How Do You Calculate the Net Force on a Satellite in Circular Orbit?

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To calculate the net force on a satellite in circular orbit, the relevant equation is F = mv²/L, where m is the mass of the satellite and L is the radius of orbit. The velocity v can be expressed as v = 2πL/T, but the period T is unknown. It is assumed that all satellites have the same orbital period due to their synchronized orbits. The mass of the space station may also influence the gravitational force but is not directly addressed in the initial calculation. Understanding these relationships is crucial for solving the problem effectively.
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Hello friends, I have a question considering Newton in circular motion.

Homework Statement


Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L.
What is the net force of every single satellite?

e.g. - S1: m= 300kg L= 7500m

If I know how to work one of them out I can do the rest.

Homework Equations



F = mv^2/L

I know m, know L but have to figure out v.



The Attempt at a Solution


Well, I started writing down the equation for motion in a circle and got Fnet=mv^2/L.
I was hoping I could replace v with 2*pi*L/T.
However I don't know T. I am assuming that since the time taken for the round trips is the same for every satellite, I could assume T being 1 couldn't I?
Please help and thanks in advance.
 
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How about the equation for the force of gravity between two masses?

Also, what about the mass of the space station?
 

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