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Newton´s satellite problem

by iluvphys
Tags: newton´s, satellite
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iluvphys
#1
Oct29-08, 11:35 AM
P: 27
Hello friends, I have a question considering newton in circular motion.

1. The problem statement, all variables and given/known data
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.

2. Relevant equations

F = mv^2/L

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



3. 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 dont 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 couldnt I?
Please help and thanks in advance.
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Redbelly98
#2
Oct30-08, 10:31 PM
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P: 12,068
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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