Generalized Hansen Coefficients

Authors: Breiter, Sławomir1; Métris, Gilles2; Vokrouhlický, David3

Source: Celestial Mechanics and Dynamical Astronomy, Volume 88, Number 2, February 2004 , pp. 153-161(9)

Publisher: Springer

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Hansen coefficients X kn,j were originally defined for integer superscript n referring to the power of distance. We show, that most of the theory of Hansen coefficients remains valid for X k,j, when  is a real number. The generalized coefficients can be applied in a variety of perturbed problems that involve some drag effects. A more detailed discussion of the case X 0(2n+1)/2,j is given.

Keywords: Hansen coefficients; Keplerian motion; analytical methods; special functions

Document Type: Research Article


Affiliations: 1: Astronomical Observatory of A, Mickiewicz University, Słoneczna 36, PL 60-286, Poznań, Poland, Email: 2: Dept. CERGA, Observatoire de la Côte d’Azur, Av. N. Copernic, F 06130, Grasse, France, Email: 3: Institute of Astronomy, Charles University, V Holešovičkách 2, CZ 18000, Prague 8, Czech Republic, Email:

Publication date: February 1, 2004

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