Open AccessReview of Cases of Integrability in Dynamics of Lower- and Multidimensional Rigid Body in a Nonconservative Field of Forces
Author(s) -
М. В. Шамолин
Publication year - 2022
Publication title -
international journal of mathematics and computers in simulation
Language(s) - English
Resource type - Journals
ISSN - 1998-0159
DOI - 10.46300/9102.2022.16.8
Subject(s) - dynamics (music) , field (mathematics) , classical mechanics , force field (fiction) , drag , motion (physics) , rigid body dynamics , equations of motion , moment (physics) , rigid body , body force , mathematics , solid body , physics , mechanics , quantum mechanics , acoustics , pure mathematics
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.