Families of periodic solutions in the problem of the rotation of a rigid body at a triangular libration point of the restricted three-body problem

Details Families of periodic solutions in the problem of the rotation of a rigid body at a triangular libration point of the restricted three-body problem Families of periodic solutions in the problem of the rotation of a rigid body at a triangular libration point of the restricted three-body problem

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987kosis..25..362l&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 25, May-June 1987, p. 362-369. In Russian.

Physics

Librational Motion, Periodic Functions, Rigid Structures, Satellite Orbits, Three Body Problem, Earth Orbits, Hamiltonian Functions, Lunar Orbits, Poincare Problem

Scientific paper

The present study defines and analyzes families of three-dimensional periodic solutions in the problem of the rotation of an axisymmetric rigid body with a triaxial central ellipsoid of inertia around the L4 libration point of the restricted (circular and elliptical) three-body problem. It is assumed that the ellipsoid of inertia is almost spherical. The analysis is based on Poincare's theory of degenerate Hamiltonian systems. Numerical results are examined.

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