15-113. An earth satellite of mass 700 kg is launched into

Chapter 15, Problem 15-113

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15-113. An earth satellite of mass 700 kg is launched into a free-flight trajectory about the earth with an initial speed of vA = lOkm/s when the distance from the center of the earth is rA = 15 Mm. If the launch angle at this position is A 70, determine the speed vR of the satellite and its closest distance rH from the center of the earth. The earth has a mass Me = 5.976(1024) kg. Hint: Under these conditions, the satellite is subjected only to the earth's gravitational force, F = GM/n Jr, Eq. 13-1. For part of the solution, use the conservation of energy.

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