Combined effects of perturbations, radiation, and oblateness on the nonlinear stability of triangular points in the restricted three-body problem

DOI10.1007/s10509-010-0546-0zbMath1237.85009OpenAlexW2056232273MaRDI QIDQ416238

Jagadish Singh

Publication date: 10 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10509-010-0546-0

zbMATH Keywords

celestial mechanics\(N\)-body simulation

Mathematics Subject Classification ID

Three-body problems (70F07) Galactic and stellar dynamics (85A05) Equations of motion in general relativity and gravitational theory (83C10) Computational methods for problems pertaining to astronomy and astrophysics (85-08)

Related Items (8)

Effect of oblateness, perturbations, radiation and varying masses on the stability of equilibrium points in the restricted three-body problem ⋮ The equilibrium points in the perturbed R3BP with triaxial and luminous primaries ⋮ On the triangular libration points in photogravitational restricted three-body problem with variable mass ⋮ Existence and linear stability of equilibrium points in the Robe's restricted three-body problem with oblateness ⋮ Out-of-plane equilibrium points and their stability in the Robe's problem with oblateness and triaxiality ⋮ On the restricted three body problem with oblate primaries ⋮ Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies ⋮ Bifurcations of relative equilibria for one spheroidal and two spherical bodies

Cites Work

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• BURRAU'S PROBLEM OF THREE BODIES
• 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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