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astronomy.browser.min.js
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astronomy.browser.min.js
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/*
MIT
Astronomy library for JavaScript (browser and Node.js).
https://github.com/cosinekitty/astronomy
MIT License
Copyright (c) 2019-2024 Don Cross <cosinekitty@gmail.com>
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
*/
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.1268,2,-1,0,0);k(-.352,-.37,.001,-.0028,2,-1,0,-1);k(-2.494,-1.17,-.003,-.0017,2,-1,0,-2);k(.36,.2,-.012,-.0043,2,-1,0,-4);k(-1.167,-1.25,.008,-.0106,1,2,0,0);k(-7.412,-6.12,.117,.0484,1,2,0,-2);k(-.311,-.65,-.032,.0044,1,2,0,-4);k(.757,1.82,-.105,.0112,1,-2,0,2);k(2.58,2.32,.027,.0196,1,-2,0,0);k(2.533,2.4,-.014,-.0212,1,-2,0,-2);k(-.344,-.57,-.025,.0036,0,3,0,-2);k(-.992,-.02,0,0,1,0,2,2);k(-45.099,-.02,0,-.001,1,0,2,0);k(-.179,-9.52,0,-.0833,1,0,2,-2);k(-.301,-.33,0,.0014,1,0,2,-4);k(-6.382,-3.37,
0,-.0481,1,0,-2,2);k(39.528,85.13,0,-.7136,1,0,-2,0);k(9.366,.71,0,-.0112,1,0,-2,-2);k(.202,.02,0,0,1,0,-2,-4);k(.415,.1,0,.0013,0,1,2,0);k(-2.152,-2.26,0,-.0066,0,1,2,-2);k(-1.44,-1.3,0,.0014,0,1,-2,2);k(.384,-.04,0,0,0,1,-2,-2);k(1.938,3.6,-.145,.0401,4,0,0,0);k(-.952,-1.58,.052,-.013,4,0,0,-2);k(-.551,-.94,.032,-.0097,3,1,0,0);k(-.482,-.57,.005,-.0045,3,1,0,-2);k(.681,.96,-.026,.0115,3,-1,0,0);k(-.297,-.27,.002,-9E-4,2,2,0,-2);k(.254,.21,-.003,0,2,-2,0,-2);k(-.25,-.22,.004,.0014,1,3,0,-2);k(-3.996,
0,0,4E-4,2,0,2,0);k(.557,-.75,0,-.009,2,0,2,-2);k(-.459,-.38,0,-.0053,2,0,-2,2);k(-1.298,.74,0,4E-4,2,0,-2,0);k(.538,1.14,0,-.0141,2,0,-2,-2);k(.263,.02,0,0,1,1,2,0);k(.426,.07,0,-6E-4,1,1,-2,-2);k(-.304,.03,0,3E-4,1,-1,2,0);k(-.372,-.19,0,-.0027,1,-1,-2,2);k(.418,0,0,0,0,0,4,0);k(-.33,-.04,0,0,3,0,2,0);z=-526.069*l(0,0,1,-2).y;z+=-3.352*l(0,0,1,-4).y;z+=44.297*l(1,0,1,-2).y;z+=-6*l(1,0,1,-4).y;z+=20.599*l(-1,0,1,0).y;z+=-30.598*l(-1,0,1,-2).y;z+=-24.649*l(-2,0,1,0).y;z+=-2*l(-2,0,1,-2).y;z+=-22.571*
l(0,1,1,-2).y;z+=10.985*l(0,-1,1,-2).y;q+=.82*h(.7736-62.5512*a)+.31*h(.0466-125.1025*a)+.35*h(.5785-25.1042*a)+.66*h(.4591+1335.8075*a)+.64*h(.313-91.568*a)+1.14*h(.148+1331.2898*a)+.21*h(.5918+1056.5859*a)+.44*h(.5784+1322.8595*a)+.24*h(.2275-5.7374*a)+.28*h(.2965+2.6929*a)+.33*h(.3132+6.3368*a);a=ha+t/ia;a=(1.000002708+139.978*la)*(18518.511+1.189+ab)*Math.sin(a)-6.24*Math.sin(3*a)+z;return{geo_eclip_lon:U*Q((cb+q/ia)/U),geo_eclip_lat:Math.PI/648E3*a,distance_au:ia*pd/(.999953253*va)}}function ac(a,
b){return[a.rot[0][0]*b[0]+a.rot[1][0]*b[1]+a.rot[2][0]*b[2],a.rot[0][1]*b[0]+a.rot[1][1]*b[1]+a.rot[2][1]*b[2],a.rot[0][2]*b[0]+a.rot[1][2]*b[1]+a.rot[2][2]*b[2]]}function wa(a,b,c){b=Ma(b,c);return ac(b,a)}function Ma(a,b){a=a.tt/36525;var c=84381.406,d=((((3.337E-7*a-4.67E-7)*a-.00772503)*a+.0512623)*a-.025754)*a+c;c*=4.84813681109536E-6;var f=((((-9.51E-8*a+1.32851E-4)*a-.00114045)*a-1.0790069)*a+5038.481507)*a*4.84813681109536E-6;d*=4.84813681109536E-6;var g=((((-5.6E-8*a+1.70663E-4)*a-.00121197)*
a-2.3814292)*a+10.556403)*a*4.84813681109536E-6;a=Math.sin(c);c=Math.cos(c);var h=Math.sin(-f);f=Math.cos(-f);var l=Math.sin(-d);d=Math.cos(-d);var k=Math.sin(g),n=Math.cos(g);g=n*f-h*k*d;var p=n*h*c+k*d*f*c-a*k*l,q=n*h*a+k*d*f*a+c*k*l,t=-k*f-h*n*d,y=-k*h*c+n*d*f*c-a*n*l;k=-k*h*a+n*d*f*a+c*n*l;h*=l;n=-l*f*c-a*d;a=-l*f*a+d*c;if(b===F.Into2000)return new J([[g,p,q],[t,y,k],[h,n,a]]);if(b===F.From2000)return new J([[g,t,h],[p,y,n],[q,k,a]]);throw"Invalid precess direction";}function ca(a){if(!eb||eb.tt!==
a.tt){var b=a.tt/36525,c=15*da(a).ee,d=(.779057273264+.00273781191135448*a.ut+a.ut%1)%1*360;0>d&&(d+=360);b=((c+.014506+((((-3.68E-8*b-2.9956E-5)*b-4.4E-7)*b+1.3915817)*b+4612.156534)*b)/3600+d)%360/15;0>b&&(b+=24);eb={tt:a.tt,st:b}}return eb.st}function bc(a){a=v(a);return ca(a)}function xb(a,b){var c=a.latitude*e.DEG2RAD,d=Math.sin(c);c=Math.cos(c);var f=1/Math.hypot(c,.996647180302104*d),g=a.height/1E3,h=6378.1366*f+g;b=(15*b+a.longitude)*e.DEG2RAD;a=Math.sin(b);b=Math.cos(b);return{pos:[h*c*b/
e.KM_PER_AU,h*c*a/e.KM_PER_AU,(6335.438815127603*f+g)*d/e.KM_PER_AU],vel:[-7.292115E-5*h*c*a*86400/e.KM_PER_AU,7.292115E-5*h*c*b*86400/e.KM_PER_AU,0]}}function xa(a,b,c){b=Na(b,c);return ac(b,a)}function Na(a,b){a=da(a);var c=a.mobl*e.DEG2RAD,d=a.tobl*e.DEG2RAD,f=4.84813681109536E-6*a.dpsi;a=Math.cos(c);c=Math.sin(c);var g=Math.cos(d),h=Math.sin(d);d=Math.cos(f);var l=Math.sin(f);f=-l*a;var k=-l*c,n=l*g,p=d*a*g+c*h,q=d*c*g-a*h;l*=h;var t=d*a*h-c*g;a=d*c*h+a*g;if(b===F.From2000)return new J([[d,n,
l],[f,p,t],[k,q,a]]);if(b===F.Into2000)return new J([[d,f,k],[n,p,q],[l,t,a]]);throw"Invalid precess direction";}function fb(a,b,c){return c===F.Into2000?wa(xa(a,b,c),b,c):xa(wa(a,b,c),b,c)}function cc(a,b){var c=ca(a);b=xb(b,c).pos;return fb(b,a,F.Into2000)}function qd(a){if(!(a instanceof Array)||3!==a.length)return!1;for(var b=0;3>b;++b){if(!(a[b]instanceof Array)||3!==a[b].length)return!1;for(var c=0;3>c;++c)if(!Number.isFinite(a[b][c]))return!1}return!0}function yb(a,b){return new E(a[0],a[1],
a[2],b)}function dc(a,b){b=yb(a,b);var c=b.x*b.x+b.y*b.y,d=Math.sqrt(c+b.z*b.z);if(0===c){if(0===b.z)throw"Indeterminate sky coordinates";return new gb(0,0>b.z?-90:90,d,b)}var f=e.RAD2HOUR*Math.atan2(b.y,b.x);0>f&&(f+=24);return new gb(f,e.RAD2DEG*Math.atan2(a[2],Math.sqrt(c)),d,b)}function ya(a,b){var c=a*e.DEG2RAD;a=Math.cos(c);c=Math.sin(c);return[a*b[0]+c*b[1],a*b[1]-c*b[0],b[2]]}function hb(a,b,c,d,f){a=v(a);za(b);w(c);w(d);var g=Math.sin(b.latitude*e.DEG2RAD),h=Math.cos(b.latitude*e.DEG2RAD),
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p)){c=Math.sin(p*e.DEG2RAD);q=Math.cos(p*e.DEG2RAD);t=Math.sin(d*e.DEG2RAD);d=Math.cos(d*e.DEG2RAD);f=[];for(l=0;3>l;++l)f.push((b[l]-d*a[l])/t*c+a[l]*q);q=Math.hypot(f[0],f[1]);0<q?(c=e.RAD2HOUR*Math.atan2(f[1],f[0]),0>c&&(c+=24)):c=0;q=e.RAD2DEG*Math.atan2(f[2],q)}return new ec(n,90-p,c,q)}function za(a){if(!(a instanceof zb))throw"Not an instance of the Observer class: "+a;w(a.latitude);w(a.longitude);w(a.height);if(-90>a.latitude||90<a.latitude)throw"Latitude "+a.latitude+" is out of range. Must be -90..+90.";
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c.x)/2,(b.y+c.y)/2,(b.z+c.z)/2,(c.x-b.x)/2E-5,(c.y-b.y)/2E-5,(c.z-b.z)/2E-5,a)}function Bb(a){a=v(a);var b=Ra(a);return new I(b.x/82.30056,b.y/82.30056,b.z/82.30056,b.vx/82.30056,b.vy/82.30056,b.vz/82.30056,a)}function ma(a,b,c){var d=1,f=0;a=$jscomp.makeIterator(a);for(var g=a.next();!g.done;g=a.next()){var h=0;g=$jscomp.makeIterator(g.value);for(var l=g.next();!l.done;l=g.next()){var k=$jscomp.makeIterator(l.value);l=k.next().value;var n=k.next().value;k=k.next().value;h+=l*Math.cos(n+b*k)}h*=d;
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a[2],.397776982902*a[1]+.917482137087*a[2])}function hc(a,b,c){var d=c*Math.cos(b);return[d*Math.cos(a),d*Math.sin(a),c*Math.sin(b)]}function Aa(a,b){var c=b.tt/365250,d=ma(a[0],c,!0),f=ma(a[1],c,!1);a=ma(a[2],c,!1);d=hc(d,f,a);return Db(d).ToAstroVector(b)}function Sa(a,b){var c=b/365250,d=ma(a[0],c,!0),f=ma(a[1],c,!1),g=ma(a[2],c,!1),h=Cb(a[0],c),l=Cb(a[1],c);c=Cb(a[2],c);var k=Math.cos(d),n=Math.sin(d),p=Math.cos(f),q=Math.sin(f);a=+(c*p*k)-g*q*k*l-g*p*n*h;h=+(c*p*n)-g*q*n*l+g*p*k*h;l=+(c*q)+g*
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a.tt<na[0][0]?kc(na[0],a.tt,-146):kc(na[50],a.tt,146);c=k.grav.r;d=k.grav.v;k=k.bary}b&&(k||(k=new Da(a.tt)),c=c.sub(k.Sun.r),d=d.sub(k.Sun.v));return new I(c.x,c.y,c.z,d.x,d.y,d.z,a)}function kb(a,b){for(var c=a.tt+18262.5,d=[0,b.al[0]+c*b.al[1],0,0,0,0],f=$jscomp.makeIterator(b.a),g=f.next();!g.done;g=f.next()){var h=$jscomp.makeIterator(g.value);g=h.next().value;var l=h.next().value;h=h.next().value;d[0]+=g*Math.cos(l+c*h)}f=$jscomp.makeIterator(b.l);for(g=f.next();!g.done;g=f.next())h=$jscomp.makeIterator(g.value),
g=h.next().value,l=h.next().value,h=h.next().value,d[1]+=g*Math.sin(l+c*h);d[1]%=U;0>d[1]&&(d[1]+=U);f=$jscomp.makeIterator(b.z);for(g=f.next();!g.done;g=f.next())h=$jscomp.makeIterator(g.value),g=h.next().value,l=h.next().value,h=h.next().value,l+=c*h,d[2]+=g*Math.cos(l),d[3]+=g*Math.sin(l);f=$jscomp.makeIterator(b.zeta);for(g=f.next();!g.done;g=f.next())h=$jscomp.makeIterator(g.value),g=h.next().value,l=h.next().value,h=h.next().value,l+=c*h,d[4]+=g*Math.cos(l),d[5]+=g*Math.sin(l);f=d[0];h=d[1];
g=d[2];l=d[3];c=d[4];d=d[5];var k=Math.sqrt(b.mu/(f*f*f));b=h+g*Math.sin(h)-l*Math.cos(h);do{var n=Math.cos(b);var p=Math.sin(b);n=(h-b+g*p-l*n)/(1-g*n-l*p);b+=n}while(1E-12<=Math.abs(n));n=Math.cos(b);p=Math.sin(b);h=l*n-g*p;var q=-g*n-l*p,t=1/(1+q),y=1/(1+Math.sqrt(1-g*g-l*l));b=f*(n-g-y*l*h);h=f*(p-l+y*g*h);l=k*t*f*(-p-y*l*q);f=k*t*f*(+n+y*g*q);g=2*Math.sqrt(1-c*c-d*d);k=1-2*d*d;n=1-2*c*c;p=2*d*c;a=new I(b*k+h*p,b*p+h*n,(c*h-b*d)*g,l*k+f*p,l*p+f*n,(c*f-l*d)*g,a);return Ea(rd,a)}function Z(a,b){b=
v(b);if(a in M)return Aa(M[a],b);if(a===m.Pluto)return a=Hb(b,!0),new E(a.x,a.y,a.z,b);if(a===m.Sun)return new E(0,0,0,b);if(a===m.Moon){a=Aa(M.Earth,b);var c=Y(b);return new E(a.x+c.x,a.y+c.y,a.z+c.z,b)}if(a===m.EMB)return a=Aa(M.Earth,b),c=Y(b),new E(a.x+c.x/82.30056,a.y+c.y/82.30056,a.z+c.z/82.30056,b);if(a===m.SSB)return a=new E(0,0,0,b),jb(a,b,m.Jupiter,2.825345909524226E-7),jb(a,b,m.Saturn,8.459715185680659E-8),jb(a,b,m.Uranus,1.292024916781969E-8),jb(a,b,m.Neptune,1.524358900784276E-8),a;if(c=
ka(a))return a=new Ba(c.dec,15*c.ra,c.dist),lb(a,b);throw'HelioVector: Unknown body "'+a+'"';}function oa(a,b){var c=ka(a);if(c)return c.dist;b=v(b);return a in M?ma(M[a][2],b.tt/365250,!1):Z(a,b).Length()}function lc(a,b){for(var c=b,d=0,f=0;10>f;++f){var g=a(c);d=g.Length()/e.C_AUDAY;if(1<d)throw"Object is too distant for light-travel solver.";var h=b.AddDays(-d);d=Math.abs(h.tt-c.tt);if(1E-9>d)return g;c=h}throw"Light-travel time solver did not converge: dt = "+d;}function mc(a,b,c,d){A(d);a=v(a);
if(ka(c)){c=Z(c,a);if(d)return b=mb(b,a),d=new E(c.x-b.x,c.y-b.y,c.z-b.z,a),c=e.C_AUDAY/d.Length(),new E(d.x+b.vx/c,d.y+b.vy/c,d.z+b.vz/c,a);b=Z(b,a);return new E(c.x-b.x,c.y-b.y,c.z-b.z,a)}var f=d?new E(0,0,0,a):Z(b,a);var g=new nc(b,c,d,f);return lc(function(h){return g.Position(h)},a)}function W(a,b,c){A(c);b=v(b);switch(a){case m.Earth:return new E(0,0,0,b);case m.Moon:return Y(b);default:return a=mc(b,m.Earth,a,c),a.t=b,a}}function pa(a,b){return new I(a.r.x,a.r.y,a.r.z,a.v.x,a.v.y,a.v.z,b)}
function mb(a,b){b=v(b);switch(a){case m.Sun:return new I(0,0,0,0,0,0,b);case m.SSB:return a=new Da(b.tt),new I(-a.Sun.r.x,-a.Sun.r.y,-a.Sun.r.z,-a.Sun.v.x,-a.Sun.v.y,-a.Sun.v.z,b);case m.Mercury:case m.Venus:case m.Earth:case m.Mars:case m.Jupiter:case m.Saturn:case m.Uranus:case m.Neptune:return a=Sa(M[a],b.tt),pa(a,b);case m.Pluto:return Hb(b,!0);case m.Moon:case m.EMB:var c=Sa(M.Earth,b.tt);a=a==m.Moon?Ra(b):Bb(b);return new I(a.x+c.r.x,a.y+c.r.y,a.z+c.r.z,a.vx+c.v.x,a.vy+c.v.y,a.vz+c.v.z,b);
default:if(ka(a))return a=Z(a,b),new I(a.x,a.y,a.z,0,0,0,b);throw'HelioState: Unsupported body "'+a+'"';}}function sd(a,b,c,d,f){var g=(f+c)/2-d;c=(f-c)/2;if(0==g){if(0==c)return null;d=-d/c;if(-1>d||1<d)return null}else{d=c*c-4*g*d;if(0>=d)return null;f=Math.sqrt(d);d=(-c+f)/(2*g);f=(-c-f)/(2*g);if(-1<=d&&1>=d){if(-1<=f&&1>=f)return null}else if(-1<=f&&1>=f)d=f;else return null}return{t:a+d*b,df_dt:(2*g*d+c)/b}}function K(a,b,c,d){var f=w(d&&d.dt_tolerance_seconds||1);f=Math.abs(f/86400);var g=d&&
d.init_f1||a(b),h=d&&d.init_f2||a(c),l=NaN,k=0;d=d&&d.iter_limit||20;for(var n=!0;;){if(++k>d)throw"Excessive iteration in Search()";var p=new O(b.ut+.5*(c.ut-b.ut)),q=p.ut-b.ut;if(Math.abs(q)<f)return p;n?l=a(p):n=!0;var t=sd(p.ut,c.ut-p.ut,g,l,h);if(t){var y=v(t.t),x=a(y);if(0!==t.df_dt){if(Math.abs(x/t.df_dt)<f)return y;t=1.2*Math.abs(x/t.df_dt);if(t<q/10&&(q=y.AddDays(-t),y=y.AddDays(+t),0>(q.ut-b.ut)*(q.ut-c.ut)&&0>(y.ut-b.ut)*(y.ut-c.ut))){t=a(q);var z=a(y);if(0>t&&0<=z){g=t;h=z;b=q;c=y;l=x;
n=!1;continue}}}}if(0>g&&0<=l)c=p,h=l;else if(0>l&&0<=h)b=p,g=l;else return null}}function Fa(a){for(;-180>=a;)a+=360;for(;180<a;)a-=360;return a}function Ga(a){for(;0>a;)a+=360;for(;360<=a;)a-=360;return a}function oc(a,b,c){w(a);w(c);b=v(b);c=b.AddDays(c);return K(function(d){d=fc(d);return Fa(d.elon-a)},b,c,{dt_tolerance_seconds:.01})}function Jb(a,b,c){if(a===m.Earth||b===m.Earth)throw"The Earth does not have a longitude as seen from itself.";c=v(c);a=W(a,c,!1);a=Qa(a);b=W(b,c,!1);b=Qa(b);return Ga(a.elon-
b.elon)}function Ha(a,b){if(a==m.Earth)throw"The Earth does not have an angle as seen from itself.";var c=v(b);b=W(m.Sun,c,!0);a=W(a,c,!0);return N(b,a)}function qa(a,b){if(a===m.Sun)throw"Cannot calculate heliocentric longitude of the Sun.";a=Z(a,b);return Qa(a).elon}function nb(a,b){if(a===m.Earth)throw"The illumination of the Earth is not defined.";var c=v(b),d=Aa(M.Earth,c);if(a===m.Sun){var f=new E(-d.x,-d.y,-d.z,c);b=new E(0,0,0,c);d=0}else a===m.Moon?(f=Y(c),b=new E(d.x+f.x,d.y+f.y,d.z+f.z,
c)):(b=Z(a,b),f=new E(b.x-d.x,b.y-d.y,b.z-d.z,c)),d=N(f,b);var g=f.Length(),h=b.Length();if(a===m.Sun)var l=td+5*Math.log10(g);else if(a===m.Moon)a=d*e.DEG2RAD,l=a*a,a=-12.717+1.49*Math.abs(a)+.0431*l*l,l=a+=5*Math.log10(g/(385000.6/e.KM_PER_AU)*h);else if(a===m.Saturn){var k=d;a=Qa(f);l=28.06*e.DEG2RAD;var n=e.DEG2RAD*a.elat;a=Math.asin(Math.sin(n)*Math.cos(l)-Math.cos(n)*Math.sin(l)*Math.sin(e.DEG2RAD*a.elon-e.DEG2RAD*(169.51+3.82E-5*c.tt)));l=Math.sin(Math.abs(a));k=-9+.044*k+l*(-2.6+1.2*l)+5*
Math.log10(h*g);a*=e.RAD2DEG;l=k;k=a}else{var p=n=l=0;switch(a){case m.Mercury:a=-.6;l=4.98;n=-4.88;p=3.02;break;case m.Venus:163.6>d?(a=-4.47,l=1.03,n=.57,p=.13):(a=.98,l=-1.02);break;case m.Mars:a=-1.52;l=1.6;break;case m.Jupiter:a=-9.4;l=.5;break;case m.Uranus:a=-7.19;l=.25;break;case m.Neptune:a=-6.87;break;case m.Pluto:a=-1;l=4;break;default:throw"VisualMagnitude: unsupported body "+a;}var q=d/100;l=a+q*(l+q*(n+q*p))+5*Math.log10(h*g)}return new pc(c,l,d,h,g,f,b,k)}function Va(a){if(a===m.Earth)throw"The Earth does not have a synodic period as seen from itself.";
if(a===m.Moon)return 29.530588;var b=aa[a];if(!b)throw"Not a valid planet name: "+a;a=aa.Earth.OrbitalPeriod;return Math.abs(a/(a/b.OrbitalPeriod-1))}function Ia(a,b,c){function d(n){var p=qa(a,n);n=qa(m.Earth,n);return Fa(g*(n-p)-b)}w(b);var f=aa[a];if(!f)throw"Cannot search relative longitude because body is not a planet: "+a;if(a===m.Earth)throw"Cannot search relative longitude for the Earth (it is always 0)";var g=f.OrbitalPeriod>aa.Earth.OrbitalPeriod?1:-1;f=Va(a);c=v(c);var h=d(c);0<h&&(h-=
360);for(var l=0;100>l;++l){var k=-h/360*f;c=c.AddDays(k);if(1>86400*Math.abs(k))return c;k=h;h=d(c);30>Math.abs(k)&&k!==h&&(k/=k-h,.5<k&&2>k&&(f*=k))}throw"Relative longitude search failed to converge for "+a+" near "+c.toString()+" (error_angle = "+h+").";}function Kb(a){return Jb(m.Moon,m.Sun,a)}function Wa(a,b,c){function d(l){l=Kb(l);return Fa(l-a)}w(a);w(c);b=v(b);var f=d(b);if(0>c){0>f&&(f+=360);var g=-(29.530588*f)/360;f=g+1.5;if(f<c)return null;var h=Math.max(c,g-1.5)}else{0<f&&(f-=360);
g=-(29.530588*f)/360;h=g-1.5;if(h>c)return null;f=Math.min(c,g+1.5)}c=b.AddDays(h);b=b.AddDays(f);return K(d,c,b,{dt_tolerance_seconds:.1})}function qc(a){var b=Kb(a);b=(Math.floor(b/90)+1)%4;a=Wa(90*b,a,10);if(!a)throw"Cannot find moon quarter";return new rc(b,a)}function sc(a){if(!Number.isFinite(a)||-500>a||1E5<a)throw"Invalid elevation: "+a;if(11E3>=a){var b=288.15-.0065*a;a=101325*Math.pow(288.15/b,-5.25577)}else 2E4>=a?(b=216.65,a=22632*Math.exp(-1.5768832E-4*(a-11E3))):(b=216.65+.001*(a-2E4),
a=5474.87*Math.pow(216.65/b,34.16319));return new tc(a,b,a/b/(101325/288.15))}function Lb(a,b,c,d,f,g,h){if(0>g&&0<=h)return new ud(d,f,g,h);if(0<=g&&0>h)return null;if(17<a)throw"Excessive recursion in rise/set ascent search.";var l=f.ut-d.ut;if(1>86400*l||Math.min(Math.abs(g),Math.abs(h))>l/2*c)return null;l=new O((d.ut+f.ut)/2);var k=b(l);return Lb(1+a,b,c,d,l,g,k)||Lb(1+a,b,c,l,f,k,h)}function vd(a,b){if(-90>b||90<b)throw"Invalid geographic latitude: "+b;switch(a){case m.Moon:a=4.5;var c=8.2;
break;case m.Sun:a=.8;c=.5;break;case m.Mercury:a=-1.6;c=1;break;case m.Venus:a=-.8;c=.6;break;case m.Mars:a=-.5;c=.4;break;case m.Jupiter:case m.Saturn:case m.Uranus:case m.Neptune:case m.Pluto:a=-.2;c=.2;break;case m.Star1:case m.Star2:case m.Star3:case m.Star4:case m.Star5:case m.Star6:case m.Star7:case m.Star8:a=-.008;c=.008;break;default:throw"Body not allowed for altitude search: "+a;}b*=e.DEG2RAD;return Math.abs((360.98564540070413-a)*Math.cos(b))+Math.abs(c*Math.sin(b))}function uc(a,b,c,
d,f,g,h){function l(x){var z=Pa(a,x,b,!0,!0);x=hb(x,b,z.ra,z.dec).altitude+e.RAD2DEG*Math.asin(g/z.dist);return c*(x-h)}za(b);w(f);w(g);w(h);if(-90>h||90<h)throw"Invalid target altitude angle: "+h;for(var k=vd(a,b.latitude),n=d=v(d),p=d,q=l(n),t=q;;){0>f?(n=p.AddDays(-.42),q=l(n)):(p=n.AddDays(.42),t=l(p));var y=Lb(0,l,k,n,p,q,t);if(y){if(k=K(l,y.tx,y.ty,{dt_tolerance_seconds:.1,init_f1:y.ax,init_f2:y.ay})){if(0>f){if(k.ut<d.ut+f)return null}else if(k.ut>d.ut+f)return null;return k}throw"Rise/set search failed after finding ascent: t1="+
n+", t2="+p+", a1="+q+", a2="+t;}if(0>f){if(n.ut<d.ut+f)return null;p=n;t=q}else{if(p.ut>d.ut+f)return null;n=p;q=t}}}function vc(a,b){b=v(b);var c=Jb(a,m.Sun,b);if(180<c){var d="morning";c=360-c}else d="evening";a=Ha(a,b);return new wc(b,d,a,c)}function xc(a){function b(l){var k=l.AddDays(-5E-4);l=l.AddDays(5E-4);k=ea(k).distance_au;return(ea(l).distance_au-k)/.001}function c(l){return-b(l)}a=v(a);for(var d=b(a),f=0;59.061176>5*f;++f){var g=a.AddDays(5),h=b(g);if(0>=d*h){if(0>d||0<h){a=K(b,a,g,{init_f1:d,
init_f2:h});if(!a)throw"SearchLunarApsis INTERNAL ERROR: perigee search failed!";d=ea(a).distance_au;return new Xa(a,0,d)}if(0<d||0>h){a=K(c,a,g,{init_f1:-d,init_f2:-h});if(!a)throw"SearchLunarApsis INTERNAL ERROR: apogee search failed!";d=ea(a).distance_au;return new Xa(a,1,d)}throw"SearchLunarApsis INTERNAL ERROR: cannot classify apsis event!";}a=g;d=h}throw"SearchLunarApsis INTERNAL ERROR: could not find apsis within 2 synodic months of start date.";}function yc(a,b,c,d){for(var f=b===Ja.Apocenter?
1:-1;;){d/=9;if(d<1/1440)return c=c.AddDays(d/2),a=oa(a,c),new Xa(c,b,a);for(var g=-1,h=0,l=0;10>l;++l){var k=c.AddDays(l*d);k=f*oa(a,k);if(0==l||k>h)g=l,h=k}c=c.AddDays((g-1)*d);d*=2}}function wd(a,b){var c=b.AddDays(-30/360*aa[a].OrbitalPeriod),d=b.AddDays(.75*aa[a].OrbitalPeriod),f=c,g=c,h=-1,l=-1;d=(d.ut-c.ut)/99;for(var k=0;100>k;++k){var n=c.AddDays(k*d),p=oa(a,n);0===k?l=h=p:(p>l&&(l=p,g=n),p<h&&(h=p,f=n))}c=yc(a,0,f.AddDays(-2*d),4*d);a=yc(a,1,g.AddDays(-2*d),4*d);if(c.time.tt>=b.tt)return a.time.tt>=
b.tt&&a.time.tt<c.time.tt?a:c;if(a.time.tt>=b.tt)return a;throw"Internal error: failed to find Neptune apsis.";}function zc(a,b){function c(p){var q=p.AddDays(-5E-4);p=p.AddDays(5E-4);q=oa(a,q);return(oa(a,p)-q)/.001}function d(p){return-c(p)}b=v(b);if(a===m.Neptune||a===m.Pluto)return wd(a,b);for(var f=aa[a].OrbitalPeriod,g=f/6,h=c(b),l=0;l*g<2*f;++l){var k=b.AddDays(g),n=c(k);if(0>=h*n){f=g=void 0;if(0>h||0<n)g=c,f=Ja.Pericenter;else if(0<h||0>n)g=d,f=Ja.Apocenter;else throw"Internal error with slopes in SearchPlanetApsis";
b=K(g,b,k);if(!b)throw"Failed to find slope transition in planetary apsis search.";h=oa(a,b);return new Xa(b,f,h)}b=k;h=n}throw"Internal error: should have found planetary apsis within 2 orbital periods.";}function Ka(a){return new J([[a.rot[0][0],a.rot[1][0],a.rot[2][0]],[a.rot[0][1],a.rot[1][1],a.rot[2][1]],[a.rot[0][2],a.rot[1][2],a.rot[2][2]]])}function ja(a,b){return new J([[b.rot[0][0]*a.rot[0][0]+b.rot[1][0]*a.rot[0][1]+b.rot[2][0]*a.rot[0][2],b.rot[0][1]*a.rot[0][0]+b.rot[1][1]*a.rot[0][1]+
b.rot[2][1]*a.rot[0][2],b.rot[0][2]*a.rot[0][0]+b.rot[1][2]*a.rot[0][1]+b.rot[2][2]*a.rot[0][2]],[b.rot[0][0]*a.rot[1][0]+b.rot[1][0]*a.rot[1][1]+b.rot[2][0]*a.rot[1][2],b.rot[0][1]*a.rot[1][0]+b.rot[1][1]*a.rot[1][1]+b.rot[2][1]*a.rot[1][2],b.rot[0][2]*a.rot[1][0]+b.rot[1][2]*a.rot[1][1]+b.rot[2][2]*a.rot[1][2]],[b.rot[0][0]*a.rot[2][0]+b.rot[1][0]*a.rot[2][1]+b.rot[2][0]*a.rot[2][2],b.rot[0][1]*a.rot[2][0]+b.rot[1][1]*a.rot[2][1]+b.rot[2][1]*a.rot[2][2],b.rot[0][2]*a.rot[2][0]+b.rot[1][2]*a.rot[2][1]+
b.rot[2][2]*a.rot[2][2]]])}function lb(a,b){b=v(b);var c=a.lat*e.DEG2RAD,d=a.lon*e.DEG2RAD,f=a.dist*Math.cos(c);return new E(f*Math.cos(d),f*Math.sin(d),a.dist*Math.sin(c),b)}function Mb(a){var b=Nb(a);return new gb(b.lon/15,b.lat,b.dist,a)}function Nb(a){var b=a.x*a.x+a.y*a.y,c=Math.sqrt(b+a.z*a.z);if(0===b){if(0===a.z)throw"Zero-length vector not allowed.";var d=0;a=0>a.z?-90:90}else d=e.RAD2DEG*Math.atan2(a.y,a.x),0>d&&(d+=360),a=e.RAD2DEG*Math.atan2(a.z,Math.sqrt(b));return new Ba(a,d,c)}function Ac(a){a=
360-a;360<=a?a-=360:0>a&&(a+=360);return a}function Oa(a,b){w(b);if(-90>b||90<b)return 0;if("normal"===a||"jplhor"===a){var c=b;-1>c&&(c=-1);c=1.02/Math.tan((c+10.3/(c+5.11))*e.DEG2RAD)/60;"normal"===a&&-1>b&&(c*=(b+90)/89)}else{if(a)throw"Invalid refraction option: "+a;c=0}return c}function Bc(a,b){if(-90>b||90<b)return 0;for(var c=b-Oa(a,b);;){var d=c+Oa(a,c)-b;if(1E-14>Math.abs(d))return c-b;c-=d}}function Ya(a,b){return new E(a.rot[0][0]*b.x+a.rot[1][0]*b.y+a.rot[2][0]*b.z,a.rot[0][1]*b.x+a.rot[1][1]*
b.y+a.rot[2][1]*b.z,a.rot[0][2]*b.x+a.rot[1][2]*b.y+a.rot[2][2]*b.z,b.t)}function Ea(a,b){return new I(a.rot[0][0]*b.x+a.rot[1][0]*b.y+a.rot[2][0]*b.z,a.rot[0][1]*b.x+a.rot[1][1]*b.y+a.rot[2][1]*b.z,a.rot[0][2]*b.x+a.rot[1][2]*b.y+a.rot[2][2]*b.z,a.rot[0][0]*b.vx+a.rot[1][0]*b.vy+a.rot[2][0]*b.vz,a.rot[0][1]*b.vx+a.rot[1][1]*b.vy+a.rot[2][1]*b.vz,a.rot[0][2]*b.vx+a.rot[1][2]*b.vy+a.rot[2][2]*b.vz,b.t)}function Cc(){return new J([[1,0,0],[0,.9174821430670688,-.3977769691083922],[0,.3977769691083922,
.9174821430670688]])}function ob(a){a=v(a);var b=Ma(a,F.From2000);a=Na(a,F.From2000);return ja(b,a)}function pb(a){a=v(a);var b=Na(a,F.Into2000);a=Ma(a,F.Into2000);return ja(b,a)}function Ob(a,b){a=v(a);var c=Math.sin(b.latitude*e.DEG2RAD),d=Math.cos(b.latitude*e.DEG2RAD),f=Math.sin(b.longitude*e.DEG2RAD),g=Math.cos(b.longitude*e.DEG2RAD);b=[d*g,d*f,c];c=[-c*g,-c*f,d];f=[f,-g,0];a=-15*ca(a);b=ya(a,b);c=ya(a,c);a=ya(a,f);return new J([[c[0],a[0],b[0]],[c[1],a[1],b[1]],[c[2],a[2],b[2]]])}function Dc(a,
b){a=Ob(a,b);return Ka(a)}function Ec(a,b){a=v(a);b=Dc(a,b);a=pb(a);return ja(b,a)}function Fc(a){a=pb(a);var b=Cc();return ja(a,b)}function Gc(a){a=Fc(a);return Ka(a)}function Hc(a,b){a=v(a);var c=Gc(a);a=Ob(a,b);return ja(c,a)}function Ic(a){var b=da(v(a)).tobl*e.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new J([[1,0,0],[0,+a,+b],[0,-b,+a]])}function Jc(a){var b=da(v(a)).tobl*e.DEG2RAD;a=Math.cos(b);b=Math.sin(b);return new J([[1,0,0],[0,+a,-b],[0,+b,+a]])}function Za(a,b,c,d){var f=(d.x*c.x+d.y*
c.y+d.z*c.z)/(d.x*d.x+d.y*d.y+d.z*d.z);return new xd(b,f,e.KM_PER_AU*Math.hypot(f*d.x-c.x,f*d.y-c.y,f*d.z-c.z),695700-(1+f)*(695700-a),-695700+(1+f)*(695700+a),c,d)}function qb(a){var b=W(m.Sun,a,!0);b=new E(-b.x,-b.y,-b.z,b.t);var c=Y(a);return Za(6459,a,c,b)}function Kc(a){var b=W(m.Sun,a,!0),c=Y(a),d=new E(-c.x,-c.y,-c.z,c.t);c.x-=b.x;c.y-=b.y;c.z-=b.z;return Za(1737.4,a,d,c)}function Pb(a,b){var c=cc(a,b);b=W(m.Sun,a,!0);var d=Y(a);c=new E(c[0]-d.x,c[1]-d.y,c[2]-d.z,a);d.x-=b.x;d.y-=b.y;d.z-=
b.z;return Za(1737.4,a,c,d)}function rb(a,b,c){a=W(a,c,!0);var d=W(m.Sun,c,!0),f=new E(a.x-d.x,a.y-d.y,a.z-d.z,c);d.x=-a.x;d.y=-a.y;d.z=-a.z;return Za(b,c,d,f)}function Qb(a,b){var c=1/86400,d=b.AddDays(-c);b=b.AddDays(+c);d=a(d);return(a(b).r-d.r)/c}function yd(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=K(function(c){return Qb(qb,c)},b,a);if(!b)throw"Failed to find peak Earth shadow time.";return qb(b)}function zd(a){var b=a.AddDays(-.03);a=a.AddDays(.03);b=K(function(c){return Qb(Kc,c)},b,a);if(!b)throw"Failed to find peak Moon shadow time.";
return Kc(b)}function Ad(a,b,c){var d=c.AddDays(-1);c=c.AddDays(1);d=K(function(f){var g=1/86400,h=rb(a,b,f.AddDays(-g));return(rb(a,b,f.AddDays(+g)).r-h.r)/g},d,c);if(!d)throw"Failed to find peak planet shadow time.";return rb(a,b,d)}function Bd(a,b){function c(g){return Pb(g,b)}var d=a.AddDays(-.2),f=a.AddDays(.2);d=K(function(g){return Qb(c,g)},d,f);if(!d)throw"PeakLocalMoonShadow: search failure for search_center_time = "+a;return Pb(d,b)}function Rb(a,b,c){var d=c/1440;c=a.AddDays(-d);d=a.AddDays(+d);
c=K(function(f){return-(qb(f).r-b)},c,a);a=K(function(f){return+(qb(f).r-b)},a,d);if(!c||!a)throw"Failed to find shadow semiduration";return 720*(a.ut-c.ut)}function Sb(a){a=ea(a);return e.RAD2DEG*a.geo_eclip_lat}function Lc(a,b,c){if(0>=a)throw"Radius of first disc must be positive.";if(0>=b)throw"Radius of second disc must be positive.";if(0>c)throw"Distance between discs is not allowed to be negative.";if(c>=a+b)return 0;if(0==c)return a<=b?1:b*b/(a*a);var d=(a*a-b*b+c*c)/(2*c),f=a*a-d*d;if(0>=
f)return a<=b?1:b*b/(a*a);f=Math.sqrt(f);return(a*a*Math.acos(d/a)-d*f+(b*b*Math.acos((c-d)/b)-(c-d)*f))/(Math.PI*a*a)}function Mc(a,b){var c=new E(a.x+b.x,a.y+b.y,a.z+b.z,a.t);a=Math.asin(Nc/c.Length());var d=Math.asin(Cd/b.Length());b=N(b,c);b=Lc(a,d,b*e.DEG2RAD);return Math.min(.9999,b)}function Oc(a){a=v(a);for(var b=0;12>b;++b){var c=Wa(180,a,40);if(!c)throw"Cannot find full moon.";a=Sb(c);if(1.8>Math.abs(a)&&(a=yd(c),a.r<a.p+1737.4)){b=S.Penumbral;var d=c=0,f=0,g=Rb(a.time,a.p+1737.4,200);a.r<
a.k+1737.4&&(b=S.Partial,f=Rb(a.time,a.k+1737.4,g),a.r+1737.4<a.k?(b=S.Total,c=1,d=Rb(a.time,a.k-1737.4,f)):c=Lc(1737.4,a.k,a.r));return new Pc(b,c,a.time,g,f,d)}a=c.AddDays(10)}throw"Failed to find lunar eclipse within 12 full moons.";}function Qc(a){a=v(a);var b;for(b=0;12>b;++b){var c=Wa(0,a,40);if(!c)throw"Cannot find new moon";a=Sb(c);if(1.8>Math.abs(a)&&(a=zd(c),a.r<a.p+6371)){var d=void 0,f=void 0,g=S.Partial;b=a.time;c=a.r;var h=ob(a.time),l=Ya(h,a.dir),k=Ya(h,a.target);l.x*=e.KM_PER_AU;l.y*=
e.KM_PER_AU;l.z*=e.KM_PER_AU/.996647180302104;k.x*=e.KM_PER_AU;k.y*=e.KM_PER_AU;k.z*=e.KM_PER_AU/.996647180302104;var n=l.x*l.x+l.y*l.y+l.z*l.z,p=-2*(l.x*k.x+l.y*k.y+l.z*k.z),q=p*p-4*n*(k.x*k.x+k.y*k.y+k.z*k.z-4.068062648825956E7);if(0<q){f=(-p-Math.sqrt(q))/(2*n);g=f*l.x-k.x;n=f*l.y-k.y;l=.996647180302104*(f*l.z-k.z);f=.9933056020041345*Math.hypot(g,n);f=0==f?0<l?90:-90:e.RAD2DEG*Math.atan(l/f);d=ca(b);d=(e.RAD2DEG*Math.atan2(n,g)-15*d)%360;-180>=d?d+=360:180<d&&(d-=360);h=Ka(h);l=new E(g/e.KM_PER_AU,
n/e.KM_PER_AU,l/e.KM_PER_AU,a.time);l=Ya(h,l);l.x+=a.target.x;l.y+=a.target.y;l.z+=a.target.z;h=Za(1736,a.time,l,a.dir);if(1E-9<h.r||0>h.r)throw"Unexpected shadow distance from geoid intersection = "+h.r;g=.014<h.k?S.Total:S.Annular;a=g===S.Total?1:Mc(a.dir,l)}else a=void 0;return new Rc(g,a,b,c,f,d)}a=c.AddDays(10)}throw"Failed to find solar eclipse within 12 full moons.";}function Sc(a){return a.p-a.r}function Tc(a){return Math.abs(a.k)-a.r}function sb(a,b,c,d,f){d=K(function(g){g=Pb(g,a);return b*
c(g)},d,f);if(!d)throw"Local eclipse transition search failed.";return Uc(a,d)}function Uc(a,b){var c=Pa(m.Sun,b,a,!0,!0);a=hb(b,a,c.ra,c.dec,"normal").altitude;return new Vc(b,a)}function Wc(a,b){a=v(a);for(za(b);;){a=Wa(0,a,40);if(!a)throw"Cannot find next new moon";var c=Sb(a);if(1.8>Math.abs(c)){var d=Bd(a,b);if(d.r<d.p){var f=c=void 0;var g=b;var h=Uc(g,d.time),l=d.time.AddDays(-.2),k=d.time.AddDays(.2),n=sb(g,1,Sc,l,d.time),p=sb(g,-1,Sc,d.time,k);d.r<Math.abs(d.k)?(l=d.time.AddDays(-.01),k=
d.time.AddDays(.01),f=sb(g,1,Tc,l,d.time),c=sb(g,-1,Tc,d.time,k),g=.014<d.k?S.Total:S.Annular):g=S.Partial;d=g===S.Total?1:Mc(d.dir,d.target);c=new Xc(g,d,n,f,h,c,p);if(0<c.partial_begin.altitude||0<c.partial_end.altitude)return c}}a=a.AddDays(10)}}function Yc(a,b,c,d,f){c=K(function(g){g=rb(a,b,g);return f*(g.r-g.p)},c,d);if(!c)throw"Planet transit boundary search failed";return c}function Zc(a,b){b=v(b);switch(a){case m.Mercury:var c=2439.7;break;case m.Venus:c=6051.8;break;default:throw"Invalid body: "+
a;}for(;;){var d=Ia(a,0,b);if(.4>Ha(a,d)&&(b=Ad(a,c,d),b.r<b.p)){d=b.time.AddDays(-1);d=Yc(a,c,d,b.time,-1);var f=b.time.AddDays(1);c=Yc(a,c,b.time,f,1);a=60*Ha(a,b.time);return new $c(d,b.time,c,a)}b=d.AddDays(10)}}function ad(a){var b=v(a),c=ib(b);for(a={};;a={$jscomp$loop$prop$kind$33:a.$jscomp$loop$prop$kind$33}){var d=b.AddDays(10),f=ib(d);if(0>=c.lat*f.lat){a.$jscomp$loop$prop$kind$33=f.lat>c.lat?ra.Ascending:ra.Descending;b=K(function(g){return function(h){return g.$jscomp$loop$prop$kind$33*
ib(h).lat}}(a),b,d);if(!b)throw"Could not find moon node.";return new bd(a.$jscomp$loop$prop$kind$33,b)}b=d;c=f}}function cd(a,b,c,d,f){if(1>a||5<a)throw"Invalid lagrange point "+a;if(!Number.isFinite(c)||0>=c)throw"Major mass must be a positive number.";if(!Number.isFinite(f)||0>=f)throw"Minor mass must be a negative number.";var g=d.x-b.x,h=d.y-b.y,l=d.z-b.z,k=g*g+h*h+l*l,n=Math.sqrt(k),p=d.vx-b.vx,q=d.vy-b.vy;d=d.vz-b.vz;if(4===a||5===a){k=h*d-l*q;c=l*p-g*d;var t=g*q-h*p,y=c*l-t*h;t=t*g-k*l;k=
k*h-c*g;c=Math.sqrt(y*y+t*t+k*k);y/=c;t/=c;k/=c;g/=n;h/=n;l/=n;a=4==a?.8660254037844386:-.8660254037844386;c=.5*g+a*y;f=.5*h+a*t;var x=.5*l+a*k,z=p*g+q*h+d*l;p=p*y+q*t+d*k;b=new I(n*c,n*f,n*x,z*c+p*(.5*y-a*g),z*f+p*(.5*t-a*h),z*x+p*(.5*k-a*l),b.t)}else{y=f/(c+f)*-n;t=c/(c+f)*+n;k=(c+f)/(k*n);if(1===a||2===a)x=c/(c+f)*Math.cbrt(f/(3*c)),c=-c,1==a?(x=1-x,a=+f):(x=1+x,a=-f);else if(3===a)x=(7/12*f-c)/(f+c),c=+c,a=+f;else throw"Invalid Langrage point "+a+". Must be an integer 1..5.";f=n*x-y;do x=f-y,
z=f-t,x=(k*f+c/(x*x)+a/(z*z))/(k-2*c/(x*x*x)-2*a/(z*z*z)),f-=x;while(1E-14<Math.abs(x/n));x=(f-y)/n;b=new I(x*g,x*h,x*l,x*p,x*q,x*d,b.t)}return b}Object.defineProperty(e,"__esModule",{value:!0});e.GeoEmbState=e.GeoMoonState=e.EclipticGeoMoon=e.GeoMoon=e.Ecliptic=e.ObserverGravity=e.VectorObserver=e.ObserverState=e.ObserverVector=e.Equator=e.SunPosition=e.Observer=e.Horizon=e.EclipticCoordinates=e.HorizontalCoordinates=e.MakeRotation=e.RotationMatrix=e.EquatorialCoordinates=e.Spherical=e.StateVector=
e.Vector=e.SiderealTime=e.Libration=e.LibrationInfo=e.CalcMoonCount=e.e_tilt=e.MakeTime=e.AstroTime=e.SetDeltaTFunction=e.DeltaT_JplHorizons=e.DeltaT_EspenakMeeus=e.PlanetOrbitalPeriod=e.DefineStar=e.Body=e.AngleBetween=e.MassProduct=e.CALLISTO_RADIUS_KM=e.GANYMEDE_RADIUS_KM=e.EUROPA_RADIUS_KM=e.IO_RADIUS_KM=e.JUPITER_MEAN_RADIUS_KM=e.JUPITER_POLAR_RADIUS_KM=e.JUPITER_EQUATORIAL_RADIUS_KM=e.RAD2HOUR=e.RAD2DEG=e.HOUR2RAD=e.DEG2RAD=e.AU_PER_LY=e.KM_PER_AU=e.C_AUDAY=void 0;e.VectorFromHorizon=e.HorizonFromVector=
e.SphereFromVector=e.EquatorFromVector=e.VectorFromSphere=e.Pivot=e.IdentityMatrix=e.CombineRotation=e.InverseRotation=e.NextPlanetApsis=e.SearchPlanetApsis=e.NextLunarApsis=e.SearchLunarApsis=e.Apsis=e.ApsisKind=e.SearchPeakMagnitude=e.SearchMaxElongation=e.Elongation=e.ElongationEvent=e.Seasons=e.SeasonInfo=e.HourAngle=e.SearchHourAngle=e.HourAngleEvent=e.SearchAltitude=e.SearchRiseSet=e.Atmosphere=e.AtmosphereInfo=e.NextMoonQuarter=e.SearchMoonQuarter=e.MoonQuarter=e.SearchMoonPhase=e.MoonPhase=
e.SearchRelativeLongitude=e.Illumination=e.IlluminationInfo=e.EclipticLongitude=e.AngleFromSun=e.PairLongitude=e.SearchSunLongitude=e.Search=e.HelioState=e.BaryState=e.GeoVector=e.BackdatePosition=e.CorrectLightTravel=e.HelioDistance=e.HelioVector=e.JupiterMoons=e.JupiterMoonsInfo=void 0;e.GravitySimulator=e.LagrangePointFast=e.LagrangePoint=e.RotationAxis=e.AxisInfo=e.NextMoonNode=e.SearchMoonNode=e.NodeEventInfo=e.NodeEventKind=e.NextTransit=e.SearchTransit=e.TransitInfo=e.NextLocalSolarEclipse=
e.SearchLocalSolarEclipse=e.LocalSolarEclipseInfo=e.EclipseEvent=e.NextGlobalSolarEclipse=e.SearchGlobalSolarEclipse=e.NextLunarEclipse=e.GlobalSolarEclipseInfo=e.SearchLunarEclipse=e.LunarEclipseInfo=e.EclipseKind=e.Constellation=e.ConstellationInfo=e.Rotation_EQD_ECT=e.Rotation_ECT_EQD=e.Rotation_GAL_EQJ=e.Rotation_EQJ_GAL=e.Rotation_HOR_ECL=e.Rotation_ECL_HOR=e.Rotation_ECL_EQD=e.Rotation_EQD_ECL=e.Rotation_EQJ_HOR=e.Rotation_HOR_EQJ=e.Rotation_HOR_EQD=e.Rotation_EQD_HOR=e.Rotation_EQD_EQJ=e.Rotation_ECT_EQJ=
e.Rotation_EQJ_ECT=e.Rotation_EQJ_EQD=e.Rotation_ECL_EQJ=e.Rotation_EQJ_ECL=e.RotateState=e.RotateVector=e.InverseRefraction=e.Refraction=void 0;e.C_AUDAY=173.1446326846693;e.KM_PER_AU=1.4959787069098932E8;e.AU_PER_LY=63241.07708807546;e.DEG2RAD=.017453292519943295;e.HOUR2RAD=.26179938779914946;e.RAD2DEG=57.29577951308232;e.RAD2HOUR=3.819718634205488;e.JUPITER_EQUATORIAL_RADIUS_KM=71492;e.JUPITER_POLAR_RADIUS_KM=66854;e.JUPITER_MEAN_RADIUS_KM=69911;e.IO_RADIUS_KM=1821.6;e.EUROPA_RADIUS_KM=1560.8;
e.GANYMEDE_RADIUS_KM=2631.2;e.CALLISTO_RADIUS_KM=2410.3;var dd=new Date("2000-01-01T12:00:00Z"),U=2*Math.PI,ia=180/Math.PI*3600,td=-.17-5*Math.log10(648E3/Math.PI),Nc=695700/e.KM_PER_AU,pd=6378.1366/e.KM_PER_AU,Dd=1738.1/e.KM_PER_AU,Cd=1736/e.KM_PER_AU,Ed=34/60;e.MassProduct=C;e.AngleBetween=N;var m;(function(a){a.Sun="Sun";a.Moon="Moon";a.Mercury="Mercury";a.Venus="Venus";a.Earth="Earth";a.Mars="Mars";a.Jupiter="Jupiter";a.Saturn="Saturn";a.Uranus="Uranus";a.Neptune="Neptune";a.Pluto="Pluto";a.SSB=
"SSB";a.EMB="EMB";a.Star1="Star1";a.Star2="Star2";a.Star3="Star3";a.Star4="Star4";a.Star5="Star5";a.Star6="Star6";a.Star7="Star7";a.Star8="Star8"})(m=e.Body||(e.Body={}));var ld=[m.Star1,m.Star2,m.Star3,m.Star4,m.Star5,m.Star6,m.Star7,m.Star8],md=[{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0},{ra:0,dec:0,dist:0}];e.DefineStar=function(a,b,c,d){var f=T(a);if(!f)throw"Invalid star body: "+a;w(b);w(c);w(d);
if(0>b||24<=b)throw"Invalid right ascension for star: "+b;if(-90>c||90<c)throw"Invalid declination for star: "+c;if(1>d)throw"Invalid star distance: "+d;f.ra=b;f.dec=c;f.dist=d*e.AU_PER_LY};var F;(function(a){a[a.From2000=0]="From2000";a[a.Into2000=1]="Into2000"})(F||(F={}));var aa={Mercury:{OrbitalPeriod:87.969},Venus:{OrbitalPeriod:224.701},Earth:{OrbitalPeriod:365.256},Mars:{OrbitalPeriod:686.98},Jupiter:{OrbitalPeriod:4332.589},Saturn:{OrbitalPeriod:10759.22},Uranus:{OrbitalPeriod:30685.4},Neptune:{OrbitalPeriod:60189},
Pluto:{OrbitalPeriod:90560}};e.PlanetOrbitalPeriod=function(a){if(a in aa)return aa[a].OrbitalPeriod;throw"Unknown orbital period for: "+a;};var M={Mercury:[[[[4.40250710144,0,0],[.40989414977,1.48302034195,26087.9031415742],[.050462942,4.47785489551,52175.8062831484],[.00855346844,1.16520322459,78263.70942472259],[.00165590362,4.11969163423,104351.61256629678],[3.4561897E-4,.77930768443,130439.51570787099],[7.583476E-5,3.71348404924,156527.41884944518]],[[26087.90313685529,0,0],[.01131199811,6.21874197797,
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-.0031308219926928,-9.9066533301924E-4]],[379600,[35.626122155983,-12.897647509224,-14.777586508444],[.0016015684949743,.0021171931182284,1.8002516202204E-4]],[408800,[26.133186148561,41.232139187599,5.00640132622],[-.0017857704419579,8.6046232702817E-4,8.0614690298954E-4]],[438E3,[-29.57674022923,11.863535943587,12.631323039872],[-7.2292830060955E-4,-.0029587820140709,-7.08242964503E-4]],[467200,[29.910805787391,-19.159019294,-15.013363865194],[.0020871080437997,.0018848372554514,-3.8528655083926E-5]],
[496400,[31.375957451819,38.050372720763,2.433138343754],[-.0015546055556611,.0011699815465629,8.3565439266001E-4]],[525600,[-26.360071336928,20.662505904952,14.414696258958],[-.0013142373118349,-.0026236647854842,-4.2542017598193E-4]],[554800,[22.599441488648,-24.508879898306,-14.484045731468],[.0025454108304806,.0014917058755191,-3.0243665086079E-4]],[584E3,[35.877864013014,33.894226366071,-.224524636277],[-.0012941245730845,.0014560427668319,8.4762160640137E-4]],[613200,[-21.538149762417,28.204068269761,
15.321973799534],[-.001731211740901,-.0021939631314577,-1.631691327518E-4]],[642400,[13.971521374415,-28.339941764789,-13.083792871886],[.0029334630526035,9.1860931752944E-4,-5.9939422488627E-4]],[671600,[39.526942044143,28.93989736011,-2.872799527539],[-.0010068481658095,.001702113288809,8.3578230511981E-4]],[700800,[-15.576200701394,34.399412961275,15.466033737854],[-.0020098814612884,-.0017191109825989,7.0414782780416E-5]],[73E4,[4.24325283709,-30.118201690825,-10.707441231349],[.0031725847067411,
1.609846120227E-4,-9.0672150593868E-4]]],B=function(a,b,c){this.x=a;this.y=b;this.z=c};B.prototype.clone=function(){return new B(this.x,this.y,this.z)};B.prototype.ToAstroVector=function(a){return new E(this.x,this.y,this.z,a)};B.zero=function(){return new B(0,0,0)};B.prototype.quadrature=function(){return this.x*this.x+this.y*this.y+this.z*this.z};B.prototype.add=function(a){return new B(this.x+a.x,this.y+a.y,this.z+a.z)};B.prototype.sub=function(a){return new B(this.x-a.x,this.y-a.y,this.z-a.z)};
B.prototype.incr=function(a){this.x+=a.x;this.y+=a.y;this.z+=a.z};B.prototype.decr=function(a){this.x-=a.x;this.y-=a.y;this.z-=a.z};B.prototype.mul=function(a){return new B(a*this.x,a*this.y,a*this.z)};B.prototype.div=function(a){return new B(this.x/a,this.y/a,this.z/a)};B.prototype.mean=function(a){return new B((this.x+a.x)/2,(this.y+a.y)/2,(this.z+a.z)/2)};B.prototype.neg=function(){return new B(-this.x,-this.y,-this.z)};var X=function(a,b,c){this.tt=a;this.r=b;this.v=c};X.prototype.clone=function(){return new X(this.tt,
this.r,this.v)};X.prototype.sub=function(a){return new X(this.tt,this.r.sub(a.r),this.v.sub(a.v))};var Da=function(a){var b=new X(a,new B(0,0,0),new B(0,0,0));this.Jupiter=R(b,a,m.Jupiter,2.825345909524226E-7);this.Saturn=R(b,a,m.Saturn,8.459715185680659E-8);this.Uranus=R(b,a,m.Uranus,1.292024916781969E-8);this.Neptune=R(b,a,m.Neptune,1.524358900784276E-8);this.Jupiter.r.decr(b.r);this.Jupiter.v.decr(b.v);this.Saturn.r.decr(b.r);this.Saturn.v.decr(b.v);this.Uranus.r.decr(b.r);this.Uranus.v.decr(b.v);
this.Neptune.r.decr(b.r);this.Neptune.v.decr(b.v);this.Sun=new X(a,b.r.mul(-1),b.v.mul(-1))};Da.prototype.Acceleration=function(a){var b=Ta(a,2.959122082855911E-4,this.Sun.r);b.incr(Ta(a,2.825345909524226E-7,this.Jupiter.r));b.incr(Ta(a,8.459715185680659E-8,this.Saturn.r));b.incr(Ta(a,1.292024916781969E-8,this.Uranus.r));b.incr(Ta(a,1.524358900784276E-8,this.Neptune.r));return b};var Ua=function(a,b,c,d){this.tt=a;this.r=b;this.v=c;this.a=d};Ua.prototype.clone=function(){return new Ua(this.tt,this.r.clone(),
this.v.clone(),this.a.clone())};var ic=function(a,b){this.bary=a;this.grav=b},Ib=[],rd=new J([[.999432765338654,-.0336771074697641,0],[.0303959428906285,.902057912352809,.430543388542295],[-.0144994559663353,-.430299169409101,.902569881273754]]),tb=[{mu:2.82489428433814E-7,al:[1.446213296021224,3.5515522861824],a:[[.0028210960212903,0,0]],l:[[-1.925258348666E-4,4.9369589722645,.01358483658305],[-9.70803596076E-5,4.3188796477322,.01303413843243],[-8.988174165E-5,1.9080016428617,.00305064867158],[-5.53101050262E-5,
1.4936156681569,.01293892891155]],z:[[.0041510849668155,4.089939635545,-.01290686414666],[6.260521444113E-4,1.446188898627,3.5515522949802],[3.52747346169E-5,2.1256287034578,1.2727416567E-4]],zeta:[[3.142172466014E-4,2.7964219722923,-.002315096098],[9.04169207946E-5,1.0477061879627,-5.6920638196E-4]]},{mu:2.82483274392893E-7,al:[-.3735263437471362,1.76932271112347],a:[[.0044871037804314,0,0],[4.324367498E-7,1.819645606291,1.7822295777568]],l:[[8.576433172936E-4,4.3188693178264,.01303413830805],[4.549582875086E-4,
1.4936531751079,.01293892881962],[3.248939825174E-4,1.8196494533458,1.7822295777568],[-3.074250079334E-4,4.9377037005911,.01358483286724],[1.982386144784E-4,1.907986905476,.00305101212869],[1.834063551804E-4,2.1402853388529,.00145009789338],[-1.434383188452E-4,5.622214036663,.89111478887838],[-7.71939140944E-5,4.300272437235,2.6733443704266]],z:[[-.0093589104136341,4.0899396509039,-.01290686414666],[2.988994545555E-4,5.9097265185595,1.7693227079462],[2.13903639035E-4,2.1256289300016,1.2727418407E-4],
[1.980963564781E-4,2.743516829265,6.7797343009E-4],[1.210388158965E-4,5.5839943711203,3.20566149E-5],[8.37042048393E-5,1.6094538368039,-.90402165808846],[8.23525166369E-5,1.4461887708689,3.5515522949802]],zeta:[[.0040404917832303,1.0477063169425,-5.692064054E-4],[2.200421034564E-4,3.3368857864364,-1.2491307307E-4],[1.662544744719E-4,2.4134862374711,0],[5.90282470983E-5,5.9719930968366,-3.056160225E-5]]},{mu:2.82498184184723E-7,al:[.2874089391143348,.878207923589328],a:[[.0071566594572575,0,0],[1.393029911E-6,
1.1586745884981,2.6733443704266]],l:[[2.310797886226E-4,2.1402987195942,.00145009784384],[-1.828635964118E-4,4.3188672736968,.01303413828263],[1.512378778204E-4,4.9373102372298,.01358483481252],[-1.163720969778E-4,4.300265986149,2.6733443704266],[-9.55478069846E-5,1.4936612842567,.01293892879857],[8.15246854464E-5,5.6222137132535,.89111478887838],[-8.01219679602E-5,1.2995922951532,1.0034433456729],[-6.07017260182E-5,.64978769669238,.50172167043264]],z:[[.0014289811307319,2.1256295942739,1.2727413029E-4],
[7.71093122676E-4,5.5836330003496,3.20643411E-5],[5.925911780766E-4,4.0899396636448,-.01290686414666],[2.045597496146E-4,5.2713683670372,-.12523544076106],[1.785118648258E-4,.28743156721063,.8782079244252],[1.131999784893E-4,1.4462127277818,3.5515522949802],[-6.5877816921E-5,2.2702423990985,-1.7951364394537],[4.97058888328E-5,5.9096792204858,1.7693227129285]],zeta:[[.0015932721570848,3.3368862796665,-1.2491307058E-4],[8.533093128905E-4,2.4133881688166,0],[3.513347911037E-4,5.9720789850127,-3.056101771E-5],
[-1.441929255483E-4,1.0477061764435,-5.6920632124E-4]]},{mu:2.82492144889909E-7,al:[-.3620341291375704,.376486233433828],a:[[.0125879701715314,0,0],[3.595204947E-6,.64965776007116,.50172168165034],[2.7580210652E-6,1.808423578151,3.1750660413359]],l:[[5.586040123824E-4,2.1404207189815,.00145009793231],[-3.805813868176E-4,2.7358844897853,2.972965062E-5],[2.205152863262E-4,.649796525964,.5017216724358],[1.877895151158E-4,1.8084787604005,3.1750660413359],[7.66916975242E-5,6.2720114319755,1.3928364636651],
[7.47056855106E-5,1.2995916202344,1.0034433456729]],z:[[.0073755808467977,5.5836071576084,3.206509914E-5],[2.065924169942E-4,5.9209831565786,.37648624194703],[1.589869764021E-4,.28744006242623,.8782079244252],[-1.561131605348E-4,2.1257397865089,1.2727441285E-4],[1.486043380971E-4,1.4462134301023,3.5515522949802],[6.35073108731E-5,5.9096803285954,1.7693227129285],[5.99351698525E-5,4.1125517584798,-2.7985797954589],[5.40660842731E-5,5.5390350845569,.00286834082283],[-4.89596900866E-5,4.6218149483338,
-.62695712529519]],zeta:[[.0038422977898495,2.4133922085557,0],[.0022453891791894,5.9721736773277,-3.056125525E-5],[-2.604479450559E-4,3.3368746306409,-1.2491309972E-4],[3.3211214323E-5,5.5604137742337,.00290037688507]]}],fd=function(a,b,c,d){this.io=a;this.europa=b;this.ganymede=c;this.callisto=d};e.JupiterMoonsInfo=fd;e.JupiterMoons=function(a){a=new O(a);return new fd(kb(a,tb[0]),kb(a,tb[1]),kb(a,tb[2]),kb(a,tb[3]))};e.HelioVector=Z;e.HelioDistance=oa;e.CorrectLightTravel=lc;var nc=function(a,
b,c,d){this.observerBody=a;this.targetBody=b;this.aberration=c;this.observerPos=d};nc.prototype.Position=function(a){this.aberration&&(this.observerPos=Z(this.observerBody,a));var b=Z(this.targetBody,a);return new E(b.x-this.observerPos.x,b.y-this.observerPos.y,b.z-this.observerPos.z,a)};e.BackdatePosition=mc;e.GeoVector=W;e.BaryState=function(a,b){b=v(b);if(a===m.SSB)return new I(0,0,0,0,0,0,b);if(a===m.Pluto)return Hb(b,!1);var c=new Da(b.tt);switch(a){case m.Sun:return pa(c.Sun,b);case m.Jupiter:return pa(c.Jupiter,
b);case m.Saturn:return pa(c.Saturn,b);case m.Uranus:return pa(c.Uranus,b);case m.Neptune:return pa(c.Neptune,b);case m.Moon:case m.EMB:var d=Sa(M[m.Earth],b.tt);a=a===m.Moon?Ra(b):Bb(b);return new I(a.x+c.Sun.r.x+d.r.x,a.y+c.Sun.r.y+d.r.y,a.z+c.Sun.r.z+d.r.z,a.vx+c.Sun.v.x+d.v.x,a.vy+c.Sun.v.y+d.v.y,a.vz+c.Sun.v.z+d.v.z,b)}if(a in M)return a=Sa(M[a],b.tt),new I(c.Sun.r.x+a.r.x,c.Sun.r.y+a.r.y,c.Sun.r.z+a.r.z,c.Sun.v.x+a.v.x,c.Sun.v.y+a.v.y,c.Sun.v.z+a.v.z,b);throw'BaryState: Unsupported body "'+
a+'"';};e.HelioState=mb;e.Search=K;e.SearchSunLongitude=oc;e.PairLongitude=Jb;e.AngleFromSun=Ha;e.EclipticLongitude=qa;var pc=function(a,b,c,d,f,g,h,l){this.time=a;this.mag=b;this.phase_angle=c;this.helio_dist=d;this.geo_dist=f;this.gc=g;this.hc=h;this.ring_tilt=l;this.phase_fraction=(1+Math.cos(e.DEG2RAD*c))/2};e.IlluminationInfo=pc;e.Illumination=nb;e.SearchRelativeLongitude=Ia;e.MoonPhase=Kb;e.SearchMoonPhase=Wa;var rc=function(a,b){this.quarter=a;this.time=b};e.MoonQuarter=rc;e.SearchMoonQuarter=
qc;e.NextMoonQuarter=function(a){a=new Date(a.time.date.getTime()+5184E5);return qc(a)};var tc=function(a,b,c){this.pressure=a;this.temperature=b;this.density=c};e.AtmosphereInfo=tc;e.Atmosphere=sc;e.SearchRiseSet=function(a,b,c,d,f,g){g=void 0===g?0:g;if(!Number.isFinite(g)||0>g)throw"Invalid value for metersAboveGround: "+g;a:switch(a){case m.Sun:var h=Nc;break a;case m.Moon:h=Dd;break a;default:h=0}var l=sc(b.height-g),k=b.latitude*e.DEG2RAD,n=Math.sin(k);k=Math.cos(k);var p=1/Math.hypot(k,.996647180302104*
n),q=(b.height-g)/1E3,t=.175*Math.pow(1-.0065/283.15*(b.height-2/3*g),3.256);return uc(a,b,c,d,f,h,e.RAD2DEG*-(Math.sqrt(2*(1-t)*g/(1E3*Math.hypot((6378.1366*p+q)*k,(6335.438815127603*p+q)*n)))/(1-t))-Ed*l.density)};e.SearchAltitude=function(a,b,c,d,f,g){if(!Number.isFinite(g)||-90>g||90<g)throw"Invalid altitude angle: "+g;return uc(a,b,c,d,f,0,g)};var ud=function(a,b,c,d){this.tx=a;this.ty=b;this.ax=c;this.ay=d},gd=function(a,b){this.time=a;this.hor=b};e.HourAngleEvent=gd;e.SearchHourAngle=function(a,
b,c,d,f){f=void 0===f?1:f;za(b);d=v(d);var g=0;if(a===m.Earth)throw"Cannot search for hour angle of the Earth.";w(c);if(0>c||24<=c)throw"Invalid hour angle "+c;w(f);if(0===f)throw"Direction must be positive or negative.";for(;;){++g;var h=ca(d),l=Pa(a,d,b,!0,!0);h=(c+l.ra-b.longitude/15-h)%24;1===g?0<f?0>h&&(h+=24):0<h&&(h-=24):-12>h?h+=24:12<h&&(h-=24);if(.1>3600*Math.abs(h))return a=hb(d,b,l.ra,l.dec,"normal"),new gd(d,a);d=d.AddDays(h/24*.9972695717592592)}};e.HourAngle=function(a,b,c){var d=v(b);
b=bc(d);a=Pa(a,d,c,!0,!0);c=(c.longitude/15+b-a.ra)%24;0>c&&(c+=24);return c};var hd=function(a,b,c,d){this.mar_equinox=a;this.jun_solstice=b;this.sep_equinox=c;this.dec_solstice=d};e.SeasonInfo=hd;e.Seasons=function(a){function b(h,l,k){l=new Date(Date.UTC(a,l-1,k));h=oc(h,l,20);if(!h)throw"Cannot find season change near "+l.toISOString();return h}a instanceof Date&&Number.isFinite(a.getTime())&&(a=a.getUTCFullYear());if(!Number.isSafeInteger(a))throw"Cannot calculate seasons because year argument "+
a+" is neither a Date nor a safe integer.";var c=b(0,3,10),d=b(90,6,10),f=b(180,9,10),g=b(270,12,10);return new hd(c,d,f,g)};var wc=function(a,b,c,d){this.time=a;this.visibility=b;this.elongation=c;this.ecliptic_separation=d};e.ElongationEvent=wc;e.Elongation=vc;e.SearchMaxElongation=function(a,b){function c(n){var p=n.AddDays(-.005);n=n.AddDays(.005);p=Ha(a,p);n=Ha(a,n);return(p-n)/.01}b=v(b);var d={Mercury:{s1:50,s2:85},Venus:{s1:40,s2:50}}[a];if(!d)throw"SearchMaxElongation works for Mercury and Venus only.";
for(var f=0;2>=++f;){var g=qa(a,b),h=qa(m.Earth,b),l=Fa(g-h),k=g=h=void 0;l>=-d.s1&&l<+d.s1?(k=0,h=+d.s1,g=+d.s2):l>=+d.s2||l<-d.s2?(k=0,h=-d.s2,g=-d.s1):0<=l?(k=-Va(a)/4,h=+d.s1,g=+d.s2):(k=-Va(a)/4,h=-d.s2,g=-d.s1);l=b.AddDays(k);h=Ia(a,h,l);g=Ia(a,g,h);l=c(h);if(0<=l)throw"SearchMaxElongation: internal error: m1 = "+l;k=c(g);if(0>=k)throw"SearchMaxElongation: internal error: m2 = "+k;l=K(c,h,g,{init_f1:l,init_f2:k,dt_tolerance_seconds:10});if(!l)throw"SearchMaxElongation: failed search iter "+
f+" (t1="+h.toString()+", t2="+g.toString()+")";if(l.tt>=b.tt)return vc(a,l);b=g.AddDays(1)}throw"SearchMaxElongation: failed to find event after 2 tries.";};e.SearchPeakMagnitude=function(a,b){function c(k){var n=k.AddDays(-.005);k=k.AddDays(.005);n=nb(a,n).mag;return(nb(a,k).mag-n)/.01}if(a!==m.Venus)throw"SearchPeakMagnitude currently works for Venus only.";b=v(b);for(var d=0;2>=++d;){var f=qa(a,b),g=qa(m.Earth,b),h=Fa(f-g),l=f=g=void 0;-10<=h&&10>h?(l=0,g=10,f=30):30<=h||-30>h?(l=0,g=-30,f=-10):
0<=h?(l=-Va(a)/4,g=10,f=30):(l=-Va(a)/4,g=-30,f=-10);h=b.AddDays(l);g=Ia(a,g,h);f=Ia(a,f,g);h=c(g);if(0<=h)throw"SearchPeakMagnitude: internal error: m1 = "+h;l=c(f);if(0>=l)throw"SearchPeakMagnitude: internal error: m2 = "+l;h=K(c,g,f,{init_f1:h,init_f2:l,dt_tolerance_seconds:10});if(!h)throw"SearchPeakMagnitude: failed search iter "+d+" (t1="+g.toString()+", t2="+f.toString()+")";if(h.tt>=b.tt)return nb(a,h);b=f.AddDays(1)}throw"SearchPeakMagnitude: failed to find event after 2 tries.";};var Ja;
(function(a){a[a.Pericenter=0]="Pericenter";a[a.Apocenter=1]="Apocenter"})(Ja=e.ApsisKind||(e.ApsisKind={}));var Xa=function(a,b,c){this.time=a;this.kind=b;this.dist_au=c;this.dist_km=c*e.KM_PER_AU};e.Apsis=Xa;e.SearchLunarApsis=xc;e.NextLunarApsis=function(a){var b=xc(a.time.AddDays(11));if(1!==b.kind+a.kind)throw"NextLunarApsis INTERNAL ERROR: did not find alternating apogee/perigee: prev="+a.kind+" @ "+a.time.toString()+", next="+b.kind+" @ "+b.time.toString();return b};e.SearchPlanetApsis=zc;
e.NextPlanetApsis=function(a,b){if(b.kind!==Ja.Pericenter&&b.kind!==Ja.Apocenter)throw"Invalid apsis kind: "+b.kind;var c=b.time.AddDays(.25*aa[a].OrbitalPeriod);a=zc(a,c);if(1!==a.kind+b.kind)throw"Internal error: previous apsis was "+b.kind+", but found "+a.kind+" for next apsis.";return a};e.InverseRotation=Ka;e.CombineRotation=ja;e.IdentityMatrix=function(){return new J([[1,0,0],[0,1,0],[0,0,1]])};e.Pivot=function(a,b,c){if(0!==b&&1!==b&&2!==b)throw"Invalid axis "+b+". Must be [0, 1, 2].";var d=
w(c)*e.DEG2RAD;c=Math.cos(d);d=Math.sin(d);var f=(b+1)%3,g=(b+2)%3,h=[[0,0,0],[0,0,0],[0,0,0]];h[f][f]=c*a.rot[f][f]-d*a.rot[f][g];h[f][g]=d*a.rot[f][f]+c*a.rot[f][g];h[f][b]=a.rot[f][b];h[g][f]=c*a.rot[g][f]-d*a.rot[g][g];h[g][g]=d*a.rot[g][f]+c*a.rot[g][g];h[g][b]=a.rot[g][b];h[b][f]=c*a.rot[b][f]-d*a.rot[b][g];h[b][g]=d*a.rot[b][f]+c*a.rot[b][g];h[b][b]=a.rot[b][b];return new J(h)};e.VectorFromSphere=lb;e.EquatorFromVector=Mb;e.SphereFromVector=Nb;e.HorizonFromVector=function(a,b){a=Nb(a);a.lon=
Ac(a.lon);a.lat+=Oa(b,a.lat);return a};e.VectorFromHorizon=function(a,b,c){b=v(b);var d=Ac(a.lon);c=a.lat+Bc(c,a.lat);a=new Ba(c,d,a.dist);return lb(a,b)};e.Refraction=Oa;e.InverseRefraction=Bc;e.RotateVector=Ya;e.RotateState=Ea;e.Rotation_EQJ_ECL=Cc;e.Rotation_ECL_EQJ=function(){return new J([[1,0,0],[0,.9174821430670688,.3977769691083922],[0,-.3977769691083922,.9174821430670688]])};e.Rotation_EQJ_EQD=ob;e.Rotation_EQJ_ECT=function(a){var b=v(a);a=ob(b);b=Jc(b);return ja(a,b)};e.Rotation_ECT_EQJ=
function(a){var b=v(a);a=Ic(b);b=pb(b);return ja(a,b)};e.Rotation_EQD_EQJ=pb;e.Rotation_EQD_HOR=Ob;e.Rotation_HOR_EQD=Dc;e.Rotation_HOR_EQJ=Ec;e.Rotation_EQJ_HOR=function(a,b){a=Ec(a,b);return Ka(a)};e.Rotation_EQD_ECL=Fc;e.Rotation_ECL_EQD=Gc;e.Rotation_ECL_HOR=Hc;e.Rotation_HOR_ECL=function(a,b){a=Hc(a,b);return Ka(a)};e.Rotation_EQJ_GAL=function(){return new J([[-.0548624779711344,.4941095946388765,-.8676668813529025],[-.8734572784246782,-.4447938112296831,-.1980677870294097],[-.483800052994852,
.7470034631630423,.4559861124470794]])};e.Rotation_GAL_EQJ=function(){return new J([[-.0548624779711344,-.8734572784246782,-.483800052994852],[.4941095946388765,-.4447938112296831,.7470034631630423],[-.8676668813529025,-.1980677870294097,.4559861124470794]])};e.Rotation_ECT_EQD=Ic;e.Rotation_EQD_ECT=Jc;var Fd=[["And","Andromeda"],["Ant","Antila"],["Aps","Apus"],["Aql","Aquila"],["Aqr","Aquarius"],["Ara","Ara"],["Ari","Aries"],["Aur","Auriga"],["Boo","Bootes"],["Cae","Caelum"],["Cam","Camelopardis"],
["Cap","Capricornus"],["Car","Carina"],["Cas","Cassiopeia"],["Cen","Centaurus"],["Cep","Cepheus"],["Cet","Cetus"],["Cha","Chamaeleon"],["Cir","Circinus"],["CMa","Canis Major"],["CMi","Canis Minor"],["Cnc","Cancer"],["Col","Columba"],["Com","Coma Berenices"],["CrA","Corona Australis"],["CrB","Corona Borealis"],["Crt","Crater"],["Cru","Crux"],["Crv","Corvus"],["CVn","Canes Venatici"],["Cyg","Cygnus"],["Del","Delphinus"],["Dor","Dorado"],["Dra","Draco"],["Equ","Equuleus"],["Eri","Eridanus"],["For","Fornax"],
["Gem","Gemini"],["Gru","Grus"],["Her","Hercules"],["Hor","Horologium"],["Hya","Hydra"],["Hyi","Hydrus"],["Ind","Indus"],["Lac","Lacerta"],["Leo","Leo"],["Lep","Lepus"],["Lib","Libra"],["LMi","Leo Minor"],["Lup","Lupus"],["Lyn","Lynx"],["Lyr","Lyra"],["Men","Mensa"],["Mic","Microscopium"],["Mon","Monoceros"],["Mus","Musca"],["Nor","Norma"],["Oct","Octans"],["Oph","Ophiuchus"],["Ori","Orion"],["Pav","Pavo"],["Peg","Pegasus"],["Per","Perseus"],["Phe","Phoenix"],["Pic","Pictor"],["PsA","Pisces Austrinus"],
["Psc","Pisces"],["Pup","Puppis"],["Pyx","Pyxis"],["Ret","Reticulum"],["Scl","Sculptor"],["Sco","Scorpius"],["Sct","Scutum"],["Ser","Serpens"],["Sex","Sextans"],["Sge","Sagitta"],["Sgr","Sagittarius"],["Tau","Taurus"],["Tel","Telescopium"],["TrA","Triangulum Australe"],["Tri","Triangulum"],["Tuc","Tucana"],["UMa","Ursa Major"],["UMi","Ursa Minor"],["Vel","Vela"],["Vir","Virgo"],["Vol","Volans"],["Vul","Vulpecula"]],Gd=[[83,0,8640,2112],[83,2880,5220,2076],[83,7560,8280,2068],[83,6480,7560,2064],[15,
0,2880,2040],[10,3300,3840,1968],[15,0,1800,1920],[10,3840,5220,1920],[83,6300,6480,1920],[33,7260,7560,1920],[15,0,1263,1848],[10,4140,4890,1848],[83,5952,6300,1800],[15,7260,7440,1800],[10,2868,3300,1764],[33,3300,4080,1764],[83,4680,5952,1680],[13,1116,1230,1632],[33,7350,7440,1608],[33,4080,4320,1596],[15,0,120,1584],[83,5040,5640,1584],[15,8490,8640,1584],[33,4320,4860,1536],[33,4860,5190,1512],[15,8340,8490,1512],[10,2196,2520,1488],[33,7200,7350,1476],[15,7393.2,7416,1462],[10,2520,2868,1440],
[82,2868,3030,1440],[33,7116,7200,1428],[15,7200,7393.2,1428],[15,8232,8340,1418],[13,0,876,1404],[33,6990,7116,1392],[13,612,687,1380],[13,876,1116,1368],[10,1116,1140,1368],[15,8034,8232,1350],[10,1800,2196,1344],[82,5052,5190,1332],[33,5190,6990,1332],[10,1140,1200,1320],[15,7968,8034,1320],[15,7416,7908,1316],[13,0,612,1296],[50,2196,2340,1296],[82,4350,4860,1272],[33,5490,5670,1272],[15,7908,7968,1266],[10,1200,1800,1260],[13,8232,8400,1260],[33,5670,6120,1236],[62,735,906,1212],[33,6120,6564,
1212],[13,0,492,1200],[62,492,600,1200],[50,2340,2448,1200],[13,8400,8640,1200],[82,4860,5052,1164],[13,0,402,1152],[13,8490,8640,1152],[39,6543,6564,1140],[33,6564,6870,1140],[30,6870,6900,1140],[62,600,735,1128],[82,3030,3300,1128],[13,60,312,1104],[82,4320,4350,1080],[50,2448,2652,1068],[30,7887,7908,1056],[30,7875,7887,1050],[30,6900,6984,1044],[82,3300,3660,1008],[82,3660,3882,960],[8,5556,5670,960],[39,5670,5880,960],[50,3330,3450,954],[0,0,906,882],[62,906,924,882],[51,6969,6984,876],[62,1620,
1689,864],[30,7824,7875,864],[44,7875,7920,864],[7,2352,2652,852],[50,2652,2790,852],[0,0,720,840],[44,7920,8214,840],[44,8214,8232,828],[0,8232,8460,828],[62,924,978,816],[82,3882,3960,816],[29,4320,4440,816],[50,2790,3330,804],[48,3330,3558,804],[0,258,507,792],[8,5466,5556,792],[0,8460,8550,770],[29,4440,4770,768],[0,8550,8640,752],[29,5025,5052,738],[80,870,978,736],[62,978,1620,736],[7,1620,1710,720],[51,6543,6969,720],[82,3960,4320,696],[30,7080,7530,696],[7,1710,2118,684],[48,3558,3780,684],
[29,4770,5025,684],[0,0,24,672],[80,507,600,672],[7,2118,2352,672],[37,2838,2880,672],[30,7530,7824,672],[30,6933,7080,660],[80,690,870,654],[25,5820,5880,648],[8,5430,5466,624],[25,5466,5820,624],[51,6612,6792,624],[48,3870,3960,612],[51,6792,6933,612],[80,600,690,600],[66,258,306,570],[48,3780,3870,564],[87,7650,7710,564],[77,2052,2118,548],[0,24,51,528],[73,5730,5772,528],[37,2118,2238,516],[87,7140,7290,510],[87,6792,6930,506],[0,51,306,504],[87,7290,7404,492],[37,2811,2838,480],[87,7404,7650,
468],[87,6930,7140,460],[6,1182,1212,456],[75,6792,6840,444],[59,2052,2076,432],[37,2238,2271,420],[75,6840,7140,388],[77,1788,1920,384],[39,5730,5790,384],[75,7140,7290,378],[77,1662,1788,372],[77,1920,2016,372],[23,4620,4860,360],[39,6210,6570,344],[23,4272,4620,336],[37,2700,2811,324],[39,6030,6210,308],[61,0,51,300],[77,2016,2076,300],[37,2520,2700,300],[61,7602,7680,300],[37,2271,2496,288],[39,6570,6792,288],[31,7515,7578,284],[61,7578,7602,284],[45,4146,4272,264],[59,2247,2271,240],[37,2496,
2520,240],[21,2811,2853,240],[61,8580,8640,240],[6,600,1182,238],[31,7251,7308,204],[8,4860,5430,192],[61,8190,8580,180],[21,2853,3330,168],[45,3330,3870,168],[58,6570,6718.4,150],[3,6718.4,6792,150],[31,7500,7515,144],[20,2520,2526,132],[73,6570,6633,108],[39,5790,6030,96],[58,6570,6633,72],[61,7728,7800,66],[66,0,720,48],[73,6690,6792,48],[31,7308,7500,48],[34,7500,7680,48],[61,7680,7728,48],[61,7920,8190,48],[61,7800,7920,42],[20,2526,2592,36],[77,1290,1662,0],[59,1662,1680,0],[20,2592,2910,0],
[85,5280,5430,0],[58,6420,6570,0],[16,954,1182,-42],[77,1182,1290,-42],[73,5430,5856,-78],[59,1680,1830,-96],[59,2100,2247,-96],[73,6420,6468,-96],[73,6570,6690,-96],[3,6690,6792,-96],[66,8190,8580,-96],[45,3870,4146,-144],[85,4146,4260,-144],[66,0,120,-168],[66,8580,8640,-168],[85,5130,5280,-192],[58,5730,5856,-192],[3,7200,7392,-216],[4,7680,7872,-216],[58,6180,6468,-240],[54,2100,2910,-264],[35,1770,1830,-264],[59,1830,2100,-264],[41,2910,3012,-264],[74,3450,3870,-264],[85,4260,4620,-264],[58,
6330,6360,-280],[3,6792,7200,-288.8],[35,1740,1770,-348],[4,7392,7680,-360],[73,6180,6570,-384],[72,6570,6792,-384],[41,3012,3090,-408],[58,5856,5895,-438],[41,3090,3270,-456],[26,3870,3900,-456],[71,5856,5895,-462],[47,5640,5730,-480],[28,4530,4620,-528],[85,4620,5130,-528],[41,3270,3510,-576],[16,600,954,-585.2],[35,954,1350,-585.2],[26,3900,4260,-588],[28,4260,4530,-588],[47,5130,5370,-588],[58,5856,6030,-590],[16,0,600,-612],[11,7680,7872,-612],[4,7872,8580,-612],[16,8580,8640,-612],[41,3510,
3690,-636],[35,1692,1740,-654],[46,1740,2202,-654],[11,7200,7680,-672],[41,3690,3810,-700],[41,4530,5370,-708],[47,5370,5640,-708],[71,5640,5760,-708],[35,1650,1692,-720],[58,6030,6336,-720],[76,6336,6420,-720],[41,3810,3900,-748],[19,2202,2652,-792],[41,4410,4530,-792],[41,3900,4410,-840],[36,1260,1350,-864],[68,3012,3372,-882],[35,1536,1650,-888],[76,6420,6900,-888],[65,7680,8280,-888],[70,8280,8400,-888],[36,1080,1260,-950],[1,3372,3960,-954],[70,0,600,-960],[36,600,1080,-960],[35,1392,1536,-960],
[70,8400,8640,-960],[14,5100,5370,-1008],[49,5640,5760,-1008],[71,5760,5911.5,-1008],[9,1740,1800,-1032],[22,1800,2370,-1032],[67,2880,3012,-1032],[35,1230,1392,-1056],[71,5911.5,6420,-1092],[24,6420,6900,-1092],[76,6900,7320,-1092],[53,7320,7680,-1092],[35,1080,1230,-1104],[9,1620,1740,-1116],[49,5520,5640,-1152],[63,0,840,-1156],[35,960,1080,-1176],[40,1470,1536,-1176],[9,1536,1620,-1176],[38,7680,7920,-1200],[67,2160,2880,-1218],[84,2880,2940,-1218],[35,870,960,-1224],[40,1380,1470,-1224],[63,
0,660,-1236],[12,2160,2220,-1260],[84,2940,3042,-1272],[40,1260,1380,-1276],[32,1380,1440,-1276],[63,0,570,-1284],[35,780,870,-1296],[64,1620,1800,-1296],[49,5418,5520,-1296],[84,3042,3180,-1308],[12,2220,2340,-1320],[14,4260,4620,-1320],[49,5100,5418,-1320],[56,5418,5520,-1320],[32,1440,1560,-1356],[84,3180,3960,-1356],[14,3960,4050,-1356],[5,6300,6480,-1368],[78,6480,7320,-1368],[38,7920,8400,-1368],[40,1152,1260,-1380],[64,1800,1980,-1380],[12,2340,2460,-1392],[63,0,480,-1404],[35,480,780,-1404],
[63,8400,8640,-1404],[32,1560,1650,-1416],[56,5520,5911.5,-1440],[43,7320,7680,-1440],[64,1980,2160,-1464],[18,5460,5520,-1464],[5,5911.5,5970,-1464],[18,5370,5460,-1526],[5,5970,6030,-1526],[64,2160,2460,-1536],[12,2460,3252,-1536],[14,4050,4260,-1536],[27,4260,4620,-1536],[14,4620,5232,-1536],[18,4860,4920,-1560],[5,6030,6060,-1560],[40,780,1152,-1620],[69,1152,1650,-1620],[18,5310,5370,-1620],[5,6060,6300,-1620],[60,6300,6480,-1620],[81,7920,8400,-1620],[32,1650,2370,-1680],[18,4920,5310,-1680],
[79,5310,6120,-1680],[81,0,480,-1800],[42,1260,1650,-1800],[86,2370,3252,-1800],[12,3252,4050,-1800],[55,4050,4920,-1800],[60,6480,7680,-1800],[43,7680,8400,-1800],[81,8400,8640,-1800],[81,270,480,-1824],[42,0,1260,-1980],[17,2760,4920,-1980],[2,4920,6480,-1980],[52,1260,2760,-2040],[57,0,8640,-2160]],Tb,id,jd=function(a,b,c,d){this.symbol=a;this.name=b;this.ra1875=c;this.dec1875=d};e.ConstellationInfo=jd;e.Constellation=function(a,b){w(a);w(b);if(-90>b||90<b)throw"Invalid declination angle. Must be -90..+90.";
a%=24;0>a&&(a+=24);Tb||(Tb=ob(new O(-45655.74141261017)),id=new O(0));a=new Ba(b,15*a,1);a=lb(a,id);a=Ya(Tb,a);a=Mb(a);b=10/240;for(var c=b/15,d=$jscomp.makeIterator(Gd),f=d.next();!f.done;f=d.next()){f=f.value;var g=f[1]*c,h=f[2]*c;if(f[3]*b<=a.dec&&g<=a.ra&&a.ra<h)return b=Fd[f[0]],new jd(b[0],b[1],a.ra,a.dec)}throw"Unable to find constellation for given coordinates.";};var S;(function(a){a.Penumbral="penumbral";a.Partial="partial";a.Annular="annular";a.Total="total"})(S=e.EclipseKind||(e.EclipseKind=
{}));var Pc=function(a,b,c,d,f,g){this.kind=a;this.obscuration=b;this.peak=c;this.sd_penum=d;this.sd_partial=f;this.sd_total=g};e.LunarEclipseInfo=Pc;var xd=function(a,b,c,d,f,g,h){this.time=a;this.u=b;this.r=c;this.k=d;this.p=f;this.target=g;this.dir=h};e.SearchLunarEclipse=Oc;var Rc=function(a,b,c,d,f,g){this.kind=a;this.obscuration=b;this.peak=c;this.distance=d;this.latitude=f;this.longitude=g};e.GlobalSolarEclipseInfo=Rc;e.NextLunarEclipse=function(a){a=v(a);a=a.AddDays(10);return Oc(a)};e.SearchGlobalSolarEclipse=
Qc;e.NextGlobalSolarEclipse=function(a){a=v(a);a=a.AddDays(10);return Qc(a)};var Vc=function(a,b){this.time=a;this.altitude=b};e.EclipseEvent=Vc;var Xc=function(a,b,c,d,f,g,h){this.kind=a;this.obscuration=b;this.partial_begin=c;this.total_begin=d;this.peak=f;this.total_end=g;this.partial_end=h};e.LocalSolarEclipseInfo=Xc;e.SearchLocalSolarEclipse=Wc;e.NextLocalSolarEclipse=function(a,b){a=v(a);a=a.AddDays(10);return Wc(a,b)};var $c=function(a,b,c,d){this.start=a;this.peak=b;this.finish=c;this.separation=
d};e.TransitInfo=$c;e.SearchTransit=Zc;e.NextTransit=function(a,b){b=v(b);b=b.AddDays(100);return Zc(a,b)};var ra;(function(a){a[a.Invalid=0]="Invalid";a[a.Ascending=1]="Ascending";a[a.Descending=-1]="Descending"})(ra=e.NodeEventKind||(e.NodeEventKind={}));var bd=function(a,b){this.kind=a;this.time=b};e.NodeEventInfo=bd;e.SearchMoonNode=ad;e.NextMoonNode=function(a){var b=a.time.AddDays(10);b=ad(b);switch(a.kind){case ra.Ascending:if(b.kind!==ra.Descending)throw"Internal error: previous node was ascending, but this node was: "+
b.kind;break;case ra.Descending:if(b.kind!==ra.Ascending)throw"Internal error: previous node was descending, but this node was: "+b.kind;break;default:throw"Previous node has an invalid node kind: "+a.kind;}return b};var Ub=function(a,b,c,d){this.ra=a;this.dec=b;this.spin=c;this.north=d};e.AxisInfo=Ub;e.RotationAxis=function(a,b){b=v(b);var c=b.tt,d=c/36525;switch(a){case m.Sun:a=286.13;var f=63.87;c=84.176+14.1844*c;break;case m.Mercury:a=281.0103-.0328*d;f=61.4155-.0049*d;c=329.5988+6.1385108*c+
.01067257*Math.sin(e.DEG2RAD*(174.7910857+4.092335*c))-.00112309*Math.sin(e.DEG2RAD*(349.5821714+8.18467*c))-1.104E-4*Math.sin(e.DEG2RAD*(164.3732571+12.277005*c))-2.539E-5*Math.sin(e.DEG2RAD*(339.1643429+16.36934*c))-5.71E-6*Math.sin(e.DEG2RAD*(153.9554286+20.461675*c));break;case m.Venus:a=272.76;f=67.16;c=160.2-1.4813688*c;break;case m.Earth:return a=xa([0,0,1],b,F.Into2000),a=wa(a,b,F.Into2000),a=new E(a[0],a[1],a[2],b),c=Mb(a),new Ub(c.ra,c.dec,190.41375788700253+360.9856122880876*b.ut,a);case m.Moon:var g=
e.DEG2RAD*(125.045-.0529921*c),h=e.DEG2RAD*(250.089-.1059842*c),l=e.DEG2RAD*(260.008+13.0120009*c),k=e.DEG2RAD*(176.625+13.3407154*c),n=e.DEG2RAD*(357.529+.9856003*c),p=e.DEG2RAD*(311.589+26.4057084*c),q=e.DEG2RAD*(134.963+13.064993*c),t=e.DEG2RAD*(276.617+.3287146*c),y=e.DEG2RAD*(34.226+1.7484877*c),x=e.DEG2RAD*(15.134-.1589763*c),z=e.DEG2RAD*(119.743+.0036096*c),ab=e.DEG2RAD*(239.961+.1643573*c),va=e.DEG2RAD*(25.053+12.9590088*c);a=269.9949+.0031*d-3.8787*Math.sin(g)-.1204*Math.sin(h)+.07*Math.sin(l)-
.0172*Math.sin(k)+.0072*Math.sin(p)-.0052*Math.sin(x)+.0043*Math.sin(va);f=66.5392+.013*d+1.5419*Math.cos(g)+.0239*Math.cos(h)-.0278*Math.cos(l)+.0068*Math.cos(k)-.0029*Math.cos(p)+9E-4*Math.cos(q)+8E-4*Math.cos(x)-9E-4*Math.cos(va);c=38.3213+(13.17635815-1.4E-12*c)*c+3.561*Math.sin(g)+.1208*Math.sin(h)-.0642*Math.sin(l)+.0158*Math.sin(k)+.0252*Math.sin(n)-.0066*Math.sin(p)-.0047*Math.sin(q)-.0046*Math.sin(t)+.0028*Math.sin(y)+.0052*Math.sin(x)+.004*Math.sin(z)+.0019*Math.sin(ab)-.0044*Math.sin(va);
break;case m.Mars:a=317.269202-.10927547*d+6.8E-5*Math.sin(e.DEG2RAD*(198.991226+19139.4819985*d))+2.38E-4*Math.sin(e.DEG2RAD*(226.292679+38280.8511281*d))+5.2E-5*Math.sin(e.DEG2RAD*(249.663391+57420.7251593*d))+9E-6*Math.sin(e.DEG2RAD*(266.18351+76560.636795*d))+.419057*Math.sin(e.DEG2RAD*(79.398797+.5042615*d));f=54.432516-.05827105*d+5.1E-5*Math.cos(e.DEG2RAD*(122.433576+19139.9407476*d))+1.41E-4*Math.cos(e.DEG2RAD*(43.058401+38280.8753272*d))+3.1E-5*Math.cos(e.DEG2RAD*(57.663379+57420.7517205*
d))+5E-6*Math.cos(e.DEG2RAD*(79.476401+76560.6495004*d))+1.591274*Math.cos(e.DEG2RAD*(166.325722+.5042615*d));c=176.049863+350.891982443297*c+1.45E-4*Math.sin(e.DEG2RAD*(129.071773+19140.0328244*d))+1.57E-4*Math.sin(e.DEG2RAD*(36.352167+38281.0473591*d))+4E-5*Math.sin(e.DEG2RAD*(56.668646+57420.929536*d))+1E-6*Math.sin(e.DEG2RAD*(67.364003+76560.2552215*d))+1E-6*Math.sin(e.DEG2RAD*(104.79268+95700.4387578*d))+.584542*Math.sin(e.DEG2RAD*(95.391654+.5042615*d));break;case m.Jupiter:f=e.DEG2RAD*(99.360714+
4850.4046*d);g=e.DEG2RAD*(175.895369+1191.9605*d);h=e.DEG2RAD*(300.323162+262.5475*d);l=e.DEG2RAD*(114.012305+6070.2476*d);k=e.DEG2RAD*(49.511251+64.3*d);a=268.056595-.006499*d+1.17E-4*Math.sin(f)+9.38E-4*Math.sin(g)+.001432*Math.sin(h)+3E-5*Math.sin(l)+.00215*Math.sin(k);f=64.495303+.002413*d+5E-5*Math.cos(f)+4.04E-4*Math.cos(g)+6.17E-4*Math.cos(h)-1.3E-5*Math.cos(l)+9.26E-4*Math.cos(k);c=284.95+870.536*c;break;case m.Saturn:a=40.589-.036*d;f=83.537-.004*d;c=38.9+810.7939024*c;break;case m.Uranus:a=
257.311;f=-15.175;c=203.81-501.1600928*c;break;case m.Neptune:d=e.DEG2RAD*(357.85+52.316*d);a=299.36+.7*Math.sin(d);f=43.46-.51*Math.cos(d);c=249.978+541.1397757*c-.48*Math.sin(d);break;case m.Pluto:a=132.993;f=-6.163;c=302.695+56.3625225*c;break;default:throw"Invalid body: "+a;}d=f*e.DEG2RAD;g=a*e.DEG2RAD;h=Math.cos(d);b=new E(h*Math.cos(g),h*Math.sin(g),Math.sin(d),b);return new Ub(a/15,f,c,b)};e.LagrangePoint=function(a,b,c,d){var f=v(b);b=C(c);var g=C(d);c===m.Earth&&d===m.Moon?(c=new I(0,0,0,
0,0,0,f),d=Ra(f)):(c=mb(c,f),d=mb(d,f));return cd(a,c,b,d,g)};e.LagrangePointFast=cd;var H=function(a,b,c){b=v(b);this.originBody=a;for(var d=$jscomp.makeIterator(c),f=d.next();!f.done;f=d.next())if(f.value.t.tt!==b.tt)throw"Inconsistent times in bodyStates";d=[];f=H.CalcSolarSystem(b);this.curr=new kd(b,f,d);a=this.InternalBodyState(a);c=$jscomp.makeIterator(c);for(f=c.next();!f.done;f=c.next()){var g=f.value;f=new B(g.x+a.r.x,g.y+a.r.y,g.z+a.r.z);g=new B(g.vx+a.v.x,g.vy+a.v.y,g.vz+a.v.z);var h=
B.zero();d.push(new Ua(b.tt,f,g,h))}this.CalcBodyAccelerations();this.prev=this.Duplicate()};H.prototype.Update=function(a){a=v(a);var b=a.tt-this.curr.time.tt;if(0===b)this.prev=this.Duplicate();else{this.Swap();this.curr.time=a;this.curr.gravitators=H.CalcSolarSystem(a);for(var c=0;c<this.curr.bodies.length;++c){var d=this.prev.bodies[c];this.curr.bodies[c].r=Ca(b,d.r,d.v,d.a)}this.CalcBodyAccelerations();for(c=0;c<this.curr.bodies.length;++c){d=this.prev.bodies[c];var f=this.curr.bodies[c],g=d.a.mean(f.a);
f.tt=a.tt;f.r=Ca(b,d.r,d.v,g);f.v=Eb(b,d.v,g)}this.CalcBodyAccelerations()}b=[];c=this.InternalBodyState(this.originBody);d=$jscomp.makeIterator(this.curr.bodies);for(f=d.next();!f.done;f=d.next())f=f.value,b.push(new I(f.r.x-c.r.x,f.r.y-c.r.y,f.r.z-c.r.z,f.v.x-c.v.x,f.v.y-c.v.y,f.v.z-c.v.z,a));return b};H.prototype.Swap=function(){var a=this.curr;this.curr=this.prev;this.prev=a};H.prototype.SolarSystemBodyState=function(a){a=this.InternalBodyState(a);var b=this.InternalBodyState(this.originBody);
return pa(a.sub(b),this.curr.time)};H.prototype.InternalBodyState=function(a){if(a===m.SSB)return new X(this.curr.time.tt,B.zero(),B.zero());var b=this.curr.gravitators[a];if(b)return b;throw"Invalid body: "+a;};H.CalcSolarSystem=function(a){var b={},c=new X(a.tt,B.zero(),B.zero());b[m.Mercury]=R(c,a.tt,m.Mercury,4.912547451450812E-11);b[m.Venus]=R(c,a.tt,m.Venus,7.243452486162703E-10);b[m.Earth]=R(c,a.tt,m.Earth,8.997011346712498E-10);b[m.Mars]=R(c,a.tt,m.Mars,9.549535105779258E-11);b[m.Jupiter]=
R(c,a.tt,m.Jupiter,2.825345909524226E-7);b[m.Saturn]=R(c,a.tt,m.Saturn,8.459715185680659E-8);b[m.Uranus]=R(c,a.tt,m.Uranus,1.292024916781969E-8);b[m.Neptune]=R(c,a.tt,m.Neptune,1.524358900784276E-8);for(var d in b)b[d].r.decr(c.r),b[d].v.decr(c.v);b[m.Sun]=new X(a.tt,c.r.neg(),c.v.neg());return b};H.prototype.CalcBodyAccelerations=function(){for(var a=$jscomp.makeIterator(this.curr.bodies),b=a.next();!b.done;b=a.next())b=b.value,b.a=B.zero(),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Sun].r,
2.959122082855911E-4),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Mercury].r,4.912547451450812E-11),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Venus].r,7.243452486162703E-10),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Earth].r,8.997011346712498E-10),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Mars].r,9.549535105779258E-11),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Jupiter].r,2.825345909524226E-7),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Saturn].r,8.459715185680659E-8),
H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Uranus].r,1.292024916781969E-8),H.AddAcceleration(b.a,b.r,this.curr.gravitators[m.Neptune].r,1.524358900784276E-8)};H.AddAcceleration=function(a,b,c,d){var f=c.x-b.x,g=c.y-b.y;b=c.z-b.z;c=f*f+g*g+b*b;d/=c*Math.sqrt(c);a.x+=f*d;a.y+=g*d;a.z+=b*d};H.prototype.Duplicate=function(){var a={};for(b in this.curr.gravitators)a[b]=this.curr.gravitators[b].clone();var b=[];for(var c=$jscomp.makeIterator(this.curr.bodies),d=c.next();!d.done;d=c.next())b.push(d.value.clone());
return new kd(this.curr.time,a,b)};$jscomp.global.Object.defineProperties(H.prototype,{OriginBody:{configurable:!0,enumerable:!0,get:function(){return this.originBody}},Time:{configurable:!0,enumerable:!0,get:function(){return this.curr.time}}});e.GravitySimulator=H;var kd=function(a,b,c){this.time=a;this.gravitators=b;this.bodies=c}},{}]},{},[1])(1)});