A spacecraft is in a circular orbit of radius 3Raround the moon. At point A, the

Chapter 3, Problem 3/284

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A spacecraft is in a circular orbit of radius 3R around the moon. At point A, the spacecraft ejects a probe which is designed to arrive at the surface of the moon at point B. Determine the necessary velocity \(v_{r}\) of the probe relative to the spacecraft just after ejection. Also calculate the position \(\theta\) of the spacecraft when the probe arrives at point B.

                                             

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