Nonlinear stability of equilibrium points in the restricted three-body problem with variable mass

DOI10.1007/s10509-008-9768-9zbMath1192.85004OpenAlexW2076838036MaRDI QIDQ931475

Jagadish Singh

Publication date: 25 June 2008

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10509-008-9768-9

zbMATH Keywords

Equilibrium pointsNonlinear stabilityRTBP with variable mass

Mathematics Subject Classification ID

Three-body problems (70F07) Galactic and stellar dynamics (85A05)

Related Items (6)

On the triangular libration points in photogravitational restricted three-body problem with variable mass ⋮ Comment on the paper ``On the triangular libration points in photogravitational restricted three-body problem with variable mass by Zhang, M. J., et al. ⋮ Reply to: ``Comment on the paper `on the triangular libration points in photogravitational restricted three-body problem with variable mass' ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Late-time acceleration in \(f(Q)\) gravity: analysis and constraints in an anisotropic background

Cites Work

• The restricted problem of a tri-axial rigid body and two spherical bodies with variable masses
• Nonlinear stability of the libration points in the photogravitational restricted three body problem
• Nonlinear stability in the generalized restricted three-body problem
• Stability of the triangular libration points in the unrestricted planar problem of a symmetric rigid body and a point mass
• The effect of perturbations in coriolis and centrifugal forces on the nonlinear stability of equilibrium points in the restricted problem of three bodies
• Equations of motion of the restricted problem of three bodies with variable mass
• Effect of perturbations on the stability of triangular points. In the restricted problem of three bodies with variable mass
• Effect of peturbations on the location of equilibrium points in the restricted problem of three bodies with variable mass
• Equations of motion of elliptic restricted problem of three bodies with variable mass
• Two-body problem with slowly decreasing mass
• The nonlinear stability of \(L_4\) in the restricted three-body problem when the bigger primary is a triaxial rigid body

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