NEW CASE OF INTEGRABILITY IN DYNAMICS OF MULTI-DIMENSIONAL BODY | Zendy

N.V. Pokhodnya | Zendy; М. В. Шамолин | Zendy

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NEW CASE OF INTEGRABILITY IN DYNAMICS OF MULTI-DIMENSIONAL BODY

Author(s) -

N.V. Pokhodnya,

М. В. Шамолин

Publication year - 2012

Publication title -

vestnik of samara university natural science series

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.

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