A general timing condition for consecutive collision orbits in the limiting case \(\mu{}=0\) of the elliptic restricted problem

DOI10.1007/BF00049448zbMath0739.70006OpenAlexW1976699380MaRDI QIDQ1184744

S. M. Marsh, Kathleen C. Howell

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00049448

zbMATH Keywords

restricted three-body problemcollision orbitsinfinitesimal masstiming condition

Mathematics Subject Classification ID

Three-body problems (70F07) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (1)

Asymptotic solution to the restricted three-body problem with a mass point moving near a small-mass body

Cites Work

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• Some families of periodic oscillations in the restricted problem with small mass-ratios of three bodies
• A note on the elliptic restricted three-body problem
• Periodic solutions of the restricted problem that are analytic continuations of periodic solutions of Hill's problem for small ?>0
• On periodic flybys of the moon
• Consecutive collision orbits in the limiting case ?=0 of the elliptic restricted problem
• Periodic Orbits in the Restricted Three-Body Problem: Existence and Asymptotic Approximation
• 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)

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