routh reduction
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2020 ◽  
Vol 12 (2) ◽  
pp. 309-321
Author(s):  
Leonardo J. Colombo ◽  
◽  
María Emma Eyrea Irazú ◽  
Eduardo García-Toraño Andrés ◽  
◽  
...  

Author(s):  
Ivan Polekhin

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.


2019 ◽  
Vol 11 (1) ◽  
pp. 23-44
Author(s):  
Katarzyna Grabowska ◽  
◽  
Paweƚ Urbański
Keyword(s):  

2018 ◽  
Vol 109 (6) ◽  
pp. 1343-1376
Author(s):  
Santiago Capriotti ◽  
Eduardo García-Toraño Andrés

2012 ◽  
Vol 53 (6) ◽  
pp. 062902 ◽  
Author(s):  
B. Langerock ◽  
E. García-Toraño Andrés ◽  
F. Cantrijn

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