A note on the elliptic restricted three-body problem

DOI10.1007/BF01232287zbMath0625.70005OpenAlexW2324603200MaRDI QIDQ3028395

Merce Olle, Gerard Gomez

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01232287

zbMATH Keywords

parabolic orbitssolution familiesarc-solutionsnumber of double collision orbitsorbits with consecutive collisionsplane elliptic restricted problem of three bodiesrestricted circular problemrotating pulsating two body problemsiderial energysymmetric periodical orbits

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Three-body problems (70F07) Celestial mechanics (70F15) Ordinary differential equations and systems on manifolds (34C40)

Related Items (5)

Consecutive collision orbits in the limiting case ?=0 of the elliptic restricted problem ⋮ 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 general timing condition for consecutive collision orbits in the limiting case \(\mu{}=0\) of the elliptic restricted problem ⋮ Exact linearization of non-planar intermediary orbits in the satellite theory

Cites Work

• Unnamed Item
• Unnamed Item
• Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small ?>0
• [https://portal.mardi4nfdi.de/wiki/Publication:3856154 On Poincar�'s second species solutions]
• Second species solutions with an 0(? v ), 0<v<1, near-Moon passage
• [https://portal.mardi4nfdi.de/wiki/Publication:3945645 A note on a conjecture of Poincar�]
• Periodic Orbits in the Restricted Problem: An Analysis in the Neighborhood of a 1st Species-2nd Species Bifurcation
• Periodic Orbits in the Restricted Three-Body Problem: Existence and Asymptotic Approximation
• The restricted problem: An extension of Breakwell-Perko's matching theory
• Linear analysis of one type of second species solutions
• Critical generating orbits for second species periodic solutions of the restricted problem
• Generating Orbits for Stable Close Encounter Periodic Solutions of the Restricted Problem
• The stability of second species periodic orbits in the restricted problem (μ = 0)
• Researches on the restricted three-body problem
• On the restrited three-body problem when the mass parameter is small
• Interplanetary trajectories in the restricted three-body problem

This page was built for publication: A note on the elliptic restricted three-body problem