Stability regions around L4 in the elliptic restricted problem

Computer Science – Numerical Analysis

Scientific paper

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Elliptical Orbits, Lagrangian Equilibrium Points, Numerical Analysis, Stability, Three Body Problem, Eccentricity, Mass Ratios, Orbital Resonances (Celestial Mechanics)

Scientific paper

In connection with the stability study of the Lagrngian triangular points we analyzed the extension of the stable regions around these equilibrium points. Recently, we presented the numerical results of the stability zones around L4 and L5 for the circular restricted three-body problem (Dvorak & Lohinger 1991). For this study we extended our computations to the elliptic case and determined the stable regions depending on two parameters, the mass ratio mu and the orbital eccentricity of the primaries.

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