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Engineering and Tech / Vector Mechanics for Engineers: Dynamics 10 / Chapter 13 / Problem 13.87

Vector Mechanics for Engineers: Dynamics | 10th Edition | ISBN: 9780073398136 | Authors: Ferdinand P. Beer

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While describing a circular orbit 200 mi above the earth a

Chapter 13, Problem 13.87

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QUESTION:

While describing a circular orbit 200 mi above the earth a space vehicle launches a 6000-lb communications satellite. Determine (a) the additional energy required to place the satellite in a geosynchronous orbit at an altitude of 22,000 mi above the surface of the earth, (b) the energy required to place the satellite in the same orbit by launching it from the surface of the earth, excluding the energy needed to overcome air resistance. (A geosynchronous orbit is a circular orbit in which the satellite appears stationary with respect to the ground.)

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QUESTION:

While describing a circular orbit 200 mi above the earth a space vehicle launches a 6000-lb communications satellite. Determine (a) the additional energy required to place the satellite in a geosynchronous orbit at an altitude of 22,000 mi above the surface of the earth, (b) the energy required to place the satellite in the same orbit by launching it from the surface of the earth, excluding the energy needed to overcome air resistance. (A geosynchronous orbit is a circular orbit in which the satellite appears stationary with respect to the ground.)

ANSWER:

Step-by-step solution Step 1 of 11Radius of circular orbitWeight of communication satellite,

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