Existence and Stability of Libration Points in the Restricted Three-Body Problem When the Primaries are Triaxial Rigid Bodies

Details Existence and Stability of Libration Points in the Restricted Three-Body Problem When the Primaries are Triaxial Rigid Bodies Existence and Stability of Libration Points in the Restricted Three-Body Problem When the Primaries are Triaxial Rigid Bodies

Feb 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..79..119s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 79, Issue 2, p. 119-133 (2001).

Astronomy and Astrophysics

Astronomy

5

Restricted Three-Body Problem, Libration Points, Rigid Bodies, Stability, Restricted Three-Body Problem, Libration Points, Rigid Bodies, Stability

Scientific paper

This paper deals with the stationary solutions of the planar restricted three-body problem when the primaries are triaxial rigid bodies with one of the axes as the axis of symmetry and its equatorial plane coinciding with the plane of motion. It is seen that there are five libration points, two triangular and three collinear. It is further observed that the collinear points are unstable, while the triangular points are stable for the mass parameter 0 ≤ μ < μcrit(the critical mass parameter). It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of μ.

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