We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Stability of higher order resonances in the restricted three-body problem.
- Authors
Érdi, Bálint; Rajnai, Renáta; Sándor, Zsolt; Forgács-Dajka, Emese
- Abstract
Third and fourth order mean motion resonances are studied in the model of the restricted three-body problem by numerical methods for mass parameters corresponding approximately to the Sun-Jupiter and Sun-Neptune systems. In the case of inner resonances, it is shown that there are two regions of libration in the 8:5 and 7:4 resonances, one at low, the other at high eccentricities. In the 9:5 and 7:3 resonances libration can exist only in one region at high eccentricities. The 5:2 and 4:1 resonances are very regular, with one librational zone existing for all eccentricities. There is no visible region of libration at any eccentricities in the 5:1 resonance, the transition between the regions of direct and retrograde circulation is very sharp. In the case of outer resonances, the 8:5 and 7:4 resonances have also two regions of libration, but the 9:5 resonance has three, the 7:3 resonance two librational zones. The 5:2 resonance is again very regular, but it is parted for two regions of libration at high eccentricities. Libration is possible in the 4:1 resonance only at high eccentricities. The 5:1 resonance is very symmetric. In the case of outer resonances, a comparison is made with trans-Neptunian objects (TNO) in higher order mean motion resonances. Several new librating TNOs are identified.
- Subjects
RESONANCE; JUPITER (Planet) research; NEPTUNE (Planet) research; LAGRANGIAN points; NUMERICAL analysis
- Publication
Celestial Mechanics & Dynamical Astronomy, 2012, Vol 113, Issue 1, p95
- ISSN
0923-2958
- Publication type
Article
- DOI
10.1007/s10569-012-9420-4