人造卫星轨道倾角函数的递推公式——杨辉公式的一个应用
Recursive Formula for the Inclination Function of a Satellite Orbit——An Application of Yanghui's Formula
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摘要: 本文应用杨辉二项式系数公式导出人造卫星轨道倾角函数的一组集约化的递推公式。其特点是:(1)公式简单,便于应用;(2)可计算倾角函数的各阶导数;(3)所用数学工具简单,易于理解。Abstract: A set of recursive formula of the function of inclination of the satellite orbit isbased Yanghui's formula of the binomial coefficients introduced. Its distinguishing fec-tures are:(1) that it is convenient to be applied due to its simplicity; (2) that the de-rivatives of high order of the functions can be calculated; (3) that it is easy to be un-derstood, because the mathematical method employed is elementary.