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

DOI10.1007/S10569-021-10020-0zbMath1466.70019arXiv2104.05795OpenAlexW3157733945MaRDI QIDQ2034095

Yanyan Li

Publication date: 21 June 2021

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05795

zbMATH Keywords

three-body problemresonance

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Parametric resonances for nonlinear problems in mechanics (70K28)

Cites Work

• On retrograde orbits, resonances and stability
• A numerical investigation of coorbital stability and libration in three dimensions
• Inclined asymmetric librations in exterior resonances
• Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune
• Coorbital capture at arbitrary inclination
• Three-dimensional, periodic, ?halo? orbits
• Are retrograde resonances possible in multi-planet systems?
• Periodic orbits of the planetary type and their stability
• Solar System Dynamics
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