引用本文: 晁定波, E·, M·, 巴克尔. Lacoste-Romberg “G”型重力仪周期误差检定的优化问题[J]. 武汉大学学报 ( 信息科学版), 1986, 11(1): 32-44.
Chao Dingbo, Edward M. Baker, . The Optimization Problem of Calibrating the Periodic Errors of Lacoste and Romberg Model “G” Gravity Meter[J]. Geomatics and Information Science of Wuhan University, 1986, 11(1): 32-44.
 Citation: Chao Dingbo, Edward M. Baker, . The Optimization Problem of Calibrating the Periodic Errors of Lacoste and Romberg Model “G” Gravity Meter[J]. Geomatics and Information Science of Wuhan University, 1986, 11(1): 32-44.

## The Optimization Problem of Calibrating the Periodic Errors of Lacoste and Romberg Model “G” Gravity Meter

• 摘要: 本文讨论了用法码法检定Lacoste-Romberg "G"型重力仪周期误差的优化问题。取周期误差函数待测参数的方差-协方差阵的迹极小化为优化准则,导出了单周期误差函数检测的最优检定重量及最优观测值分布的严格解;对含多个周期的周期误差函数,通过模拟计算导出了检定设计最优化的普遍原则及实用方法。对检定的必要观测数及野外和室内基线检定法也作了简略的讨论。

Abstract: This paper deals with the optimization problem of calibrating the periodic errors of Lacoste-Romberg model "G" Land gravity meter by weight method. Minimization of the trace of the variance-covariance matrix of adjusted parameters,∑x, is adopted as the criterion for the optimization. It is presented that the optimum calibrating weight and observational distribution for detecting the periodic errors with one wave-length. For several wave-lengths, the author derives the general principles of the optimization design for the calibration and corresponding practical procedure from simulative computations. The problem of the required number of observations and the baseline methods used in the field and buildings are also briefly discussed.

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