Thursday

November 20, 2014

November 20, 2014

Posted by **Joan** on Tuesday, March 11, 2008 at 10:37pm.

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 1:54amYou 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(HELP) - A satellite with a mass of ms = 7.00 × 103 kg is in a planet's ...

physics - 3) A satellite is orbiting Earth at a distance of 57 kilometers. The ...

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 ...

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 × ...

Physics 1111: Orbitals and Distance - A planet has two satellite moons. Moon X ...

physics - A satellite with mass 6.00*10^3 is in the equatorial plane in a ...

physics 12 - An 884 kg satellite in orbit around a planet has a gravitational ...