Two methods for the light curves extrema determination

TL;DR

This paper introduces two matrix calculus-based methods for accurately determining light curve extrema and their uncertainties, tailored for non-periodic and periodic variable star analysis.

Contribution

It presents two novel methods specifically designed for different types of variable star light curve analysis, enhancing precision in extrema timing.

Findings

Method I effectively determines extrema for non-periodic variables.

Method II improves O-C analysis for periodic variables.

Both methods provide reliable uncertainty estimates.

Abstract

Two methods for the determination of extrema timings and their uncertainties appropriate for the analysis of time series of variable stars using matrix calculus are presented. The method I is suitable for determination of times of extrema of non-periodical variables or objects, whose light curves vary. The method II is apt for O-C analyses of objects whose light curves are more or less repeating.