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

作　　者：苏勇[1] 范东明[1] 游为[1] 吴学文 

机构地区：[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

出　　处：《测绘科学技术学报》2011年第6期416-420,共5页Journal of Geomatics Science and Technology

摘　　要：地球重力场模型的建立和应用,其数值精度和稳定性主要取决于完全正常化的缔合Legendre函数及其导数的计算精度和稳定性。总结了各种常见的计算缔合Legendre函数及其导数的方法,对各种方法进行了数值测试,分析了其精度和效率情况,提出了改进缔合Legendre函数及其导数计算精度和效率的几点意见。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 

分 类 号：P223[天文地球—大地测量学与测量工程]