Skip to main content
Log in

The solution of Kepler's equation, III

  • Published:
Celestial mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Burkardt, T. M., and Danby, J. M. A.: 1983,Celest. Mech. 31, 317.

    Google Scholar 

  • Conway, B. A.: 1987,Celest. Mech. 39, 199.

    Google Scholar 

  • Danby, J. M. A., and Burkardt, T. M.: 1983,Celest. Mech. 31, 95.

    Google Scholar 

  • Householder, A. S.: 1970,The Numerical Treatment of a Single Nonlinear Equation, McGraw-Hill, New York.

    Google Scholar 

  • Odell, A. W., and Gooding, R. H.: 1986,Celest. Mech. 38, 307.

    Google Scholar 

  • Ostrowski, A. M.: 1966,Solution of Equations and Systems of Equations, Academic Press, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Danby, J.M.A. The solution of Kepler's equation, III. Celestial Mechanics 40, 303–312 (1987). https://doi.org/10.1007/BF01235847

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01235847

Keywords

Navigation