A 500-kg spacecraft first is placed into a circular orbit about the earth at an altitude of 4500 km and then is transferred to a circular orbit about the moon. Knowing that the mass of the moon mass of the earth and that the radius of the moon is 1737 km, determine (a) the gravitational force exerted on the spacecraft as it was orbiting the earth, (b) the required radius of the orbit of the spacecraft about the moon if the periodic times (the periodic tīme of a satellite is the time it requires to complete one full revolution about the planet) of the two orbits are to be equal, (c) the acceleration of gravity at the surface of the moon. is 0.01230 times the

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 500-kg spacecraft first is placed into a circular orbit about the earth
at an altitude of 4500 km and then is transferred to a circular orbit
about the moon. Knowing that the mass of the moon is 0.01230 times the
mass of the earth and that the radius of the moon is 1737 km, determine
(a) the gravitational force exerted on the spacecraft as it was orbiting
the earth, (b) the required radius of the orbit of the spacecraft about
the moon if the periodic times (the periodic time of a satellite is the
time it requires to complete one full revolution about the planet) of the
two orbits are to be equal, (c) the acceleration of gravity at the surface
of the moon.
Transcribed Image Text:A 500-kg spacecraft first is placed into a circular orbit about the earth at an altitude of 4500 km and then is transferred to a circular orbit about the moon. Knowing that the mass of the moon is 0.01230 times the mass of the earth and that the radius of the moon is 1737 km, determine (a) the gravitational force exerted on the spacecraft as it was orbiting the earth, (b) the required radius of the orbit of the spacecraft about the moon if the periodic times (the periodic time of a satellite is the time it requires to complete one full revolution about the planet) of the two orbits are to be equal, (c) the acceleration of gravity at the surface of the moon.
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