A 500-kg spacecraft first is placed into a circular orbit about the earth at an altitude of 6,300 km and then is transferred to a circular orbit about the moon. The mass of the moon is 0.01230 times the mass of the earth and the radius of the moon is 1,737 km. Determine the required radius of the orbit of the spacecraft about the moon if the periodic times of the two orbits are to be equal. The required radius of the orbit of the spacecraft about the moon is 5890 km.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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A 500-kg spacecraft first is placed into a circular orbit about the earth at an altitude of 6,300 km and then is transferred to
a circular orbit about the moon. The mass of the moon is 0.01230 times the mass of the earth and the radius of the moon
is 1,737 km.
Determine the required radius of the orbit of the spacecraft about the moon if the periodic times of the two orbits are to be equal.
The required radius of the orbit of the spacecraft about the moon is
5890 km.
Transcribed Image Text:A 500-kg spacecraft first is placed into a circular orbit about the earth at an altitude of 6,300 km and then is transferred to a circular orbit about the moon. The mass of the moon is 0.01230 times the mass of the earth and the radius of the moon is 1,737 km. Determine the required radius of the orbit of the spacecraft about the moon if the periodic times of the two orbits are to be equal. The required radius of the orbit of the spacecraft about the moon is 5890 km.
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