Sequential solution to Kepler's equation Academic Article uri icon


  • 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. 2010 Springer Science+Business Media B.V.

published proceedings


author list (cited authors)

  • Davis, J. J., Mortari, D., & Bruccoleri, C.

citation count

  • 7

publication date

  • September 2010