Stability of the triangular Lagrange points beyond Gascheau's value

DOI10.1007/S10569-010-9259-5zbMath1291.70047OpenAlexW2112201830WikidataQ113447575 ScholiaQ113447575MaRDI QIDQ990337

Bruno Sicardy

Publication date: 31 August 2010

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

Full work available at URL: https://doi.org/10.1007/s10569-010-9259-5

zbMATH Keywords

three-body problemglobal stabilityLagrange pointsRouth's critical mass ratioFeigenbaum cascade

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15)

Related Items (8)

Comet and moon solutions in the time-dependent restricted \((n+1)\)-body problem ⋮ Global bifurcation of planar and spatial periodic solutions in the restricted \(n\)-body problem ⋮ Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem ⋮ Natural dynamical reduction of the three-body problem ⋮ Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Infinite Feigenbaum sequences and spirals in the vicinity of the Lagrangian periodic solutions ⋮ High-order solutions of motion near triangular libration points for arbitrary value of \(\mu\) ⋮ Bifurcations and dynamical analysis of Coriolis-stabilized spherical lagging pendula

Cites Work

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• Formal integrals and Nekhoroshev stability in a mapping model for the Trojan asteroids
• Linear stability of the Lagrangian triangle solutions for quasihomogeneous potentials
• The universal metric properties of nonlinear transformations
• On motions near the Lagrange equilibrium point \(L_4\) in the case of Routh's critical mass ratio
• Families of periodic orbits emanating from homoclinic orbits in the restricted problem of three bodies
• The web of periodic orbits at \(L_4\)
• A parametric study of stability and resonances around \(L_4\) in the elliptic restricted three-body problem
• Solar System Dynamics
• Matrix methods in the calculation and analysis of orbits
• The phase space structure around \(L_4\) in the restricted three-body problem

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