Poincaré maps and near-collision dynamics for a restricted planar \((n + 1)\)-body problem

DOI10.1016/j.amc.2014.02.009zbMath1334.70025OpenAlexW2049735803MaRDI QIDQ272616

Antonio García, Martha Alvarez-Ramírez

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.009

zbMATH Keywords

Poincaré mapsbinary collisionplanar restricted \((n+1)\)-body problem

Mathematics Subject Classification ID

(n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Related Items (1)

An \(n\) center problem as an example of a geodesic billiard map with singularities: Poincaré maps and dynamics

Cites Work

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• Symbolic dynamics for the \(N\)-centre problem at negative energies
• Chaotic behavior in the 3-center problem.
• The existence of pseudocollisions in the plane
• Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP

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