Abstract

We present a second order secular Jupiter-Saturn planetary theory through Poincare canonical variables, von Zeipel's method and Jacobi-Radau referential. We neglect in our expansions terms of power higher than the fourth with respect to eccentricities and sines of inclinations. We assume that the disturbing function is composed of secular and critical terms only. We shall deriveF2si and writeF2s in terms of Poincare canonical variables in Part II of this problem.

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