Exact solution of a triaxial gyrostat with one rotor

@article{Elipe2008ExactSO,
  title={Exact solution of a triaxial gyrostat with one rotor},
  author={Antonio Elipe and V{\'i}ctor Lanchares},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={2008},
  volume={101},
  pages={49-68}
}
The problem of the attitude dynamics of a triaxial gyrostat under no external torques and one constant internal rotor, is a three degrees-of-freedom system, although thanks to the existence of integrals of motion it can be reduced to only one degree-of-freedom problem. We introduce coordinates to represent the orbits of constant angular momentum as a flow on a sphere. This representation shows that the problem is equivalent to a quadratic Hamiltonian depending on two parameters. We find the… 
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