Non-linear stability of triangular equilibrium points in ER3BP under radiating primaries in presence of resonance

DOI10.1007/S12591-015-0260-ZzbMath1437.70019OpenAlexW1143613375MaRDI QIDQ1800662

Yanyan Li

Publication date: 24 October 2018

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-015-0260-z

zbMATH Keywords

stabilityresonanceradiation pressuretriangular libration pointsHamiltonian functionsER3BP

Mathematics Subject Classification ID

Three-body problems (70F07) Stability of solutions to ordinary differential equations (34D20) Dynamical systems in classical and celestial mechanics (37N05) Parametric resonances for nonlinear problems in mechanics (70K28)

Cites Work

• Unnamed Item
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• Effect of perturbed potentials on the non-linear stability of libration point \(L_4\) in the restricted problem
• A parametric study of stability and resonances around \(L_4\) in the elliptic restricted three-body problem
• The effect of solar radiation pressure on the Lagrangian points in the elliptic restricted three-body problem
• On the stability of triangular points in the elliptic R3BP under radiating and oblate primaries
• On the stability of triangular libration points taking into account the light pressure for the circular restricted problem of three bodies
• On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies
• On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies when both of the attracting bodies are radiating as well
• The existence and stability of equilibrium points in the Robe's restricted three-body problem

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