We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A parametric study of stability and resonances around L<sub>4</sub> in the elliptic restricted three-body problem.
- Authors
Bálint Érdi; Emese Forgács-Dajka; Imre Nagy; Renáta Rajnai
- Abstract
Abstract The size of the stable region around the Lagrangian point L 4 in the elliptic restricted three-body problem is determined by numerical integration as a function of the mass parameter and eccentricity of the primaries. The size distribution of the stable regions in the mass parameter-eccentricity plane shows minima at certain places that are identified with resonances between the librational frequencies of motions around L 4. These are computed from an approximate analytical equation of Rabe relating the frequency, mass parameter and eccentricity. Solutions of this equation are determined numerically and the global behaviour of the frequencies depending on the mass parameter and eccentricity is shown and discussed. The minimum sizes of the stable regions around L 4 change along the resonances and the relative strength of the resonances is analysed. Applications to possible Trojan exoplanets are indicated. Escape from L 4 is also investigated.
- Subjects
RESONANCE; NUMERICAL analysis; LAGRANGIAN points; NUMERICAL integration
- Publication
Celestial Mechanics & Dynamical Astronomy, 2009, Vol 104, Issue 1/2, p145
- ISSN
0923-2958
- Publication type
Article