Researcher ORCID Identifier
0000-0002-7303-8144
Graduation Year
2023
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Ghassan Sarkis
Terms of Use & License Information
Rights Information
© 2023 Vera L Berger
Abstract
With a novel sample of 495 high-cadence light curves for stellar flares in the near-ultraviolet, I explore similarity measures, clustering algorithms, averaging methods, and curve fitting techniques for time series. This work seeks to provide insight into whether stellar flares are similar across stars, if we can identify physically meaningful patterns in their light curves, and how to construct a comprehensive model for flares. I construct the first empirical template for flare light curves in the ultraviolet, and compute ``average elements" of flares displaying complex features such as quasi-periodic oscillations and multipeak structures. Developing accurate models for flares in the ultraviolet will be critical to constrain properties of stellar flares and characterize the impact of flare emission on planets orbiting flaring stars.
Recommended Citation
Berger, Vera, "Clusters, Curves, and Centroids: Stellar Flare Morphology in the Ultraviolet" (2023). Pomona Senior Theses. 322.
https://scholarship.claremont.edu/pomona_theses/322
Included in
Applied Mathematics Commons, Mathematics Commons, Stars, Interstellar Medium and the Galaxy Commons, Theory and Algorithms Commons