Regular motions in extra-solar planetary systems

  title={Regular motions in extra-solar planetary systems},
  author={Sylvio Ferraz-Mello and Tatiana A. Michtchenko and Claudineia Brazil and OA Universidad Nacional de Cordoba Argentina},
This paper is a review of the dynamics of a system of planets. It includes the study of averaged equations in both non-resonant and resonant systems and shows the great deal of situations in which the angle between the two semi-major axes oscillates around a constant value. It introduces the Hamiltonian equations of the $N$-planet problem and Poincar\'e's reduction of them to $3N$ degrees of freedom with a detailed discussion of the non-osculating ``canonical'' heliocentric Keplerian elements… 
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