Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies

DOI10.1007/s10509-012-1093-7zbMath1284.70036OpenAlexW2009085114MaRDI QIDQ2443580

Elbaz I. Abouelmagd, S. M. El-Shaboury

Publication date: 8 April 2014

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

Full work available at URL: https://doi.org/10.1007/s10509-012-1093-7

zbMATH Keywords

stabilityaxisymmetricoblatenesssolar radiation pressurerestricted three- body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (15)

Variable mass motion in the Hénon–Heiles system ⋮ On the stability of the triangular points in the relativistic R3BP with a bigger triaxial primary ⋮ On `out of plane' equilibrium points in the elliptic restricted three-body problem with radiating and oblate primaries ⋮ 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 ⋮ Stability of the triangular points under combined effects of radiation and oblateness in the restricted three-body problem ⋮ Unnamed Item ⋮ On the perturbed restricted three-body problem ⋮ Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect ⋮ Effect of oblateness of an artificial satellite on the orbits around the triangular points of the Earth-Moon system in the axisymmetric ER3BP ⋮ Dynamics of Infinitesimal Particle in the Framework of Photo-Gravitational Restricted Three-Body Problem ⋮ Dynamics of a dumbbell satellite under the zonal harmonic effect of an oblate body ⋮ The effect of perturbations on the circular restricted four-body problem with variable masses ⋮ Libration points in the restricted three-body problem: Euler angles, existence and stability

Cites Work

• Unnamed Item
• Combined effects of perturbations, radiation, and oblateness on the nonlinear stability of triangular points in the restricted three-body problem
• The libration points of axisymmetric satellite in the gravitation field of two triaxial rigid bodies
• Existence of libration points in the restricted problem of three bodies with radiation pressure
• Combined effects of perturbations, radiation and oblateness on the periodic orbits in the restricted three-body problem
• Eulerian libration points of restricted problem of three oblate spheroids
• Periodic orbits in the restricted three-body problem with radiation pressure
• Effect of perturbed potentials on the stability of libration points in the restricted problem
• Solar System Dynamics
• The restricted 3-body problem with radiation pressure
• BURRAU'S PROBLEM OF THREE BODIES

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