0
2013
Impact Factor

# Lucas Rezende Valeriano

Departamento de Matemática, Universidade Federal de Sergipe

## Publications:

 Valeriano L. Parametric Stability in Robe’s Problem 2016, vol. 21, no. 1, pp.  126-135 Abstract 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 DOI:10.1134/S156035471601007X