Worksheet: Gravitational Potential Energy in Radial Gravitational Fields
In this worksheet, we will practice calculating the kinetic energy, gravitational potential energy, and total energy of objects with orbital trajectories.
There are two planets in orbit around a star. Both planets have circular orbits. Planet has a speed of , and Planet has a speed of . (Give your answers to these questions as a decimal if necessary.)
What is the ratio of the orbital radii of the two planets, ?
What is the ratio of the orbital periods of the two planets, ?