An improved algorithm to compute circular functions of Poisson series |
| |
| Authors: | María del Carmen Martínez Juan F Navarro José Manuel Ferrándiz |
| |
| Institution: | (1) Dpto. de Matemática Aplicada, Escuela Politécnica Superior, Universidad de Alicante, P.O. Box 99, Alicante, 03080, Spain |
| |
| Abstract: | The efficiency in the computation of circular functions, such as cos(u) or sin(u), where u is a Poisson series, is important to derive accurate solutions of many problems of Celestial Mechanics, for instance, the
orbital or rotational perturbed motion of natural or artificial bodies, since expansions in terms of Legendre functions and
multiple Fourier series appear almost everywhere. Therefore, it is worth searching for alternative algorithms with lower computational
cost. In this article, we propose a method based on the idea of elimination, which was originally applied to solve numerical
problems, mainly in the case of matrix functions. Our comparisons with the traditional Taylor expansion prove that this new method can be more efficient when applied to compute the sine and cosine of a Poisson series. |
| |
| Keywords: | Symbolic computation Poisson series Elimination method |
| 本文献已被 SpringerLink 等数据库收录！ |
|
