Generalized Hansen Coefficients

Astronomy and Astrophysics – Astronomy

Scientific paper

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Analytical Methods, Hansen Coefficients, Keplerian Motion, Special Functions

Scientific paper

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 kγ,j, when γ 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.

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