Construction of nonsingular formulae of variance and covariance function of disturbing gravity gradient tensors
- ISSN号:2095-4557
- 期刊名称:《测绘科学与工程》
- 时间:0
- 分类:O211.6[理学—概率论与数理统计;理学—数学] P312.1[天文地球—固体地球物理学;天文地球—地球物理学]
- 作者机构:[1]Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China, [2]State Key Laboratory of Geo-information Engineering, Xi'an 710054, China, [3]Key Laboratory of Geo-space Environment and Geodesy of Ministry of Education, Wuhan University, Wuhan 430079, China, [4]School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China, [5]The 61206 Troops ofPLA, Dalian 116023, China, [6]The Fourth Surveying and Mapping and Navigation Base, Chengdu 610062, China
- 相关基金:This work is supported by the National 975 Foundation of China (61322201), the National Natural Science Foundation of China (41304022, 41174026, 41104047) and Key Laboratory Foundation of Geo-space Environment and Geodesy, Ministry of Education(11-01-03).
关键词:
重力梯度张量, 协方差函数, 非奇异, 公式, 勒让德函数, 二阶导数, 球谐函数, 计算点, nonsingular, gravity field model , satellite gravity gradient , variance , covariance
中文摘要:
When the computational point is approaching the poles,the variance and covariance formulae of the disturbing gravity gradient tensors tend to be infinite,and this is a singular problem.In order to solve the problem,the authors deduced the practical non-singular computational formulae of the first-and second-order derivatives of the Legendre functions and two kinds of spherical harmonic functions,and then constructed the nonsingular formulae of variance and covariance function of disturbing gravity gradient tensors.
英文摘要:
When the computational point is approaching the poles, the variance and covariance formulae of the disturbing gravity gradient tensors tend to be infinite, and this is a singular problem. In order to solve the problem, the authors deduced the practical non-singular computational formulae of the first- and second-order derivatives of the Legendre functions and two kinds of spherical harmonic functions, and then constructed the nonsingular formulae of variance and eovarianee function of disturbing gravity gradient tensors.