from tempfile import NamedTemporaryFile
import matplotlib.pyplot as plt
from matplotlib import animation
from IPython.display import HTML
import numpy as np

IMG_TAG = """<img src="data:image/gif;base64,{0}" alt="some_text">"""

def anim_to_gif(anim):
    data="0"
    with NamedTemporaryFile(suffix='.gif') as f:
        anim.save(f.name, writer='imagemagick', fps=10);
        data = open(f.name, "rb").read()
        data = data.encode("base64")
    return IMG_TAG.format(data)

def display_animation(anim):
    plt.close(anim._fig)
    return HTML(anim_to_gif(anim))

fig = plt.figure()
fig.set_dpi(100)
fig.set_size_inches(7, 6.5)

ax = plt.axes(xlim=(0, 10), ylim=(0, 10))
patch = plt.Circle((5, -5), 0.75, fc='y')
patch2 = plt.Circle((5, -5), 0.1, fc='b')
c= np.array([5,5])


def init():
    patch.center = (5, 5)
    ax.add_patch(patch)
    ax.add_patch(patch2)
    return patch,

def animate(i):
    x = 5 + 3 * np.sin(np.radians(i))
    y = 5 + 3 * np.cos(np.radians(i))
    patch.center = (x, y)
    patch2.center = (x-0.6*np.sin(np.radians(5*i)),y+0.6*np.cos(np.radians(5*i)))
    return patch2,

anim = animation.FuncAnimation(fig, animate, 
                               init_func=init, frames=[5.8*x for x in range(62)], interval=1, blit=True)
display_animation(anim)