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In this paper we calculate quantitative characteristics of basic geometricand kinematic properties of the Standard Cosmological Model ($\Lambda$CDM).Using equations of Friedman uniform cosmological models we derive equationscharacterizing a $\Lambda$CDM, which describes the most appropriate realuniverse. The equations take into account the effects of radiation andultra-relativistic neutrinos. We show that the universe at very early and latestages can be described to sufficient accuracy by simple formulas. We derivemoments when densities of gravitational components of the universe becomeequal, when they contribute equally to the gravitational force, when theaccelerating expansion of space starts, and several others. The distance to theexpanding spherical horizon and its acceleration are determined. Terms of thehorizon, second inflation, and second horizon are explained. The remote futureof the universe and the opportunity in principle of connection withextraterrestrial civilizations are discussed.

Basic geometric and kinematic features of the Standard Cosmological Model