Create an HR diagram using Gaia DR3 data

This project must be done by individuals.

Your job is to create an HR diagram (or color-magnitude diagram) of an open cluster, based upon measurements in the Gaia DR3 archive. You must query the archive at https://gea.esac.esa.int/archive/ using the ADQL interface in order to extract information on a set of stars. The set will contain both stars which are really members of the open cluster, and stars which are foreground or background contaminants. Part of your job will be to figure out how to choose the "good" stars from this large set.

The target for this exercise is the open cluster M67.

create an ADQL query which will select stars within a 1-degree radius of M67 with magnitudes less than 18 and values of parallax_over_error greater than 10. Submit a copy of this query in your report.
run the query and save the results to your computer. How many stars are in this initial dataset?
make an first HR diagram by plotting the (BP - RP) color on the horizontal axis and the apparent G-band magnitude on the vertical axis. Comment on the features in this diagram.
figure out a method (or methods) which will pick out stars which are really members of the cluster from the initial set. Describe your selection criteria explicitly, providing justification for them. If it seems reasonable, create graphs to illustrate the effect of these additional selection criteria on the sample. How many stars remain in the "trimmed" dataset?
make a second HR diagram by plotting only the stars in this "trimmed" dataset. Again, comment on features in this diagram.
use your revised diagram to estimate a distance to the cluster. Explain your calculations.
compare your result to some value from the recent literature

Print out your work, including all figures, on paper, and hand it in.