scholarly journals New solvable problems in the dynamics of a rigid body about a fixed point in a potential field

2014 ◽  
Vol 57 ◽  
pp. 44-48 ◽  
Author(s):  
Hamad M. Yehia
Keyword(s):  
Fixed Point ◽  
Rigid Body ◽  
Potential Field ◽  
Solvable Problems

Chaos in a restricted problem of rotation of a rigid body with a fixed point

2008 ◽  
Vol 13 (3) ◽  
pp. 221-233 ◽  
Author(s):  
A. V. Borisov ◽  
A. A. Kilin ◽  
I. S. Mamaev
Keyword(s):  
Fixed Point ◽  
Rigid Body ◽  
Restricted Problem

Remarks on the Covering of the Possible Motion Area by Solutions in Rigid Body Systems

2019 ◽  
Vol 20 (3-4) ◽  
pp. 293-302
Author(s):  
Ivan Polekhin
Keyword(s):  
Fixed Point ◽  
Rigid Body ◽  
Integrable Case ◽  
Analytical Results ◽  
Routh Reduction ◽  
Gyroscopic Forces ◽  
Kovalevskaya Case

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.

scholarly journals On the dynamics of the rigid body with a fixed point: periodic orbits and integrability

2013 ◽  
Vol 74 (1-2) ◽  
pp. 327-333 ◽  
Author(s):  
Juan L. G. Guirao ◽  
Jaume Llibre ◽  
Juan A. Vera
Keyword(s):  
Fixed Point ◽  
Rigid Body ◽  
Periodic Orbits

scholarly journals On the dynamics of the four‐dimensional rigid body in a quadratic potential field

1995 ◽  
Vol 36 (10) ◽  
pp. 5760-5788
Author(s):  
Angel Zhivkov ◽  
Milena Stanislavova
Keyword(s):  
Rigid Body ◽  
Potential Field ◽  
Quadratic Potential

Rotations of a Rigid Body About a Fixed Point

1945 ◽  
Vol 13 (3) ◽  
pp. 137-140 ◽  
Author(s):  
E. L. Hill
Keyword(s):  
Fixed Point ◽  
Rigid Body
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