On the Orbital Stability of Triangular Lagrangian Motions in the Three-Body Problem

Details On the Orbital Stability of Triangular Lagrangian Motions in the Three-Body Problem On the Orbital Stability of Triangular Lagrangian Motions in the Three-Body Problem

Dec 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aj....136.2533s&link_type=abstract

The Astronomical Journal, Volume 136, Issue 6, pp. 2533-2540 (2008).

Astronomy and Astrophysics

Astronomy

Celestial Mechanics

Scientific paper

For the spatial three-body problem, the orbital stability of stationary triangular Lagrangian solutions is investigated. To the end of stability analysis, new equations coupling the mutual distances between bodies (mass points) are deduced. A theorem on the orbital instability of stationary triangular solutions related to circular orbits of mass points is proved.

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