What Are the Formulas for Calculating Height in Synchronous Orbit?

[Shelilla]

Homework Statement

In order for the enterprise to use its transporter it must be in synchronous orbit over the beam-down point. What heigh above the planet Mars must the enterprise be for a synchronous orbit?

Homework Equations

Please, can someone tell me for future reference what I should use in the formulas for this sort of equation? For every solution I've tried on this, all of them require some radius, so should I use the radius of mars?? And please don't just tell me 'combine Newton's something law and something something law' because frankly that doesn't mean anything to me and confuses me extremely, because I find it very hard and incomprehensible to combine formulas.

Fg= Gm1m2/r^2
ac=4pi^2r/T^2
F=ma?
g=Fg/m?
T=sqrt4pi^2r^3/Gm?
v=sqrtGm/r?

The Attempt at a Solution

I've tried several, but I'm just not sure where to start. Should I get the Fg? The ac? I was told that since it's in a synchronous orbit the period of rotation will be the same as the planet, so all I know for sure so far is that T=8.85*10^4 s and m=6.37*10^23 kg

 

[Orodruin]

I was told that since it's in a synchronous orbit the period of rotation will be the same as the planet, so all I know for sure so far is that T=8.85*10^4 s and m=6.37*10^23 kg

So how do you accomplish this. What is the relation between the radius and the period?

 

[Shelilla]

So how do you accomplish this. What is the relation between the radius and the period?

Velocity?