NAME: Planet Migration Go to http://phet.colorado.edu/sims/my-solar-system/my-solar-system_en.html. This website loads a simulated solar system. This simulation uses only gravity to show the motions of the celestial objects. Initially there is just a star (the yellow dot in the center) and one massive planet (the purple dot). Press the “Start” button and watch the two objects orbit. 1. Which object has a larger orbital radius? 2. Which object has a longer orbital period? 3. Which object feels a stronger force: the star or the planet? How do you know? 4. Use Newton’s laws to explain why the star moves. 5. Use Newton’s laws to explain why the star’s orbit is smaller than the planet’s. Under “number of bodies,” select “4” to add two more planets. The mass of “body 2” should be “10,” and the mass of “body 3” and “body 4” should be “0.01”. Experiment with the velocity and position parameters by dragging the bodies and arrows with your mouse and pressing “Start.” By default, the bodies are arranged so that two of them orbit each other in addition to orbiting the star. Rearrange the planets so that they do not orbit each other, just the star. Find a configuration that causes the smaller planets to be ejected from the system. 6. What situations cause a planet to be ejected from the system? 7. What happens to the orbit of the large planet when an object is thrown from the solar system? Find a configuration that causes a smaller planet to be drawn into the central star. 8. What happens to the orbit of the large planet when an object is drawn into the central star? 9. Explain your answers to questions 7 and 8 using Newton’s 3rd law or the conservation of angular momentum.