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This volume contains the proceedings of the workshop on Chaos in Gravitational N-Body Systems held in La Plata, Argentina, from July 31 - August 3, 1995. The workshop gathered many of the most important experts in the field of chaos in celestial mechanics and galactic dynamics, and the proceedings include their invited lectures, and contributions by other participants from all over the world. Since the common interest in chaos brought together researchers from many different disciplines, the wide range of information provided by this book cannot easily be found elsewhere. Besides researchers and students of nonlinear dynamics and dynamical astronomy, for whom this book is of direct interest, those studying chaos theory will find here different areas of astronomy (solar system, stellar systems, cosmology) where their knowledge can be applied.