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Solve the Position to Time Equation for an Object Travelling on a Parabolic Orbit in Celestial Mechanics | ||
| Diyala Journal For Pure Science | ||
| Article 1, Volume 9, Issue 4, 2013, Pages 31-38 | ||
| Author | ||
| Mohammed S. Rasheed | ||
| Abstract | ||
| in this paper, the two body problem equation in parabolic orbit in celestial mechanics is solved using new iterative method with quadratic convergence. Initial solution is suggested depending on the time , earth gravitational constant and the angular distance to be , . The proposed methods considerably to be improvement of Newton's method with less iteration are needed to reach the solution of two body problem in parabolic orbit. | ||
| Keywords | ||
| Parabolic orbit; Barker; Two body problem; iterative methods; Order of convergence; Astrophysics | ||
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