Simple Example Orbiting With Vector2

# Improved. Instead of using angle. I use a rotation vector.
import pygame

TRANSPARENT = 0, 0, 0, 0
ORBIT_SPEED = 3000

def get_angle_vector(distance=1, angle=0):
    vector = pygame.Vector2()
    vector.from_polar((distance, angle))
    return vector

def create_circle(size, color):
    rect = pygame.Rect((0, 0), size)
    surface = pygame.Surface(size, pygame.SRCALPHA)
    surface.fill(TRANSPARENT)
    radius = min((rect.centerx, rect.centery))
    pygame.draw.circle(surface, color, rect.center, radius)
    return surface

class OrbitObject(pygame.sprite.Sprite):
    def __init__(self, image, position, distance):
        super().__init__()
        self.image = image
        self.rect = image.get_rect()
        self.orbit_point = position
        self.rotation_vector = get_angle_vector(distance, 0)
        self.speed = ORBIT_SPEED / distance
        self.rect.center = self.rotation_vector + self.orbit_point

    def update(self, delta):
        self.rotation_vector.rotate_ip(self.speed * delta)
        self.rect.center = self.rotation_vector + self.orbit_point

def main(caption, width, height, flags=0, fps=60):
    # Simple Pygame Setup
    pygame.display.set_caption(caption)
    surface = pygame.display.set_mode((width, height), flags)
    rect = surface.get_rect()
    clock = pygame.time.Clock()
    running = True
    delta = 0
    fps = fps

    # Variables
    background_color = 'black'
    images = []
    images.append(create_circle((10, 40), 'lawngreen'))
    images.append(create_circle((20, 40), 'dodgerblue'))
    images.append(create_circle((40, 40), 'violet'))

    sprites = pygame.sprite.Group(OrbitObject(images[0], rect.center, 20),
                                  OrbitObject(images[1], rect.center, 50),
                                  OrbitObject(images[2], rect.center, 150))

    # Main Loop
    while running:
        for event in pygame.event.get():
            if event.type == pygame.MOUSEBUTTONDOWN:
                if event.button == 1:
                    for sprite in sprites:
                        sprite.orbit_point = event.pos
                elif event.button == 3:
                    for sprite in sprites:
                        sprite.orbit_point = rect.center
            elif event.type == pygame.QUIT:
                running = False

        # Logic
        sprites.update(delta)

        # Draw
        surface.fill(background_color)
        sprites.draw(surface)

        # Render Buffer To Screen
        pygame.display.flip()
        # Idle And Get Delta Time
        delta = clock.tick(fps) / 1000

pygame.init()
main('Orbit with vectors', 800, 600)
pygame.quit()