Infinitesimal Orbits Around Lagrange Points in the Elliptic, Restricted Three-Body Problem

Details Infinitesimal Orbits Around Lagrange Points in the Elliptic, Restricted Three-Body Problem Infinitesimal Orbits Around Lagrange Points in the Elliptic, Restricted Three-Body Problem

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..61..333s&link_type=abstract

Celestial mechanics and dynamical astronomy, Volume 61, Issue 4, pp.333-346

Astronomy and Astrophysics

Astronomy

3

Scientific paper

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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