Stability of the libration points of a rotating triaxial ellipsoid in the three-dimensional case

Details Stability of the libration points of a rotating triaxial ellipsoid in the three-dimensional case Stability of the libration points of a rotating triaxial ellipsoid in the three-dimensional case

Jun 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975sva....18..792z&link_type=abstract

(Astronomicheskii Zhurnal, vol. 51, Nov.-Dec. 1974, p. 1330-1334.) Soviet Astronomy, vol. 18, May-June 1975, p. 792-794. Transl

Astronomy and Astrophysics

Astronomy

Ellipsoids, Lagrangian Equilibrium Points, Libration, Rotating Bodies, Systems Stability, Two Body Problem, Canonical Forms, Differential Equations, Equations Of Motion, Gravitational Fields, Hamiltonian Functions, Three Dimensional Motion

Scientific paper

The problem of stability of the equilibrium points in the problem of a mass point in the neighborhood of a rotating triaxial ellipsoid in the three-dimensional case is investigated. It is proved that the libration points situated on the continuations of the minor axis of the equatorial section of the triaxial ellipsoid are stable in the three-dimensional case for the most initial conditions except for two cases, which were proved unstable previously.

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