The Celestial Mechanics research group has been active since the foundation of the Jaume I University. The group's activity consists of research activities in celestial reference systems, with particular emphasis on corrections to stellar catalogs and methods for correcting the orbits of minor planets. The study of celestial figures in uniform rotation has also been addressed, both in the case of isolated bodies and in the case of nearby binary systems. This group has also addressed the study of reparameterizations in orbital motion, defining new temporal variables in the two-body problem, especially in the elliptical case. These have been studied systematically, grouping most of them into families dependent on one or several parameters, with a simple geometric interpretation based on the distance to the primary and the curvature. Recently, the study of the movement of highly eccentric comets has also been addressed, which presents essential problems in their numerical integration. Within the activities of this group, numerous research projects, doctoral theses, and research projects founded by several institutions have been carried out. The group actively fosters collaborations with researchers from other institutions, enhancing the collective knowledge in the field. Notable among these collaborations is the one with the Polytechnic University of Valencia.