This paper is a review of the dynamics of a system of planets. Jt 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 JV-planet problem and Poincare's reduction of them to 3iV degrees of freedom with a detailed discussion of the non-osculating "canonical" heliocentric Keplerian elements that should be used with Poincare relative canonical variables. It also includes Beaiige's approximation to expand the disturbing function in the exoplanetary case where masses and eccentricities are large. The paper is concluded with a discussion of systems captured into resonance and their evolution to symmetric and asymmetric stationary solutions with Apsidal corotation.
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