Recursive Harmonic Analysis for Computational of Hansen Coefficients

TL;DR

This paper introduces a straightforward numerical recursive harmonic analysis method for computing Hansen coefficients, offering high precision and utility for verifying existing algorithms and expanding Hansen-like series.

Contribution

The paper presents a novel recursive harmonic analysis technique specifically designed for efficient and accurate computation of Hansen coefficients.

Findings

High-precision Hansen coefficient calculations achieved

Method effectively verifies the accuracy of existing algorithms

Applicable to Hansen's and similar series expansions

Abstract

This paper reports on a simple pure numerical method developed for computing Hansen coefficients by using recursive harmonic analysis technique. The precision criteria of the computations are very satisfactory and provide materials for computing Hansen's and Hansen's like expansions, also to check the accuracy of some existing algorithms.