研究了一种利用Jacobi多项式计算倾角函数的方法,该方法表达式非常简单,不存在k和l是否同奇偶和计算非整数阶乘的问题,也不存在k〈0和k≥0的转换问题,递推公式可使用标准的Jacobi多项式的递推公式.而且,计算精度和适应阶数可与Gooding方法相当,计算时间比Gooding方法省9%.
In this paper, a method to calculate the inclination function with Jacobi polynomials is introduced. Its expressions are very simple. With this method, it is unnecessary to distinguish whether k and l have the same parity, to calculate the non-integral factorial, and to convert from k 〈 0 to k ≥ 0. We can use the standard Jacobi polynomial program to compute inclination function. Its accuracy is the same as Gooding's method, and the computing time is 9% less than Gooding's.