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研究生： 廖思涵
Szu-Han Liao
論文名稱： Advancing Period-Luminosity Analysis for Contact Binaries
指導教授： 饒兆聰
Chow-Choong Ngeow
口試委員:
學位類別： 碩士
Master
系所名稱： 理學院 - 天文研究所
Graduate Institute of Astronomy
論文出版年： 2025
畢業學年度： 113
語文別： 英文
論文頁數： 29
中文關鍵詞： 密接雙星 、週期-光度關係
外文關鍵詞： Contact binary, period-luminosity relationship
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    • 在上一個研究中，我們透過史維基瞬變設備（ZTF）的gr(i)波段光變曲線數據，建立了晚型密接雙星的週期-光度（PL）關係。以上個研究為基礎，我們的新研究旨在探討主星溫度及系統總質量對PL關係殘差的影響。為此，我們使用了ZTF光變曲線、Gaia DR3的視差數據以及WuMaCat中的多項物理參數，針對700個密接雙星樣本進行分析。透過整合這些數據，我們期望能對密接雙星的PL關係獲得更深入的理。我們的研究發現質量比、溫和系統總質量並不會對PL關係有明顯的改善，所以單就軌道週期仍然是預測密接雙星光度最主要的因素。

    In Ngeow et al. 2021 [6] study, we established a correlation between the periods and luminosity using gr(i)-band light curve data for late-type contact binaries from Zwicky Transient Facility(ZTF). Building on this, our new research aims to investigate how the primary star’s temperature and total system mass influence the residuals of the period-luminosity (PL) relation. To achieve this, we utilized light curve from ZTF, parallax from Gaia DR3 and other indices from WUMaCat for a sample of 700 contact binaries. By integrating these datasets, we anticipate gaining deeper insights into the PL relation for contact binaries. Our analysis shows that mass ratio, temperature, and total mass do not significantly improve the PL relation, suggesting that orbital period alone remains the most robust predictor of luminosity in contact binaries.

    List of Symbols vi 1 Introduction . . . 1 1.1 Contact binary . . . 1 1.2 Period-Luminosity Relationship of Contact Binary . . . 2 1.3 Research Motivation . . . 3 2 Observational Data . . . 4 2.1 WUMaCat . . . 4 2.2 Zwicky Transient Facility . . . 4 2.3 Gaia Data Release 3 . . . 4 3 Data Analysis . . . 5 3.1 Extinction Correction . . . 5 3.2 Period Search - Lomb-Scargle Period Analysis . . . 6 3.3 Period-Luminosity-Mass Ratio Relationship . . . 9 3.4Period-Luminosity-Temperature Relationship . . . 11 3.5 Period-Luminosity-Temperature-Total Mass Relationship . . . 13 4 Discussion . . . 15 5 Conclusion and Future Prospects . . . 16 Bibliography . . . 18

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    [2] D. Ćoker, S. Özdemir, C. Ye¸silyaprak, S. K. Yerli, N. Aksaker, and B. B. Gücsav. A Study on W Ursae Majoris-Type Systems Recognised by the
    ROTSE-IIId Experiment. , 30:e013, January 2013.
    [3] Gregory M. Green, Edward Schlafly, Catherine Zucker, Joshua S. Speagle, andDouglas Finkbeiner. A 3D Dust Map Based on Gaia, Pan-STARRS 1, and 2MASS. , 887(1):93, December 2019.
    [4] Olivera Latković, Atila Čeki, and Sanja Lazarević. Statistics of 700 Individually Studied W UMa Stars. , 254(1):10, May 2021.
    [5] N. Mowlavi, B. Holl, I. Lecoeur-Taïbi, F. Barblan, A. Kochoska, A. Prša, T. Mazeh, L. Rimoldini, P. Gavras, M. Audard, G. Jevardat de Fombelle, K. Nienartowicz, P. García-Lario, and L. Eyer. Gaia Data Release 3. The first Gaia catalogue of eclipsing-binary candidates. , 674:A16, June 2023.
    [6] Chow-Choong Ngeow, Szu-Han Liao, Eric C. Bellm, Dmitry A. Duev, Matthew J. Graham, Ashish A. Mahabal, Frank J. Masci, Michael S. Medford, Reed Riddle, and Ben Rusholme. Zwicky Transient Facility and Globular Clusters: the Period-Luminosity and Period-Luminosity-Color Relations for Late-type Contact Binaries. , 162(2):63, August 2021.
    [7] S. M. Ruciński. The W UMa-type Systems as Contact Binaries. I. Two Methods of Geometrical Elements Determination. Degree of Contact. , 23:79, January 1973.
    [8] S. M. Rucinski. A Simple Description of Light Curves of W UMa Systems. , 105:1433, December 1993.
    [9]Jacob T. VanderPlas. Understanding the Lomb-Scargle Periodogram. , 236(1):16, May 2018.
    [10] Jacob T. VanderPlas and eljko Ivezic. Periodograms for multiband astronomical time series. The Astrophysical Journal, 812(1):18, October 2015.

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