Prove that in a Kepler elliptic orbit with small eccentricity e the ungular motion of a particle as viewed from the cmpry focus of the ellipse is uniform (the cmpty focus is the focus that is aot the center of attraction) to first order in e. It is this theorem thit crables the Ptolemaic picture of plarctary motion to be a reasonably accurate approximation. On this picture the Sun is resumed to move uniformly on a circle taken as the distance between the two foci of the connect elliptical catur,
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