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天球参考系转换、勒让德函数计算是精密引潮力计算的两个核心工作.为了确保计算结果的准确性,采用两种彼此相互独立的算法公式进行检核计算.对于天球参考系转换,分别采用基于春分点的岁差章动转换和基于CIO的无旋转原点转换两种方法,转换参数分别采用IERS 2003、2010规范推荐的4组参数模型;对于勒让德函数计算,分别采用勒让德函数的递推算法、完全规格化缔合勒让德函数的递推算法两种数学模型;计算结果验证了引潮力计算过程与数据成果的准确性.以德国BFO测站为例,计算得到1962年1月1日至2015年8月1日54年内,时间间隔为1小时的精密引潮力时间序列,统计结果表明引潮力的量值在149459.841×10~(~(-11))ms~(-2)(10~(~(-11))ms~(-2)=1 nGal)以内.同时对精密引潮力计算中的各类影响因素进行计算与分析,计算结果表明:岁差章动模型更新、以及两种天球参考系转换方法之间的差异对引潮力的影响可完全忽略不计;地球扁率、极移、参考框架偏差、历表更新对引潮力影响的量值分别在1.891×10~(~(-11))ms~(-2)、0.586×10~(~(-11))ms~(-2)、0.032×10~(-11)ms~(-2)、0.012×10~(-11)ms~(-2)以内,这些因素在高精度引潮力计算中不能忽略;而地球时与世界时转换、径向法向转换对引潮力的影响分别达到916×10~(-11)ms~(-2)、476×10~(-11)ms~(-2),忽略这两个因素将会导致计算结果错误.
Celestial reference frame conversion, Legendre function calculation is the two core tasks of precision tide force calculation.In order to ensure the accuracy of the calculation results, two mutually independent algorithm formulas are used to check calculation.For celestial reference frame conversion, respectively Two methods of precession chaotic transformation based on vernal equinox and non-rotating origin transformation based on CIO are adopted. The parameters of transformation are respectively adopted four groups of parameter models recommended by IERS 2003 and 2010 respectively. For Legendre function, Recursive algorithm and completely normalized relativistic two-mathematic model of associative Legendre function, the calculation results verify the accuracy of the tidal force calculation process and data results.According to the BFO station in Germany, From January 1 to August 1, 2015, the time series of the precise tidal force with an interval of 1 hour in 54 years shows that the magnitude of the tide force is between 149459.841 × 10 ~ (-11) ms ~ (-2) ) (10 ~ (-11) ms ~ (-2) = 1 nGal) .At the same time, various influencing factors in the calculation of precision tidal force were calculated and analyzed.The results showed that: the precessional nutation model was updated, As well as two celestial sphere reference system conversion methods The difference between the tide force and the tide force can be completely neglected. The magnitude of the tidal flat rate, the pole shift, the reference frame deviation and the calendar update are respectively 1.891 × 10 ~ (-11) ms ~ (-1) -2, 0.586 × 10 ~ (-11) ms ~ (-2), 0.032 × 10 ~ (-11) ms ~ (-2), 0.012 × 10 ~ (-11) ms ~ (-2) ), These factors can not be neglected in the calculation of tidal force with high accuracy. However, the effects of the earth-time conversion and world-time conversion on the tide force are respectively 916 × 10 ~ (-11) ms ~ (-2) 476 × 10 ~ (-11) ms ~ (-2), ignoring these two factors will lead to the calculation error.