OBSERVATIONS and MODELS of ECLIPSING BINARY SYSTEMS by Jeffrey L. Coughlin Adviser Dr. Richard M. Williamon a Thesis Submitted T
Total Page:16
File Type:pdf, Size:1020Kb
OBSERVATIONS AND MODELS OF ECLIPSING BINARY SYSTEMS by Jeffrey L. Coughlin Adviser Dr. Richard M. Williamon A thesis submitted to the Faculty of Emory College of Emory University in partial fulfillment of the requirements of the degree of Bachelor of Sciences with Honors Department of Physics 2007 ABSTRACT Eclipsing binary systems form the fundamental basis of Astronomy in the sense that they are the primary means to determine fundamental stellar astrophysical quantities such as mass, radius, and temperature. Furthermore, they allow us to study the internal dynamos and resulting magnetic cycles of stars that we would normally only be able to study for one star, our Sun. The systems themselves are extremely interesting objects, consisting of a multitude of configurations that are tied together by a complex evolutionary history. Finally, they allow us to test theories of stellar structure and even General Relativity. Thus the accurate observation and modeling of these systems is of great importance to the field. The first three chapters of this thesis are devoted to acquainting a reader with a general science background, but no knowledge of Astronomy, to eclipsing binaries and the field in general, and should provide the reader with an adequate background to understand the rest of the thesis. The subsequent eight chapters are each devoted to the analysis of eight separate systems that I have studied while at Emory, with each chapter arranged as would be generally found in a journal article. The collected data, models, and derived parameters for each system are analyzed in context to previous findings and general trends seen throughout the thesis. An evolutionary scenario for the formation of A and W type W Uma systems, with two types of near-contact systems as precursors and intermediates, is proposed. ACKNOWLEDGEMENTS My sincerest thanks to my advisor, Richard Williamon, for providing me with a truly exceptional undergraduate background and inspiring me to pursue a career in Astronomy. You have always left your door wide open to my endless questions. This is the greatest quality I could have ever asked for in an adviser. My thanks to Horace Dale for teaching me all I know about photometry, data processing, instrumentation, and the many black arts of Astronomy that are normally missed in an undergraduate education. You are a truly a renaissance man, and have taught me to never neglect the smallest detail nor task. My thanks to J. Scott Shaw for patiently mentoring me this past summer, and introducing me to the “joys” of IRAF. My thanks to Jason Boss for setting up the Astromac for my modeling. My thanks to all the Astronomy students I have taught for showing me the joy of revealing the wonders of the universe to others and inspiring me to become a professor. My thanks to the Physics professors with whom I had morning classes, for being so understanding the many times I was either half-awake or skipped class to sleep having been up all night at the telescope. My thanks to Lowell Observatory for time on their 42” telescope, and to Scholarly Inquiry and Research at Emory (SIRE) for funding my travel to Lowell. Finally, my thanks to Jamie for keeping me company so many times at the telescope, drawing Jeff Jr., and always accompanying me to Java Monkey to work on my thesis. CONTENTS I. Introduction to Eclipsing Binaries and Astronomical Measurements 1.1 Definition of Eclipsing Binary Stars . 1 1.2 System Parameters . 1 1.3 Naming Conventions and System Classification . 3 1.4 Measurements of Brightness and Time . 6 1.5 Stellar Spectra and Radial Velocity . 8 1.6 Telescopes and CCD Cameras . 10 1.7 Photometry . 12 II. Minimum Timings and O-C Diagrams 2.1 Time of Minima and Resulting Science . 14 2.2 The Kwee-van Woerden Method . 14 2.3 O-C Diagrams . 15 III. Light Curve Modeling 3.1 Basic Concepts . 16 3.2 The Physics of Eclipsing Binary Models . 16 3.3 Solution Schemes in Multi-Parameter Space . 18 3.4 Currently Employed Codes . 19 IV. RT Andromedae 4.1 Background . 21 4.2 Observations . 22 4.3 Minimum Timings and O-C Diagram . 22 4.4 Light Curves and Modeling . 27 4.5 Results . 39 4.6 Discussion . 42 V. TU Bootis 5.1 Background . 43 5.2 Observations . 43 5.3 Minimum Timings and O-C Diagram . 44 5.4 Light Curves and Modeling . 47 5.5 Results . .. 49 5.6 Discussion . .. 50 VI. KV Geminorum 6.1 Background . .. 52 6.2 Observations . 53 6.3 Minimum Timings and O-C Diagram . 53 6.4 Light Curves and Modeling . 56 6.5 Results . 58 6.6 Discussion . 60 VII. UU Lyncis 7.1 Background . 61 7.2 Observations . 61 7.3 Minimum Timings and O-C Diagram . 61 7.4 Light Curves and Modeling . 64 7.5 Results . 66 7.6 Discussion . 67 VIII. MY Cygni 8.1 Background . 68 8.2 Observations . 69 8.3 Minimum Timings and O-C Diagram . 69 8.4 Light Curves and Modeling . 74 8.5 Results . 74 8.6 Discussion . 74 IX. KR Persei 9.1 Background . 76 9.2 Observations . 76 9.3 Minimum Timings and O-C Diagram . 77 9.4 Light Curves and Modeling . 79 9.5 Results . 79 9.6 Discussion . 79 X. RU Eridani 10.1 Background . 81 10.2 Observations . 81 10.3 Minimum Timings and O-C Diagram . 81 10.4 Light Curves and Modeling . 84 10.5 Results . 86 10.6 Discussion . 87 XI. YY Ceti 11.1 Background . 88 11.2 Observations . 88 11.3 Minimum Timings and O-C Diagram . 88 11.4 Light Curves and Modeling . 89 11.5 Results . .. 92 11.6 Discussion . .. 93 XII. References . 94 LIST OF FIGURES 1.1 Eclipsing Binary Illustration . 3 1.2 Gravitational Potential Distribution . 5 1.3 UBVRI Transmission Curves . 6 1.4 HJD Correction Diagram . 7 1.5 Cassegrain Telescope Diagram . 10 4.1 Williamon’s (1974) O-C Diagram . 23 4.2 RT And O-C Diagram . 26 4.3 RT And Fitted Kjurkchieva’s Model . 28 4.4 RT And Fitted with Pribulla’s Model . 29 4.5 RT And 1974 Light Curve . 31 4.6 RT And Oct. 15th 2004 Light Curve . 32 4.7 RT And Nov. 8th – 9th 2004 Light Curve . 33 4.8 RT And Sept. 12th – 14th 2005 Light Curve . 34 4.9 RT And Sept. 30th – Oct. 3rd 2005 Light Curve . 35 4.10 RT And Oct. 27th – 28th 2005 Light Curve . 36 4.11 RT.