p0336 - 3.36. CHAPTER 3, PROBLEM 36 255 3.36 Chapter 3,...

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Unformatted text preview: 3.36. CHAPTER 3, PROBLEM 36 255 3.36 Chapter 3, Problem 36 Problem: A space probe is in a circular orbit about Mars, whose radius is R . The radius of the orbit is r i = R , where > 1 is a constant. In order to land on the planet, the probe briefly fires its retrorocket. As a result, the probes speed is reduced to v i , where v i is its speed before firing the rocket and < 1 is a constant. Assuming the probe moves on the elliptical orbit shown, determine the value of as a function of . v i r i R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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