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

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SUMMARY

The net force acting on each satellite in a circular orbit around a space station can be calculated using the formula F = mv²/L, where m is the mass of the satellite and L is the radius of the orbit. To determine the velocity (v), it is essential to relate it to the orbital period (T) using the equation v = 2πL/T. Given that all satellites complete their orbits in the same time, T can be assumed to be constant for all satellites. The mass of the space station does not directly affect the net force calculation for the satellites in this scenario.

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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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