Satellite (Gravitation) Question

AI Thread Summary
To determine the orbital radius of a satellite with a period of 5760 seconds, one can use the formulas for circular motion and gravitational force. The relevant equations involve the orbital period and the gravitational constant, allowing for the calculation of both orbital radius and velocity. The assumption is made that the orbit is circular, simplifying the calculations. By setting up the equations, both the radius and velocity can be solved simultaneously. This approach provides a method to find the orbital radius without needing additional information.
Destrio
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A satellite has a orbital period of 5760s around earth. What is the orbital radius?

I'm not sure how I can do this without the velocity or acceleration.

Thanks,
 
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Is no other information provided in the question?
 
no other information,
however, part of the question might have been cut off
 
EDIt: Never mind...
 
Last edited:
Destrio said:
A satellite has a orbital period of 5760s around earth. What is the orbital radius?

I'm not sure how I can do this without the velocity or acceleration.

Thanks,
I assume they mean that the orbit is circular.

Then simply use
P = { 2 \pi R \over v}

and m { v^2 \over R} = G { m M \over R^2}
where M is the mass of the Earth and m is the mass of the satellite. Then you have two equations for two unknowns: R and v. Which you can then solve.

Patrick
 
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