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arXiv 2005.03037astro-ph.SRastro-ph.GA
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星团动力学质量测定中的双星效应

Effect of binarity in star cluster dynamical mass determination

Sara Rastello, Giovanni Carraro, Roberto Capuzzo-Dolcetta

摘要:

在本文中,我们探讨的影响,存在的一小部分双星在确定一个星团质量通过维里定理。为了以准确和一致的方式实现这一目标,我们使用直接求和,高精度,代码NBODY7运行了一组模拟。通过这套模拟,我们能够量化的高估疏散星团类模型的动力学质量时,直接应用维里定理使用可用的位置和径向速度测量。当然,由二元“加热”对测得的速度色散的贡献引起的质量膨胀取决于初始二元分数$f_{b0}$及其随后的动力学演化。对于在$8\% - 42\%$范围内的$f_{b}$(发展到1.5 Gyr),使用实验探测估计的速度分散对质量的高估可达45倍。我们提供了一个有用的拟合公式来纠正的存在的双星的动力学质量测定,并强调如何忽视双星在恒星系统中的作用可能会导致错误的结论,其总质量预算。如果这一趋势仍然适用于较大的系统,如矮球状星系,这仍然是遥不可及的高精度动力学模拟考虑到他们的双星,这将意味着一个不正确的高估其暗物质含量,通过现有的速度色散测量推断。

英文摘要:

In this paper we explore the effects that the presence of a fraction of binary stars has in the determination of a star cluster mass via the virial theorem. To reach this aim in an accurate and consistent way, we run a set of simulations using the direct summation, high precision, code NBODY7. By means of this suite of simulations we are able to quantify the overestimate of open-star-cluster-like models' dynamical masses when making a straight application of the virial theorem using available position and radial velocity measurements. The mass inflation caused by the binary 'heating' contribution to the measured velocity dispersion depends, of course, on the initial binary fraction, $f_{b0}$ and its following dynamical evolution. For an $f_{b}$ (evolved up to 1.5 Gyr) in the range $8\% - 42\%$ the overestimate of the mass done using experimentally sounding estimates for the velocity dispersion can be up to a factor 45. We provide a useful fitting formula to correct the dynamical mass determination for the presence of binaries, and underline how neglecting the role of binaries in stellar systems might lead to erroneous conclusions about their total mass budget. If this trend remains valid for larger systems like dwarf spheroidal galaxies, which are still far out of reach for high precision dynamical simulations taking account their binaries, it would imply an incorrect over-estimation of their dark matter content, as inferred by means of available velocity dispersion measurements.

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