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Lucas Rezende Valeriano

Departamento de Matemática, Universidade Federal de Sergipe


Valeriano L.
Parametric Stability in Robe’s Problem
2016, vol. 21, no. 1, pp.  126-135
In this work we have given a Hamiltonian formulation to Robe’s problem, obtaining again the classic results. We have computed the resonances existing in the circular case and obtained some information with regard to the linear stability of the central equilibrium of Robe’s problem in the elliptic case. In some critical cases we have constructed, in the parameter plane, the boundary curves that separate the regions of stability and instability.
Keywords: Robe’s problem, restricted three-body problem, parametric stability
Citation: Valeriano L.,  Parametric Stability in Robe’s Problem, Regular and Chaotic Dynamics, 2016, vol. 21, no. 1, pp. 126-135

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