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Chudnovsky received his undergraduate, graduate, and postdoctoral education at Kharkov University in Ukraine, in a school of theoretical physics built by Lev Landau and his students.
After graduating from the Kharkov University (1911) he entered the Sorbonne, where he defended a dissertation for the Doctor of Science degree in 1914; in between he interned at the Paris, Meudon, and Nice observatories.