@observerly/astrometry
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observerly's lightweight, zero-dependency, type safe astrometry library written in Typescript for calculating the position of celestial objects in the sky.
1 lines • 105 kB
JavaScript
"use strict";Object.defineProperty(exports,Symbol.toStringTag,{value:"Module"});const i=require("./precession.cjs"),m=require("./maths.cjs"),d=e=>!!e&&e!==null&&typeof e=="object"&&"ral"in e&&"rau"in e&&"decl"in e&&"name"in e&&typeof e.ral=="number"&&typeof e.rau=="number"&&typeof e.decl=="number"&&typeof e.name=="string",b=[{ral:0,rau:24,decl:88,name:"Ursa Minor"},{ral:8,rau:14.5,decl:86.5,name:"Ursa Minor"},{ral:21,rau:23,decl:86.1667,name:"Ursa Minor"},{ral:18,rau:21,decl:86,name:"Ursa Minor"},{ral:0,rau:8,decl:85,name:"Cepheus"},{ral:9.1667,rau:10.6667,decl:82,name:"Camelopardalis"},{ral:0,rau:5,decl:80,name:"Cepheus"},{ral:10.6667,rau:14.5,decl:80,name:"Camelopardalis"},{ral:17.5,rau:18,decl:80,name:"Ursa Minor"},{ral:20.1667,rau:21,decl:80,name:"Draco"},{ral:0,rau:3.5083,decl:77,name:"Cepheus"},{ral:11.5,rau:13.5833,decl:77,name:"Camelopardalis"},{ral:16.5333,rau:17.5,decl:75,name:"Ursa 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crab",c3,u3,s3),o3={ra:194.006943,dec:38.318376},l3=[[[194.006943,38.318376],[188.435603,41.357479]]],i3=[[[181.594506,33.303963],[181.591416,44.303963],[182.826434,44.304336],[182.818523,52.304336],[203.742399,52.359806],[203.795114,47.859928],[211.698732,47.903938],[211.888934,30.154539],[210.770859,30.147596],[210.788827,27.897652],[203.953872,27.860313],[200.226575,27.843775],[200.207748,31.343737],[186.557694,31.307434],[186.55426,33.30743],[181.594506,33.303963]]],m3=a("Canes Venatici","the hunting dog",o3,l3,i3),d3={ra:101.287155,dec:-16.716116},b3=[[[101.287155,-16.716116],[95.674939,-17.955919]],[[101.287155,-16.716116],[104.034292,-17.05425]],[[104.034292,-17.05425],[105.939554,-15.633286]],[[104.034292,-17.05425],[103.547833,-12.038583]],[[105.939554,-15.633286],[103.547833,-12.038583]],[[95.674939,-17.955919],[99.170833,-19.255722]],[[99.170833,-19.255722],[103.533125,-24.184222]],[[103.533125,-24.184222],[104.656453,-28.972086]],[[104.656453,-28.972086],[107.09785,-26.3932]],[[107.09785,-26.3932],[101.287155,-16.716116]],[[107.09785,-26.3932],[111.02376,-29.303106]]],h3=[[[93.215625,-11.030153],[111.9734,-11.252145],[111.677199,-33.250469],[99.90386,-33.112816],[92.899068,-33.028233],[92.992566,-27.278799],[93.215625,-11.030153]]],$3=a("Canis Major","the greater dog",d3,b3,h3),p3={ra:114.825493,dec:5.224993},g3=[[[114.825493,5.224993],[111.787674,8.289316]]],C3=[[[122.849007,-.36939],[109.599666,-.224329],[109.616919,1.275572],[106.867396,1.307442],[106.914275,5.307168],[106.664322,5.310089],[106.71788,9.809775],[106.748227,12.309598],[114.241004,12.223872],[114.252728,13.223806],[118.871605,13.173217],[118.832489,9.673426],[120.580672,9.654814],[120.548343,6.654985],[122.921391,6.630238],[122.849007,-.36939]]],T3=a("Canis Minor","the lesser dog",p3,g3,C3),f3={ra:304.513566,dec:-12.544852},y3=[[[304.513566,-12.544852],[305.252803,-14.781405]],[[305.252803,-14.781405],[311.524042,-25.270528]],[[311.524042,-25.270528],[312.955417,-26.919139]],[[312.955417,-26.919139],[321.666792,-22.411389]],[[321.666792,-22.411389],[324.270083,-19.466]],[[324.270083,-19.466],[326.760184,-16.127287]],[[326.760184,-16.127287],[325.022735,-16.662308]],[[325.022735,-16.662308],[320.561583,-16.834556]],[[320.561583,-16.834556],[316.486583,-17.232722]],[[316.486583,-17.232722],[304.513566,-12.544852]]],v3=[[[309.684648,-8.563417],[301.693696,-8.643075],[301.72637,-11.676234],[301.91597,-27.641914],[306.897955,-27.591339],[321.831636,-27.459667],[321.807775,-24.959761],[329.770289,-24.904041],[329.656162,-8.4044],[321.668415,-8.460295],[321.716451,-14.460111],[309.743901,-14.563136],[309.684648,-8.563417]]],A3=a("Capricornus","the horned goat",f3,y3,v3),P3={ra:138.299906,dec:-69.717208},S3=[[[138.299906,-69.717208],[153.4345,-70.037917]],[[153.4345,-70.037917],[160.739292,-64.394472]],[[160.739292,-64.394472],[158.006167,-61.685361]],[[158.006167,-61.685361],[139.272529,-59.275232]],[[139.272529,-59.275232],[125.62848,-59.509484]],[[125.62848,-59.509484],[119.19475,-52.982389]],[[119.19475,-52.982389],[95.987958,-52.695661]],[[160.739292,-64.394472],[166.635292,-62.424139]],[[166.635292,-62.424139],[168.150083,-60.317639]],[[168.150083,-60.317639],[167.1475,-58.975056]],[[167.1475,-58.975056],[163.373208,-58.853278]],[[163.373208,-58.853278],[158.006167,-61.685361]]],M3=[[[170.155921,-57.184345],[166.337256,-57.174442],[133.323655,-56.973972],[133.380174,-54.97422],[127.567119,-54.920471],[127.609291,-53.420677],[123.320116,-53.37822],[123.381129,-51.128529],[120.861698,-51.102585],[90.748902,-50.754547],[90.693705,-52.504211],[93.194354,-52.534576],[93.1074,-55.03405],[98.114275,-55.094559],[97.995078,-58.093842],[103.011117,-58.153702],[102.703314,-64.151878],[136.094727,-64.499039],[135.243687,-75.495468],[169.856973,-75.684013],[170.084811,-64.684265],[170.155921,-57.184345]]],L3=a("Carina","the keel of a ship",P3,S3,M3),x3={ra:2.294522,dec:59.149781},H3=[[[2.294522,59.149781],[10.126838,56.537331]],[[10.126838,56.537331],[14.177083,60.71675]],[[14.177083,60.71675],[21.453964,60.235284]],[[21.453964,60.235284],[28.598857,63.670101]]],D3=[[[344.342851,53.16803],[344.304027,56.917961],[344.269124,59.751232],[348.859664,59.764675],[348.81649,63.68129],[355.217571,63.692879],[355.19786,66.692871],[6.763764,66.692444],[6.922914,77.692345],[55.308749,77.416313],[54.237035,68.42144],[49.395457,68.466286],[48.90093,57.468498],[38.762337,57.5513],[38.802355,59.051155],[30.795625,59.10461],[30.773624,58.104675],[27.595223,58.122719],[27.533641,54.622883],[22.456014,54.64777],[22.407936,50.647877],[18.605904,50.663235],[18.588408,48.663269],[14.788868,48.675739],[14.776077,46.675754],[4.143279,46.694935],[4.146368,48.694935],[355.276079,48.692917],[355.270557,50.692913],[351.465683,50.687019],[351.452894,53.187004],[344.342851,53.16803]]],V3=a("Cassiopeia","Cassiopeia (a queen of Ethiopia, mythological character)",x3,H3,D3),O3={ra:200.571081,dec:-47.307165},B3=[[[219.902066,-60.833975],[210.955856,-60.373035]],[[210.955856,-60.373035],[204.971958,-53.466361]],[[204.971958,-53.466361],[190.38,-48.959889]],[[190.38,-48.959889],[187.010042,-50.230611]],[[187.010042,-50.230611],[182.08975,-50.722417]],[[182.08975,-50.722417],[170.251833,-54.491028]],[[187.010042,-50.230611],[182.913125,-52.368417]],[[182.913125,-52.368417],[172.941958,-59.442056]],[[172.941958,-59.442056],[173.945542,-63.019833]],[[204.971958,-53.466361],[208.885125,-47.288278]],[[208.885125,-47.288278],[190.38,-48.959889]],[[208.885125,-47.288278],[209.669875,-44.803528]],[[208.885125,-47.288278],[207.404208,-42.473694]],[[207.404208,-42.473694],[209.567833,-42.100694]],[[209.669875,-44.803528],[209.567833,-42.100694]],[[209.567833,-42.100694],[218.876875,-42.15775]],[[218.876875,-42.15775],[224.790417,-42.104139]],[[209.567833,-42.100694],[211.511625,-41.179583]],[[211.511625,-41.179583],[215.1395,-37.885278]],[[215.1395,-37.885278],[211.670617,-36.369958]],[[207.404208,-42.473694],[207.37625,-41.687667]],[[211.670617,-36.369958],[207.37625,-41.687667]],[[207.37625,-41.687667],[202.761125,-39.407278]],[[202.761125,-39.407278],[200.150292,-36.712083]],[[200.150292,-36.712083],[189.969,-39.98725]]],q3=[[[166.479363,-35.674656],[166.456505,-40.424622],[166.337256,-57.174442],[170.155921,-57.184345],[170.084811,-64.684265],[179.057364,-64.695785],[179.070768,-55.695793],[194.334511,-55.677105],[194.43838,-64.676964],[204.680286,-64.63794],[220.514975,-64.539024],[220.234465,-55.540089],[214.656816,-55.579952],[214.450265,-42.580647],[225.79628,-42.494175],[225.63077,-29.994879],[190.4174,-30.18639],[190.427199,-33.686378],[185.387435,-33.693893],[185.390296,-35.69389],[166.479363,-35.674656]]],E3=a("Centaurus","centaur (half human, half horse)",O3,B3,q3),U3={ra:315.529167,dec:65.285278},w3=[[[354.836655,77.632313],[322.164987,70.560715]],[[354.836655,77.632313],[342.420458,66.200722]],[[322.164987,70.560715],[342.420458,66.200722]],[[342.420458,66.200722],[337.292708,58.415194]],[[337.292708,58.415194],[333.757,57.043472]],[[333.757,57.043472],[325.876875,58.780056]],[[325.876875,58.780056],[319.644885,62.585574]],[[322.164987,70.560715],[319.644885,62.585574]],[[319.644885,62.585574],[311.321958,61.836806]],[[311.321958,61.836806],[307.395125,62.994139]]],G3=[[[300.573263,59.851078],[300.4852,61.85062],[306.811868,61.914379],[306.517381,67.412956],[310.334015,67.449028],[309.57304,75.445526],[301.873398,75.370873],[300.6738,80.364777],[313.705874,80.486786],[308.72097,86.465622],[308.331355,86.63063],[343.510666,86.836891],[339.260988,88.663887],[135.832471,87.568916],[130.40275,86.097542],[127.953615,84.610375],[84.536118,85.123947],[80.488895,80.14785],[57.53049,80.398666],[56.72621,77.402596],[55.308749,77.416313],[6.922914,77.692345],[6.763764,66.692444],[355.19786,66.692871],[355.217571,63.692879],[348.81649,63.68129],[348.859664,59.764675],[344.269124,59.751232],[344.304027,56.917961],[335.91093,56.882576],[335.931301,55.632626],[333.137626,55.617844],[333.174676,53.367943],[330.63921,53.353271],[330.602189,55.436489],[309.831361,55.275326],[309.623795,61.357697],[308.660804,61.348644],[308.716593,59.93224],[300.573263,59.851078]]],j3=a("Cepheus","Cepheus (a king of Aethiopia, mythological character)",U3,w3,G3),F3={ra:29.091667,dec:-8.328889},k3=[[[45.569885,4.089737],[44.92875,8.907389]],[[44.92875,8.907389],[41.234875,10.114222]],[[41.234875,10.114222],[38.968708,5.593306]],[[38.968708,5.593306],[40.825163,3.235816]],[[40.825163,3.235816],[45.569885,4.089737]],[[40.825163,3.235816],[39.870625,.328528]],[[39.870625,.328528],[34.836617,-2.97764]],[[34.836617,-2.97764],[27.865137,-10.335044]],[[27.865137,-10.335044],[26.021375,-15.939556]],[[26.021375,-15.939556],[10.897379,-17.986606]],[[10.897379,-17.986606],[4.857,-8.823833]],[[4.857,-8.823833],[17.146917,-10.181917]],[[17.146917,-10.181917],[21.006042,-8.18275]],[[21.006042,-8.18275],[27.865137,-10.335044]]],N3=[[[6.601329,.69254],[6.603788,2.692538],[31.615266,2.597881],[31.665248,10.514395],[50.946411,10.363207],[50.852984,.446972],[50.836683,-1.302952],[41.339221,-1.221027],[41.148759,-23.853603],[26.465999,-23.756258],[26.458889,-24.872909],[359.110565,-24.804201],[359.103299,-6.304202],[6.592702,-6.307455],[6.601329,.69254]]],R3=a("Cetus","the whale",F3,k3,N3),I3={ra:149.074166,dec:-79.217778},W3=[[[125.162042,-77.484583],[124.630292,-76.919972]],[[124.630292,-76.919972],[158.867583,-78.607806]],[[158.867583,-78.607806],[161.446417,-80.540194]],[[161.446417,-80.540194],[184.58725,-79.312278]],[[158.867583,-78.607806],[179.907042,-78.221806]],[[179.907042,-78.221806],[184.58725,-79.312278]]],z3=[[[111.652115,-82.775886],[209.111109,-83.120071],[207.781434,-75.623596],[169.856973,-75.684013],[135.243687,-75.495468],[114.214704,-75.289917],[111.652115,-82.775886]]],_3=a("Chamaeleon","the lizard",I3,W3,z3),K3={ra:224.705197,dec:-62.875106},J3=[[[220.627875,-64.974583],[229.379,-58.800889]],[[220.627875,-64.974583],[230.844417,-59.320694]]],Q3=[[[204.680286,-64.63794],[204.70748,-65.637878],[207.268023,-65.624954],[207.46087,-70.624443],[224.166441,-70.511543],[224.003634,-68.012207],[226.557126,-67.990929],[226.353535,-64.075127],[230.166579,-64.041565],[230.05457,-61.458748],[232.589765,-61.435307],[232.549868,-60.435493],[232.381911,-55.436283],[228.083511,-55.475494],[220.234465,-55.540089],[220.514975,-64.539024],[204.680286,-64.63794]]],Y3=a("Circinus","the compass",K3,J3,Q3),X3={ra:87.521128,dec:-35.469837},Z3=[[[82.803083,-35.470444],[84.912254,-34.07411]],[[84.912254,-34.07411],[87.739968,-35.76831]],[[87.739968,-35.76831],[89.384208,-35.283306]],[[89.384208,-35.283306],[95.528542,-33.436278]],[[87.739968,-35.76831],[89.786625,-42.815111]]],a2=[[[75.974444,-42.82555],[76.254937,-27.077204],[92.992566,-27.278799],[92.899068,-33.028233],[99.90386,-33.112816],[99.708916,-43.111649],[90.951777,-43.005779],[75.974444,-42.82555]]],e2=a("Columba","the dove",X3,Z3,a2),r2={ra:193.5,dec:23},n2=[[[197.497029,17.529447],[197.9705,27.876028]],[[197.9705,27.876028],[186.734708,28.268611]]],c2=[[[179.604535,13.304049],[179.608941,28.304047],[181.595664,28.303963],[181.594506,33.303963],[186.55426,33.30743],[186.557694,31.307434],[200.207748,31.343737],[200.226575,27.843775],[203.953872,27.860313],[204.02893,14.360494],[194.059066,14.322509],[194.062027,13.322513],[179.604535,13.304049]]],u2=a("Coma Berenices","Berenice's hair",r2,n2,c2),s2={ra:278,dec:-39},t2=[[[286.604333,-37.06275],[287.368087,-37.904473]],[[287.368087,-37.904473],[287.507292,-39.340694]],[[287.507292,-39.340694],[287.087208,-40.496639]],[[287.087208,-40.496639],[278.375667,-42.312472]]],o2=[[[269.625464,-37.01746],[289.59632,-36.778565],[289.76964,-45.277565],[272.309017,-45.485973],[269.809284,-45.516346],[269.625464,-37.01746]]],l2=a("Corona Australis","southern crown",s2,t2,o2),i2={ra:234,dec:28},m2=[[[233.2325,31.359167],[231.957211,29.105699]],[[231.957211,29.105699],[233.67195,26.714693]],[[233.67195,26.714693],[235.686,26.295528]],[[235.686,26.295528],[237.39875,26.068556]],[[237.39875,26.068556],[239.397083,26.878028]],[[239.397083,26.878028],[240.360792,29.851083]]],d2=[[[229.099516,25.538057],[229.015919,32.537678],[232.746978,32.572613],[232.643652,39.572113],[237.365427,39.618908],[246.071949,39.71172],[246.279803,26.712872],[243.786706,26.685524],[243.800182,25.685595],[241.805735,25.664141],[229.099516,25.538057]]],b2=a("Corona Borealis","northern crown",i2,m2,d2),h2={ra:185,dec:-21},$2=[[[182.103402,-24.728875],[182.531375,-22.619806]],[[182.531375,-22.619806],[183.951543,-17.541929]],[[183.951543,-17.541929],[187.466063,-16.515431]],[[187.466063,-16.515431],[188.59681,-23.396759]],[[188.59681,-23.396759],[182.531375,-22.619806]]],p2=[[[194.133052,-11.677388],[179.09676,-11.695797],[179.09131,-25.195795],[190.404525,-25.186401],[190.398503,-22.686409],[194.16687,-22.677342],[194.133052,-11.677388]]],g2=a("Corvus","the crow",h2,$2,p2),C2={ra:171.152542,dec:-14.779056},T2=[[[164.943604,-18.298783],[167.914542,-22.825611]],[[164.943604,-18.298783],[169.8355,-14.779056]],[[169.8355,-14.779056],[171.152542,-10.859389]],[[171.152542,-10.859389],[174.170625,-9.80225]],[[167.914542,-22.825611],[171.22075,-17.684028]],[[171.22075,-17.684028],[176.190667,-18.350611]],[[176.190667,-18.350611],[179.004083,-17.150806]],[[169.8355,-14.779056],[171.22075,-17.684028]]],f2=[[[162.827139,-6.662179],[162.807914,-11.662143],[162.77554,-19.662083],[164.030586,-19.666622],[164.008083,-25.166582],[179.09131,-25.195795],[179.09676,-11.695797],[179.098606,-6.695797],[174.342299,-6.691692],[162.827139,-6.662179]]],y2=a("Crater","a type of cup used to water down wine",C2,T2,f2),v2={ra:186.649563,dec:-59.688764},A2=[[[186.649563,-63.099093],[187.791498,-57.113213]],[[191.930263,-59.688764],[183.78632,-58.748927]]],P2=[[[179.070768,-55.695793],[179.057364,-64.695785],[194.43838,-64.676964],[194.334511,-55.677105],[179.070768,-55.695793]]],S2=a("Crux","the cross",v2,A2,P2),M2={ra:305.557091,dec:45.280339},L2=[[[310.35798,45.280339],[305.557091,40.256679]],[[305.557091,40.256679],[299.076667,35.0835]],[[299.076667,35.0835],[292.680351,27.959692]],[[305.557091,40.256679],[296.243658,45.13081]],[[296.243658,45.13081],[292.426417,51.729472]],[[292.426417,51.729472],[289.275458,53.368167]],[[305.557091,40.256679],[311.552843,33.970257]],[[311.552843,33.970257],[318.234083,30.227083]],[[318.234083,30.227083],[326.035,28.743222]],[[310.35798,45.280339],[314.293375,41.167194]],[[314.293375,41.167194],[318.234083,30.227083]],[[310.35798,45.280339],[303.868,47.714194]],[[303.868,47.714194],[292.426417,51.729472]]],x2=[[[290.132646,27.732408],[290.095253,30.232197],[291.598778,30.249315],[291.492605,36.748714],[292.119655,36.755802],[291.983527,43.755035],[288.470307,43.714939],[288.37552,47.714394],[287.120648,47.699867],[286.87646,55.698448],[291.904593,55.756004],[291.80955,58.25547],[297.100554,58.313873],[297.039241,59.813541],[300.573263,59.851078],[308.716593,59.93224],[308.660804,61.348644],[309.623795,61.357697],[309.831361,55.275326],[330.602189,55.436489],[330.63921,53.353271],[330.762663,44.603645],[329.878606,44.598251],[329.88164,44.348263],[329.37664,44.34512],[329.461012,36.595383],[327.319965,36.581547],[327.395181,28.581795],[322.620164,28.548054],[315.083915,28.487188],[315.072584,29.487139],[296.250944,29.301058],[296.272201,27.801174],[290.132646,27.732408]]],H2=a("Cygnus","the swan",M2,L2,x2),D2={ra:309.90953,dec:15.912073},V2=[[[309.90953,15.912073],[311.661958,16.124611]],[[311.661958,16.124611],[310.864792,15.074694]],[[310.864792,15.074694],[309.387235,14.595115]],[[309.387235,14.595115],[309.90953,15.912073]],[[309.387235,14.595115],[308.303216,11.303261]]],O2=[[[309.579877,2.436087],[306.079101,2.402147],[306.013956,8.901824],[303.636675,8.877912],[303.558998,16.127516],[305.186949,16.143963],[305.134049,20.8937],[309.896937,20.939947],[309.907665,19.939997],[317.178783,20.004641],[317.248364,12.338261],[314.618596,12.315764],[314.671096,6.482664],[314.045505,6.477161],[314.081097,2.477318],[309.579877,2.436087]]],B2=a("Delphinus","the dolphin",D2,V2,O2),q2={ra:76.377875,dec:-57.473},E2=[[[64.006208,-51.487083],[68.498833,-55.045]],[[68.498833,-55.045],[83.406333,-62.489861]],[[68.498833,-55.045],[76.377875,-57.473]],[[76.377875,-57.473],[83.406333,-62.489861]],[[83.406333,-62.489861],[86.193417,-65.735528]],[[86.193417,-65.735528],[88.524583,-63.091028]],[[88.524583,-63.091028],[83.406333,-62.489861]]],U2=[[[58.318788,-52.796844],[60.797896,-52.822811],[60.692919,-56.155586],[65.650462,-56.209385],[65.55459,-58.708855],[69.274535,-58.750664],[68.794019,-67.247925],[68.581524,-69.746719],[98.454423,-70.104134],[98.937249,-64.107025],[90.173643,-64.001053],[90.345061,-61.002098],[82.857614,-60.911289],[83.018804,-57.412262],[75.547743,-57.32304],[75.677017,-53.823803],[68.217745,-53.737637],[68.362248,-48.738449],[64.882386,-48.699665],[62.149908,-48.669972],[62.09864,-50.669701],[58.377166,-50.630478],[58.318788,-52.796844]]],w2=a("Dorado","the dolphinfish",q2,E2,U2),G2={ra:257.19665,dec:65.714684},j2=[[[172.85092,69.331075],[188.371,69.788222]],[[188.371,69.788222],[211.097291,64.375851]],[[211.097291,64.375851],[231.232396,58.966063]],[[231.232396,58.966063],[240.47375,58.564444]],[[240.47375,58.564444],[245.997858,61.514214]],[[245.997858,61.514214],[257.19665,65.714684]],[[257.19665,65.714684],[264.237875,68.757194]],[[264.237875,68.757194],[275.189333,71.337722]],[[275.189333,71.337722],[275.25975,72.733694]],[[275.189333,71.337722],[288.13875,67.661541]],[[288.13875,67.661541],[297.042542,70.267833]],[[288.13875,67.661541],[268.382207,56.872646]],[[268.382207,56.872646],[263.043417,55.184111]],[[263.043417,55.184111],[262.608174,52.301389]],[[262.608174,52.301389],[269.151541,51.488896]],[[269.151541,51.488896],[268.382207,56.872646]]],F2=[[[140.615474,72.974136],[142.191195,81.467766],[163.105416,81.339607],[162.818598,79.340179],[174.531584,79.308342],[174.434796,76.308411],[195.820613,76.328911],[196.097474,69.329361],[210.650811,69.399117],[210.820555,65.399651],[235.329565,65.602348],[235.05063,69.600944],[247.841062,69.738304],[247.220707,74.734787],[261.536637,74.903313],[260.217905,79.895348],[267.65602,79.985748],[261.72223,85.94957],[308.72097,86.465622],[313.705874,80.486786],[300.6738,80.364777],[301.873398,75.370873],[309.57304,75.445526],[310.334015,67.449028],[306.517381,67.412956],[306.811868,61.914379],[300.4852,61.85062],[300.573263,59.851078],[297.039241,59.813541],[297.100554,58.313873],[291.80955,58.25547],[291.904593,55.756004],[286.87646,55.698448],[287.120648,47.699867],[274.342375,47.547604],[274.257689,50.547089],[255.786352,50.324444],[255.756826,51.324268],[237.124585,51.11768],[237.084474,52.617477],[229.657374,52.545174],[229.591055,55.044865],[217.251249,54.942238],[217.045254,62.441482],[203.573641,62.359398],[203.550539,63.359344],[181.58156,63.303963],[181.579255,65.803963],[171.849346,65.812607],[171.96137,72.8125],[140.615474,72.974136]]],k2=a("Draco","the dragon",G2,j2,F2),N2={ra:318.2873,dec:7.5628},R2=[[[318.955949,5.247865],[318.619958,10.007722]],[[318.619958,10.007722],[317.585292,10.131944]]],I2=[[[314.081097,2.477318],[314.045505,6.477161],[314.671096,6.482664],[314.618596,12.315764],[317.248364,12.338261],[318.250265,12.346555],[318.244515,13.013201],[321.501102,13.039063],[321.583471,2.53938],[314.081097,2.477318]]],W2=a("Equuleus","the foal (little horse)",N2,R2,I2),z2={ra:56.541,dec:-25.686},_2=[[[76.96244,-5.086446],[71.375583,-3.254611]],[[71.375583,-3.254611],[69.07975,-3.352444]],[[69.07975,-3.352444],[62.966415,-6.83758]],[[62.966415,-6.83758],[59.50736,-13.508516]],[[59.50736,-13.508516],[56.535417,-12.101722]],[[56.535417,-12.101722],[55.812333,-9.765194]],[[55.812333,-9.765194],[53.232687,-9.458259]],[[53.232687,-9.458259],[44.106873,-8.898145]],[[44.106873,-8.898145],[41.274917,-18.572639]],[[41.274917,-18.572639],[42.759674,-21.004018]],[[42.759674,-21.004018],[45.598292,-23.624333]],[[45.598292,-23.624333],[49.879042,-21.757944]],[[49.879042,-21.757944],[53.446875,-21.632806]],[[53.446875,-21.632806],[56.712458,-23.248444]],[[56.712458,-23.248444],[56.915083,-23.874806]],[[56.915083,-23.874806],[58.427833,-24.612222]],[[58.427833,-24.612222],[59.981167,-24.01625]],[[59.981167,-24.01625],[68.377625,-29.765833]],[[68.377625,-29.765833],[68.88766,-30.562341]],[[68.88766,-30.562341],[66.009239,-34.016848]],[[66.009239,-34.016848],[64.473417,-33.798333]],[[64.473417,-33.798333],[57.363667,-36.200111]],[[57.363667,-36.200111],[57.149583,-37.620556]],[[57.149583,-37.620556],[49.97175,-43.071556]],[[49.97175,-43.071556],[44.565311,-40.304672]],[[44.565311,-40.304672],[40.166375,-39.855306]],[[40.166375,-39.855306],[36.74625,-47.703833]],[[36.74625,-47.703833],[28.986792,-51.609583]],[[28.986792,-51.609583],[24.428523,-57.236753]]],K2=[[[55.352905,.403726],[70.85236,.237501],[71.602314,.228916],[71.556359,-3.77082],[77.804395,-3.843729],[77.720031,-10.843229],[75.221751,-10.813805],[75.178715,-14.313553],[73.929798,-14.298972],[73.759296,-27.047979],[71.763331,-27.024877],[71.722419,-29.774643],[69.976651,-29.75466],[69.862375,-36.754005],[65.12985,-36.701023],[65.076413,-39.700729],[59.105885,-39.636826],[59.031365,-43.63644],[52.326773,-43.569405],[52.289003,-45.569221],[46.090771,-45.512478],[46.034514,-48.512234],[41.085309,-48.471004],[41.047694,-50.47086],[37.34121,-50.44257],[37.283346,-53.442356],[33.584144,-53.41647],[33.489425,-57.916157],[21.206229,-57.848415],[21.273263,-52.84856],[24.967355,-52.865856],[24.993847,-50.865921],[28.693257,-50.885922],[28.738323,-47.552723],[36.152948,-47.600494],[36.264014,-39.434216],[46.18726,-39.512898],[46.193322,-39.096256],[53.644284,-39.165096],[53.699605,-35.582035],[57.430512,-35.619244],[57.588901,-24.003378],[41.1