Convex central configurations of the 4-body problem with two pairs of equal adjacent masses

DOI10.1007/s00205-017-1134-zzbMath1390.70019OpenAlexW2622044824MaRDI QIDQ2408180

Luis Fernando Mello, Jaume Llibre, Antonio Carlos Fernandes

Publication date: 10 October 2017

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

Full work available at URL: http://ddd.uab.cat/record/182500

zbMATH Keywords

celestial mechanics4-body problemconvex central configurationsconvex quadrilateral

Mathematics Subject Classification ID

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

Related Items (15)

Inverse problem of central configurations in the collinear 5-body problem ⋮ Super central configurations in the collinear 5-body problem ⋮ On the uniqueness of convex central configurations in the planar 4-body problem ⋮ On the central configurations of the n-body problem ⋮ A limit of nonplanar 5-body central configurations is nonplanar ⋮ On the uniqueness of trapezoidal four-body central configurations ⋮ Tangential trapezoid central configurations ⋮ Four-body central configurations with one pair of opposite sides parallel ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Classifying four-body convex central configurations ⋮ Trapezoid central configurations ⋮ On the uniqueness of co-circular four body central configurations ⋮ Hjelmslev quadrilateral central configurations ⋮ On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials ⋮ \(4\)-vortex trapezoidal central configurations

Cites Work

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