Orbit classification in the meridional plane of a disk galaxy model with a spherical nucleus

Zotos, Euaggelos E.; Carpintero, D. D.

doi:10.1007/s10569-013-9500-0

Cited by 38 publications

(81 citation statements)

References 33 publications

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“…This potential has been studied by many authors, see for instance Deprit and Elipe [4], Caranicolas [3], Elipe and Deprit [5], Elipe [6], Arribas et al [2], Zotos [10,11,12,13], Zotos and Caranicolas [14], Zotos and Carpintero [15], ...…”

Section: Introduction and Statement Of The Main Resultsmentioning

confidence: 99%

New families of periodic orbits for a galactic potential

Bustos

Guirao

Llibre

et al. 2016

Chaos, Solitons & Fractals

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Section: Introduction and Statement Of The Main Resultsmentioning

confidence: 99%

New families of periodic orbits for a galactic potential

Bustos

Guirao

Llibre

et al. 2016

Chaos, Solitons & Fractals

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“…Varying the values of all the involved parameters of the dynamical system, as well as the two global isolating integrals of the orbits, namely the angular momentum and the energy, we found that the level of chaos and the distribution in regular families is indeed very dependent on all of these parameters. Here we must point out that the present article belongs to a series of papers (Zotos & Carpintero 2013;Zotos & Caranicolas 2013a,b) that have as their main objective the orbit classification (not only regular versus chaotic, but also separating regular orbits into different regular families) in different galactic gravitational potentials. Thus, we decided to follow a similar structure and the same numerical approach in all of them.…”

Section: Discussionmentioning

confidence: 99%

“…A similar model was used in Helmi (2004) for numerical simulations of the evolution of a system like the Sagittarius dSph in a variety of galactic potentials varying the flattening parameter. In the current research, we use the results of Paper I as a starting point and we try to explore how all the involved parameters influence the overall orbital structure, not only distinguishing between order and chaos, but taking a step further by classifying and distributing all regular orbits into different families (e.g., Zotos & Carpintero 2013;Zotos & Caranicolas 2013a,b).…”

Section: Introductionmentioning

confidence: 99%

Classifying orbits in galaxy models with a prolate or an oblate dark matter halo component

Zotos

2014

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Aims. The distinction between regular and chaotic motion in galaxies is undoubtedly an issue of paramount importance. We explore the nature of orbits of stars moving in the meridional plane (R, z) of an axially symmetric galactic model with a disk, a spherical nucleus, and a flat biaxial dark matter halo component. In particular, we study the influence of all the involved parameters of the dynamical system by computing both the percentage of chaotic orbits and the percentages of orbits of the main regular resonant families in each case. Methods. To distinguish between ordered and chaotic motion, we use the smaller alignment index (SALI) method to extensive samples of orbits by numerically integrating the equations of motion as well as the variational equations. Moreover, a method based on the concept of spectral dynamics that utilizes the Fourier transform of the time series of each coordinate is used to identify the various families of regular orbits and also to recognize the secondary resonances that bifurcate from them. Two cases are studied for every parameter: (i) the case where the halo component is prolate and (ii) the case where an oblate dark halo is present. Results. Our numerical investigation indicates that all the dynamical quantities affect, more or less, the overall orbital structure. It was observed that the mass of the nucleus, the halo flattening parameter, the scale length of the halo, the angular momentum, and the orbital energy are the most influential quantities, while the effect of all the other parameters is much weaker. It was also found that all the parameters corresponding to the disk only have a minor influence on the nature of orbits. Furthermore, some other quantities, such as the minimum distance to the origin, the horizontal, and the vertical force, were tested as potential chaos detectors. Our analysis revealed that only general information can be obtained from these quantities. We also compared our results with early related work.

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“…2 all the initial conditions of the non-escaping regular orbits. Then using the numerical algorithm Taxon, introduced in Carpintero & Aguilar (1998) and upgraded in Zotos & Carpintero (2013), we reclassified all the regular orbits into the main orbital families. According to panel (e) of Fig.…”

Section: Orbital Dynamicsmentioning

confidence: 99%

Orbital and escape dynamics in barred galaxies – III. The 3D system: correlations between the basins of escape and the NHIMs

Zotos

Jung

2017

Monthly Notices of the Royal Astronomical Society

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The escape dynamics of the stars in a barred galaxy composed of a spherically symmetric central nucleus, a bar, a flat thin disk and a dark matter halo component is investigated by using a realistic three degrees of freedom (3-dof) dynamical model. Modern colour-coded diagrams are used for distinguishing between bounded and escaping motion. In addition, the smaller alignment index (SALI) method is deployed for determining the regular, sticky or chaotic nature of bounded orbits. We reveal the basins of escape corresponding to the escape through the two symmetrical escape channels around the Lagrange points L 2 and L 3 and also we relate them with the corresponding distribution of the escape times of the orbits. Furthermore, we demonstrate how the stable manifolds, around the index-1 saddle points, accurately define the fractal basin boundaries observed in the colour-coded diagrams. The development scenario of the fundamental vertical Lyapunov periodic orbit is thoroughly explored for obtaining a more complete view of the unfolding of the singular behaviour of the dynamics at the cusp values of the parameters. Finally, we examine how the combination of the most important parameters of the bar (such as the semi-major axis and the angular velocity) influences the observed stellar structures (rings and spirals) which are formed by escaping stars guided by the invariant manifolds near the saddle points.

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Orbit classification in the meridional plane of a disk galaxy model with a spherical nucleus

Cited by 38 publications

References 33 publications

New families of periodic orbits for a galactic potential

New families of periodic orbits for a galactic potential

Classifying orbits in galaxy models with a prolate or an oblate dark matter halo component

Orbital and escape dynamics in barred galaxies – III. The 3D system: correlations between the basins of escape and the NHIMs

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