Authors: Richard J. Mathar
This manuscript deals with semi-numerical solutions of the equations of motion of the spherical pendulum. This pendulum has some azimuthal velocity and non-vanishing angular momentum. The cord restricts the motion to the surface of a sphere. We derive the system of coupled differential equations for the radial and azimuthal angles from the Lagrangian, solve them in terms of Elliptic Integrals, and provide a C++ program to print trajectories as a function of time utilizing the GNU scientific library.
Comments: 24 Pages. Version 2 contains an explicit C++ source code to compute the trajectories.
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[v1] 2019-09-09 15:04:08
[v2] 2022-06-16 13:50:34
Unique-IP document downloads: 172 times
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