引潮位的Doodson规格化展开及其精度评定

发布时间：2018-03-10 01:07

本文选题：历表　切入点：数据结构　出处：《测绘科学技术学报》2017年01期 　论文类型：期刊论文

【摘要】：基于引潮位Doodson规格化展开的基本原理以及ELP/MPP02月球历表、Newcomb太阳历表的结构,设计了一个用以代表三角函数的数据结构;并由此自定义了三角函数的乘法与加法算法,将月球、太阳引潮位分别展开至5阶、3阶,振幅绝对值截断阈值为10-7,在展开过程中对"伪波"进行"滤波"处理后,最终得到包含4 686项展开式的引潮位展开表(其中振幅绝对值超过10-6的展开式有2 441项)。以德国BFO(Black Forest Observatory)测站为例,基于DE431历表,通过天球参考系变换计算得到1950—2050年间时间间隔为1 h的法向引潮力基准序列BFDE431;并根据各个引潮位展开表计算得到相应的法向引潮力序列;通过与BFDE431基准序列求差,得到各个差值序列的统计值。计算结果表明,文中给出的展开表对应的差值序列数值在±58×10~(-11)m·s~(-2)(nGal)以内,均方差为12.5×10~(-11)m·s~(-2),与XI89展开表的精度相当。但由于没有考虑行星及地球扁率的影响,仍未达到HW95和RATGP95展开表的精度水平。
[Abstract]:Based on the basic principle of Doodson normalized expansion of tidal level and the structure of ELP/MPP02 lunar calendar Newcomb solar altimeter, a data structure representing trigonometric functions is designed, and the multiplication and addition algorithms of trigonometric functions are defined. The solar tidal level is expanded to 5 ~ 3 order and the absolute truncation threshold of amplitude is 10 ~ (-7). In the process of expansion, "pseudo wave" is processed by "filtering". Finally, a tidal level expansion table containing 4,686 expansions (2,441 of which have an absolute amplitude of more than 10-6) has been obtained. Taking the German BFO(Black Forest Observatorystation as an example, based on the DE431 calendar, The normal tidal generating datum sequence BFDE431was obtained by the transformation of the celestial sphere reference system between 1950-2050 and the interval of 1 h, and the corresponding normal tidal generating force sequence was calculated according to each tidal position expansion table, and the difference was obtained from the BFDE431 datum sequence. The statistical values of each difference sequence are obtained. The calculated results show that the corresponding difference sequence values of the expansion table in this paper are within 卤58 脳 10 ~ (10) ~ (-11) m 路s ~ (-1) ~ (?) and the mean deviation is 12.5 脳 10 ~ (10) ~ (-11) m 路s ~ (2) ~ (2), which is equivalent to the accuracy of the XI89 expansion table, but the effect of planetary and Earth flattening is not taken into account. The precision level of HW95 and RATGP95 expansion table is still not reached.
【作者单位】：河南理工大学测绘与国土信息工程学院;中国地震局地震研究所地震大地测量重点实验室;
【基金】：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)
【分类号】：P223

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