Finding ortibal period and orbital speed PLEASE HELP

AI Thread Summary
To find the orbital period and speed of GPS satellites at an altitude of 2.6×10^7 meters, one must consider the gravitational force and centrifugal force balance. The orbital period can be calculated using the formula that relates it to the radius from the Earth's center, which includes the Earth's radius plus the altitude. The orbital speed can be derived from the period and the radius of the orbit. It's crucial to use the mass of the Earth and the correct radius in calculations. Understanding these principles will lead to the correct answers for both the orbital period and speed.
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Homework Statement


GPS (Global Positioning System) satellites orbit at an altitude of 2.6×107 .
Find the orbital period.
Find the orbital speed of such a satellite.


Homework Equations


I would like to know how to approach this. I don't know where to start w/o other figures.


The Attempt at a Solution


I went through a long, convoluted process and determined 2.8*10^29, which is entirely wrong. Please help!
Thank you in advance!
 
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