【摘要】：針對(duì)Stokes積分方法計(jì)算擾動(dòng)引力中計(jì)算點(diǎn)從空中趨近地面時(shí)存在積分奇異和不連續(xù)的問題,該文提出了去中央奇異點(diǎn)法、奇異點(diǎn)積分值修正法、中央格網(wǎng)加密算法和改進(jìn)積分式法4種改進(jìn)Stokes積分的計(jì)算公式,并進(jìn)行了實(shí)驗(yàn)計(jì)算。計(jì)算結(jié)果表明:近地空間范圍內(nèi),4種改進(jìn)算法都能在一定程度上改進(jìn)原始積分的奇異性問題;相同條件下,奇異點(diǎn)積分值修正法和改進(jìn)積分式法計(jì)算精度最高,適宜于低空計(jì)算;改進(jìn)積分式法通過理論推導(dǎo),得到了從球外部到球面統(tǒng)一、連續(xù)且無(wú)奇異的改進(jìn)Stokes積分公式,理論嚴(yán)謹(jǐn)。
[Abstract]:In order to solve the problem of integral singularity and discontinuity in the calculation of points approaching the ground from the air in the calculation of perturbed gravity by Stokes integral method, this paper puts forward the method of removing singularity point, the method of correction of integral value of singular point, and the method of correction of integral value of singular point. The central grid encryption algorithm and the improved integral formula method are used to calculate the four improved Stokes integrals, and the experimental calculations are carried out. The results show that all of the four improved algorithms can improve the singularity of the original integral to a certain extent, and under the same conditions, the singular point integral correction method and the improved integral method have the highest accuracy. An improved Stokes integral formula, which is continuous and non-singular, is obtained by theoretical derivation from the sphere to the sphere, and the theory is rigorous.
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本文編號(hào)：2141288