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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).
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.

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期刊信息
  • 《测绘科学与工程》
  • 主管单位:
  • 主办单位:西安测绘研究所
  • 主编:孙中苗
  • 地址:西安市雁塔路中段1号
  • 邮编:710054
  • 邮箱:ckgc@sina.com
  • 电话:029-84749122
  • 国际标准刊号:ISSN:2095-4557
  • 国内统一刊号:ISSN:61-1425/P
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:317