Effects of eccentricity on halo orbits in the restricted three-body problem

Details Effects of eccentricity on halo orbits in the restricted three-body problem Effects of eccentricity on halo orbits in the restricted three-body problem

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984adans..54..319h&link_type=abstract

IN: Astrodynamics 1983; Proceedings of the Conference, Lake Placid, NY, August 22-25, 1983. Part 1 (A84-30526 13-13). San Diego,

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Eccentricity, Orbit Perturbation, Three Body Problem, Circular Orbits, Equations Of Motion, Halos, Libration

Scientific paper

In the circular restricted three-body problem, there exist families of three-dimensional, periodic halo orbits which emanate from the general vicinity of the three collinear libration points. For most values of the mass ratio of the primaries, the families each contain a range of orbits which are stable. The primary objective of this work was to investigate the effect of eccentricity in the primary system on the stability of such a halo orbit found in the circular problem. It was found that introducing a small amount of eccentricity into the system apparently destabilizes the periodic orbits of the infinitesimal body.

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