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Abstract <p>In the paper, orbital dynamics, regular or chaotic, of globular clusters (GCs) in the central region of the Galaxy, which is subject to the greatest influence of the rotating bar, has been studied. Such methods for determining chaos as Poincaré sections and spectral methods have been compared. The relationship between the Poincaré sections and the spectral characteristics of the orbits has been estimated. The sample includes 45 globular clusters in the central region of the Galaxy with a radius of 3.5 kpc. To form the 6D-phase space required for integrating the orbits, the most accurate astrometric data to date from the Gaia satellite, as well as new refined average distances, have been used. The following, most realistic, bar parameters have been adopted: the mass is <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{10}^{{10}}}{\kern 1pt} {{M}_{ \odot }}\)</EquationSource> <!--AstEng2570232Bajkova-m1--> </InlineEquation>, the length of the major semi-axis of the bar model in the form of a triaxial ellipsoid is 5 kpc, the rotation angle of the bar axis is <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(25^\circ \)</EquationSource> <!--AstEng2570232Bajkova-m2--> </InlineEquation>, and the rotation velocity is 40 km/s/kpc. The result of the study is that a 100% correlation between the classification by Poincaré sections and the spectral characteristics of the orbits has been established. Consequently, the classification by Poincaré sections can be replaced by a more visual analysis of the amplitude spectra of the orbits. Thus, two lists of GCs: with regular and chaotic dynamics have been compiled. The GCs with varying degrees of orbital chaos have separately been distinguish.</p>

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Relationship between Poincaré Sections and Spectral Characteristics of Orbits of Globular Clusters in the Central Region of the Galaxy

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. T. Bajkova,
  • A. A. Smirnov,
  • V. V. Bobylev

摘要

Abstract

In the paper, orbital dynamics, regular or chaotic, of globular clusters (GCs) in the central region of the Galaxy, which is subject to the greatest influence of the rotating bar, has been studied. Such methods for determining chaos as Poincaré sections and spectral methods have been compared. The relationship between the Poincaré sections and the spectral characteristics of the orbits has been estimated. The sample includes 45 globular clusters in the central region of the Galaxy with a radius of 3.5 kpc. To form the 6D-phase space required for integrating the orbits, the most accurate astrometric data to date from the Gaia satellite, as well as new refined average distances, have been used. The following, most realistic, bar parameters have been adopted: the mass is \({{10}^{{10}}}{\kern 1pt} {{M}_{ \odot }}\) , the length of the major semi-axis of the bar model in the form of a triaxial ellipsoid is 5 kpc, the rotation angle of the bar axis is \(25^\circ \) , and the rotation velocity is 40 km/s/kpc. The result of the study is that a 100% correlation between the classification by Poincaré sections and the spectral characteristics of the orbits has been established. Consequently, the classification by Poincaré sections can be replaced by a more visual analysis of the amplitude spectra of the orbits. Thus, two lists of GCs: with regular and chaotic dynamics have been compiled. The GCs with varying degrees of orbital chaos have separately been distinguish.