The Smaller Alignment Index (SALI) applied in a study of stellar orbits in barred galaxies potential models using the LP-VIcode

Caritá, Lucas Antonio; Rodrigues, I.; Puerari, I.; Schiavo, Luiz Eduardo Camargo Aranha

doi:10.1016/j.newast.2017.10.005

Cited by 2 publications

(2 citation statements)

References 37 publications

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“…We invite the reader to know our work [3] where we use all the equations shown in this text to study the influence of galactic bars on the stability of the orbits supported by them. In order to write this study, all these equations were exhaustively tested.…”

Section: The Partial Derivativesmentioning

confidence: 99%

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Explicit Second Partial Derivatives of the Ferrers Potential

2017

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Abstract:One of the algebraic potentials most commonly used to represent a galactic bar in the stellar orbits integration is the Ferrers potential. Some researchers may be inclined to implement a numerical differentiation for it in the motion or variational equations, since it can be very laborious to calculate such derivatives algebraically, despite a possible polynomial form, and there are no publications showing the second partial explicit derivatives. The purpose of this work is to present the explicit algebraic form of the partial derivatives of the Ferrers potential using the simplifications suggested by Pfenniger.

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Section: The Partial Derivativesmentioning

confidence: 99%

“…The Ferrers potential has a great fidelity in the representation of the galactic bar and it has been extensively used in many works (e.g., [3][4][5][6]). However it does not have a friendly mathematical constitution to work analytically.…”

Section: Introductionmentioning

confidence: 99%

Explicit Second Partial Derivatives of the Ferrers Potential

2017

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Chaos in Growing Bar Models

Caritá

Rodrigues

Puerari

et al. 2019

RMxAA

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This paper aims to verify the influence of the bar, its pattern speed (Ω_b) and its rate of growth on the stability of the orbits in gravitational potentials. We studied the nature of the orbits in potentials representing galaxies with growing bars, where a linear growth was assumed. In order to study the stability of the orbits we applied SALI. We studied six models in which the bar dimensions were fixed, but we varied their pattern speed and time of bar growth. We found that when the bar growth is faster, more chaos is generated and we also noted that the higher the Ω_b, the greater its influence on the system dynamics. The initial positions of the orbits that became chaotic were located in a well-defined ring-like region, confined between the ILR and CR resonances. There was also an indication that the retrograde orbits, although much scarcer, are more conductive to chaos when they do exist.

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The Smaller Alignment Index (SALI) applied in a study of stellar orbits in barred galaxies potential models using the LP-VIcode

Cited by 2 publications

References 37 publications

Explicit Second Partial Derivatives of the Ferrers Potential

Explicit Second Partial Derivatives of the Ferrers Potential

Chaos in Growing Bar Models

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