Central Configurations, Super Central Configurations, and Beyond in the n-Body Problem

DOI10.1007/978-1-4614-4559-3_1zbMath1339.70017OpenAlexW225728972MaRDI QIDQ4915452

Zhifu Xie

Publication date: 10 April 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-4559-3_1

zbMATH Keywords

celestial mechanicscentral configurations\(n\)-body problemssuper central configurations

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The golden ratio and super central configurations of the \(n\)-body problem
• Inverse problem of central configurations and singular curve in the collinear 4-body problem
• Central configurations of the collinear three-body problem and singular surfaces in the mass space
• Collinear central configuration in four-body problem
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Mathematical problems for the next century
• Collinear central configurations and singular surfaces in the mass space
• On central configurations
• Topology and mechanics. II: The planar \(n\)-body problem
• Super central configurations of the three-body problem under the inverse integer power law
• Number of central configurations and singular surfaces in the mass space in the collinear four-body problem
• On the role and the properties ofn body central configurations
• Super central configurations of the n-body problem
• Dynamical systems -- past and present
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
• The inverse problem for collinear central configurations