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In this paper we develop a new semianalytical approach to quantifying thedensity profile of outer dark matter halos, motivated by the remarkableuniversality those profiles, for a wide range of dynamical parameters of theinner halos. We show that our minimalist model is robust under significantvariations of its input parameters around the currently known values and weidentify the turnaround radius as the most important scale of the problem.Based on that observation, we argue that the turnaround radius accuratelyrepresents the transition to the external density profile, and we provide auniversal test based on geometrical characteristics of the outer profile as aproposal for measuring the turnaround radius of structures.

Getting the tiger by the tail: Probing the turnaround radius of structures with outer halo density profiles