The solution of Kepler's equation, III

@article{Danby1987TheSO,
  title={The solution of Kepler's equation, III},
  author={J. M. Anthony Danby},
  journal={Celestial mechanics},
  year={1987},
  volume={40},
  pages={303-312}
}
  • J. Danby
  • Published 1 September 1987
  • Physics
  • Celestial mechanics
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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References

SHOWING 1-4 OF 4 REFERENCES
The solution of Kepler's equation, I
Methods of iteration are discussed in relation to Kepler's equation, and various initial ‘guesses’ are considered, with possible strategies for choosing them. Several of these are compared; the
The solution of Kepler's equation, II
Starting values for the iterative solution of Kepler's equation are considered for hyperbolic orbits, and for generalized versions of the equation, including the use of universal variables.
Procedures for solving Kepler's equation
We review starting formulae and iteration processes for the solution of Kepler's equation, and give details of two complete procedures. The first has been in use for a number of years, but the second
An improved algorithm due to laguerre for the solution of Kepler's equation
A root-finding method due to Laguerre (1834–1886) is applied to the solution of the Kepler problem. The speed of convergence of this method is compared with that of Newton's method and several