Periodic orbits of the planetary type and their stability

DOI10.1007/BF01234581zbMath0664.70012OpenAlexW4239183308MaRDI QIDQ3815582

John D. Hadjidemetriou

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01234581

zbMATH Keywords

periodic orbitsmethod of averagingfour-body problemrestricted three-body problemgeneral three-body problemplanetary systemsmethod of surface of sectionelliptic three-body problem

Mathematics Subject Classification ID

Celestial mechanics (70F15) Nonlinear resonances for nonlinear problems in mechanics (70K30) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (6)

Critical point families at the 3:1 resonance ⋮ The elliptic restricted problem at the 3:1 resonance ⋮ Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune ⋮ On symmetrical planetary corotations ⋮ A study of the 1/2 retrograde resonance: periodic orbits and resonant capture ⋮ Asymmetric librations in exterior resonances

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