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Two Methods for Deriving the Recursion Formula of Inclination Function
Wu Lianda ; Wang Hongbo
Source PublicationActa Astronomica Sinica
AbstractIn analytical theories of celestial mechanics,the perturbation function need be expanded as a function of orbit elements.There are two frequently-used functions.One is the inclination function,another is the Hansen coefficient.How to calculate the inclination function as well as its stability and accuracy are very elementary and important problems in satellite dynamics.The method for deriving the recursion formula of Goodings inclination function is based on two hyper-geometric series relations.Then it is proved that the Gooding formula can also be deduced by the recursion relation of Jacobi polynomial.Comparing with the hyper-geometric series,the recursion process based on Jacobi polynomial is much simpler,indicating that the Gooding method is the recursion of Jacobi polynomial in essence.
Subject AreaAstronomy & Astrophysics
Document Type期刊论文
Recommended Citation
GB/T 7714
Wu Lianda,Wang Hongbo. Two Methods for Deriving the Recursion Formula of Inclination Function[J]. Acta Astronomica Sinica,2012,53(5):402-410.
APA Wu Lianda,&Wang Hongbo.(2012).Two Methods for Deriving the Recursion Formula of Inclination Function.Acta Astronomica Sinica,53(5),402-410.
MLA Wu Lianda,et al."Two Methods for Deriving the Recursion Formula of Inclination Function".Acta Astronomica Sinica 53.5(2012):402-410.
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