Deriving reliable fundamental parameters of PMS-rich star clusters affected by differential reddening

TL;DR

This paper introduces a comprehensive method to accurately determine fundamental parameters of young, pre-main sequence-rich star clusters affected by differential reddening, using simulated models and Hess diagram residual minimization.

Contribution

It develops a brute-force approach to derive cluster parameters by modeling differential reddening, age spread, and unresolved binaries, reducing subjectivity in parameter estimation.

Findings

Effective in deriving cluster age, reddening, and distance.

Unresolved binaries minimally affect age and reddening estimates.

Significant impact of binaries on mass and distance calculations.

Abstract

We present an approach that improves the search for reliable astrophysical parameters (e.g. age, mass, and distance) of differentially-reddened, pre-main sequence-rich star clusters. It involves simulating conditions related to the early-cluster phases, in particular the differential and foreground reddenings, and internal age spread. Given the loose constraints imposed by these factors, the derivation of parameters based only on photometry may be uncertain, especially for the poorly-populated clusters. We consider a wide range of cluster {\em (i)} mass and {\em (ii)} age, and different values of {\em (iii)} distance modulus, {\em (iv)} differential and {\em (v)} foreground reddenings. Photometric errors and their relation with magnitude are also taken into account. We also investigate how the presence of unresolved binaries affect the derived parameters. For each set of {\em (i)} - {\em (v)} we build the corresponding model Hess diagram, and compute the root mean squared residual with respect to the observed Hess diagram. The parameters that produce the minimum residuals between model and observed Hess diagrams are searched by exploring the full parameter space of {\em (i)} - {\em (v)} by means of {\em brute force}, which may be time consuming but efficient. Control tests show that an adequate convergence is achieved allowing for solutions with residuals 10% higher than the absolute minimum. Compared to a colour-magnitude diagram containing only single stars, the presence of 100% of unresolved binaries has little effect on cluster age, foreground and differential reddenings; significant differences show up in the cluster mass and distance from the Sun. Our approach shows to be successful in minimising the subjectiveness when deriving fundamental parameters of young star clusters.