## The Non-forced Spherical Pendulum: Semi-numerical Solutions

**Authors:** Richard J. Mathar

Classical mechanics models the PLANE pendulum as a point mass fastened
to a pole by a cord of fixed length. The mass is released at some distance
from the pole. It moves along a section of a circle; the circle lies in a plane
defined by the pole, the initial place, and the direction of the
gravitational force.
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. The instantaneous
plane of motion of the mass is no longer constant.

**Comments:** 11 Pages.

**Download:** **PDF**

### Submission history

[v1] 2019-09-09 15:04:08

**Unique-IP document downloads:** 12 times

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