多元周期函数的半数值展开

A Semi-Numerical Expansion of Mutivariate Periodic Function

本文给出了多元周期函数的半数值展开的数学依据;讨论了这种半数值展开在计算机上的实现;并用月球主问题的摄动函数进行了验证。结果表明这种半数值展开与文字展开符合得很好;并讨论了用这种方法求解摄动方程的优越性。

This paper reports on the mathematical basis for the seminumerical development of the multivariate periodic function.How this semi-numerical development is realized with the aid of a computer is studied.This development is examined and tested by means of the disturbing function of the luner main problem.The results show that the development is in accordance with the literal expansion very well.The advantage of this method in solving the perturbation equation is also discussed.