Abstract
This study presents a method of obtaining asymptotic approximations for motions near a Lagrange point in the planar, elliptic, restricted three-body problem by using a von Zeipel-type method. The calculations are carried out for a second-order escape solution in the proximity of the equilateral Lagrange point, L 4, where the primaries' orbital eccentricity is taken as the small parameter ɛ.
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Şelaru, D., Cucu-Dumitrescu, C. Infinitesimal orbits around lagrange points in the elliptic, restricted three-body problem. Celestial Mech Dyn Astr 61, 333–346 (1995). https://doi.org/10.1007/BF00049514
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DOI: https://doi.org/10.1007/BF00049514