On the Stability of Triangular Lagrangian Points in the Restricted Three-Body Problem

Details On the Stability of Triangular Lagrangian Points in the Restricted Three-Body Problem On the Stability of Triangular Lagrangian Points in the Restricted Three-Body Problem

Jan 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aj....135..187s&link_type=abstract

The Astronomical Journal, Volume 135, Issue 1, pp. 187-195 (2008).

Astronomy and Astrophysics

Astronomy

2

Celestial Mechanics, Methods: Analytical

Scientific paper

We explore the stability of triangular libration points in the spatial (three-dimensional) circular restricted three-body problem. For the analysis of stability, we derive new equations coupling up distances from an infinitesimally small particle to bodies with masses m1 and m2. We prove a theorem on the instability of triangular libration points and discuss relations between Lyapunov stability and Birkhoff stability.
This paper is a result of revision and enhancement of the preprint by Sosnitskii (2006).

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