Stars and Galaxies (MindTap Course List)
Stars and Galaxies (MindTap Course List)
10th Edition
ISBN: 9781337399944
Author: Michael A. Seeds
Publisher: Cengage Learning
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Chapter 3, Problem 1P

Pretend the Moon’s orbit around Earth is a perfect circle. How long does it take in units of days for the Moon to move 90 degrees relative to the stars? Is this number dependent on the synodic period or the sidereal period?

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To find the acceleration from equation (a=v^2/r), the velocity of an object traveling in a circle is the distance traveled (i.e. the circumference, which is 2?r) divided by the travel time (i.e. the period T). The Moon’s sidereal period is 27.32 days. Convert this period into seconds. Complete Table 1 for the Moon to find its orbital period in seconds, its average velocity in meters per second and its acceleration in meters per second^2 where Orbital radius (m) = 3.84 x 10^8.
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