A space vehicle approaching a planet has a speed v when it is very far...

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A space vehicle approaching a planet has a speed v when it is very far from the planet At that moment tangent of its trajectory would miss the centre of the planet by distance R If the planet has mass M and radius r what is the smallest value of R in order that the resulting orbit of the space vehicle will just miss the surface of the planet 1 v 3 R 10 2GM 2 r r 22GM 2GM r 2 Vr 1 4 R 2GMv

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