对航海常用等角航线的航迹计算公式存在的常数化和近似化问题进行了详细的分析,由地图投影等角变形理论,推导其严密计算的表达式,并借助计算机代数系统对其中复杂的数学公式进行优化,提高了航线的精度,为航海人员提供了理论依据与实用公式.实验结果表明,改进的墨卡托航法航迹计算公式精度得到了大幅度的提高,正解误差和反解误差均在毫秒级,满足航迹精确计算的需要.%Aiming at improving the accuracy of route computation,this paper analyzes the isometric line track formula used in navigation and deduces a rigorous Mercator rhumb line track calculation based on distortion theory of map projection.And with the help of computer algebra system,complex mathematical problems on the route computation of optimization are solved.Finally,an example is given and the results show that the performance of the improved formula is better.
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