Satellite Orbit Period Change if Earth Mass Multiplied by 4

AI Thread Summary
If Earth's mass is multiplied by four while keeping the radius of a satellite's orbit constant, the period of the satellite will change due to gravitational effects. According to Newton's Law of Gravity, the gravitational force increases with mass, affecting the orbital period. The satellite's orbital period would increase, resulting in a longer duration for each orbit. The correct answer to the problem is that the period would be 2 times as long. Understanding these gravitational principles is crucial for solving such orbital mechanics problems.
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Homework Statement



If you suddenly multiplied the mass of Earth by a factor of 4, how would the period of a satellite change, if the radius of its orbit did not change?

4 times as long

1/4 as long

2 times as long

1/2 as long

Unchanged


Homework Equations





The Attempt at a Solution



I am not sure what equation to use...
 
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Use Newtons Law of Gravity.
 

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