Worksheet: Kepler's Laws of Planetary Motion
In this worksheet, we will practice using Kepler's first, second, and third laws of planetary motion to determine the dynamics of elliptical orbits.
A geosynchronous Earth satellite is one that has an orbital period of precisely one Earth day. A satellite in a geosynchronous orbit remains directly above a particular point on Earth’s surface throughout its orbit. What is the orbital radius of such a satellite if a day is considered as s? Take the radius of Earth to be 6,370 km.
- A km
- B km
- C km
- D km
- E km
A satellite in a geosynchronous circular orbit is 46,120.00 km from the center of Earth. A small asteroid collides with the satellite, sending it into an elliptical orbit of apogee 43,000.00 km. What is the speed of the satellite at apogee? Assume that the satellite’s angular momentum is conserved. Use as Earth’s mass.