To predict the future of Celestial Mechanics and to investigate unsolved problems for the next millennium contradicts the nature of our field of science which is based on non-integrable and transcendental equations with short time predictability. The reliability and predictability in our field depend on several factors, most of them unpredictable. Numerical predictions depend on the development of computer technology, which is itself not predictable. New analytical approaches call for the genius of Newton. We mustrealize that between Ptolemaeus (100–178) and Copernicus (1473–1543) our field received little attention. Between 1700 and 1800 the explosion occurred (Newton, Euler, Laplace, Lagrange and Gauss) followed by the period of 1800–1900 associated with Hamilton, Hill, Jacobi, Poincare and Tisserand. Can we expect anyone to make similar contributions in the next 1000 years?