测绘科学技术学报2011，Vol.28Issue(6)：416-420,5.DOI:10.3969/j.issn.1673-6338.2011.06.007
完全正常化缔合Legendre函数及其导数计算的综合分析
Comprehensive Analysis of the Fully Normalised Associated Legendre Functions and Its Derivatives
苏勇 1范东明 1游为 1吴学文2
作者信息
- 1. 西南交通大学地球科学与环境工程学院,四川成都610031
- 2. 陕西测绘仪器计量监督检定中心,陕西西安710054
- 折叠
摘要
Abstract
The foundation and application of Earth gravity model depends on the accuracy and stability of fully normalised associated Legendre functions and its derivatives. A variety of common methods to compute associated Legendre functions and its derivatives were summarized. With some numerical test, the accuracy and efficiency of each approach were analyzed. At the same time, some suggestions to improve the computational accuracy and efficiency of associated Legendre functions and its derivatives were put forward.关键词
缔合Legendre函数/球谐函数/地球重力场/递推计算/稳定性Key words
associated Legendre functions/ spherical harmonic functions/ Earth gravity model/ recursion/ sta-bility分类
天文与地球科学引用本文复制引用
苏勇,范东明,游为,吴学文..完全正常化缔合Legendre函数及其导数计算的综合分析[J].测绘科学技术学报,2011,28(6):416-420,5.
