No hanging out in neighborhoods of infinity in the three-body problem

DOI10.1007/s10569-016-9744-6zbMath1367.70023OpenAlexW2572901136MaRDI QIDQ2011614

Connor Jackman

Publication date: 4 August 2017

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

Full work available at URL: https://doi.org/10.1007/s10569-016-9744-6

zbMATH Keywords

three-body problemperturbation methodslunar problemsyzygy sequences

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15)

Cites Work

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• Making the moon reverse its orbit, or, stuttering in the planar three-body problem
• Comet like periodic orbits in the \(N\)-body problem
• Infinitely many syzygies
• Global secular dynamics in the planar three-body problem
• The Three-Body Problem and the Shape Sphere
• A test of escape valid even for very small mutual distances I. The acceleration and the escape velocities of the third body
• Triple close approach in the three-body problem: A limit for the bounded orbits
• Sufficient conditions for hyperbolic-elliptic escape and for ?ejection without escape? in the three-body problem
• Realizing all reduced syzygy sequences in the planar three-body problem
• The zero angular momentum, three-body problem: All but one solution has syzygies
• A remarkable periodic solution of the three-body problem in the case of equal masses

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