Analytical investigation of nonlinear stability of the Lagrangian point \(L_4\) around the commensurability 1:2

DOI10.1007/BF00693415zbMath0967.70502MaRDI QIDQ1363506

Johannes Hagel

Publication date: 27 August 2001

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20)

Related Items (1)

A new method to construct integrable approximations to nearly integrable systems in Celestial mechanics: application to the Sitnikov problem

Uses Software

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Cites Work

• On the stability of the Lagrangian points in the spatial restricted problem of three bodies
• Position and velocity sensitivities at the triangular libration points
• The stability of the triangular Lagrangian points for commensurability of order two

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