Efficient Orbit Integration by the Orbital Longitude Method Using Antifocal Anomaly

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Methods: N-Body Simulations

Scientific paper

Adopting the antifocal anomaly as the basis of a new orbital longitude, we obtain a variation on the true-longitude method to numerically integrate perturbed Keplerian orbits. Although the new method is applicable to elliptical orbits only, it achieves a larger stability region and gives significantly smaller integration errors than the original method when the perturbations are small and the eccentricity is not too large.

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