2002/04/04 by A. V. Borisov, А. В. Борисов, Borisov, A. V. +3
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Control and Dynamics of Mobile Robots #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0204005
15 pages
arxiv created 2002/04/04 · openalex publication_date 2002/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present a generalization of the Goraychev--Chaplygin integrable case on a bundle of Poisson brackets, and on Sokolov terms in his new integrable case of Kirchhoff equations. We also present a new analogous integrable case for the quaternion form of rigid body dynamics' equations. This form of equations is recently developed and we can use it for the description of rigid body motions in specific force fields, and for the study of different problems of quantum mechanics. In addition we present new invariant relations in the considered problems.