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Resultats globals: 5 registres trobats en 0.02 segons.
Articles, 5 registres trobats
Articles 5 registres trobats  
1.
11 p, 296.4 KB On the Periodic Orbits of the Perturbed Two- and Three-Body Problems / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics. Astronomy Department (Egypt)) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies. Thus, we have proved that the first and second types of periodic orbits of the rotating Kepler problem can persist for all perturbed two-body and circular restricted three-body problems when the perturbation forces are conservative or the perturbed motion has its own extended Jacobian integral.
2023 - 10.3390/galaxies11020058
Galaxies, Vol. 11, Issue 2 (April 2023) , art. 58  
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2.
11 p, 301.0 KB Periodic Orbits of Quantised Restricted Three-Body Problem / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics . Astronomy Department) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches to identify the first (second) periodic-orbit types. [...]
2023 - 10.3390/universe9030149
Universe, Vol. 9, Issue 3 (March 2023) , art. 149  
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3.
10 p, 794.8 KB The dynamics of the relativistic Kepler problem / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics. Astronomy Department (Egypt)) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We deal with the Hamiltonian system (HS) provided by the correction given by the special relativity to the motion of the two-body problem, or by the first order correction to this problem coming from the general relativity. [...]
2020 - 10.1016/j.rinp.2020.103406
Results in Physics, Vol. 19 (December 2020) , art. 103406
2 documents
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4.
14 p, 314.2 KB Periodic orbits for the perturbed planar circular restricted 3-body problem / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics (Egipte). Astronomy Department) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We characterize when the classical first and second kind of periodic orbits of the planar circular restricted 3-body problem obtained by Poincaré, can be extended to perturbed planar circular restricted 3-body problems. [...]
2019 - 10.3934/dcdsb.2019003
Discrete and continuous dynamical systems. Series B, Vol. 24, Issue 3 (March 2019) , p. 1007-1020  
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5.
9 p, 300.5 KB Periodic orbits of the planar anisotropic Kepler problem / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics (Egipte). Astronomy Department) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
In this paper we prove that at every energy level the anisotropic problem with small anisotropy has two periodic orbits which bifurcate from elliptic orbits of the Kepler problem with high eccentricity. [...]
2017 - 10.1142/S0218127417500390
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 3 (2017) , p. 1750039  
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