Unformatted text preview: motion is given by . 2 2 2 / 3 2 π v r 3. When deriving Kepler’s laws from Newton’s Law of Gravitation, i.e., , 3 r r r A m= & & it was shown that ε r L r= =× ector constant v r A & and that the angular momentum vector given by r r L & × = m is also a constant vector. It was also shown the total energy of the system =⋅ r A m r r & & 2 1 constant = E. Show that 2 2 2 2 1 mA E L + = ε where . , L ε = = L...
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 Spring '10
 BLUMAN
 Mass, General Relativity, Kepler's laws of planetary motion, mr r

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