The construction of a fifth-order Jupiter-Saturn motion: Analytical theory. I - Outline

Physics

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Celestial Mechanics, Hamiltonian Functions, Orbit Perturbation, Planetary Mass, Solar Orbits, Jupiter (Planet), Saturn (Planet), Secular Variations

Scientific paper

The construction of a fifth-order with respect to masses Jupiter-Saturn (J-S) secular theory by Hori-Lie canonical technique is presented. The J-S Hamiltonian includes both parts of the perturbing function. The influence of the 2:5 critical terms is taken into consideration. The Jacobi-Radau system of origins is adopted, and the theory is expressed in terms of the Poincare canonical variables.

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