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).
The elliptical orbit of a satellite orbiting the earth has an eccentricity of e = 0.45. If the satellite has an altitude of 6 Mm at perigee, determine the velocity of the satellite at apogee and the period.
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