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Solved: A planet makes a circular orbit with period T

Chapter 13, Problem 8DQ

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QUESTION:

A planet makes a circular orbit with period T around a star. If the planet were to orbit at the same distance around this star, but had three times as much mass, what would the new period (in terms of T ) be: \(\text { (a) } 3 T \text {, (b) } T \sqrt{3} \text {, (c) } T \text {, (d) } T / \sqrt{3} \text {, or (e) } T / 3 \text { ? }\)

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QUESTION:

A planet makes a circular orbit with period T around a star. If the planet were to orbit at the same distance around this star, but had three times as much mass, what would the new period (in terms of T ) be: \(\text { (a) } 3 T \text {, (b) } T \sqrt{3} \text {, (c) } T \text {, (d) } T / \sqrt{3} \text {, or (e) } T / 3 \text { ? }\)

ANSWER:

Solution to 8DQ Step 1 Introduction The mass of the planet is increased 3 times of its original mass while keeping the orbital radius constant, we need to find the new time p

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