The Effect of Orbital Eccentricities on the Shape of the Hill-Type Analytical Stability Surfaces in the General Three-Body Problem
Abstract
Hill-type stability surfaces are computed for the general hierarchical three-body problem for non-zero eccentricities of the initial osculating orbits. Significant differences are found between them and the one obtained for initial zero eccentricities. Application is made to the triple subgroups of the Solar System; in particular it is found that no analytical guarantee of Hill-type stability can be given to any of the satellites against solar perturbations.
- Publication:
-
Celestial Mechanics
- Pub Date:
- March 1984
- DOI:
- 10.1007/BF01236601
- Bibcode:
- 1984CeMec..32..217V
- Keywords:
-
- Eccentricity;
- Hill Method;
- Numerical Stability;
- Orbit Perturbation;
- Orbital Mechanics;
- Three Body Problem;
- Circular Orbits;
- Elliptical Orbits;
- Natural Satellites;
- Planets;
- Solar System;
- Sun;
- Tables (Data);
- Astronomy