#!/usr/local/bin/gnuplot -persist
# set terminal svg size 600,400 dynamic enhanced font 'arial,10' mousing name "solar_path_1" butt dashlength 1.0 
# set output 'solar_path.1.svg'
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 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 = "01-10-2022"
Minute = 60.0
Hour = 3600.0
Day = 86400.0
TimeFormat = "%d-%m-%Y %H:%M"
Phi = 47.67
n = 8308.5
L = 189.7114229
g = 266.38809255
lambda = 187.802741657788
eps = 23.4356766
RAsc = -172.833941746574
Dec = -3.09522264705683
daylength = 173.20326202078
corr = 5.22
rise = 19531.5914424936
set = 22037.1914424936
sunlight = "11 h 32 m"
sunrise = "6:34"
sunset = "18:07"
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] = [-45.4252226470568,-45.3730000131446,-45.2167195649741,-44.9575303221906,-44.5973039260464,-44.1385731735582,-43.5844526874919,-42.9385473430588,-42.2048543623019,-41.3876646595941,-40.4914682202373,-39.5208672059732,-38.4804992932386,-37.3749726166468,-36.2088127169633,-34.9864211343772,-33.7120447559273,-32.3897547021229,-31.0234333866501,-29.6167683628416,-28.1732516408582,-26.6961832854457,-25.1886782582514,-23.6536756310556,-22.0939494535551,-20.5121207034796,-18.9106698737262,-17.2919498595301,-15.6581988988557,-14.0115533926463,-12.3540604902793,-10.6876903716264,-9.0143481925901,-7.33588568771895,-5.65411244312675,-3.97080686678679,-2.28772689243256,-0.606620458596111,1.07076419363999,2.74266836141762,4.40731282011471,6.06288782939041,7.70754318088827,9.33937827506006,10.9564322298288,12.5566740430131,14.1379928542219,15.6981883810095,17.2349616391974,18.7459060991169,20.2284994786698,21.6800964307856,23.0979224468635,24.47906936811,25.8204929712583,27.1190131704357,28.371317447529,29.5739681816425,30.7234145840273,31.8160099456152,32.8480348554175,33.815726934089,34.7153174333968,35.5430747685072,36.2953546725859,36.9686562002524,37.5596822808848,38.0654029746122,38.4831190692943,38.81052324384,39.0457557826815,39.1874518194332,39.2347773529432,39.1874518194332,39.0457557826815,38.81052324384,38.4831190692943,38.0654029746122,37.5596822808848,36.9686562002524,36.2953546725859,35.5430747685072,34.7153174333968,33.815726934089,32.8480348554175,31.8160099456152,30.7234145840273,29.5739681816425,28.371317447529,27.1190131704357,25.8204929712583,24.47906936811,23.0979224468635,21.6800964307856,20.2284994786698,18.7459060991169,17.2349616391974,15.6981883810095,14.1379928542219,12.5566740430131,10.9564322298288,9.33937827506006,7.70754318088827,6.06288782939041,4.40731282011471,2.74266836141762,1.07076419363999,-0.606620458596111,-2.28772689243256,-3.97080686678679,-5.65411244312675,-7.33588568771895,-9.0143481925901,-10.6876903716264,-12.3540604902793,-14.0115533926463,-15.6581988988557,-17.2919498595301,-18.9106698737262,-20.5121207034796,-22.0939494535551,-23.6536756310556,-25.1886782582514,-26.6961832854457,-28.1732516408582,-29.6167683628416,-31.0234333866501,-32.3897547021229,-33.7120447559273,-34.9864211343772,-36.2088127169633,-37.3749726166468,-38.4804992932386,-39.5208672059732,-40.4914682202373,-41.3876646595941,-42.2048543623019,-42.9385473430588,-43.5844526874919,-44.1385731735582,-44.5973039260464,-44.9575303221906,-45.2167195649741,-45.3730000131446,-45.4252226470568,-45.3730000131446,-45.2167195649741,-44.9575303221906,-44.5973039260464,-44.1385731735582]
array today_azi[150] = [1.00338680439211e-14,3.57281784423141,7.13267652686937,10.666999256473,14.1639473248146,17.6127259202694,21.0038229413981,24.3291714048753,27.5822339409201,30.7580147806341,33.8530097569894,36.8651078325576,39.793458627222,42.6383197371124,45.4008958374109,48.083179173357,50.6877985052163,53.2178811967189,55.6769311068549,58.0687233396062,60.397215726606,62.6664761189338,64.8806240791253,67.0437853207001,69.1600571728783,71.2334833957964,73.268036791456,75.2676082142636,77.2360007586272,79.1769280737961,81.0940159181354,82.9908062107675,84.8707629654507,86.737279599056,88.5936871956235,90.4432633778719,92.289241492665,94.1348198567588,95.9831708355148,97.8374495413359,99.7008019413068,101.576372155643,103.46730871066,105.376769482545,107.307925031761,109.263959983027,111.248072053497,113.263468273452,115.313357881769,117.400941316272,119.529394661564,121.701848871403,123.921363058412,126.190891153285,128.513241294151,130.891027432429,133.326612854937,135.822045644028,138.378986546898,140.998630314235,143.681622297582,146.427972945647,149.236973768403,152.107119268195,155.036040159696,158.020453775739,161.056137727237,164.137932502318,167.259777640526,170.414784365462,173.595345173144,176.793278046024,180.0,-176.793278046024,-173.595345173144,-170.414784365462,-167.259777640526,-164.137932502318,-161.056137727237,-158.020453775739,-155.036040159696,-152.107119268195,-149.236973768403,-146.427972945647,-143.681622297582,-140.998630314235,-138.378986546898,-135.822045644028,-133.326612854937,-130.891027432429,-128.513241294151,-126.190891153285,-123.921363058412,-121.701848871403,-119.529394661564,-117.400941316272,-115.313357881769,-113.263468273452,-111.248072053497,-109.263959983027,-107.307925031761,-105.376769482545,-103.46730871066,-101.576372155643,-99.7008019413068,-97.8374495413359,-95.9831708355148,-94.1348198567588,-92.289241492665,-90.4432633778719,-88.5936871956235,-86.737279599056,-84.8707629654507,-82.9908062107675,-81.0940159181354,-79.1769280737961,-77.2360007586272,-75.2676082142636,-73.268036791456,-71.2334833957964,-69.1600571728783,-67.0437853207001,-64.8806240791253,-62.6664761189338,-60.397215726606,-58.0687233396062,-55.6769311068549,-53.2178811967189,-50.6877985052163,-48.083179173357,-45.4008958374109,-42.6383197371124,-39.793458627222,-36.8651078325576,-33.8530097569894,-30.7580147806341,-27.5822339409201,-24.3291714048753,-21.0038229413981,-17.6127259202694,-14.1639473248146,-10.666999256473,-7.13267652686937,-3.57281784423141,-1.00338680439211e-14,3.57281784423139,7.13267652686935,10.666999256473,14.1639473248146,17.6127259202694]
today = "Today ☉  \n11 h 32 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