本文選題：歷表　切入點(diǎn)：數(shù)據(jù)結(jié)構(gòu)　出處：《測(cè)繪科學(xué)技術(shù)學(xué)報(bào)》2017年01期 　論文類型：期刊論文

【摘要】：基于引潮位Doodson規(guī)格化展開的基本原理以及ELP/MPP02月球歷表、Newcomb太陽(yáng)歷表的結(jié)構(gòu),設(shè)計(jì)了一個(gè)用以代表三角函數(shù)的數(shù)據(jù)結(jié)構(gòu);并由此自定義了三角函數(shù)的乘法與加法算法,將月球、太陽(yáng)引潮位分別展開至5階、3階,振幅絕對(duì)值截?cái)嚅撝禐?0-7,在展開過(guò)程中對(duì)"偽波"進(jìn)行"濾波"處理后,最終得到包含4 686項(xiàng)展開式的引潮位展開表(其中振幅絕對(duì)值超過(guò)10-6的展開式有2 441項(xiàng))。以德國(guó)BFO(Black Forest Observatory)測(cè)站為例,基于DE431歷表,通過(guò)天球參考系變換計(jì)算得到1950—2050年間時(shí)間間隔為1 h的法向引潮力基準(zhǔn)序列BFDE431;并根據(jù)各個(gè)引潮位展開表計(jì)算得到相應(yīng)的法向引潮力序列;通過(guò)與BFDE431基準(zhǔn)序列求差,得到各個(gè)差值序列的統(tǒng)計(jì)值。計(jì)算結(jié)果表明,文中給出的展開表對(duì)應(yīng)的差值序列數(shù)值在±58×10~(-11)m·s~(-2)(nGal)以內(nèi),均方差為12.5×10~(-11)m·s~(-2),與XI89展開表的精度相當(dāng)。但由于沒有考慮行星及地球扁率的影響,仍未達(dá)到HW95和RATGP95展開表的精度水平。
[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 鹵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.
【作者單位】： 河南理工大學(xué)測(cè)繪與國(guó)土信息工程學(xué)院;中國(guó)地震局地震研究所地震大地測(cè)量重點(diǎn)實(shí)驗(yàn)室;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(41474021;41272373) 國(guó)家測(cè)繪地理信息局測(cè)繪基礎(chǔ)研究基金項(xiàng)目(15-01-05)
【分類號(hào)】：P223

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1 郗欽文;精密引潮位展開及某些詮釋[J];地球物理學(xué)報(bào);1991年02期

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