O the Libration Orbits of a Particle Near the Triangular Point in the Semirestricted Three-Body Problem

Details O the Libration Orbits of a Particle Near the Triangular Point in the Semirestricted Three-Body Problem O the Libration Orbits of a Particle Near the Triangular Point in the Semirestricted Three-Body Problem

Nov 1962

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1962saosr.108.....c&link_type=abstract

SAO Special Report #108 (1962)

Computer Science

Numerical Analysis

1

Scientific paper

This paper describes a numerical analysis of the motion of an infinitesimal body around the Lagrangian triangular point in the semirestricted three-body problem. The principal goal of the present research is the determination of the influence of the eccentricity of the moon's orbit on the small oscillation (librations) of the infinitesimal body around the triangular point. Although the numerical accuracy could be greater, the results are both interesting and significant. The expected decrease in the degree of stability of the libration orbit was confirmed.

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