Application of Hori's technique in general planetary theory. II - The complete solution of the canonical equations of motion

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Canonical Forms, Equations Of Motion, Planetary Evolution, Hamiltonian Functions, Lie Groups

Scientific paper

The complete solution of the planetary canonical equations of motion by the method of Hori through successive changes of canonical variables using the Lie series is presented. Thus, the long or critical terms of the planetary perturbing function, in the general planetary theory can be eliminated. In these formulas, perturbation terms of order higher than the third with respect to planetary masses are neglected.

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