[hardwired]

Hyduken on street fighter.
I didn't find an example of this so used two balls (trying to get two balls to more around inside the larger ball) to illustrate one way you could approach this.

Code:

import java.awt.*;
import java.awt.geom.*;
import javax.swing.*;

public class SpinTest extends JPanel implements Runnable {
    double cx = 140, cy = 140;
    Ellipse2D.Double green = new Ellipse2D.Double(cx-50,cy-50,100,100);
    Ellipse2D.Double red   = new Ellipse2D.Double(cx-20,cy-50,40,40);
    Ellipse2D.Double blue  = new Ellipse2D.Double(cx-20,cy+10,40,40);
    Shape[] shapes = { green, red, blue };
    double xLoc = 0;
    int dx = 2;
    double theta = 0;
    double thetaInc = Math.toRadians(3);
    long delay = 100;

    protected void paintComponent(Graphics g) {
        super.paintComponent(g);
        Graphics2D g2 = (Graphics2D)g;
        g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
                            RenderingHints.VALUE_ANTIALIAS_ON);
        g2.setPaint(Color.red);
        g2.draw(shapes[1]);
        g2.setPaint(Color.blue);
        g2.draw(shapes[2]);
        g2.setPaint(Color.green.darker());
        g2.draw(shapes[0]);
        g2.setPaint(Color.magenta);
        Point2D.Double p = getCenter(shapes[0]);
        g2.fill(new Ellipse2D.Double(p.x-2, p.y-2, 4, 4));
   }

    public void run() {
        boolean move = true;
        while(move) {
            try {
                Thread.sleep(delay);
            } catch(InterruptedException e) {
                move = false;
                System.out.println("interrupted");
            }
            advance();
        }
    }

    private void advance() {
        checkBoundries();
        xLoc += dx;
        AffineTransform at = AffineTransform.getTranslateInstance(xLoc,0);
        shapes[0] = at.createTransformedShape(green);
        theta += thetaInc;
        Point2D.Double mp = getCenter(shapes[0]);
        Point2D.Double p = getCenter(red);
        double x = mp.x - p.x;
        //double y = mp.y - p.y;
        at = AffineTransform.getTranslateInstance(x, 0);
        at.rotate(theta, cx, cy);
        shapes[1] = at.createTransformedShape(red);
        shapes[2] = at.createTransformedShape(blue);
        repaint();
    }

    private Point2D.Double getCenter(Shape s) {
        Point2D.Double p = new Point2D.Double();
        Rectangle r = s.getBounds();
        p.x = r.getCenterX();
        p.y = r.getCenterY();
        return p;
    }

    private void checkBoundries() {
        Rectangle r = shapes[0].getBounds();
        if(r.x + dx < 0 || r.x + r.width + dx > getWidth())
            dx *= -1;
    }

    private void start() {
        while(!isVisible()) {
            try {
                Thread.sleep(25);
            } catch(InterruptedException e) {
                break;
            }
        }
        Thread thread = new Thread(this);
        thread.setPriority(Thread.NORM_PRIORITY);
        thread.start();
    }

    public static void main(String[] args) {
        SpinTest test = new SpinTest();
        JFrame f = new JFrame();
        f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        f.getContentPane().add(test);
        f.setSize(400,400);
        f.setLocation(200,200);
        f.setVisible(true);
        test.start();
    }
}