Review of Cases of Integrability in Dynamics of Lower- and Multidimensional Rigid Body in a Nonconservative Field of Forces

Author: Maxim V. Shamolin

Abstract: Study of the dynamics of a multidimensional solid depends on the force-field structure. As reference results, we consider the equations of motion of low-dimensional solids in the field of a medium-drag force. Then it becomes possible to generalize the dynamic part of equations to the case of the motion of a solid, which is multidimensional in a similarly constructed force field, and to obtain the full list of transcendental first integrals. The obtained results are of importance in the sense that there is a nonconservative moment in the system, whereas it is the potential force field that was used previously.

Pages: 42-58

DOI: 10.46300/9102.2022.16.8

International Journal of Mathematics and Computers in Simulation, E-ISSN: 1998-0159, Volume 16, 2022, Art. #8