Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect

DOI10.2478/AMNS.2020.2.00022OpenAlexW3068215654MaRDI QIDQ2690761

Kamel A. K. Gadallah, Elbaz I. Abouelmagd, Inal Adhame Hassan, Hadia H. Selim, Ahmed A. Abozaid

Publication date: 17 March 2023

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

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00022

zbMATH Keywords

periodic orbitslinear stabilityasteroids belt effectrestricted three bodies problem

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

• Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem
• 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
• On the Chermnykh-like problems. II. The equilibrium points
• Stability of the triangular points under combined effects of radiation and oblateness in the restricted three-body problem
• The effect of radiation pressure on the equilibrium points in the generalized photogravitational restricted three body problem
• Families of asymmetric periodic orbits in the restricted three-body problem
• Periodic orbits in the restricted three-body problem with radiation pressure
• Periodic orbits for the perturbed planar circular restricted 3-body problem
• Libration points in the restricted three-body problem: Euler angles, existence and stability
• The perturbed photogravitational restricted three-body problem: analysis of resonant periodic orbits
• Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies
• Motion in the generalized restricted three-body problem
• A First Order Automated Lie Transform
• Periodic orbits around the collinear libration points
• BIFURCATION FOR DYNAMICAL SYSTEMS OF PLANET–BELT INTERACTION
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• Secular solutions at triangular equilibrium point in the generalized photogravitational restricted three-body problem

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