Answer
The period depends on $~~r^{3/2}$
Work Step by Step
We can write a general expression for the period:
$T^2 = \frac{4\pi^2}{GM}~r^3$
$T = \sqrt{\frac{4\pi^2}{GM}}~r^{3/2}$
The period depends on $~~r^{3/2}$
Fundamentals of Physics Extended (10th Edition)
by Halliday, David; Resnick, Robert; Walker, Jearl
Published by
Wiley
ISBN 10:
1-11823-072-8
ISBN 13:
978-1-11823-072-5
Chapter 13 - Gravitation - Problems - Page 383: 65a
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