Isosceles trapezoid central configurations of the Newtonian four-body problem

DOI10.1017/S0308210511000576zbMath1308.70013OpenAlexW2335595795MaRDI QIDQ2895833

Zhifu Xie

Publication date: 4 July 2012

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210511000576

zbMATH Keywords

one-dimensional familymass-size relation

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (15)

Central configurations of the 4-body problem with masses \(m_1 = m_2 > m_3 = m_4 = m > 0\) and \(m\) small ⋮ Some notes on four-body co-circular central configurations ⋮ The symmetric central configurations of the 4-body problem with masses \(m_1 = m_2 \neq m_3 = m_4\) ⋮ On the uniqueness of convex central configurations in the planar 4-body problem ⋮ Planarity conditions and four-body central configurations equations with angles as coordinates ⋮ Tangential trapezoid central configurations ⋮ Four-body central configurations with one pair of opposite sides parallel ⋮ Central configurations of four bodies with an axis of symmetry ⋮ 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 ⋮ Bicentric quadrilateral central configurations ⋮ On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials

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