On the perturbed restricted three-body problem

DOI10.21042/AMNS.2016.1.00010zbMath1433.70014OpenAlexW2381196278MaRDI QIDQ4597638

Elbaz I. Abouelmagd, Juan Luis García Guirao

Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21042/amns.2016.1.00010

zbMATH Keywords

stabilityperiodic orbitsrestricted three-body problemlibration pointsoblatenessCoriolis and centrifugal forces

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (14)

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Cites Work

• Unnamed Item
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• The motion around the libration points in the restricted three-body problem with the effect of radiation and oblateness
• The effect of photogravitational force and oblateness in the perturbed restricted three-body problem
• The effect of oblateness in the perturbed restricted three-body problem
• Periodic orbits in the generalized perturbed restricted three-body problem
• The libration points of a spherical satellite in the photogravitational restricted problem of three bodies
• The libration points of axisymmetric satellite in the gravitation field of two triaxial rigid bodies
• Periodic orbits generated by Lagrangian solutions of the restricted three body problem when one of the primaries is an oblate body
• Effect of perturbations on the non linear stability of triangular points in the restricted three-body problem with variable mass
• Stability of the triangular points under combined effects of radiation and oblateness in the restricted three-body problem
• Existence of libration points in the restricted problem of three bodies with radiation pressure
• Eulerian libration points of restricted problem of three oblate spheroids
• Nonlinear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblateness
• Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies
• Dynamics of a dumbbell satellite under the zonal harmonic effect of an oblate body
• A First Order Automated Lie Transform
• Effect of perturbed potentials on the stability of libration points in the restricted problem
• Effect of perturbations in Coriolis and centrifugal forces on the stability of libration points in the restricted problem
• A case of commensurability induced by oblateness
• Solar System Dynamics
• Existence and stability of libration points in the restricted three-body problem when the primaries are triaxial rigid bodies

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