Lucas Rezende Valeriano
Departamento de Matemática, Universidade Federal de Sergipe
Publications:
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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
2022, vol. 27, no. 1, pp. 98-121
Abstract
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.
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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.
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