A perturbation method for problems with two critical arguments

DOI10.1007/BF01234307zbMath0614.70021OpenAlexW4251563153MaRDI QIDQ4721696

Anne Lemaitre, Jacques Henrard

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01234307

zbMATH Keywords

chaotic motionphase spaceresonancehomoclinic orbitstruncated modelsemi-numerical perturbation methodrestricted elliptic three body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)

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Cites Work

• A simple derivation of capture probabilities for the J+1:J and J+2:J orbit-orbit resonance problems
• A second fundamental model for resonance
• Formation of the Kirkwood gaps in the asteroid belt
• The reducing transformation and Apocentric Librators
• Canonical solution of the two critical argument problem
• Capture into resonance: An extension of the use of adiabatic invariants
• Virtual singularities in the artificial satellite theory