A study of the 1/2 retrograde resonance: periodic orbits and resonant capture

Autor(es)

Morais, M. H. M. ^[1] ; Namouni, F. ^[2] ; Voyatzis, G. ^[3] ; Kotoulas, T. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY; v. 133, n. 5 MAY 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/08620-1 - Ressonâncias orbitais em configurações com inclinação mútua arbitrária
• Beneficiário: Maria Helena Moreira Morais
• Modalidade de apoio: Auxílio à Pesquisa - Regular