Exploration 12.1: Different xo or vo for Planetary Orbits



choose x0 =

Please wait for the animation to completely load.

This Exploration shows 10 identical planets orbiting a star. The initial position of the planets can be set at t = 0 time units when the planets are on the x axis. The difference in orbital trajectory, therefore, is due to the planets' initial velocities (in this animation GM = 1000). Restart.

  1. As you vary the initial positions of the planets, how do the orbital trajectories change?
  2. Find a planet with circular motion. What is the period for this motion?
  3. What happens to the orbit when x gets really small?
  4. What happens to the orbit when x gets really large?


choose v0y =

Please wait for the animation to completely load.

This part of the Exploration shows 10 identical planets orbiting a star. The initial velocity of the planets can be set at t = 0 time units when the planets are on the x axis.

  1. As you vary the initial velocities of the planets, how do the orbital trajectories change?
  2. Find a planet with circular motion. What is the period for this motion?
  3. What happens to the orbit when v gets really small?
  4. What happens to the orbit when v gets really large?

Download PDF Worksheet

Exploration authored by Mario Belloni and modified by Emmy Belloni.


Physlets were developed at Davidson College and converted from Java to JavaScript using the SwingJS system developed at St. Olaf College.

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Physlet Physics
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