# Homework Help: Geosynchronus Orbit

1. Jul 16, 2008

### Lance WIlliam

1. The problem statement, all variables and given/known data
Find the speed of a satellite in geosynchronous orbit?

in finding the speed for geosnychronous orbit the Time is 1 day, or 24hours , 86400 seconds.
I tried using
T^2=4(pi)^2(r)^3/GM is the eqn.
I manipluated it into:

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

Once I found r I used it as Distance and then used:
V=D/T
...

i think my units are wrong. When using the eqn. does ur distance come out in meters or Kilometers?

2. Jul 16, 2008

### Astronuc

Staff Emeritus
It would help if one would right out the values for G, M, T.

They should all be consistent in m, kg, s (meter, kilogram, second).

3. Jul 17, 2008

### Lance WIlliam

But is my process right?
Once I find 'r" do I use v=d/t to find the speed?

4. Jul 17, 2008

### Barny

I disagree with you expression for the radius, In my opinion you are missing a set of brackets or have made a mistake in your powers. Then as Astronuc said, to check the units simply substitute in their values to check the units cancel down.

Have you considered using angular velocity to solve for the speed?