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plottingV2.py
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298 lines (214 loc) · 11.1 KB
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import matplotlib.pyplot as plt
from mpl_toolkits import mplot3d
from jplephem.spk import SPK
from fourthRungeKutta import computeRk4
kernel = SPK.open('de440.bsp')
def Plotting(xCraftStart, yCraftStart, zCraftStart,
xVel_leg1, yVel_leg1, zVel_leg1, tof_leg1,
xVel_leg2, yVel_leg2, zVel_leg2, tof_leg2,
xVel_leg3, yVel_leg3, zVel_leg3, tof_leg3,
xVel_leg4, yVel_leg4, zVel_leg4, tof_leg4,
timestep, julianTime):
mass_sun = 1.989e30
kernel = SPK.open('de440.bsp')
xTrajectory, yTrajectory , zTrajectory = [], [], []
xEarthTrajectory, yEarthTrajectory , zEarthTrajectory = [], [], []
xJupiterTrajectory, yJupiterTrajectory, zJupiterTrajectory = [], [], []
xSaturnTrajectory, ySaturnTrajectory, zSaturnTrajectory = [], [], []
xUranusTrajectory, yUranusTrajectory, zUranusTrajectory = [], [], []
xNeptuneTrajectory, yNeptuneTrajectory, zNeptuneTrajectory = [], [], []
xCraft = xCraftStart
yCraft = yCraftStart
zCraft = zCraftStart
xSun = 0
ySun = 0
zSun = 0
# ###### Leg 1 ########
tFirstLeg = 0
tEndFirstLeg = tof_leg1 * 86400
vxCraft = xVel_leg1
vyCraft = yVel_leg1
vzCraft = zVel_leg1
while tFirstLeg < tEndFirstLeg:
k = computeRk4(xCraft, yCraft, zCraft, xSun, ySun, zSun, vxCraft, vyCraft, vzCraft, mass_sun, timestep)
xCraft += (timestep / 6) * (k[0] + 2 * k[6] + 2 * k[12] + k[18])
yCraft += (timestep / 6) * (k[1] + 2 * k[7] + 2 * k[13] + k[19])
zCraft += (timestep / 6) * (k[2] + 2 * k[8] + 2 * k[14] + k[20])
vxCraft += (timestep / 6) * (k[3] + 2 * k[9] + 2 * k[15] + k[21])
vyCraft += (timestep / 6) * (k[4] + 2 * k[10] + 2 * k[16] + k[22])
vzCraft += (timestep / 6) * (k[5] + 2 * k[11] + 2 * k[17] + k[23])
updatedJulianTime = julianTime + (tFirstLeg / 86400.0)
earthPositionKM = kernel[0, 3].compute(updatedJulianTime)
earthPositionM = earthPositionKM * 1000
jupiterPositionKM = kernel[0, 5].compute(updatedJulianTime)
jupiterPositionM = jupiterPositionKM * 1000
saturnPositionKM = kernel[0, 6].compute(updatedJulianTime)
saturnPositionM = saturnPositionKM * 1000
uranusPositionKM = kernel[0, 7].compute(updatedJulianTime)
uranusPositionM = uranusPositionKM * 1000
neptunePositionKM = kernel[0, 8].compute(updatedJulianTime)
neptunePositionM = neptunePositionKM * 1000
xEarthTrajectory.append(earthPositionM[0])
yEarthTrajectory.append(earthPositionM[1])
zEarthTrajectory.append(earthPositionM[2])
xJupiterTrajectory.append(jupiterPositionM[0])
yJupiterTrajectory.append(jupiterPositionM[1])
zJupiterTrajectory.append(jupiterPositionM[2])
xSaturnTrajectory.append(saturnPositionM[0])
ySaturnTrajectory.append(saturnPositionM[1])
zSaturnTrajectory.append(saturnPositionM[2])
xUranusTrajectory.append(uranusPositionM[0])
yUranusTrajectory.append(uranusPositionM[1])
zUranusTrajectory.append(uranusPositionM[2])
xNeptuneTrajectory.append(neptunePositionM[0])
yNeptuneTrajectory.append(neptunePositionM[1])
zNeptuneTrajectory.append(neptunePositionM[2])
xTrajectory.append(xCraft[0])
yTrajectory.append(yCraft[0])
zTrajectory.append(zCraft[0])
tFirstLeg += timestep
# ####### Leg 2 #########
tSecondLeg = (tof_leg1) * 86400
tEndSecondLeg = (tof_leg1+tof_leg2)*86400
vxCraft = xVel_leg2
vyCraft = yVel_leg2
vzCraft = zVel_leg2
while tSecondLeg < tEndSecondLeg:
k = computeRk4(xCraft, yCraft, zCraft, xSun, ySun, zSun, vxCraft, vyCraft, vzCraft, mass_sun, timestep)
xCraft += (timestep / 6) * (k[0] + 2 * k[6] + 2 * k[12] + k[18])
yCraft += (timestep / 6) * (k[1] + 2 * k[7] + 2 * k[13] + k[19])
zCraft += (timestep / 6) * (k[2] + 2 * k[8] + 2 * k[14] + k[20])
vxCraft += (timestep / 6) * (k[3] + 2 * k[9] + 2 * k[15] + k[21])
vyCraft += (timestep / 6) * (k[4] + 2 * k[10] + 2 * k[16] + k[22])
vzCraft += (timestep / 6) * (k[5] + 2 * k[11] + 2 * k[17] + k[23])
updatedJulianTime = julianTime + (tSecondLeg / 86400.0)
earthPositionKM = kernel[0, 3].compute(updatedJulianTime)
earthPositionM = earthPositionKM * 1000
jupiterPositionKM = kernel[0, 5].compute(updatedJulianTime)
jupiterPositionM = jupiterPositionKM * 1000
saturnPositionKM = kernel[0, 6].compute(updatedJulianTime)
saturnPositionM = saturnPositionKM * 1000
uranusPositionKM = kernel[0, 7].compute(updatedJulianTime)
uranusPositionM = uranusPositionKM * 1000
neptunePositionKM = kernel[0, 8].compute(updatedJulianTime)
neptunePositionM = neptunePositionKM * 1000
xEarthTrajectory.append(earthPositionM[0])
yEarthTrajectory.append(earthPositionM[1])
zEarthTrajectory.append(earthPositionM[2])
xJupiterTrajectory.append(jupiterPositionM[0])
yJupiterTrajectory.append(jupiterPositionM[1])
zJupiterTrajectory.append(jupiterPositionM[2])
xSaturnTrajectory.append(saturnPositionM[0])
ySaturnTrajectory.append(saturnPositionM[1])
zSaturnTrajectory.append(saturnPositionM[2])
xUranusTrajectory.append(uranusPositionM[0])
yUranusTrajectory.append(uranusPositionM[1])
zUranusTrajectory.append(uranusPositionM[2])
xNeptuneTrajectory.append(neptunePositionM[0])
yNeptuneTrajectory.append(neptunePositionM[1])
zNeptuneTrajectory.append(neptunePositionM[2])
xTrajectory.append(xCraft[0])
yTrajectory.append(yCraft[0])
zTrajectory.append(zCraft[0])
tSecondLeg += timestep
# ###### Leg 3 ########
tThirdLeg = (tof_leg1+tof_leg2)*86400
tEndThirdLeg = (tof_leg1+tof_leg2+tof_leg3)*86400
vxCraft = xVel_leg3
vyCraft = yVel_leg3
vzCraft = zVel_leg3
while tThirdLeg < tEndThirdLeg:
k = computeRk4(xCraft, yCraft, zCraft, xSun, ySun, zSun, vxCraft, vyCraft, vzCraft, mass_sun, timestep)
xCraft += (timestep / 6) * (k[0] + 2 * k[6] + 2 * k[12] + k[18])
yCraft += (timestep / 6) * (k[1] + 2 * k[7] + 2 * k[13] + k[19])
zCraft += (timestep / 6) * (k[2] + 2 * k[8] + 2 * k[14] + k[20])
vxCraft += (timestep / 6) * (k[3] + 2 * k[9] + 2 * k[15] + k[21])
vyCraft += (timestep / 6) * (k[4] + 2 * k[10] + 2 * k[16] + k[22])
vzCraft += (timestep / 6) * (k[5] + 2 * k[11] + 2 * k[17] + k[23])
updatedJulianTime = julianTime + (tThirdLeg / 86400.0)
earthPositionKM = kernel[0, 3].compute(updatedJulianTime)
earthPositionM = earthPositionKM * 1000
jupiterPositionKM = kernel[0, 5].compute(updatedJulianTime)
jupiterPositionM = jupiterPositionKM * 1000
saturnPositionKM = kernel[0, 6].compute(updatedJulianTime)
saturnPositionM = saturnPositionKM * 1000
uranusPositionKM = kernel[0, 7].compute(updatedJulianTime)
uranusPositionM = uranusPositionKM * 1000
neptunePositionKM = kernel[0, 8].compute(updatedJulianTime)
neptunePositionM = neptunePositionKM * 1000
xEarthTrajectory.append(earthPositionM[0])
yEarthTrajectory.append(earthPositionM[1])
zEarthTrajectory.append(earthPositionM[2])
xJupiterTrajectory.append(jupiterPositionM[0])
yJupiterTrajectory.append(jupiterPositionM[1])
zJupiterTrajectory.append(jupiterPositionM[2])
xSaturnTrajectory.append(saturnPositionM[0])
ySaturnTrajectory.append(saturnPositionM[1])
zSaturnTrajectory.append(saturnPositionM[2])
xUranusTrajectory.append(uranusPositionM[0])
yUranusTrajectory.append(uranusPositionM[1])
zUranusTrajectory.append(uranusPositionM[2])
xNeptuneTrajectory.append(neptunePositionM[0])
yNeptuneTrajectory.append(neptunePositionM[1])
zNeptuneTrajectory.append(neptunePositionM[2])
xTrajectory.append(xCraft[0])
yTrajectory.append(yCraft[0])
zTrajectory.append(zCraft[0])
tThirdLeg += timestep
# ##### Leg 4 ########
tFourthLeg = (tof_leg1 + tof_leg2+tof_leg3) * 86400
tEndFourthLeg = (tof_leg1 + tof_leg2 + tof_leg3+tof_leg4) * 86400
vxCraft = xVel_leg4
vyCraft = yVel_leg4
vzCraft = zVel_leg4
while tFourthLeg < tEndFourthLeg:
k = computeRk4(xCraft, yCraft, zCraft, xSun, ySun, zSun, vxCraft, vyCraft, vzCraft, mass_sun, timestep)
xCraft += (timestep / 6) * (k[0] + 2 * k[6] + 2 * k[12] + k[18])
yCraft += (timestep / 6) * (k[1] + 2 * k[7] + 2 * k[13] + k[19])
zCraft += (timestep / 6) * (k[2] + 2 * k[8] + 2 * k[14] + k[20])
vxCraft += (timestep / 6) * (k[3] + 2 * k[9] + 2 * k[15] + k[21])
vyCraft += (timestep / 6) * (k[4] + 2 * k[10] + 2 * k[16] + k[22])
vzCraft += (timestep / 6) * (k[5] + 2 * k[11] + 2 * k[17] + k[23])
updatedJulianTime = julianTime + (tFourthLeg / 86400.0)
earthPositionKM = kernel[0, 3].compute(updatedJulianTime)
earthPositionM = earthPositionKM * 1000
jupiterPositionKM = kernel[0, 5].compute(updatedJulianTime)
jupiterPositionM = jupiterPositionKM * 1000
saturnPositionKM = kernel[0, 6].compute(updatedJulianTime)
saturnPositionM = saturnPositionKM * 1000
uranusPositionKM = kernel[0, 7].compute(updatedJulianTime)
uranusPositionM = uranusPositionKM * 1000
neptunePositionKM = kernel[0, 8].compute(updatedJulianTime)
neptunePositionM = neptunePositionKM * 1000
xEarthTrajectory.append(earthPositionM[0])
yEarthTrajectory.append(earthPositionM[1])
zEarthTrajectory.append(earthPositionM[2])
xJupiterTrajectory.append(jupiterPositionM[0])
yJupiterTrajectory.append(jupiterPositionM[1])
zJupiterTrajectory.append(jupiterPositionM[2])
xSaturnTrajectory.append(saturnPositionM[0])
ySaturnTrajectory.append(saturnPositionM[1])
zSaturnTrajectory.append(saturnPositionM[2])
xUranusTrajectory.append(uranusPositionM[0])
yUranusTrajectory.append(uranusPositionM[1])
zUranusTrajectory.append(uranusPositionM[2])
xNeptuneTrajectory.append(neptunePositionM[0])
yNeptuneTrajectory.append(neptunePositionM[1])
zNeptuneTrajectory.append(neptunePositionM[2])
xTrajectory.append(xCraft[0])
yTrajectory.append(yCraft[0])
zTrajectory.append(zCraft[0])
tFourthLeg += timestep
plt.ion()
fig = plt.figure(figsize=(6, 6))
plt.xlim([-5e12, 5e12])
plt.ylim([-5e12, 5e12])
for i in range(0, len(xTrajectory), 30):
plt.scatter(xTrajectory[i], yTrajectory[i], s=1, c='black')
plt.scatter(xEarthTrajectory[i], yEarthTrajectory[i], s=1, c='blue')
plt.scatter(xJupiterTrajectory[i], yJupiterTrajectory[i], s=1, c='orange')
plt.scatter(xSaturnTrajectory[i], ySaturnTrajectory[i], s=1, c='red')
plt.scatter(xUranusTrajectory[i], yUranusTrajectory[i], s=1, c='magenta')
plt.scatter(xNeptuneTrajectory[i], yNeptuneTrajectory[i], s=1, c='purple')
plt.draw()
plt.pause(0.00001)