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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
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 mechanics

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