距离及其变化率跟踪数据的数学处理

运用雷达或光学设备对航天飞行器进行跟踪测量可以获得距离及其变化率的观测数据。由于测量设备的精度、环境条件等多方面的原因，这些测量数据都是有误差的。除了测距及距离变化率的随机误差外，还有测距的系统误差。通过建立适当的数学模型，运用样条函数和回归分析方法给出一种估计距离、距离变化率及测距系统误差的方法，该方法很容易实现计算。理论分析和仿真计算表明，该方法具有很高的精度。

MATHEMATICAL PROCESSING TO TRACKING DATA OF RANGE AND RANGE RATE

y means of tracking measure of a space vehicle, measuring data of range and range rate can be obtained by using radar or optical instrument. Because of inaccuracy of measuring instrument, surrounding conditions, etc.,system errors are included in the obseryation data of range besides random errors of range and range rate. This paper have obtained a method to estimate the range, range rate and system errors of range by means of setting up a suitable mathematical model, using spline function theory and repression analysis. The calculation using our method is easy.Theory analysis and simulation results indicate the high accuracy of our method.