Question

Two satellites are in circular orbits around the Earth. Satellite A is at an altitude equal to the Earth's radius, while satellite B is at an altitude equal to three times the Earth's radius. What is the ratio of their periods, TB/TA?

Answer 1

¹/2

Explanation:

If the assign the radius of the earth is x. Then the radius of the period of satellite A, from the center of the earth is;

x + x = 2x  

The radius, from the center of earth, of satellite B, is;

x + 3x = 4x  

We find the periods of the two satellites;

A

2πr

= 2 *π * 2x

B

= 2 * π * 4x

Ratio;

2π2x/2π4x

= ½

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