The optimal way of transferring a space vehicle from an inner circular orbit to an outer coplanar

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The optimal way of transferring a space vehicle from an inner circular orbit to an outer coplanar orbit is to fire its engines as it passes through A to increase its speed and place it in an elliptic transfer orbit. Another increase in speed as it passes through B will place it in the desired circular orbit. For a vehicle in a circular orbit about the earth at an altitude h1 = 320 km, which is to be transferred to a circular orbit at an altitude h2 = 800 km, determine

(a) The required increase in speed at A and B,

(b) The total energy per unit mass required to execute the transfer.

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Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

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