I need the answer as soon as possible (2. A particle moves in a central force field given by the potential- arV = -k%3Dwhere k and a are positive constants. Using the method of the equivalent one-dimensionalpotential discuss the nature of the motion, stating the ranges of l and E appropriate to eachtype of motion. When are circular orbits possible? Find the period of small radialoscillations about the circular motion.

particle moves in a central force field given by the potential ar V = -k- re k and a are positive constants. Using the method of the equiva ntial discuss the nature of the motion, stating the ranges of l and agible 9 Fin d the

particle moves in a central force field given by the potential ar V = -k- re k and a are positive constants. Using the method of the equiva ntial discuss the nature of the motion, stating the ranges of l and agible 9 Fin d the

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.33P

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Question

I need the answer as soon as possible

(2. A particle moves in a central force field given by the potential
- ar
V = -k
%3D
where k and a are positive constants. Using the method of the equivalent one-dimensional
potential discuss the nature of the motion, stating the ranges of l and E appropriate to each
type of motion. When are circular orbits possible? Find the period of small radial
oscillations about the circular motion.

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