Symplectic Integrators for Solar System Dynamics (original) (raw)

NASA/ADS

Abstract

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.

Publication:

The Astronomical Journal

Pub Date:

October 1992

DOI:

10.1086/116347

Bibcode:

1992AJ....104.1633S

Keywords:

• Hamiltonian Functions;
• Integrators;
• Orbital Mechanics;
• Solar Orbits;
• Solar System;
• Numerical Integration;
• Perturbation;
• Two Body Problem;
• Astronomy;
• SOLAR SYSTEM: GENERAL;
• ASTROMETRY