Variable Sine Algorithmic Analysis (VSAA): A new method of frequency analysis - Applications

TL;DR

This paper introduces VSAA, a novel frequency analysis method based on a variable sine function and simplex algorithm, effective for phenomena driven by a single mechanism where traditional methods struggle, demonstrated on binary star orbital variations.

Contribution

The paper presents VSAA, a new frequency analysis technique that outperforms Fourier and Wavelet methods in specific single-mechanism phenomena, with practical astrophysical applications.

Findings

Successfully analyzed orbital period variations of binary stars

Revealed subsurface magnetic field changes using VSAA

Demonstrated limitations of Fourier and Wavelet methods in these cases

Abstract

A new method of frequency analysis is presented in detail. This new method - Variable Sine Algorithmic Analysis, (VSAA) - is based on a single variable sine function and it is powered by the simplex algorithm. It is used in cases of phenomena triggered by a single mechanism, where Fourier Transform and Wavelet Analysis fail to describe practically and efficiently. Applications are given on the orbital period variation of two RS CVn type binaries: RS CVn itself and CG Cyg. With the use of the Applegate's mechanism, the variation of their subsurface magnetic field has been acquired.