Stability of the triangular points in the elliptic restricted problem of three bodies

DOI10.2514/3.5646zbMath0208.26203OpenAlexW2154322617MaRDI QIDQ5610318

Ahmed Ali Kamel, Ali Hasan Nayfeh

Publication date: 1970

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.5646

Mathematics Subject Classification ID

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

Related Items (7)

On the parametric stability of the isosceles triangular libration points in the planar elliptical charged restricted three-body problem ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5656426 Sur la stabilit� des points d'�quilibre triangulaires dans le probl�me restreint elliptique] ⋮ On the stability of Lagrange solutions in the spatial near-circular restricted three-body problem ⋮ Basic bifurcation scenarios in neighborhoods of boundaries of stability regions of libration points in the three-body problem ⋮ Motion near the triangular points in the elliptic restricted problem of three bodies ⋮ On the metric stability and the Nekhoroshev estimate of the velocity of Arnold diffusion in a special case of the three-body problem ⋮ A note on a separation of the linearized equations of motion in the elliptic restricted problem

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