# Powerful CMD: A Tool for Colour-Magnitude Diagram Studies

## TL;DR

Powerful CMD is a new tool based on an advanced stellar population synthesis model that enables comprehensive analysis of star cluster properties from colour-magnitude diagrams, including distance, metallicity, age, and star formation history.

## Contribution

This paper introduces Powerful CMD, a novel tool that integrates binary and rotating stars into CMD analysis, improving parameter estimation accuracy for star clusters.

## Key findings

- Successfully determined parameters for multiple star clusters.
- Inclusion of binaries affects estimated colour excess.
- Tool is especially effective with HST data.

## Abstract

We present a new tool for colour-magnitude diagram (CMD) studies, $Powerful~CMD$. This tool is built on the basis of the advanced stellar population synthesis (ASPS) model, in which single stars, binary stars, rotating stars, and star formation history have been taken into account. Via $Powerful~CMD$, the distance modulus, colour excess, metallicity, age, binary fraction, rotating star fraction, and star formation history of star clusters can be determined simultaneously from observed CMDs. The new tool is tested via both simulated and real star clusters. Five parameters of clusters NGC6362, NGC6652, NGC6838 and M67 are determined and compared to other works. It is shown that this tool is useful for CMD studies, in particular for those with the data of the Hubble Space Telescope (HST). Moreover, we find that the inclusion of binaries in theoretical stellar population models may lead to smaller colour excess compared to the case of single star population models.