(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A satellite is to be put into an equatorial orbit with an orbital period of 12 hours.

Given: 12 Hours = 12 X 60 X 60 seconds

What is the radius?

What is the orbital speed?

How many times a day will the satellite be over the same point on the equator if the satellite orbits in the same direction of the Earth's rotation? If it orbits in the opposite direction?

2. Relevant equations

r= (GMT^2)/(4pi^2 )^1/3

G = Gravitational Constant = 6.67 X 10^-11 N m^2/kg^2

M = Mass of earth 5.98 X 10^24 kg

T = time

V= Radical (GM/r)

r = radius

3. The attempt at a solution

Well I started with the radius equation and plugged everything in

r= ((6.67×10^(-11) N∙m^2∕kg^2 × 5.98×10^24 kg × (12×60×60 s)^2)/(4pi^2 ))^(1/3)

However I had trouble working it out. Then the other problems just went over my head.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Gravitation Question

**Physics Forums | Science Articles, Homework Help, Discussion**