A satellite is launched to orbit the Earth at an altitude of 3.55 107 m for...
A satellite is launched to orbit the Earth at an altitude of 3.55 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 1024 kg and its radius 6.38 106 m.
(a) What is the orbital period, in hours, of this GPS satellite?
(b) With what speed, in m/s, does it orbit the Earth?
Homework Answers
PART A:
The centripetal force for the satellite is provided by the gravitational force. i.e
The period of the orbital motion is therefore
Putting in the values in the SI units
PART B:
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