Remarks on the Covering of the Possible Motion Area by Solutions in Rigid Body Systems
2019 ◽
Vol 20
(3-4)
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pp. 293-302
Keyword(s):
AbstractThe problem of motion of a rigid body with a fixed point is considered. We study qualitatively the solutions of the system after Routh reduction. For the Lagrange integrable case, we show that the trajectories of solutions starting at the boundary of a possible motion area can both cover and not cover the entire possible motion area. It distinguishes these systems from the systems without gyroscopic forces, where the trajectories always cover the possible motion area. We also present some numerical and analytical results on the same matter for the Kovalevskaya case.
Keyword(s):
1992 ◽
Vol 193
(2)
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pp. 309-315
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1986 ◽
Vol 50
(4)
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pp. 522-525
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2002 ◽
Vol 66
(3)
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pp. 401-408
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2008 ◽
Vol 13
(3)
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pp. 221-233
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