 Brumberg has over 100 publications and 6 books, two of which are the highly influential "Essential Relativistic Celestial Mechanics" (1991) and "Analytic Techniques of Celestial Mechanics" (1995).He received the 2008 Brouwer Award from the Division of Dynamic Astronomy of the American Astronomical Society.The Brouwer Award was established to recognize outstanding contributions to the field of Dynamical Astronomy, including celestial mechanics, astrometry, geophysics, stellar systems, galactic and extragalactic dynamics.