Purchase Solution

# Determination of the mass of a planet from orbital dynamics

Not what you're looking for?

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.

* What is the mass of the planet?
* 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 .

##### Solution Summary

The orbit of a known satellite is described (radius 29100 km) , both its mass mass (830 kg) and velocity (14200 m/s) are given to determine the mass of the accompanying planet. The changes in potential energy and kinetic energy of the satellite is explined as the satellite moves from an orbit of 29100 km to one of 32010 km

##### Solution Preview

Satellite mass (m) in circular orbit with tangential velocity (v) of radius (r) from center of the planet has centripetal force

F = m*v^2/r (1)

To balance the satellite in orbit, this force equals the gravitational force given by (2).

F = GMm/r^2 (2)

Where M is the mass of the planet in question.

Equating (1) and (2) we ...

##### The Moon

Test your knowledge of moon phases and movement.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Basic Physics

This quiz will test your knowledge about basic Physics.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.