测绘科学技术学报2017，Vol.34Issue(1)：5-9,5.DOI:10.3969/j.issn.1673-6338.2017.01.002
引潮位的Doodson规格化展开及其精度评定
The Doodson Normalized Development of Tidal Generating Potentialand Its Precision Evaluation
摘要
Abstract
Aimed at the Doodson normalized development of Tidal Generating Potential (TGP),based on the TGP theoretical formula and the structure of ELP/MPP02 lunar ephemeris and Newcomb solar ephemeris,a new data structure had been designed which can represent the trigonometric function and then customized the multiplication and addition algorithm of the trigonometric function.The TGP of lunar and solar were developed to 5 and 3 degree respectively,the truncation threshold of the absolute value of the amplitude is 10-7.The pseudo waves were filtered in the development process and then the TGP development catalogue was obtained which contains 4 686 expanding terms in which there are 2 441 terms whose amplitude absolute value are more than 10-6.Taking the Black Forest Observatory(BFO)station as an example,based on DE431 ephemeris and the celestial reference system transformation,the normal Tidal Generating Force(TGF)datum sequence BFDE431 between 1950 and 2050 with 1 hour time interval was calculated.Then the corresponding normal TGF sequence was computed according to the development catalogues and the statistic values of each difference sequence were obtained.The results show that the difference sequence values corresponding to the catalogue given in this paper are within ±58×10-11m·s-2,the RMS is 12.5×10-11m·s-2,the precision is equivalent with that of the XI89 catalogue.But because of without considering the effect of planets and the earth flattening,the precision has not yet reached that of HW95 and RATGP95 catalogue.关键词
历表/数据结构/算法设计/伪波/基准序列/精度Key words
ephemeris/data structure/algorithm design/pseudo wave/datum sequence/precision分类
天文与地球科学引用本文复制引用
雷伟伟,张捍卫,郝洪涛..引潮位的Doodson规格化展开及其精度评定[J].测绘科学技术学报,2017,34(1):5-9,5.基金项目
国家自然科学基金项目(41474021 （）
41272373) （）
国家测绘地理信息局测绘基础研究基金项目(15-01-05). （15-01-05）
