Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990japa...11...11i&link_type=abstract
Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 11, March 1990, p. 11-22.
Astronomy and Astrophysics
Astrophysics
2
Celestial Mechanics, Eccentric Orbits, Natural Satellites, Orbit Perturbation, Planetary Orbits, Eigenvalues, Equations Of Motion, Hill Method, Three Body Problem
Scientific paper
The effect of the eccentricity of a planet's orbit on the stability of the orbits of its satellites is studied. The model used is the elliptic Hill case of the planar restricted three-body problem. The linear stability of all the known families of periodic orbits is computed. No stable orbits are found, the majority of them possessing one or two pairs of real eigenvalues of the monodromy matrix, while some with complex instability are found. Two families of periodic orbits, bifurcating from the Lagrangian points of the corresponding circular case are found analytically. These orbits are very unstable and the determination of their stability coefficients is not accurate.
Ichtiaroglou Simos
Voyatzis George
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