Bounds on the Solution to kEPLER'S EQUATION:II. UNIVERSAL AND OPTIMAL STARTING POINTS |
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Authors: | Richard a Serafin |
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Institution: | (1) Uhlandstraβe 46, 46047 Oberhausen, Germany |
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Abstract: | In this paper we find bounds on the solution to Kepler's equation for hyperbolic and parabolic motions. Two general concepts
introduced here may be proved useful in similar numerical problems. Moreover, we give optimal starting points for Kepler's
equation in hyperbolic and elliptic motions with particular attention to nearly parabolic orbits. It allows to expand the
accepted earlier interval |e - 1| ≤ 0.01 for nearly parabolic orbits to the interval |e - 1| ≤ 0.05.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | Kepler's equation bounds on the solution starting points |
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