80.7804801908372,-78.9033052716833,-77.0105971822785,-75.0991639140931,-73.1657944701329,-71.207257157339,-69.2203002074876,-67.2016552023004,-65.1480438464125,-63.0561887013555,-60.9228285597969,-58.7447391948101,-56.5187602541034,-54.2418290709759,-51.911022115875,-49.5236046949897,-47.0770892927392,-44.5693026295137,-41.9984610424393,-39.3632531791752,-36.6629282189068,-33.8973869166917,-31.0672717511376,-28.1740514202912,-25.2200939947283,-22.2087223538377,-19.1442452771223,-16.0319579098341,-12.8781064048723,-9.68981341260768,-6.47496367986125,-3.24205212113274,-9.10371145198555e-15,3.24205212113272,6.47496367986123,9.68981341260766,12.8781064048723,16.0319579098341]
today = "Today ☉  \n12 h 21 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