陀螺经纬仪观测数据处理研究

Probe into Observation Data Processing of Gyro Theodolite

陀螺的摆动方程是非线性的 ,线性化后的数据处理结果都不理想。针对此种情况 ,在分析几种传统的数据处理方法的基础上 ,提出了一种新的处理方法 :把观测值分为三个一组 ,先分别求出初始摆幅 ,衰减系数及陀螺北方向的近似值 ,然后 ,按简易法、严密法求出陀螺北方向的最或然值及其精度。对于逆转点的方差 ,要用方差分量估计原理进行估算。

The swing equation of gyro theodolite is nonlinearity, and data processing result is not good after linearizing. Based on analyzing some tradition methods, this thesis puts forward a kind of new processing method, that is: observation values are divided into groups that a group includes three values, and then solves the approximate values of initial amplitude, attenuation coefficient and north direction of gyro theodolite. At last, most probable value and precision of gyro theodolite's true north are solved by means of simple-easy and close methods, and variance of reversal point is estimated with the principle of component estimation.