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planets_kepler.rb
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planets_kepler.rb
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require_relative 'planet_simulator'
class PlanetsKepler < PlanetSimulator
private
refd = -3543.0
refDate = "19 april 1990"
precessionFactor = "%f" % "3.82394E-5"
@@orbitals = {
:sun => {
n1: 0.0,
n2: 0.0,
i1: 0.0,
i2: 0.0,
w1: 282.9404,
w2: "4.70935E-5".to_f,
a: 1.0,
e1: 0.016709,
e2: "1.151E-9".to_f,
m1: 356.0470,
m2: 0.9856002585,
oblecl1: 23.4393,
oblecl2: "3.563E-7".to_f,
size: 69634, #size: 696342,
},
:mercury => {
n1: 48.3313,
n2: "3.24587E-5".to_f,
i1: 7.0047,
i2: "5.00E-8".to_f,
w1: 29.1241,
w2: "1.01444E-5".to_f,
a: 0.387098,
e1: 0.205635,
e2: "5.59E-10".to_f,
m1: 168.6562,
m2: 4.0923344368,
size: 2439,
},
:venus => {
n1: 76.6799,
n2: "2.46590E-5".to_f,
i1: 3.3946,
i2: "2.75E-8".to_f,
w1: 54.8910,
w2: "1.38374E-5".to_f,
a: 0.723330,
e1: 0.006773,
e2: "1.302E-9".to_f,
m1: 48.0052,
m2: 1.6021302244,
size: 6051,
},
:mars => {
n1: 49.5574,
n2: "2.11081E-5".to_f,
i1: 1.8497,
i2: "1.78E-8".to_f,
w1: 286.5016,
w2: "2.92961E-5".to_f ,
a: 1.523688 ,
e1: 0.093405,
e2: "2.516E-9".to_f,
m1: 18.6021,
m2: 0.5240207766,
size: 3389,
},
:jupiter => {
n1: 100.4542,
n2: "2.76854E-5".to_f,
i1: 1.3030 ,
i2: "1.557E-7".to_f,
w1: 273.8777,
w2: "1.64505E-5".to_f,
a: 5.20256 ,
e1: 0.048498,
e2: "4.469E-9".to_f,
m1: 19.8950,
m2: 0.0830853001,
size: 69911,
},
:saturn => {
n1: 113.6634,
n2: "2.38980E-5".to_f,
i1: 2.4886,
i2: "1.081E-7".to_f,
w1: 339.3939,
w2: "2.97661E-5".to_f,
a: 9.55475 ,
e1: 0.055546,
e2: "9.499E-9".to_f,
m1: 316.9670,
m2: 0.0334442282,
size: 58232,
},
:uranus => {
n1: 74.0005,
n2: "1.3978E-5".to_f,
i1: 0.7733,
i2: "1.9E-8".to_f,
w1: 96.6612,
w2: "3.0565E-5".to_f,
a1: 19.189253, #19.18171,
a2: "1.55E-8 ".to_f,
e1: 0.047220087, #0.047318,
e2: "7.45E-9".to_f,
m1: 142.5905,
m2: 0.011725806,
size: 25362,
},
:neptune => {
n1: 131.7806,
n2: "3.0173E-5".to_f,
i1: 1.7700,
i2: "2.55E-7".to_f,
w1: 272.8461,
w2: "6.027E-6".to_f,
a1: 30.05826,
a2: "3.313E-8 ".to_f,
e1: 0.008606,
e2: "2.15E-9".to_f,
m1: 260.2471,
m2: 0.005995147,
size: 24622,
}
}
@path
def initialize()
@path={}
@@orbitals.each_key{|k| @path[k]=[]}
end
def adjustByDate(orbital, day)
orbital[:n] = orbital[:n1] + day*orbital[:n2]
orbital[:i] = orbital[:i1] + day*orbital[:i2]
orbital[:w] = orbital[:w1] + day*orbital[:w2]
orbital[:e] = orbital[:e1] + day*orbital[:e2]
orbital[:m] = orbital[:m1] + day*orbital[:m2]
orbital[:a] = orbital[:a1] + day*orbital[:a2] if orbital.has_key?(:a1)
orbital[:oblecl] = orbital[:oblecl1] + day*orbital[:oblecl2] if orbital.has_key?(:oblecl1)
return orbital
end
def getCoordinates(ra, decl, r)
x = r * Math::cos(ra) * Math::cos(decl)
y = r * Math::sin(ra) * Math::cos(decl)
z = r * Math::sin(decl)
return [x,y,z]
end
def rotateEclipticToEquitorial(xeclip,yeclip,zeclip, oblecl)
xequat = xeclip
yequat = yeclip * Math::cos(oblecl) - zeclip * Math::sin(oblecl)
zequat = yeclip * Math::sin(oblecl) + zeclip * Math::cos(oblecl)
return [xequat, yequat, zequat]
end
def calcEIterative(orbital)
e0 = orbital[:e]
e1=0
while ( (e0 - e1).abs > 0.001)
e1 = e0 - ( e0 - orbital[:e]*(180/Math::PI) * Math::sin(e0) - orbital[:m] ) / ( 1 - orbital[:e] * Math::cos(e0) )
e0 = e1
end
return e1
end
def calcEcentricAnomaly(adjusted)
if adjusted[:e] < 0.06
ecentricAnomaly = adjusted[:m] + adjusted[:e]*(180/Math::PI) * Math::sin(adjusted[:m]) * ( 1.0 + adjusted[:e] * Math::cos(adjusted[:m]) )
else
ecentricAnomaly = calcEIterative(adjusted)
end
end
def calcDistanceAnomaly(orbital,ecentricAnomaly)
#puts "orbital"
#orbital.each{|key,value| puts "#{key}:#{value}"}
xv = orbital[:a] * ( Math::cos(ecentricAnomaly) - orbital[:e] )
yv = orbital[:a] * ( Math::sqrt(1.0 - orbital[:e]*orbital[:e]) * Math::sin(ecentricAnomaly) )
v = Math::atan2( yv, xv )
r = Math::sqrt( xv*xv + yv*yv )
return {r: r, v: v}
end
def calcEclipticPos(orbital, distAnom)
orbital[:x] = distAnom[:r] * ( Math::cos(orbital[:n]) * Math::cos(distAnom[:v]+orbital[:w]) - Math::sin(orbital[:n]) * Math::sin(distAnom[:v]+orbital[:w]) * Math::cos(orbital[:i]) )
orbital[:y] = distAnom[:r] * ( Math::sin(orbital[:n]) * Math::cos(distAnom[:v]+orbital[:w]) + Math::cos(orbital[:n]) * Math::sin(distAnom[:v]+orbital[:w]) * Math::cos(orbital[:i]) )
orbital[:z] = distAnom[:r] * ( Math::sin(distAnom[:v]+orbital[:w]) * Math::sin(orbital[:i]) )
orbital[:lon] = Math::atan2( orbital[:y], orbital[:x] )
orbital[:lat] = Math::atan2( orbital[:z], Math::sqrt(orbital[:x]*orbital[:x]+orbital[:y]*orbital[:y]) )
return orbital
end
def getPrecessionCorrection(epoch, d)
lon_corr = precessionFactor * ( 365.2422 * ( epoch - 2000.0 ) - d )
end
def convertLatLonToXYZ(orbital, distAnom)
orbital[:x] = distAnom[:r] * Math::cos(orbital[:lon]) * Math::cos(orbital[:lat])
orbital[:y] = distAnom[:r] * Math::sin(orbital[:lon]) * Math::cos(orbital[:lat])
orbital[:z] = distAnom[:r] * Math::sin(orbital[:lat])
return orbital
end
def correctPertuberations(orbital, name, day, distAnom)
mj = adjustByDate(@@orbitals[:jupiter], day)[:m]
ms = adjustByDate(@@orbitals[:saturn], day)[:m]
mu = adjustByDate(@@orbitals[:uranus], day)[:m]
case name
when :jupiter
orbital[:lon] += 0
-0.332 * Math::sin(2*mj - 5*ms - 67.6)
-0.056 * Math::sin(2*mj - 2*ms + 21)
+0.042 * Math::sin(3*mj - 5*ms + 21)
-0.036 * Math::sin(mj - 2*ms)
+0.022 * Math::cos(mj - ms)
+0.023 * Math::sin(2*mj - 3*ms + 52)
-0.016 * Math::sin(mj - 5*ms - 69)
orbital = convertLatLonToXYZ(orbital, distAnom)
when :saturn
orbital[:lon] += 0
+0.812 * Math::sin(2*mj - 5*ms - 67.6)
-0.229 * Math::cos(2*mj - 4*ms - 2)
+0.119 * Math::sin(mj - 2*ms - 3)
+0.046 * Math::sin(2*mj - 6*ms - 69)
+0.014 * Math::sin(mj - 3*ms + 32)
orbital[:lat] += 0
-0.020 * Math::cos(2*mj - 4*ms - 2)
+0.018 * Math::sin(2*mj - 6*ms - 49)
orbital = convertLatLonToXYZ(orbital, distAnom)
when :uranus
orbital[:lon] += 0
+0.040 * Math::sin(ms - 2*mu + 6)
+0.035 * Math::sin(ms - 3*mu + 33)
-0.015 * Math::sin(mj - mu + 20)
orbital = convertLatLonToXYZ(orbital, distAnom)
end
return orbital
end
public
def planetHelioEclipticOn(orbital, name, day)
adjusted = adjustByDate(orbital, day)
ecentricAnomaly = calcEcentricAnomaly(adjusted)
distAnom = calcDistanceAnomaly(adjusted, ecentricAnomaly)
eclipticPos = calcEclipticPos(adjusted, distAnom)
pertuberatedPos = correctPertuberations(eclipticPos, name, day, distAnom)
#precession
#eclPos[:lon] += getPrecessionCorrection(epoch, day)
#eclPos[:lat] += getPrecessionCorrection(epoch, day) unless isMoon
return pertuberatedPos
end
def planetHelioEquatorialOn(orbital, name, day)
pos = planetHelioEclipticOn(orbital, name, day)
ecl = 23.4393 - "3.563E-7".to_f * day
pos[:x] = pos[:x]
pos[:y] = pos[:y] * Math::cos(ecl) - pos[:z] * Math::sin(ecl)
pos[:z] = pos[:y] * Math::sin(ecl) + pos[:z] * Math::cos(ecl)
return pos
end
def getPaths
return @path
end
def simulateOneStep(delta_t)
orbitals = @@orbitals.inject({}){|res, (name, orbital)| res[name]=planetHelioEquatorialOn(orbital, name, delta_t); res[name][:size]=orbital[:size]; res }
orbitals.map.with_index{|(name,orbital), i| @path[name].push( [orbital[:x],orbital[:y],orbital[:z]] ) }
return orbitals
end
def getPlanetList
@@orbitals.keys
end
#http://www.stjarnhimlen.se/comp/ppcomp.html
end