Geosynchronous Orbits Video Lessons

Video Thumbnail

Concept

Problem: An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 45 hours. The spaceship enters a geosynchronous orbit at a distance of R = 8.7 × 108 m Part (a) From the given information, write an equation for the mass of the planet. Part (b) Calculate the mass of the planet in kilograms. 

FREE Expert Solution

Centripetal forces are equal to gravitational forces. 

ΣFC=maC

(a)

Centripetal force:

FC=GMmR2

Centripetal acceleration:

aC=v2R

Substituting:

GMmR2=mv2Rv=GMR

The velocity, v is:

v=2πRT

82% (264 ratings)
View Complete Written Solution
Problem Details

An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 45 hours. The spaceship enters a geosynchronous orbit at a distance of R = 8.7 × 108

Part (a) From the given information, write an equation for the mass of the planet. 

Part (b) Calculate the mass of the planet in kilograms. 

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Geosynchronous Orbits concept. You can view video lessons to learn Geosynchronous Orbits. Or if you need more Geosynchronous Orbits practice, you can also practice Geosynchronous Orbits practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Severson's class at UMD.