On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies

Details On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..36..281g&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 36, July 1985, p. 281-285.

Physics

4

Eccentric Orbits, Lagrangian Equilibrium Points, Motion Stability, Orbital Mechanics, Three Body Problem, Eccentricity, Equations Of Motion, Librational Motion

Scientific paper

Consideration is given to the nonlinear stability of motions around L(5) in the elliptic restricted three-body problem. The effect of the orbital eccentricity of the primaries on the shape of the established stability region is studied in detail. It is shown that the width of the stability regions decreases as the eccentricity of the primaries increases. The arrangement of the primaries in the stability region is illustrated.

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