On the Motion of a Point Particle on a Homogeneous Gravitating Ball with a Spherical Inclusion
Year: 2024
Type: article
Abstract: A problem of motion of a point particle on a surface of a homogeneous gravitating ball with a spherical inclusion of a differing density is considered. It is assumed that the body rotates uniformly around its symmetry axis. It is supposed that "besides the gravitation force, the particle is subjected to dry friction. The gravitational properties outside the ball are described. The dependence of existence, bifurcations, and stability of relative equilibria of the point particle on the body surface on the parameters of the problem is studied. The results are represented both analytically and as numerically obtained bifurcation diagrams.
Source: Прикладная математика и механика
Authors: A. A. Burov, V. I. Nikonov, E. S. Shalimova
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4404339098