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Infinitesimal orbits around lagrange points in the elliptic, restricted three-body problem

Celestial Mechanics and Dynamical Astronomy volume 61, pages 333–346 (1995)Cite this article

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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Authors and Affiliations

  1. Institute for Gravitation and Space Sciences, Bucharest, Romania

    Dan Şelaru & Cătălin Cucu-Dumitrescu

Authors
  1. Dan Şelaru
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  2. Cătălin Cucu-Dumitrescu
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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

Key words

  • Elliptic
  • restricted three-body problem
  • Lagrange points
  • von Zeipel's method