On the effect of eccentricity of a planetary orbit on the stability of satellite orbits
Abstract
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 threebody 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.
 Publication:

Journal of Astrophysics and Astronomy
 Pub Date:
 March 1990
 DOI:
 10.1007/BF02728017
 Bibcode:
 1990JApA...11...11I
 Keywords:

 Celestial Mechanics;
 Eccentric Orbits;
 Natural Satellites;
 Orbit Perturbation;
 Planetary Orbits;
 Eigenvalues;
 Equations Of Motion;
 Hill Method;
 Three Body Problem;
 Astrophysics