NEW CASE OF INTEGRABILITY IN DYNAMICS OF MULTI-DIMENSIONAL BODY
- Authors: Pokhodnya N.1, Shamolin M.2
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Affiliations:
- Moscow Pedagogical State University
- Moscow State University
- Issue: Vol 18, No 9 (2012)
- Pages: 136-150
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4792
- DOI: https://doi.org/10.18287/2541-7525-2012-18-9-136-150
- ID: 4792
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Abstract
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.
About the authors
N.V. Pokhodnya
Moscow Pedagogical State University
Author for correspondence.
Email: morenov.sv@ssau.ru
M.V. Shamolin
Moscow State University
Email: morenov.sv@ssau.ru