On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem

    2022, Volume 27, Number 1, pp.  98-121

    Author(s): 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, Volume 27, Number 1, pp. 98-121



    Access to the full text on the Springer website