Generalization of Encke's Method and its Application to the Orbital and Rotational Motions of Celestial Bodies

Details Generalization of Encke's Method and its Application to the Orbital and Rotational Motions of Celestial Bodies Generalization of Encke's Method and its Application to the Orbital and Rotational Motions of Celestial Bodies

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aj....112.1263f&link_type=abstract

Astronomical Journal v.112, p.1263

Astronomy and Astrophysics

Astronomy

24

Celestial Mechanics, Methods: Numerical

Scientific paper

Encke' s method was generalized to a dynamical system with a linear approximate solution. Its superiority to the classical Encke's method was shown analytically for two kinds of perturbed harmonic oscillators. The method was applied to the orbital and rotational motions of celestial bodies expressed in terms of the orbital elements and new sets of variables. Numerical simulations showed that the new formulations reduce integration errors significantly. When compared to the existing schemes, the gain in precision by the new method reaches 3 to 9 digits while the required computational labor remains almost the same.

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