Calculate the period of a satellite orbiting the Moon, 95 km above the Moon’s surface. Ignore effects of the Earth. The radius of the Moon is 1740 km.
The period of a satellite orbiting the Moon.
Answer to Problem 48P
Solution:
Explanation of Solution
Given:
The height of the satellite from the Moon,
The radius of the Moon,
Formula Used:
From Kepler’s third law of planetary motion:
Where,
Calculation:
According to the Kepler’s law of planetary motion, the relation between the time periodTand the mean radius of the orbit of the satellite is given by
Substituting all the values, we get
Conclusion:
Therefore, the period of a satellite orbiting the Moon is
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