Symplectic integrators for solar system dynamics

Astronomy and Astrophysics – Astronomy

Scientific paper

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Hamiltonian Functions, Integrators, Orbital Mechanics, Solar Orbits, Solar System, Numerical Integration, Perturbation, Two Body Problem

Scientific paper

Certain symplectic integrators relevant to solar system dynamics are defined here. It is shown that the dominant long-term error arises from a constant error in the mean motion, and special starting procedure which can eliminate this error are described. The resulting improvement make these integrators easily the best available for a wide range of solar system problems.

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