Motion in a Central Field

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This demonstrates a planar trajectory in a central field represented by a potential of the form . Motion in a central field is one of the classical problems of classical mechanics. Many interesting phenomena are exhibited by the motion of a small mass in a central field, like Bertrand's theorem, the fall into the center for strongly singular potentials, ….
Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA
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"Motion in a Central Field"
http://demonstrations.wolfram.com/MotionInACentralField/
Wolfram Demonstrations Project
Published: March 7 2011