[Python] Python animation polar plot

I tried to create an animation with this plot, where with the increase of 'beta' the curves go stretching, but I could not. Please, can anyone help me?

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation

# Data:
mu = 1
e = 1
a = 1
c = 1
beta = np.linspace(0.0 ,0.5,25)
C = (mu*((e*a)**2)) / (16*(np.pi**2)*c)

theta = np.linspace(-2 * np.pi, 2 * np.pi, 200)

fig = plt.figure(figsize=(6,6))
ax = plt.subplot(111, polar=True)

for i in range(len(beta)):
b = beta
r = ((np.sin(theta))**2) / ((1 - b*np.cos(theta))**5)
dP = C*r
ax.plot(theta, dP)
ax.set_yticklabels([])
if i==10000:
break

plt.show()

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