Issue |
A&A
Volume 685, May 2024
|
|
---|---|---|
Article Number | A12 | |
Number of page(s) | 3 | |
Section | Astrophysical processes | |
DOI | https://doi.org/10.1051/0004-6361/202348361 | |
Published online | 30 April 2024 |
Individual chaotic behaviour of the S-stars in the Galactic centre
1
Leiden Observatory, Leiden University, 2300 RA Leiden, The Netherlands
e-mail: beckers@strw.leidenuniv.nl; cpoppelaars@strw.leidenuniv.nl
2
NASA Ames Research Center, Moffett Field, CA 94035, USA
Received:
23
October
2023
Accepted:
15
February
2024
Located at the core of the Galactic centre, the S-star cluster serves as a remarkable illustration of chaos in dynamical systems. The long-term chaotic behaviour of this system can be studied with gravitational N-body simulations. By applying a small perturbation to the initial position of star S5, we can compare the evolution of this system to its unperturbed evolution. This results in two solutions that diverge exponentially, defined by the separation in position space δr, with an average Lyapunov timescale of ∼420 yr, corresponding to the largest positive Lyapunov exponent. Even though the general trend of the chaotic evolution is governed in part by the supermassive black hole Sagittarius A∗ (Sgr A∗), individual differences between the stars can be noted in the behaviour of their phase-space curves. We present an analysis of the individual behaviour of the stars in this Newtonian chaotic dynamical system. The individuality of their behaviour is evident from offsets in the position space separation curves of the S-stars and the black hole. We propose that the offsets originate from the initial orbital elements of the S-stars, where Sgr A∗ is considered in one of the focal points of the Keplerian orbits. Methods were considered to find a relation between these elements and the separation in position space. Symbolic regression provides the clearest diagnostics for finding an interpretable expression for the problem. Our symbolic regression model indicates that ⟨δr⟩ ∝ e2.3, implying that the time-averaged individual separation in position space increases rapidly with the initial eccentricity of the S-stars.
Key words: chaos / methods: numerical / celestial mechanics / stars: black holes / stars: fundamental parameters / Galaxy: center
© The Authors 2024
Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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