Determination of Absorption by \(\boldsymbol{Q}\)-Method for \(\boldsymbol{JHK}\) Photometry in Embedded Clusters

Abstract

In this paper, we describe the absorption determination with the \(Q\)-method for the 2MASS photometry (\(J\), \(H\), and \(K_{S}\) bands). Using the Pleiades and Praesepe stars, we determine the zero-reddening sequence for different values of the color excess ratios \(E(J-H)/E(H-K_{S})\). In this paper, we consider a sequence consisting of two segments, that leads to an uncertainty in the determining of absorption—one value of the \(Q\) parameter corresponds to two values of the non-reddened color index. We propose a method to select a segment of the zero-reddening sequence for the main sequence stars of the cluster. The method is based on the difference in the position of stars of different segments in the cluster luminosity function. To test the proposed method, we simulate the luminosity functions of clusters with the non-uniform absorption distribution in the cluster region. With the typical absorption values in embedded clusters, about 10\(\%\) of stars are erroneously assigned, but in some cases this fraction can reach 20\(\%\). Thus, despite the fact that irregular absorption distorts the distribution of stars of different segments on the cluster luminosity function, our method allows one to separate stars with an error of no more than 20\(\%\).