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Astrophysics and Space Science

, Volume 125, Issue 1, pp 77–83 | Cite as

Simple integrals for solving of Kepler's equation

  • W. Neutsch
  • E. Schrüfer
Article

Abstract

In this paper we derive integral representations for the solution of Kepler's equations for elliptic and hyperbolic orbits. The integrands consist merely of rational expressions of the integration variable and its exponential.

Keywords

Integral Representation Rational Expression Integration Variable Simple Integral Hyperbolic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Hearn, A. C.: 1985, REDUCE 3.2 Users Manual Rand Publ. CP 78, The Rand Corp., Santa Monica, CA 90406, USA.Google Scholar
  2. Ioakimidis, V. I. and Papadakis, K. E.: 1985,Celes. Mech. 35, 305–316.Google Scholar
  3. Klinkerfues, W.: 1899,Theoretische Astronomie, Vieweg, Braunschweig.Google Scholar
  4. Siewert, C. E. and Burniston, E. E.: 1972,Celes. Mech. 6, 294–304.Google Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • W. Neutsch
    • 1
  • E. Schrüfer
    • 1
  1. 1.Institut für Astrophysik und Extraterrestrische ForschungUniversität BonnF.R.G.

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