Abstract
After a short description of the present situation in Celestial Mechanics, the authors identify four different aspects (physical bases, mathematical aspects, computational techniques and astronomical techniques) and two criteria describing the importance and the difficulty of a given problem. Three main fields of application are considered: relativistic and Newtonian Celestial Mechanics and evolutionary problems. For each case, a number of examples of unsolved problems are listed and discussed in terms of the previously defined domains and criteria.
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