At the instant represented in the fi gure, a smallexperimental satellite A is ejected

Chapter 3, Problem 3/298

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At the instant represented in the figure, a small experimental satellite A is ejected from the shuttle orbiter with a velocity \(v_{r}=100\) m /s relative to the shuttle, directed toward the center of the earth. The shuttle is in a circular orbit of altitude h = 200 km. For the resulting elliptical orbit of the satellite, determine the semimajor axis a and its orientation, the period \(\tau\), eccentricity e, apogee speed \(v_{a}\), perigee speed \(v_{p}, r_{\max }\), and \(r_{\min }\). Sketch the satellite orbit.

                                     

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