A global regularization for the \((N+1)\)-body problem with the primaries in a regular \(N\)-gon central configuration

DOI10.1007/s12346-015-0149-9zbMath1343.70016OpenAlexW2499916201MaRDI QIDQ904869

Claudio Vidal, Martha Alvarez-Ramírez

Publication date: 14 January 2016

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-015-0149-9

zbMATH Keywords

binary collisionrestricted \((N+1)\)-body problemglobal regularizationBirkhoff's transformation

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Collisions in celestial mechanics, regularization (70F16)

Related Items (1)

Dynamics of the Parabolic Restricted Collinear Three-Body Problem

Cites Work

• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• EQUILIBRIUM POINTS AND THEIR STABILITY IN THE RESTRICTED FOUR-BODY PROBLEM
• Regular Polygon Solutions of the N-Body Problem
• Sur l'existence de certaines configurations d'equilibre relatif dans le probleme desN corps
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