Wolfram Demonstrations Project

A mass

moves according to the nonrelativistic Newtonian motion equation

with

in the central attractive Gaussian potential

. The angular momentum is time independent and the motion occurs in the

plane. The depth of the potential at

(joule) and the spatial range

(meter). The Demonstration computes

and

. The four integration constants are

. The parametric plot of

and

depends on eight parameters.

Contributed by: Franz Krafft

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Motion in a Gaussian Potential