The Solar System
The Solar System
10th Edition
ISBN: 9781337672252
Author: The Solar System
Publisher: Cengage
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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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What would be the duration of the year if the distance between the earth and the sun gets tripled.
The earth revolves around the sun in exactly 365 1/4 days which is equivalent to 1 year. To make up for the loss of 1/4 day, the calendar was adjusted so that we have a leap year for every 4 years. If the earth were to speed in its motion slightly so that a year would be completed in exactly 365 days and 6 hours, how often would we need to have a leap year?
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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