Twisted stacked central configurations for the spatial seven-body problem

DOI10.1016/j.geomphys.2013.03.026zbMath1331.70044OpenAlexW2050885436MaRDI QIDQ390860

Tianqing An, Xia Su

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.03.026

zbMATH Keywords

celestial mechanicsstacked central configurationseven-body problem

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items

Two classes of stacked central configurations for the spatial \(2n+1\)-body problem: nested regular polyhedra plus one ⋮ Super central configurations in the collinear 5-body problem ⋮ Central configurations in the planar 6-body problem forming two equilateral triangles ⋮ Twisted stacked central configurations for the spatial nine-body problem ⋮ Spatial bi-stacked central configurations formed by two dual regular polyhedra

Cites Work

• New stacked central configurations for the planar 5-body problem
• Mathematical problems for the next century
• On central configurations
• Stacked central configurations for the spatial seven-body problem
• Seven-body central configurations: a family of central configurations in the spatial seven-body problem
• New central configurations for the planar 5-body problem
• On the role and the properties ofn body central configurations
• Stacked central configurations: new examples in the planar five-body problem