  Here we construct new solution for the Einstein equations -- some analog of
the Schwarzschild metric in anti--de Sitter--Beltrami space in the $c\to
\infty$ limit ($R$-space). In this case we derive an adiabatic invariant for
finite movement of the massive point particle and separate variables
Hamilton--Jacobi equation. Quasi orbital motion is analyzed and its radius time
dependence is obtained.
