On Poincar�'s second species solutions

DOI10.1007/BF01230250zbMath0422.70009OpenAlexW2002174620MaRDI QIDQ3856154

Jacques Henrard

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01230250

zbMATH Keywords

singular perturbationasymptotic approximationtopological equivalencePoincare's second species solution

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (11)

Degenerate billiards in celestial mechanics ⋮ A numerical study of the orbits of second species of the planar circular RTBP ⋮ Second-species solutions in the circular and elliptic restricted three- body problem. I: Existence and asymptotic approximation ⋮ Second species solutions in the circular and elliptic restricted three- body problem. II: Numerical explorations ⋮ A note on the elliptic restricted three-body problem ⋮ Asymptotic solution to the restricted three-body problem with a mass point moving near a small-mass body ⋮ Exponential stability of fast driven systems, with an application to celestial mechanics ⋮ Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem ⋮ Unnamed Item ⋮ The present status of periodic orbits ⋮ Periodic orbits

Cites Work

• Unnamed Item
• Normal forms for Hamiltonian systems
• The restricted problem: An extension of Breakwell-Perko's matching theory
• Linear analysis of one type of second species solutions
• [https://portal.mardi4nfdi.de/wiki/Publication:5675367 Proof of a conjecture of E. Str�mgren]

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