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A spacecraft in a circular orbit wishes to transfer to
Chapter 8, Problem 8.35(choose chapter or problem)
A spacecraft in a circular orbit wishes to transfer to another circular orbit of quarter the radius by means of a tangential thrust to move into an elliptical orbit and a second tangential thrust at the opposite end of the ellipse to move into the desired circular orbit. (The picture looks like Figure 8.13 but run backwards.) Find the thrust factors required and show that the speed in the final orbit is two times greater than the initial speed.
Questions & Answers
QUESTION:
A spacecraft in a circular orbit wishes to transfer to another circular orbit of quarter the radius by means of a tangential thrust to move into an elliptical orbit and a second tangential thrust at the opposite end of the ellipse to move into the desired circular orbit. (The picture looks like Figure 8.13 but run backwards.) Find the thrust factors required and show that the speed in the final orbit is two times greater than the initial speed.
ANSWER:Step 1 of 3
The simplest way to do this problem is to imagine Example 8.6 run backwards and to invert the thrust factors found there.