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The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem

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Publication:2073327
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DOI10.1007/s10569-021-10052-6zbMath1486.70055OpenAlexW3215164054MaRDI QIDQ2073327

Jaume Llibre, Claudia Valls, Daniel Paşca

Publication date: 1 February 2022

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

Full work available at URL: https://doi.org/10.1007/s10569-021-10052-6

zbMATH Keywords

central configurationperiodic orbit4-body problemrestricted 4-body problem


Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)


Related Items

Equilibrium points and their stability in a new generalized planar version of the collinear restricted four-body problem



Cites Work

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  • Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
  • On the extendable regular integrals of the n-body problem
  • Ejection-collision orbits and invariant punctured tori in a restricted four-body problem
  • Symmetric periodic orbits in the Moulton-Copenhagen problem
  • An approximation theorem in classical mechanics
  • EQUILIBRIUM POINTS AND THEIR STABILITY IN THE RESTRICTED FOUR-BODY PROBLEM
  • The Three-Body Problem
  • Periodic solutions of the N-body problem
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