四种改进积分法的低空扰动引力计算
发布时间：2018-07-24 11:50
【摘要】：针对Stokes积分方法计算扰动引力中计算点从空中趋近地面时存在积分奇异和不连续的问题,该文提出了去中央奇异点法、奇异点积分值修正法、中央格网加密算法和改进积分式法4种改进Stokes积分的计算公式,并进行了实验计算。计算结果表明:近地空间范围内,4种改进算法都能在一定程度上改进原始积分的奇异性问题;相同条件下,奇异点积分值修正法和改进积分式法计算精度最高,适宜于低空计算;改进积分式法通过理论推导,得到了从球外部到球面统一、连续且无奇异的改进Stokes积分公式,理论严谨。
[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.
，
本文编号：2141288
[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.
，
本文编号：2141288
本文链接：https://www.wllwen.com/kejilunwen/dizhicehuilunwen/2141288.html
