A rocket is in free-flight elliptical orbit around the planet Venus. Knowing that the periapsis and apoapsis

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A rocket is in free-flight elliptical orbit around the planet Venus. Knowing that the periapsis and apoapsis of the orbit are rp and ap, respectively, determine

(a) The speed of the rocket at point A',

(b) The required speed it must attain at A just after braking so that it undergoes a free-flight circular orbit around Venus,

(c) The periods of both the circular and elliptical orbits. The mass of Venus is a times the mass of the earth.

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