2025A&A...699A..69B

Satellite galaxies endure powerful environmental tidal forces that drive mass stripping of their outer regions. Consequently, satellites located in central regions of galaxy clusters or groups, where the tidal field is strongest, are expected to retain their central dense regions while losing their outskirts. This process produces a spatial segregation in the mean mass density with the cluster-centric distance (the $ \bar{\rho}-r $ relation). To test this hypothesis, we combined semi-analytical satellite orbital models with cosmological galaxy simulations. We find that not only the mean total mass densities ($ \bar{\rho} $), but also the mean stellar mass densities ($ \bar{\rho}^{\star} $) of satellites exhibit this distance-dependent segregation ($ \bar{\rho}^{\star}\!\!-\!r $). The correlation traces the host's tidal field out to a characteristic transition radius at ℜ_⋆​ ≈ ​0.5 R_vir, beyond which the satellite population's density profile can have a slight increase or remain flat, reflecting the weakened tidal influence in the outskirts of galaxy clusters and beyond. We compare these predictions with observational data from satellites in the Virgo and Fornax galaxy clusters, as well as the Andromeda and Milky Way systems. Consistent trends in the satellite mean stellar mass densities are observed across these environments. Furthermore, the transition radius serves as a photometric diagnostic tool: it identifies regions where the stellar components of satellites underwent significant tidal processing and probes the gravitational field strength of the host halo.