Posted by Joan on Tuesday, March 11, 2008 at 10:37pm.
Consider planet mass of 4.98 E 21 kilograms with a satellite orbitting it at distance of 3.11 E 6 meters from planet's center. Satellite has mass of 369 kilograms.
How long (inseconds) does it take the satellite to make one complete orbit around planet.
I just can't seem to get the correct answer  Please show me step by step.
Thanks

Physics Honors  drwls, Wednesday, March 12, 2008 at 1:54am
You need to set the gravitational force equal to the centripetal force. The period will be independent of the satellite's mass (m when it is small compared to the planet mass M.
GMm/R^2 = mV^2/R
m cancels out, so
GM/R = V^2
The period P is related to the Orbit radius R and velocity V by
V P = 2 pi R
Therefore
(2 pi R)^2/P^2 = GM/R
R^3 * (4 pi^2/GM)= P^2
G is the universal constant of gravity,
6.67*10^11 m^3 kg^1 s^2
Answer This Question
Related Questions
 PHYSICS  HELP. I need to understand this for a test tomorrow. THANKS Consider ...
 physics  3) A satellite is orbiting Earth at a distance of 57 kilometers. The ...
 PHYSICS(HELP)  A satellite with a mass of ms = 7.00 × 103 kg is in a planet's ...
 physics 12  An 884 kg satellite in orbit around a planet has a gravitational ...
 physics  A satellite orbits a planet at a distance of 3.80 108 m. Assume that ...
 physics  A satellite with a mass of ms = 7.00 × 103 kg is in a planet's ...
 math  A model of a planet shows a satellite moving in an elliptical orbit about...
 physics  A satellite with mass 6.00*10^3 is in the equatorial plane in a ...
 physics  A satellite with mass 6.00*10^3 is in the equatorial plane in a ...
 Physics  A satellite has a mass of 6146 kg and is in a circular orbit 4.57 × ...
More Related Questions