Young stellar cluster dilution near supermassive black holes: the impact of Vector Resonant Relaxation on neighbour separation

Abstract

We investigate the rate of orbital orientation dilution of young stellar clusters in the vicinity of supermassive black holes. Within the framework of vector resonant relaxation, we predict the time evolution of the two-point correlation function of the stellar orbital plane orientations as a function of their initial angular separation and diversity in orbital parameters (semi-major axis, eccentricity). As expected, the larger the spread in initial orientations and orbital parameters, the more efficient the dilution of a given set of co-eval stars, with a characteristic timescale set up by the coherence time of the background potential fluctuations. A Markovian prescription which matches numerical simulations allows us to efficiently probe the underlying kinematic properties of the unresolved nucleus when requesting consistency with a given dilution efficiency, imposed by the observed stellar disc within the one arcsecond of Sgr A*. As a proof of concept, we compute maps of constant dilution times as a function of the semi major axis cusp index and fraction of intermediate mass black holes in the old background stellar cluster. This computation suggests that vector resonant relaxation should prove useful in this context since it impacts orientations on timescales comparable to the stars' age.

20 pages, 16 figures, submitted to MNRAS

References in corpus (9)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Magnus expansion and some of its applications
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• An Update on Monitoring Stellar Orbits in the Galactic Center
• Twelve years of spectroscopic monitoring in the Galactic Center: the closest look at S-stars near the black hole
• A numerical study of vector resonant relaxation
• A new Fokker-Planck approach for relaxation-driven evolution of galactic nuclei
• Order-disorder phase transition in black-hole star clusters -- III. A mono-energetic cluster
• Envisioning the next decade of Galactic Center science: a laboratory for the study of the physics and astrophysics of supermassive black holes

Cited by in corpus (5)

• The young stars in the Galactic Center
• A numerical study of stellar discs in galactic nuclei
• Mapping the Galactic centre's dark cluster via Resonant Relaxation
• Orbital alignment and mass segregation in galactic nuclei via vector resonant relaxation
• Resonant Dynamical Friction in Nuclear Star Clusters: Rapid Alignment of an Intermediate-mass Black Hole with a Stellar Disk