Problem

In the following problems, except where otherwise indicated, assume that the radius of the...

In the following problems, except where otherwise indicated, assume that the radius of the earth is 6378 km, the earth's mass is 5.976(1024) kg, the mass of the sun is 1.99(1030) kg, and the gravitational constant is G = 66.73(10−12)m3/(kg • s2).

A probe has a circular orbit around a planet of radius R and mass M. If the radius of the orbit is nR and the explorer is traveling with a constant speed v0, determine the angle θ at which it lands on the surface of the planet B when its speed is reduced to kv0, where k 1 at point A.