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基于加权约束的重力网平差 被引量:5

ADJUSTMENT OF GRAVITY NETWORKS BASED ON WEIGHTED CONSTRAINTS
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摘要 给出用加权约束平差计算绝对重力和相对重力混合网的方法,用抗差估计剔除粗差,χ2检验验后单位权方差,t检验舍去无显著特征的重力仪参数,t检验验证外部检核点有无显著变化。计算结果表明,验后方差与先验方差之比为1.05,满足χ2检验;未知重力点平均中误差±13.6×10-8ms-2;17个外部重力检核点无显著变化。 A method to solve a synthetic adjustment of absolute and relative gravity network using weighted constrains is presented. Robust estimation is applied to eliminate gross errors,and χ^2 statistic is applied to a posteriori variance testing,and Student's t test is adopted to test statistically the relevance of gravimeter's parameters and to test whether the examination stations' gravities are evidently changed. Some computing results show that,the ratio between the posteriori variance after adjustment and the priori variance of unit weight is 1. 08,which satisfies a χ^2 test,and the average error estimate of the unknown gravity values is ± 13. 6 × 10^- 8ms^- 2,17 exterior examination stations' gravities aren't evidently changed.
出处 《大地测量与地球动力学》 CSCD 北大核心 2014年第2期124-127,共4页 Journal of Geodesy and Geodynamics
基金 国家自然科学基金(41104047) 大地测量与地球动力学重点实验室开放基金(SKLGED2013-4-5-E)
关键词 重力网 绝对重力 相对重力 加权约束平差 抗差估计 gravity network absolute gravity relative gravity weighted constraint adjustment robust estimation
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