Modeling the Frictional Driving of a Gyroscope Casing by a Spinning Rotor

TL;DR

This paper investigates how frictional effects influence the rotation of a gyroscope's casing and rotor, analyzing various friction models to improve understanding of satellite rotation dynamics.

Contribution

It introduces and compares multiple friction models affecting gyroscope rotation, highlighting areas needing further refinement for accurate satellite motion prediction.

Findings

Some models accurately describe primary motion

Friction at touchpoints significantly affects rotation

Further study needed for precise modeling

Abstract

The rotation of the casing and rotor of a gyroscope is studied by considering frictional effects. Friction causes the casing to rotate, and over time, air dissipation and friction at the touchpoint gradually stop this rotation. Several models for air friction, friction between the rotor and casing, and friction at the touchpoint are analyzed. Fit results demonstrate that while some of these models can describe the primary motion, certain effects require further study to yield more precise results. These findings can aid in developing improved models for the rotation of satellites.