Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ncimc...5..649b&link_type=abstract
Nuovo Cimento C, Serie 1, vol. 5C, Nov.-Dec. 1982, p. 649-671.
Astronomy and Astrophysics
Astronomy
Earth Orbits, Gravitational Effects, Lagrangian Equilibrium Points, Orbit Perturbation, Satellite Orbits, Stationary Orbits, Astrodynamics, Moon, Planetary Rotation
Scientific paper
In this paper the position and the characteristics of the equilibrium points of a planet gravitational potential are studied as functions of the J(22) parameter under the assumption that the potential is truncated to the first tesseral harmonic V = V(0) + J(22) V(22). The variational equations are solved analytically in the neighborhood of these points to determine the possible periodic orbits of a stationary satellite in the equatorial plane. A numerical investigation of the problem is reported with the presentation of some periodic orbits of different families of stable and unstable type.
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