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A satellite is in Earth's orbit, altitude of 2.5rE from Earth's surface. How long does it...

A satellite is in Earth's orbit, altitude of 2.5rE from Earth's surface. How long does it take for the satellite to orbit once around the Earth in seconds?

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Answer #1

Time takes for the satellite to orbit once around the Earth is

where r is the distance of the satellite from the earth, G is the gravitational constant, and M is the mass of the earth.

Also the gravitational acceleration

and

So

Given (R is the radius of the earth. R= 6371 km)

Thus,

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