A simple derivation of capture probabilities for the J+1:J and J+2:J orbit-orbit resonance problems

DOI10.1007/BF01231120zbMath0542.70016OpenAlexW2012432220MaRDI QIDQ3330581

Peter Goldreich, Nicole Borderies

Publication date: 1984

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01231120

zbMATH Keywords

adiabatic invariantsorbital resonancescapture probabilitiesHenrard's methodsimplified analytic derivation

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (9)

Probability of capture for the second fundamental model resonance ⋮ Tilting Styx and Nix but not Uranus with a spin-precession-mean-motion resonance ⋮ On the 3/1 planar and circular resonant problem ⋮ The origin of chaotic behaviour in the Miranda-Umbriel 3:1 resonances ⋮ The critical inclination problem ? 30 years of progress ⋮ Sweeping through a second order resonance ⋮ Resonance trapping and evolution of particles subject to Poynting- Robertson drag: Adiabatic and non-adiabatic approaches ⋮ A perturbation method for problems with two critical arguments ⋮ Dynamics of ring-satellite sytems around saturn and uranus

Cites Work

• A second fundamental model for resonance
• Capture into resonance: An extension of the use of adiabatic invariants
• Diagrammatic theory of transition of pendulum like systems

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