B. 185 mi R = 3960 mi 22,230 mi 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 geosyn- chronous 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.)

B. 185 mi R = 3960 mi 22,230 mi 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 geosyn- chronous 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.)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.14P

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Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

While describing a circular orbit, 185 mi above the surface of the earth, a space shuttle ejects at point A an inertial upper stage (IUS) carrying a communications satellite to be placed in a geosynchronous orbit (see Prob. 13.87) at an altitude of 22,230 mi above the surface of the earth. Determine (a) the velocity of the IUS relative to the shuttle after its engine has been fired at A,( b) the increase in velocity required at B to place the satellite in its final orbit.
Reference to Problem 13.87:

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 geosyn-
chronous 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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