发射点定位误差对发射方位角的影响

Influence on Launching Azimuth by Launching Point Position Error

发射点定位误差对发射坐标系的影响不仅仅在于坐标系原点不准 ,而且还会影响发射方位角 ,从而会有欧拉角的转换。首先依据确定平面的几何原理和求解平面夹角的余弦公式 ,在地心坐标系下 ,得到发射方位角与发射点、目标点的简洁的解析关系 ;然后 ,通过地心坐标系为中介推导了发射坐标系的扰动矩阵。由此 ,可得到发射点经度。

This paper analyzes the influence on launching coordinates of ballistic missile produced by launching point position error. The change lies not only in original point but also in Eulerian angle of coordinate transformation. Therefore, based on the geometric principle of plane equation being determined and Cosine formula to calculate the angle of two planes, a simple analytical expression among launching azimuth, launching point and goal point are obtained firstly in the Earth centered Inertial coordinates. Secondly, by the aid of Earth centered Inertial coordinates , the transformation matrix between the launching coordinates with error and the true one is derived. Given the launching point and the goal, the influence on launching coordinates of ballistic missile produced by launching point orientation error can be achieved in quantified value.