Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984kosis..22..663b&link_type=abstract
Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 22, Sept.-Oct. 1984, p. 663-674. In Russian.
Astronomy and Astrophysics
Astronomy
Elliptical Orbits, Libration, Periodic Functions, Satellite Rotation, Three Body Problem, Astrodynamics, Hamiltonian Functions, Lagrangian Equilibrium Points, Motion Stability, Poincare Spheres, Satellite Orientation
Scientific paper
Several families of periodic solutions are obtained and analyzed for the rotational motion of a rigid body whose center of mass is situated at the L4 libration point of the restricted elliptical three-body problem. It is assumed that the ellipsoid of inertia is nearly a sphere. The investigation is based on the theory of periodic Poincaresolutions for degenerate Hamiltonian systems.
Barkin Iu. V.
Leliavin S. N.
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