如何使tkinter椭圆画布围绕一个圆旋转？

from tkinter import *
import math

root = Tk()
canvas = Canvas(root, width=400, height=400)
canvas.pack()

center_x = 200
center_y = 200
circle_radius = 50
ellipse_radius_x = 100
ellipse_radius_y = 150

def update_ellipse(angle):
    canvas.delete("all")  # 清除画布上的所有图形
    # 计算椭圆的新位置
    ellipse_x = center_x + ellipse_radius_x * math.cos(math.radians(angle))
    ellipse_y = center_y + ellipse_radius_y * math.sin(math.radians(angle))
    # 计算椭圆旋转后的新坐标
    rotated_ellipse_x = center_x + (ellipse_x - center_x) * math.cos(math.radians(angle)) - (ellipse_y - center_y) * math.sin(math.radians(angle))
    rotated_ellipse_y = center_y + (ellipse_x - center_x) * math.sin(math.radians(angle)) + (ellipse_y - center_y) * math.cos(math.radians(angle))
    # 绘制圆和椭圆
    canvas.create_oval(center_x - circle_radius, center_y - circle_radius, center_x + circle_radius, center_y + circle_radius, outline='black')
    canvas.create_oval(rotated_ellipse_x - ellipse_radius_x, rotated_ellipse_y - ellipse_radius_y, rotated_ellipse_x + ellipse_radius_x, rotated_ellipse_y + ellipse_radius_y, outline='black')
    # 更新角度
    angle += 1
    # 循环调用更新函数
    canvas.after(10, update_ellipse, angle)

# 初始调用更新函数
update_ellipse(0)

# 运行主窗口的消息循环
root.mainloop()