  Cosmic repulsion represented by a small positive value of the cosmological
constant changes significantly properties of central gravitational fields at
large distances, leading to existence of a static (or turnaround) radius where
gravitational attraction of a center is just balanced by cosmic repulsion.
Analyzing behavior of radial timelike geodesics in the Schwarzschild-de Sitter
spacetime near its static radius we show that the particles with specific
energy close to unity have tendency to slow down and cluster just below the
static radius, forming clumps which, subsequently, start to expand uniformly
due to cosmic repulsion. For central masses of $(10^6$-$10^{11}){\rm
M_{\odot}}$ and current value of the cosmological constant $1.1\times
10^{-52}\,{\rm m^{-2}}$, this phenomenon takes place at distances of tens to
hundreds of kiloparsecs from the center, being comparable with distances in
which huge radio-lobes from some active galaxies were observed.
