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After a first registering of GW radiation from binary BH coalescence practically all non Newtonian effects predicted by GR have got its experimental confirmation. Further development of experimental gravitation is now associated with a more precise measurement of the same effects to check a border of GR validity and to search for a new physics. It is believed that such experiments must be carried in a deep underground or in the board of cosmic apparatus to depress influence of environmental noises. Common feature of the experiments consists in registration of space-time curvature variations produced by small changes of weak gravity fields. Hope of increasing accuracy of measurement at present is associated with the new instrumentation based on optical frequency standards and matter wave interferometers admitting the gain in three order of value of space -time intervals.In this talk we put attention on gravitational experiments are carried out at present in RAS: i) an original underground gravitational detector OGRAN and ii) the gravitational red shift test with the Earth satellite. In the final part we discuss briefly a new possibility of gravity gradient measurement using the new instrument - the atomic fountain gradiometer.