242_Dynamics 11ed Manual

242_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 13 Problem 13-126 The rocket is traveling in a free-flight elliptical orbit about the earth such that the eccentricity is e and its perigee is a distanced d as shown. Determine its speed when it is at point B . Also determine the sudden decrease in speed the rocket must experience at A in order to travel in a circular orbit about the earth. Given: e 0.76 = d 91 0 6 × m = G 6.673 10 11 × N m 2 kg 2 = M e 5.976 10 24 kg × = Solution: Central - Force motion: C 1 r 0 1 GM e r 0 v 0 2 = hr 0 v 0 = e ch 2 e = r 0 v 0 2 e 1 = 1 1 e + e r 0 v 0 2 = v 0 1 e + () e
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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