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Motion in a Central Field

maximal time
force exponent n
-1
force constant α
initialposition
initialvelocity
color by time
This demonstrates a planar trajectory in a central field represented by a potential of the form
V(r)=α
n
r
. 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, .
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