Collinear central configurations and singular surfaces in the mass space

DOI10.1007/s00205-004-0314-9zbMath1067.70010OpenAlexW1976331263MaRDI QIDQ1771520

Shanzong Sun, Long, Yiming

Publication date: 18 April 2005

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-004-0314-9

zbMATH Keywords

algebraic surfaces6-degree homogeneous polynomials

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (11)

Number of central configurations and singular surfaces in the mass space in the collinear four-body problem ⋮ Super central configurations in the collinear 5-body problem ⋮ Remarks on the inverse problem of the collinear central configurations in the \(N\)-body problem ⋮ Inverse problem of central configurations and singular curve in the collinear 4-body problem ⋮ Euler configurations and quasi-polynomial systems ⋮ Central Configurations, Super Central Configurations, and Beyond in the n-Body Problem ⋮ Central configurations of the collinear three-body problem and singular surfaces in the mass space ⋮ The golden ratio and super central configurations of the \(n\)-body problem ⋮ Collinear central configurations in the n-body problem with general homogeneous potential ⋮ Super central configurations of the three-body problem under the inverse integer power law ⋮ Super central configurations of the n-body problem

Cites Work

• Mathematical problems for the next century
• Four-body central configurations with some equal masses
• Topology and mechanics. I
• Topology and mechanics. II: The planar \(n\)-body problem
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