Dynamics of pairwise motions
Abstract
We derive a simple closed-form expression, relating (r) -- the mean relative velocity of pairs of galaxies at fixed separation r -- to the two-point correlation function of mass density fluctuations, (r). We compare our analytic model for (r) with N-body simulations, and find excellent agreement in the entire dynamical range probed by the simulations (0.1 1000). Our results can be used to estimate the cosmological density parameter, , directly from redshift-distance surveys, like Mark III.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.