Lucas Rezende Valeriano

Departamento de Matemática, Universidade Federal de Sergipe


Pérez-Rothen Y., Valeriano L., Vidal C.
We consider the planar charged restricted elliptic three-body problem (CHRETBP). In this work we consider the parametric stability of the isosceles triangle equilibrium solution denoted by $L_4^{iso}$. We construct the boundary surfaces of the stability/instability regions in the space of the parameters $\mu$, $\beta$ and $e$, which are parameters of the mass, charges associated to the primaries and the eccentricity of the elliptic orbit, respectively.
Keywords: charged problem, restricted three-body problem, parametric stability
Citation: Pérez-Rothen Y., Valeriano L., Vidal C.,  On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem, Regular and Chaotic Dynamics, 2022, vol. 27, no. 1, pp. 98-121
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

Back to the list