Abstract
The Hamiltonian of the eight-planetary problem is written in the Jacobi coordinates. It is expanded into a Poisson series in the small parameter and orbital elements of the second Poincare system. The Hamiltonian is averaged by the Hori - Deprit method of the second order in a small parameter. The motion equations in the averaged elements and the functions for the change of variables for the transition between osculating and averaged elements are constructed.
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