2004/10/31 by Jacques Laskar
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Analytic Number Theory Research #Mathematical Inequalities and Applications #astro-ph
paper · pdf · doi:10.1007/s10569-004-6440-8
9/11/2004
arxiv created 2004/11/10 · openalex publication_date 2005/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
Recently, Breiter et al (2004) reported the computation of Hansen coefficients Xkγ,m for non integer values of γ. In fact, the Hansen coefficients are closely related to the Laplace bs(m), and generalized Laplace coefficients bs,r(m) (Laskar and Robutel, 1995) that do not require s,r to be integers. In particular, the coefficients X0\g,m have very simple expressions in terms of the usual Laplace coefficients b\g+2(m), and all their properties derive easily from the known properties of the Laplace coefficients.