| Years | Events | |
| 1939 | Corresponding member of the USSR Academy of Sciences | |
| 1940 | Member of the Communist Party of the Soviet Union (CPSU) | |
| 1943 | Full member (also Founding member) of the Armenian SSR Academy of Sciences | |
| 1944-1979 | Member of the Editorial Board of the "Astronomicheski Zhournal" of the USSR Acad. Sci. ("Soviet Astronomy", later "Astronomy Reports") | |
| 1946 | Member of the International Astronomical Union (IAU) | |
| 1947 | Honorary member of the American Astronomical Society (AAS) | |
| 1947-1972 | Member of the Committee on Lenin and USSR State prizes in the field of science and engineering at the USSR Council of Ministers | |
| 1948- | Member of the Central Committee of the Communist Party of the Armenian SSR | |
| 1953 | Full member of the USSR Academy of Sciences | |
| 1953 | Honorary member of the Royal Astronomical Society (Great Britain) | |
| 1953 | Corresponding member of the Royal Society (Academy of sciences) of Belgium (Liege) | |
| 1953 | Member of the Astronomical Society of the Pacific (ASP) | |
| 1955-1988 | Member of the Presidium of the USSR Acad. Sci. | |
| 1955 | Member of the Council on the coordination of works of Academies of Sciences of the Union Republics | |
| 1956 | Corresponding member of the Academy of Sciences of Austria | |
| 1956 | Member of the Committee on Lenin prizes | |
| 1957 | Corresponding member of the German Academy of Sciences in Berlin | |
| 1957 | Foreign honorary member of the American Academy of Arts and Sciences (Boston) | |
| 1958-1974 | Corresponding member of the Academy of Sciences of France | |
| 1959 | Member of the USA National Academy of Sciences | |
| 1959 | Foreign member of the German Academy of Naturalists ("Leopoldina") in Halle (GDR) | |
| 1959 | Honorary member of the Royal Astronomical Society of Canada | |
| 1967 | Member of the Italian National Academy of Sciences "Dei Lincei" | |
| 1969 | Honorary member of the London Royal Society (Great Britain Academy of Sciences) | |
| 1969 | Honorary member of the Cambridge Philosophical Society (England) | |
| 1969 | Honorary member of the Society of Theoretical and Applied Mechanics of Poland | |
| 1970 | Member of the Royal Netherlands Academy of Sciences | |
| 1971 | Member of the Royal Academy of Sciences of Denmark | |
| 1971 | Founding member and member of the Council of the USSR Philosophical Society | |
| 1972 | Honorary member of the Azerbaijan SSR Acad. Sci. | |
| 1973 | Honorary member of the Royal Academy of Sciences of Sweden | |
| 1973 | Honorary member of the New-York Academy of Sciences | |
| 1974 | Foreign member of the Academy of Sciences of Bulgaria | |
| 1974 | Foreign member of the Cordoba (Argentina) Academy of Sciences | |
| 1976 | Foreign member of the Academy of Sciences of India | |
| 1976- | Member of the Editorial Board of the "Reports of the USSR Academy of Sciences" | |
| 1978 | Honorary member of the Georgian SSR Academy of Sciences | |
| 1978 | Foreign member of the Academy of Sciences of Czechoslovakia | |
| 1978 | Corresponding member of the International Academy of Astronautics | |
| 1978 | Foreign member (Associe etranger) of the Academy of Sciences of France | |
| 1979 | Honorary member of the Academy of Sciences of Hungary | |
| 1981-1991 | Member of the Editorial Board of the international journal “Vistas in Astronomy” (“Astronomy Prospects”, UK) | |
| 1981-199? | Member of the Editorial Board of the journal "Nauka v SSSR" ("Science in the USSR") | |
| 1983 | Foreign member of the Academy of Sciences of Athens (Greece) | |
| 1984 | Foreign member of the Syrian Scientific Society (Academy of sciences) | |
| 1985 | Honorary member of the Society of History of Science of Syria | |
| 1992 | Full member of the European Academy (London) | |
| 1992 | Full member of the Academy of Creation (Russia) | |
| 1994 | Honorary member of the Armenian Philosophical Academy | |
| 1996 | Member of the Euro-Asian Astronomical Society (EAAS) |