Note on the Generalized Hansen and Laplace Coefficients |
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| Authors: | Jacques Laskar |
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| Institution: | (1) Astronomie et Systèmes Dynamiques, IMCCE-CNRS UMR8028, Observatoire de Paris, 77 Av. Denfert-Rochereau, 75014 Paris, France |
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| Abstract: | Recently, Breiter et al. Celest. Mech. Dyn. Astron., 2004, 88, 153–161] reported the computation of Hansen coefficients X
k
γ ,m
for non-integer values of γ. In fact, the Hansen coefficients are closely related to the Laplace b
s
(m), and generalized Laplace coefficients b
s,r
(m) Laskar and Robutel, 1995, Celest. Mech. Dyn. Astron., 62, 193–217] that do not require s,r to be integers. In particular, the coefficients X
0
γ ,m
have very simple expressions in terms of the usual Laplace coefficients b
γ +2
(m), and all their properties derive easily from the known properties of the Laplace coefficients. |
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| Keywords: | analytical methods Hansen coefficients Keplerian motion Laplace coefficients |
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