Orbital resonances in configurations with arbitrary relative inclination
Formation and evolution of extrasolar systems with inclined orbits
Capture, permanence and escape of resonances in the Solar System
| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Univ Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas, Av 24-A, 1515, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Cote dAzur, CNRS, Observ Cote d'Azur, CS 34229, F-06304 Nice - France
[3] Aristotle Univ Thessaloniki, Dept Phys, Thessaloniki 54124 - Greece
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY; v. 133, n. 5 MAY 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We describe the families of periodic orbits in the 2-dimensional 1/2 retrograde resonance at mass ratio 10(-3), analyzing their stability and bifurcations into 3-dimensional periodic orbits. We explain the role played by periodic orbits in adiabatic resonance capture, in particular how the proximity between a stable family and an unstable family with a nearly critical segment, associated withKozai separatrices, determines the transition between distinct resonant modes observed in numerical simulations. Combining the identification of stable, critical and unstable periodic orbits with analytical modeling, resonance capture simulations and computation of stability maps helps to unveil the complex 3-dimensional structure of resonances. (AU) | |
| FAPESP's process: | 18/08620-1 - Orbital resonances in configurations with arbitrary relative inclination |
| Grantee: | Maria Helena Moreira Morais |
| Support Opportunities: | Regular Research Grants |