The Hess case in rigid-body dynamics |
| |
| Institution: | Izhevsk, Russia;Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow, Russia;St Petersburg, Russia;Lomonosov Moscow University, Moscow, Russia;Moscow, Russia;Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia;St Petersburg State University, St Petersburg State Polytechnical University, Institute for Problems in Mechanical Engineering of the Russian Academy of Science, St Petersburg, St Petersburg, Russia |
| |
| Abstract: | Generalizations of the Hess integral are presented for different forms of the equations of motions of rigid body. The general conditions for the existence of this integral, which is due to the presence of additional explicit symmetries of the equations of motion, are pointed out. Problems of reducing the order, of the explicit integration and the qualitative analysis of the motion of a rigid body subject to these conditions are considered. Analogues of Hess cases for a gyroscope in gimbals and the Chaplygin equations describing the fall of a rigid body in a fluid are indicated for the first time. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
