Minimizing periodic orbits with regularizable collisions in the \(n\)-body problem
type: Item
instance of: scholarly article
title: Minimizing periodic orbits with regularizable collisions in the \(n\)-body problem
zbMATH Open document ID: 1291.70049
author: Mitsuru Shibayama
published in: Archive for Rational Mechanics and Analysis
publication date: 2011-10-04T00:00:00Z
Mathematics Subject Classification ID: 70F16
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 5952956
zbMATH Keywords: Lagrangian
zbMATH Keywords: normal form
zbMATH Keywords: existence
zbMATH Keywords: Schubartz orbit
MaRDI profile type: Publication
full work available at URL: s00205-010-0334-6
OpenAlex ID: W2056102455
cites work: Q4174284
cites work: Binary decompositions for planar \(N\)-body problems and symmetric periodic solutions
cites work: A remarkable periodic solution of the three-body problem in the case of equal masses
cites work: On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
cites work: A topological existence proof for the Schubart orbits in the collinear three-body problem
cites work: Periodic solutions with singularities in two dimensions in the \(n\)-body problem
cites work: The principle of symmetric criticality
cites work: Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem
cites work: A variational proof of the existence of von Schubart's orbit
DOI: 10.1007/S00205-010-0334-6
description: scientific article; zbMATH DE number 5952956