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Celestial Mechanics and Dynamical Astronomy

, Volume 98, Issue 2, pp 145–154 | Cite as

Generalized Laplace coefficients and Newcomb derivatives

  • Maurizio M. D’Eliseo
Original Article

Abstract

It is shown how the generalized Laplace coefficients can be employed to deduce explicit formulas for ordinary and Newcomb derivatives of the Laplace coefficients.

Keywords

Generalized coefficients Expansions Derivatives Newcomb derivatives Laplace coefficients 

PACS

95.10.Ce 95.75.Pq 

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References

  1. Brouwer D. and Clemence G.M. (1961). Methods of Celestial Mechanics. Academic Press, New York Google Scholar
  2. Carbó-Dorca R., Gironés X., Mezey P.G., eds. (2001). Fundamentals of Molecular Similarity. Kluwer Academic, New York Google Scholar
  3. D’Eliseo M.M. (1989). On the computation of the Laplace coefficients. Celest. Mech. Dyn. Astron. 46: 159–161 CrossRefADSMathSciNetGoogle Scholar
  4. Süli A., Érdi B. and Pàl A. (2004). A new method to determine the derivatives of the Laplace coefficients. Celest. Mech. Dyn. Astron. 88: 259–268 MATHCrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Osservatorio S.ElmoNapoliItaly

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