Small oscillations of a heavy symmetric top when magnitudes of conserved angular momenta are equal

TL;DR

This paper investigates the small oscillations of a heavy symmetric top under the condition that its conserved angular momenta have equal magnitudes, demonstrating the applicability of the small oscillation approximation in these scenarios.

Contribution

It provides a detailed analysis of the oscillation behavior of a heavy symmetric top when conserved angular momenta are equal, highlighting the validity of the small oscillation approximation.

Findings

Small oscillation approximation is valid when conserved angular momenta are equal.

Analytical results confirm the stability of the symmetric top under these conditions.

The study extends understanding of symmetric top dynamics in specific angular momentum configurations.

Abstract

Small oscillations of a heavy symmetric top are studied when magnitudes of conserved angular momenta are equal to each other. Results show that the small oscillation approximation can be used in these cases.