海洋测绘2017，Vol.37Issue(4)：19-23,5.DOI:10.3969/j.issn.1671-3044.2017.04.004
纬度正反解问题的傅里叶级数解算方法
A Fourier Series Method for Forward and Inverse Solutions of Latitudes
摘要
Abstract
An infinite series expansion method in general continuous closed interval is discussed.For calculating the forward and inverse solutions between the commonly used latitudes in surveying and cartography,a Fourier series method is given and then the corresponding theoretical analysis and calculations are conducted.Based on the computer algebra system Mathematica,the series expansions of the forward and inverse solutions between the commonly used latitudes and geodetic latitudes are derived,showing the series expansions of complex odd functions can be conveniently represented and calculated by using the Fourier series method.The example analysis shows the method and its expansions are correct.The method can be used to supply the theoretical basis for analyzing the general coefficients and forms of the forward and inverse expansions,which is universal and enrich the related theory of latitude transformations.关键词
大地测量/傅里叶级数/常用纬度/正反解/无穷展开式/第一偏心率Key words
geodetic surveying/fourier series/commonly used latitude/forward and inverse solution/infinite expansion/first eccentricity分类
天文与地球科学引用本文复制引用
陈成,边少锋,刘强..纬度正反解问题的傅里叶级数解算方法[J].海洋测绘,2017,37(4):19-23,5.基金项目
国家自然科学基金(41574009,41571441). （41574009,41571441）
