Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cemda..86..351s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 86, Issue 4, p. 351-362 (2003).
Astronomy and Astrophysics
Astronomy
Scientific paper
In this paper, an efficient iterative method of arbitrary positive integer order of convergence >= 2 will be established for the two-body universal initial value problem. The method is of dynamic nature in the sense that, on going from one iterative scheme to the subsequent one, only additional instruction is needed. Moreover, which is the most important, the method does not need any a priori knowledge of the initial guess. A property which avoids the critical situations between divergent to very slow convergent solutions, that may exist in other numerical methods which depend on initial guess. Some applications of the method are also given.
Sharaf Amr A.
Sharaf Mohamed A.
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