为有效减小厄特弗斯改正的误差,提高重力异常测量值的精度,在分析厄特弗斯改正计算模型的基础上,就载体的速度误差、航向误差及纬度误差对厄特弗斯改正误差的影响进行了仿真分析。在误差分析时,首先对厄特弗斯改正模型求取各变量的偏导,从而得到各变量与厄特弗斯修正误差之间的关系,并以此为基础采用三维视图和数字计算相结合的方法给出了具体的分析结果。仿真结果表明,速度误差是厄特弗斯改正误差的最大影响因素。在某一确定测量误差要求下,速度误差的精度要求随载体所处纬度和航向角的变化而变化;在φ=0°,A=90°时,要保证厄特弗斯改正误差小于0.1mGal,载体速度测量误差需小于0.013m/s。
To reduce the Eotvos correction error and improve the gravimetry precision, the paper analyzed the effect of velocity error, course angle error and latitude error on the Eotvos correction errors based on the Eotvos correction model. In the analysis, the partial derivatives of the all variables mentioned above of Eotvos model were determined, and then the relationship between error of Eotvos correction and these factors were obtained. Based on this, the analysis results were presented by the method of combining the 3D views with numeric calculation. The simulation results show that the velocity error is the main factor that affects the error of Eotvos correction, and the carrier's velocity error should be less than 0.013 m/s in order to keep the error of Eotvos correction under 0.1 mGal when φ=0°and A=90°.