A satellite of mass ms is in an elliptical orbit around a planet of mass mp which is
located at one focus of the ellipse. The satellite has a velocity va at the distance ra when
it is furthest from the planet.
a) What is the magnitude of the velocity vp of the satellite when it is closest to the
planet? Express your answer in terms of m , m , G , v , and r as needed. s p a a
b) What is the distance of nearest approach r
p ?
c) If the satellite were in a circular orbit of radius r0 = r
p , is it’s velocity v0 greater
than, equal to, or less than the velocity vp of the original elliptic orbit? Justify
your answer.
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