Open AccessNEW CASE OF INTEGRABILITY IN DYNAMICS OF MULTI-DIMENSIONAL BODY
Author(s) -
N.V. Pokhodnya,
М. В. Шамолин
Publication year - 2012
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2012-18-9-136-150
Subject(s) - classical mechanics , dynamics (music) , rigid body , motion (physics) , physics , constant (computer programming) , symmetry (geometry) , type (biology) , tracing , point (geometry) , rigid body dynamics , mechanics , mathematics , geometry , computer science , ecology , biology , programming language , operating system , acoustics
In this chapter the new results are systematized on study of the equations of motion of dynamically symmetrical four-dimensional (4D—) rigid body which residing in a certain nonconservative field of forces in case of special dynamical symmetry. Its type is unoriginal from dynamics of the real smaller-dimensional rigid bodies of interacting with a resisting medium on the laws of a jet flow, under which the nonconservative tracing force acts onto the body and forces both the value of velocity of a certain typical point of the rigid body and the certain phase variable to remain as constant in all time, that means the presence in system nonintegrable servo-constraints.