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He also applied it for solution of several difficult problems in Mathematics, Mechanics, Celestial Mechanics, and Hydrodynamics.
He was a department director at the Observatorio Astronómico de la Universidad Nacional de La Plata, specializing in astrometry and celestial mechanics, from 1955 to 1972.
He also introduced orbital mechanics and familiarized his students with Moulton’s text on celestial mechanics.
He made a fundamental contribution to the n-body problem in celestial mechanics by proving that using a third degree approximation for the disturbing forces implies instability of the major axes of the orbits, and by introducing the concept of secular perturbations in relation to this.
In celestial mechanics, the Stumpff functions ck(x), developed by Karl Stumpff, are used for analyzing orbits using the universal variable formulation.
After having published several papers on celestial mechanics, also in collaboration with Clifford Will and E. Myles Standish, Nobili is now Principal Investigator of the Galileo Galilei (GG) experiment aimed to improve the accuracy
He has pointed out the importance of the post-Newton models for celestial mechanics, namely that developed by Georgi Manev.