He was a member of the first scientific astronomical society in Russia — the Nizhny Novgorod Physics and Astronomy enthusiasts.

In November 1915, after defending his thesis on "The structure of the tail of the 1910 comet", Pokrovsky received a doctorate in astronomy and geodesy from Moscow University.

He was also elected as a Chairman of the Commission for the construction of a planetariums in Ukraine under the Academy of Sciences of the Ukrainian SSR.

[5] In 1942 Pokrovsky headed a delegation of scientists and pedagogs from Odessa to Bucharest, where they met with the widow of Ion Inculet,Roxana Basota- Cantacuzino.

In the arrest warrant, the main charge was the fact that Pokrovsky had read a lecture entitled "The destruction of the Pulkovo Observatory by the Bolsheviks".

[7] K. D. Pokrovsky developed methods of celestial mechanics for determining the orbits of cloud formations in comet tails.