基于改进椭球模型的航线算法

为提高飞机航迹计算的准确度,建立了考虑飞行高度的改进椭球模型,利用该椭球的对称性,采用空间向量分析方法,导出了大椭圆航线初始航线角的直接计算式;指出并纠正了前人给出的航程计算式中存在的偏差,借助计算机代数系统Mathematica,得到了计算航程的严密公式;从而为机载区域导航计算机确定航线要素提供了理论基础。

Studyon the Route Calculating Method Based on Improved Ellipsoid Model

In order to improve the planes track precision,the improved ellipsoid model is constructed considering the flight height.Using its symmetry,the direct formula of the initial course is derived through spatial vector analyses.The mistake that exists in previous formula used to calculate the route distance is pointed out and corrected,and the rigorous formula is available with the help of computer algebra system Mathematica.These formulae derived in this paper can provide theoretical basis for the determination of the route elements by area navigation computers.