ok, so i've got an idea on what to do, but i cant seem to get the right answer, heres the question:(adsbygoogle = window.adsbygoogle || []).push({});

One of Jupiter's moons has a mass of 2.2x10^23kg and radius of 4600km. How high above the surface of the moon should a satellite of mass 112kg be so that it undergoes geosynchronous orbit about the moon? The rotational period of the moon is 0.7402 days.

So, I used T = [2*pi*(4600-r)^(3/2)] / [root (Gmp)], where mp is mass of planet (in this case the moon being orbited) and G is 6.67x10^-11. I converted the period into seconds, whereby 0.7402 days is 17.7648 hours, which is 63953.28s. I've also converted 4600km into 4,600,000m and kept mass in kilograms.

I plug in the numbers and keep getting 7.699x10^15m, which isn't correct. I'm not sure of the correct answer however, would just appreciate a shove in the right direction.

-Twiztidmxcn

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

Dismiss Notice

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: Geosynchronous orbit problem

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