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 earth has an orbit with eccentricity e = 0.0821 around the sun. Knowing that the earth’s minimum distance from the sun is 151.3(106) km, find the speed at which the earth travels when it is at this distance. Determine the equation in polar coordinates which describes the earth’s orbit about the sun.
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