The principal astrophysical parameters of the open clusters Gulliver 18 and Gulliver 58 determined using Gaia EDR3 data

A photometric and astrometric study of the two open star clusters Gulliver 18 and Gulliver 58 was carried out for the first time using the early third data release of the Gaia space observatory (Gaia-EDR3). By studying the proper motions, parallaxes, and color-magnitude diagrams of the two clusters, we determined their actual cluster membership. Therefore, ages, color excesses, and heliocentric distances of the clusters were determined. The luminosity function, mass function, total mass, mass segregation, and relaxation time of Gulliver 18 and Gulliver 58 were estimated as well.