Efficient Orbit Integration by Kustaanheimo-Stiefel Regularization Using Time Element

Details Efficient Orbit Integration by Kustaanheimo-Stiefel Regularization Using Time Element Efficient Orbit Integration by Kustaanheimo-Stiefel Regularization Using Time Element

Mar 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aj....129.1746f&link_type=abstract

The Astronomical Journal, Volume 129, Issue 3, pp. 1746-1754.

Astronomy and Astrophysics

Astronomy

3

Celestial Mechanics, Methods: Numerical

Scientific paper

We have found that the introduction of the time element into the Kustaanheimo-Stiefel (K-S) regularization changes the rate of error growth from quadratic to linear with respect to the physical time, even when a scaling is not applied. It also mostly wipes out the periodic error components in the case of unperturbed orbits, independently of the application of the scaling. Since the increase in computational time due to use of the time element is negligible, we recommend that it be employed in all numerical integrations using the K-S regularization.

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