Sequential solution to Kepler's equation

Details Sequential solution to Kepler's equation Sequential solution to Kepler's equation

Sep 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.108...59d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 108, Issue 1, pp.59-72

Astronomy and Astrophysics

Astronomy

Kepler Equation, Orbit Propagation

Scientific paper

Seven sequential starter values for solving Kepler’s equation are proposed for fast orbit propagation. The proposed methods have constant complexity (not iterative), do not require pre-computed data, and can be implemented in just a few lines of code. The resulting sequential orbit propagation techniques can be done at different levels of accuracy and speed, depending essentially on the value of orbit eccentricity. Accuracy and algorithmic complexity are evaluated for all the proposed approaches and compared with several existing single-point techniques to solve Kepler’s equation. The new methods obtain improved accuracy at lower computational cost as compared to the best existing methods.

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