基于加速度计重力梯度仪分析与设计

The design and analysis for the accelerometer-based gravity gradiometer

目前,重力梯度仪成为重力仪器的主要研究方向,国内尚无此种仪器问世.本文利用加速度计在旋转载体中测量公式,推导出基于加速度计重力梯度仪测量公式.分析利用此公式进行重力梯度测量时需要注意的问题.然后以美国Bell/Aero公司生产的重力梯度仪为例,导出旋转加速度计式重力梯度仪测量结果.最后总结出基于加速度计重力梯度仪设计过程中存在的各种误差,并给出解决这些问题的方案.为国内重力梯度仪的研究工作提供理论依据.

The gravity gradient reflects the details of gravitational field of the earth. It is the derivative of gravitation. The gravity gradiometer has been the development direction of gravity apparatus. In this paper, the principle of the accelerometer-based gravity gradiometer is presented and its measurements formulas are derived using the basic equation of acceleration in a rotating body. The questions that need to pay attention to are pointed out. Then the measurements of gradient are derived according to the formulas for the first time using Bell/Aero stabilized rotating disc gravity gradiometer as an example. Finally, the errors of the aceelerometer-based gravity gradiometer are summed up and the methods for solving these questions are given.