Discuss the below:
Q: Determination of the mass of a planet from orbital dynamics
1. A satellite of mass 830 kg orbits a planet of unknown mass at a distance of 29100 km from the planet's center. The orbital velocity of the satellite is 14200 m/s.
a. What is the mass of the planet?
b. How much would potential energy (PE) and kinetic energy (KE) of this satellite change as the satellite moved from a circular orbit of radius 29100 km to a circular orbit of radius 32010 km?
Consider G = 6.67 * 10^-11 N m^2 / kg^2 .