The Lagrangian planetary equations for secular perturbations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Euler-Lagrange Equation, Many Body Problem, Orbit Perturbation, Secular Variations, Solar Orbits, Canonical Forms, Poincare Problem

Scientific paper

For the case of n planets, the author derives Lagrange's secular
planetary equations in terms of the Poincaré canonical variables,
using the Jacobi-Radau set of origins, and referring to a common fixed
plane.

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