Abstract
Recently proposed methods of iteration and initial guesses are discussed, including the method of Laguerre-Conway. Tactics for a more refined initial guess for use with universal variables over a small time interval are described.
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Burkardt, T. M., and Danby, J. M. A.: 1983,Celest. Mech. 31, 317.
Conway, B. A.: 1987,Celest. Mech. 39, 199.
Danby, J. M. A., and Burkardt, T. M.: 1983,Celest. Mech. 31, 95.
Householder, A. S.: 1970,The Numerical Treatment of a Single Nonlinear Equation, McGraw-Hill, New York.
Odell, A. W., and Gooding, R. H.: 1986,Celest. Mech. 38, 307.
Ostrowski, A. M.: 1966,Solution of Equations and Systems of Equations, Academic Press, New York.
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Danby, J.M.A. The solution of Kepler's equation, III. Celestial Mechanics 40, 303–312 (1987). https://doi.org/10.1007/BF01235847
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DOI: https://doi.org/10.1007/BF01235847