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Unformatted text preview: (a) Make a 3D Mathematica plot (Plot3D) of the effective gravitational potential of the two bodies in the rotating reference frame in which the bodies are stationary. Take m 1 = 2 m 2 . Neglect the Coriolis term. (b) Show either explicitly or by blowing up your plot - that Goldsteins claim that the L4 and L5 points in Fig. 3.30 are local minima of the effective gravitational potential is wrong. Plot a trajectory with a small value of l . (c) In light of problem 3, is it possible that the Coriolis term makes a difference, and stabilizes L4 and L5? Explain. L = 1 2 m ( x 2 + y 2 ) + 1 2 eB ( x y y x ) + 1 2 m 2 ( x 2 + y 2 ) 5. Derivation 4.10. Exponentiate the matrix...
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- Fall '08