Simplification of a Manifold Correction Method for Orbit Integration

Details Simplification of a Manifold Correction Method for Orbit Integration Simplification of a Manifold Correction Method for Orbit Integration

Aug 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aj....128..920f&link_type=abstract

The Astronomical Journal, Volume 128, Issue 2, pp. 920-922.

Astronomy and Astrophysics

Astronomy

11

Celestial Mechanics, Methods: N-Body Simulations

Scientific paper

By using an expression for the velocity as a function of the unit position vector, angular momentum, and Laplace integral, we obtain two ways of simplifying our latest method of manifold correction for numerical integration of quasi-Keplerian orbits, which needs to integrate 13 variables per celestial body. Both of the simplified methods keep the integration precision comparable to that of the original method while requiring the integration of only nine variables per celestial body.

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