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Unformatted text preview: (c) Discuss the path that the particle takes in its orbit, including a rough sketch. 3. Integrate directly the equation ( r ) = Z ( L/r 2 ) dr r 2 EV ( r )L 2 2 r 2 (4) to obtain the equation of motion r ( ) for the inversesquared attractive force eld. 4. A particle moves in an elliptical orbit in an inversesquare law central force eld. 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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This note was uploaded on 09/20/2010 for the course AMATH 261 taught by Professor Rogermelko during the Spring '10 term at Waterloo.
 Spring '10
 RogerMelko

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