  In this paper we calculate quantitative characteristics of basic geometric
and kinematic properties of the Standard Cosmological Model ($\Lambda$CDM).
Using equations of Friedman uniform cosmological models we derive equations
characterizing a $\Lambda$CDM, which describes the most appropriate real
universe. The equations take into account the effects of radiation and
ultra-relativistic neutrinos. We show that the universe at very early and late
stages can be described to sufficient accuracy by simple formulas. We derive
moments when densities of gravitational components of the universe become
equal, when they contribute equally to the gravitational force, when the
accelerating expansion of space starts, and several others. The distance to the
expanding spherical horizon and its acceleration are determined. Terms of the
horizon, second inflation, and second horizon are explained. The remote future
of the universe and the opportunity in principle of connection with
extraterrestrial civilizations are discussed.
