English

How do binaries affect the derived dynamical mass of a star cluster?

Astrophysics 2009-12-04 v1

Abstract

The dynamical mass of a star cluster can be derived from the virial theorem, using the measured half-mass radius and line-of-sight velocity dispersion of the cluster. However, this dynamical mass may be a significant overestimation of the cluster mass if the contribution of the binary orbital motion is not taken into account. In these proceedings we describe the mass overestimation as a function of cluster properties and binary population properties, and briefly touch the issue of selection effects. We find that for clusters with a measured velocity dispersion of sigma > 10 km/s the presence of binaries does not affect the dynamical mass significantly. For clusters with sigma < 1 km/s (i.e., low-density clusters), the contribution of binaries to sigma is significant, and may result in a major dynamical mass overestimation. The presence of binaries may introduce a downward shift of Delta log(L/Mdyn) = 0.05-0.4 in the log(L/Mdyn) vs. age diagram.

Keywords

Cite

@article{arxiv.0801.3941,
  title  = {How do binaries affect the derived dynamical mass of a star cluster?},
  author = {M. B. N. Kouwenhoven and R. de Grijs},
  journal= {arXiv preprint arXiv:0801.3941},
  year   = {2009}
}

Comments

6 pages, 5 figures, to appear in ``Young Massive Star Clusters - Initial Conditions and Environments'', 2008, Astrophysics & Space Science, eds. E. Perez, R. de Grijs, R. M. Gonzalez Delgado

R2 v1 2026-06-21T10:06:30.120Z