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The Tools of the Trade and the Products they Produce: Modeling of Eclipsing Binary Observables

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Short-Period Binary Stars: Observations, Analyses, and Results

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 352))

In this volume we have been discussing the significance, and observational and theoretical state of knowledge of, short-period binaries, binary stars that encompass the entire close-binary realm from unevolved binaries to black hole systems. The purpose of this portion of the volume is to report on results from systems less evolved than black–holes, neutron stars, and white dwarfs, and in doing this to emphasize both the current modeling techniques developed to analyze them, and those on the horizon. Some of our suggestions for future development may allow the tools to be used for systems with more evolved components.

In this paper, we discuss some parameter–fitting techniques for eclipsing binary light curves1 making primary use of the Wilson–Devinney model in and with various programs. These include the simplex method, damped least squares, Powell's direction methods, and metaheuristic search techniques such as simulated annealing and genetic algorithms. We describe the results of applications of some of these techniques to eclipsing binaries across a range of contact configurations and evolutionary states, and, by a not quite trivial extension, to planetary eclipses in extra–solar systems.

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Milone, E.F., Kallrath, J. (2008). The Tools of the Trade and the Products they Produce: Modeling of Eclipsing Binary Observables. In: Short-Period Binary Stars: Observations, Analyses, and Results. Astrophysics and Space Science Library, vol 352. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6544-6_11

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