Circular orbits of a ball on a rotating conical turntable
Classical Physics
2019-05-22 v2
Abstract
This paper is concerned with the study of the rolling without slipping of a dynamically symmetric (in particular, homogeneous) heavy ball on a cone which rotates uniformly about its symmetry axis. The equations of motion of the system are obtained, partial periodic solutions are found and their stability is analyzed.
Keywords
Cite
@article{arxiv.1812.02739,
title = {Circular orbits of a ball on a rotating conical turntable},
author = {Alexey V. Borisov and Tatiana B. Ivanova and Alexander A. Kilin and Ivan S. Mamaev},
journal= {arXiv preprint arXiv:1812.02739},
year = {2019}
}