Celestial mechanics

, Volume 27, Issue 4, pp 325–337 | Cite as

On eccentricity functions for eccentric orbits

  • A. Szeto
  • K. Lambeck
Article
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Accepted:

Abstract

Situations arise in celestial mechanics where orbital eccentricities are large and yet it is desirable to maintain the Darwin-Kaula Fourier decomposition of the perturbing function. Evaluation of the appropriate eccentricity functionsG lpq (e) requires a double summation which, for practical purposes, must be truncated. In this note criteria have been established for truncation of the expansion for eccentricities ≦0.75.

Keywords

Fourier Practical Purpose Celestial Mechanic Eccentric Orbit Fourier Decomposition 
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Copyright information

© D. Reidel Publishing Co. 1982

Authors and Affiliations

  • A. Szeto
    • 1
  • K. Lambeck
    • 1
  1. 1.Research School of Earth SciencesAustralian National UniversityCanberraAustralia

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