testGetMercuryPosition.js

start = new Date().getTime()

mercuryData = new Float64Array([.3870992089,10.0e-11,.2031734971,2.0e-10,.1335299521,-2.0e-9,1.09140008216,-5.63e-8,4.09894620005,.0714246386,
6.20790927291,1.297e-7,.3870971246,1.0e-10,.2031822588,-10.0e-10,.133513571,-2.2e-9,1.09093972686,-5.49e-8,4.8739264893,.0714252155,
6.20898471676,1.321e-7,.3870973858,-1.0e-10,.203179735,8.0e-10,.1334961992,-1.9e-9,1.09049318355,-5.34e-8,5.64891192172,.0714251432,
6.21008105778,1.367e-7,.3870977976,2.0e-10,.2031815317,6.0e-10,.1334801664,-1.9e-9,1.0900501225,-5.49e-8,.1406817077,.0714250293,
6.21119148393,1.296e-7,.3870985854,10.0e-11,.203184495,8.0e-10,.1334642445,-1.9e-9,1.0895951378,-5.59e-8,.9156861393,.0714248112,
6.21225834481,1.336e-7,.3870999457,-6.0e-10,.2031874878,1.8e-9,.1334480174,-2.1e-9,1.08913471594,-5.63e-8,1.690685942,.0714244347,
6.21332545619,1.365e-7,.3870981164,0,.2031905255,-3.0e-10,.1334305926,-2.1e-9,1.0886810441,-5.37e-8,2.46563608619,.071424941,
6.21443524239,1.351e-7,.387097744,1.0e-10,.2031941314,5.0e-10,.1334139819,-1.9e-9,1.08823850818,-5.46e-8,3.24062738659,.0714250441,
6.21553475801,1.34e-7,.3870988166,0,.2031992334,1.1e-9,.1333982116,-1.9e-9,1.08779145316,-5.65e-8,4.01562890274,.0714247472,
6.21660942727,1.255e-7,.3870986823,3.0e-10,.2032089674,-6.0e-10,.1333830378,-2.0e-9,1.08733095295,-5.62e-8,4.79066906154,
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3.15742274475,.0714246655,6.22417529587,1.337e-7,.3870975606,1.0e-10,.2032255612,1.0e-9,.1332653048,-2.0e-9,1.08416267076,
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1.06429428268,-5.53e-8,.3327575703,.0714249034,6.27289572722,1.323e-7,.3870987143,10.0e-11,.2033966092,7.0e-10,.1324901078,
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console.log(new Date().getTime() - start); // Time to parse array; typically on the order of couple ms

var epochLength = 8192;

function calculateBodyPosition(t) {
  var epoch = Math.round((t + 1930633.5) / epochLength);
  
  var adjT = t + 1930633.5 - epoch * epochLength;
  epoch *= 12;
  
  var axis = mercuryData[epoch] + adjT * mercuryData[epoch+1];
  var ecc = mercuryData[epoch+2] + adjT * mercuryData[epoch+3];
  var incl = mercuryData[epoch+4] + adjT * mercuryData[epoch+5];
  var ascn = mercuryData[epoch+6] + adjT * mercuryData[epoch+7];
  var anomaly = (mercuryData[epoch+8] + adjT * mercuryData[epoch+9]) % (2 * Math.PI);
  var peri = mercuryData[epoch+10] + adjT * mercuryData[epoch+11];
  
  return calculateBodyPositionFromOrbit(axis,ecc,incl,ascn,anomaly,peri);
}

function calculateBodyPositionFromOrbit(a,e,i,W,M,w) {
  var E = M;  // Eccentric anomaly

  // Newton's method: find root of M - E + e * sin(E)
  while (true) {
    var dE = (E - e * Math.sin(E) - M)/(1 - e * Math.cos(E));
    E -= dE;
    if (Math.abs(dE) < 1e-9) break;
  }

  // True anomaly
  var v = Math.atan2(Math.sqrt(1 + e) * Math.sin(E / 2), Math.sqrt(1 - e) * Math.cos(E / 2)) * 2;

  // Distance to center body
  var r = (a * (1 - e * e)) / (1 + e * Math.cos(v));

  // x, y, z coords relative to J2000 ecliptic
  var x = r * (Math.cos(W) * Math.cos(w + v) - Math.sin(W) * Math.sin(w + v) * Math.cos(i));
  var y = r * (Math.sin(W) * Math.cos(w + v) + Math.cos(W) * Math.sin(w + v) * Math.cos(i));
  var z = r * (Math.sin(i) * Math.sin(w + v));

  return [x,y,z];
}

console.log(calculateBodyPosition(2451545.0)); // Position at J2000
console.log(mercuryData.length * 8); // Size in bytes