Critical generating orbits for second species periodic solutions of the restricted problem

DOI10.1007/BF01228610zbMath0369.70007OpenAlexW2047261997MaRDI QIDQ4146273

Donald L. Hitzl, Michel Hénon

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf01228610

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Celestial mechanics (70F15) Asymptotic properties of solutions to ordinary differential equations (34D05) (n)-body problems (70F10)

Related Items (15)

On families of periodic solutions of the restricted three-body problem ⋮ Strands and braids in narrow planetary rings: a scattering system approach ⋮ Consecutive collision orbits in the limiting case ?=0 of the elliptic restricted problem ⋮ Symmetric periodic orbits for the collinear charged 3-body problem ⋮ A general timing condition for consecutive collision orbits in the limiting case \(\mu{}=0\) of the elliptic restricted problem ⋮ A note on the elliptic restricted three-body problem ⋮ Periodic solutions of the restricted three-body problem for a small mass ratio ⋮ Unnamed Item ⋮ Application of a genetic algorithm in orbital maneuvers ⋮ Phase-space volume of regions of trapped motion: Multiple ring components and arcs ⋮ The present status of periodic orbits ⋮ Attitude stability of a spinning symmetric satellite in a planar periodic orbit ⋮ On periodic flybys of the moon ⋮ Chaotic scattering in the restricted three-body problem. II: Small mass parameters ⋮ Periodic orbits

Cites Work

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• A new proof of a theorem of J. Moser concerning the restricted problem of three bodies
• Periodic symmetric solutions of the restricted problem
• Periodic Orbits in the Restricted Three-Body Problem: Existence and Asymptotic Approximation
• Second-order matching in the restricted three-body problem (small?)
• The swinging spring ? Approximate analyses for low and very high energy, II
• The restricted problem: An extension of Breakwell-Perko's matching theory
• Numerical investigation of the planar restricted three-body problem
• Numerical investigation of the planar restricted three-bodyproblem
• Linear analysis of one type of second species solutions
• EXISTENCE OF PERIODIC SOLUTIONS PASSING NEAR BOTH MASSES OF THE RESTRICTED THREE-BODY PROBLEM
• Periodic Solutions of the Restricted Three Body Problem Representing Analytic Continuations of Keplerian Elliptic Motions

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