行星倾角，沿眶轨道的轨道旋转轴与蟒蛇

Question

我正在尝试对正在被月球轨道运行的行星进行简单模拟。到目前为止，我有一个解决行星和月球轨道的2个身体问题。现在我想向行星添加一个固定的旋转轴，看看它是如何受月球影响的。知道如何使用python完成这项工作吗？

可以使用以下代码运行两个身体问题：

import pylab
import math
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt

# Set Constants
G = 6.67e-11
AU = 1.5e11
daysec = 24.0*60*60

Ma =5.972e24   # Planet mass in Kg
Mb = 7.348e22   # Moon mass in Kg


gravconst = G*Ma*Mb

# Set up starting conditions

# Planet
xa = 0.0
ya = 0.0
za = 0.0

xva = 0.0
yva = 0.0
zva = 0.0

# Moon
xb = 384400000
yb = 0.0
zb = 0.0

xvb = 0.0
yvb = 1000.0
zvb = 0.0

# Time steps
t = 0.0
dt = 0.01*daysec

# Coordinate lists
xalist = []
yalist = []

xblist = []
yblist = []

zalist = []
zblist = []

# Loop
while t < 100.0*daysec:
    # Compute Force
    rx = xb-xa
    ry = yb-ya
    rz = zb-za

    modr3 = (rx**2+ry**2+rz**2)**1.5

    fx = -gravconst*rx/modr3
    fy = -gravconst*ry/modr3
    fz = -gravconst*rz/modr3

    # Update quantities
    # Moon
    xvb += fx*dt/Mb
    yvb += fy*dt/Mb
    zvb += fz*dt/Mb

    xb += xvb*dt
    yb += yvb*dt
    zb += zvb*dt

    # Planet
    xva += -fx*dt/Ma
    yva += -fy*dt/Ma
    zva += -fz*dt/Ma

    xa += xva*dt
    ya += yva*dt
    za += zva*dt

    t += dt

    # Saving them in lists
    xalist.append(xa)
    yalist.append(ya)
    zalist.append(za)

    xblist.append(xb)
    yblist.append(yb)
    zblist.append(zb)


xalist[:] = [x / 1e6 for x in xalist]
yalist[:] = [x / 1e6 for x in yalist]
zalist[:] = [x / 1e6 for x in zalist]

xblist[:] = [x / 1e6 for x in xblist]
yblist[:] = [x / 1e6 for x in yblist]
zblist[:] = [x / 1e6 for x in zblist]

#Creating the point to represent the planet at the origin (not to       scale),
plt.scatter(0,0,s=200,color='blue')
plt.annotate('Planet', xy=(-45,-50))
plt.scatter(xblist[0],0,s=100,color='grey')
plt.annotate('Mond', xy=(xblist[0]-45,-50))

# Plotting
pylab.plot(xalist, yalist, "-g")
pylab.plot(xblist, yblist, "-r")
plt.axhline(0, color='black')
plt.axvline(0, color='black')
pylab.axis("equal")
pylab.xlabel("X (Mio. Meter)")
pylab.ylabel("Y (Mio. Meter)")
pylab.show()