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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 E-V ( r )-L 2 2 r 2 (4) to obtain the equation of motion r ( ) for the inverse-squared attractive force eld. 4. A particle moves in an elliptical orbit in an inverse-square 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 = n-1 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