Unformatted text preview: (c) Discuss the path that the particle takes in its orbit, including a rough sketch. 3. Integrate directly the equation θ ( r ) = Z ( L/μr 2 ) dr r 2 μ ± EV ( r )L 2 2 μr 2 ² (4) to obtain the equation of motion r ( θ ) for the inversesquared attractive force ﬁeld. 4. A particle moves in an elliptical orbit in an inversesquare law central force ﬁeld. If the ratio of the maximum angular velocity to the minimum angular velocity of the particle in its orbit is n , then show that the eccentricity of the orbit is ± = √ n1 √ n + 1 . (5) 1...
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 Spring '10
 RogerMelko
 Force, Mass, Elliptic orbit, Central force field

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