Reconstructing Euler's work on collinear solutions of the 3-body problem and identifying their corresponding Lagrange points

DOI10.1016/J.PHYSD.2024.134280MaRDI QIDQ6584210

Oscar M. Perdomo

Publication date: 6 August 2024

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

central configurationsLagrange pointsEuler solutionsrestricted n-body problem4 body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) (n)-body problems (70F10) Holonomic systems related to the dynamics of a system of particles (70F20) Dynamical systems methods for problems in mechanics (70G60)

Cites Work

• Title not available (Why is that?)
• Collinear central configuration in four-body problem
• The straight line solutions of the problem of \(N\) bodies.
• The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
• The Structure of Polynomial Ideals and Gröbner Bases
• Central configurations of four bodies with one inferior mass
• Collinear relative equilibria of the planarN-body problem
• Central Configurations
• The inverse problem for collinear central configurations

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