2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/10962Star clusters with a high central density contain an ecological network of evolving binaries, affected by interactions with passing stars, while in turn affecting the energy budget of the cluster as a whole by giving off binding energy. This is the first paper in a series aimed at providing the tools for increasingly realistic simulations of these ecological networks.14 pages including 7 figures, Accepted for publication in Astronomy and AstrophysicsAstrophysicstext