Modeling and Analysis of Eclipsing Binary Stars provides a comprehensive review of the physical and observational aspects of eclipsing binaries, and the modeling code, PHOEBE (PHysics Of Eclipsing BinariEs), that is used by a large number of researchers in this field. Aimed at students, researchers and astronomers, this book is the foundation of knowledge for eclipsing binaries and their subsequent modeling.

"The fascinating and observationally spectacular world of binary stars is a vast and beautiful one that is a significant aspect of many astrophysical studies. Modeling and Analysis of Eclipsing Binary Stars gives a comprehensive analysis and description of the science behind eclipsing binaries. It also explores the assumptions and the difficulties that can occur when using the modeling principles of the classical codes as well as introducing PHOEBE (the PHysics Of Eclipsing BinariEs)--a modern suite for modeling binary stars. PHOEBE was conceived by Andrej Prša and his collaborators, and has become one of the standard tools in the eclipsing binary field."--Source : résumé de l'éditeur.

Focussing on the formulation of mathematical models for the light curves of eclipsing binary stars, and on the algorithms for generating such models, this book provides astronomers, both amateur and professional, with a guide for - specifying an astrophysical model for a set of observations - selecting an algorithm to determine the parameters of the model - estimating the errors of the parameters. It is written for readers with knowledge of basic calculus and linear algebra; appendices cover mathematical details on such matters as optimisation, co-ordinate systems, and specific models. While emphasising the physical and mathematical framework, the discussion remains close to the problems of actual implementation. The book concludes with chapters on specific models and approaches and the authors'views on the structure of future light-curve programs.

This book focuses on the formulation of mathematical models for the light curves of eclipsing binary stars, and on the algorithms for generating such models. Since information gained from binary systems provides much of what we know of the masses, luminosities, and radii of stars, such models are acquiring increasing importance in studies of stellar structure and evolution. As in other areas of science, the computer revolution has given many astronomers tools that previously only specialists could use; anyone with access to a set of data can now expect to be able to model it. This book will provide astronomers, both amateur and professional, with a guide for - specifying an astrophysical model for a set of observations - selecting an algorithm to determine the parameters of the model - estimating the errors of the parameters It is written for readers with knowledge of basic calculus and linear algebra; appendices cover mathematical details on such matters as optimization, coordinate systems, and specific models. While emphasizing the physical and mathematical framework, the discussion remains close to the problems if actual implementation. It begins with an overview of the problem and a discussion of the observational data that form the basis of any model. The treatment then turns to the direct problem (computing the light curve and other observables from the a given set of parameters) and then to the indirect problem (determining a best-fit set of parameters from the data). The book concludes with chapters on specific models and approaches and the authors' views on the structure of future light- curve programs.

In the two decades since the development of the first eclipsing-binary modeling code, new analytic techniques and the availability of powerful, sometimes dedicated computing facilities have made possible vastly improved determinations of fundamental and even transient stellar parameters. The scale of these developments, of course, raises questions about modeling tools, techniques, and philosophies, such as: Who will maintain and upgrade the codes? Will the codes be open to improvement by outsiders, and if so, how? And, indeed, what should be the goals of a modeling program? Such questions had not been aired for a long time and, for this reason alone, deserved to be discussed in as general a forum as the community provides. This volume contains material presented by Commission 42 (Close Binary Stars) during the International Astronomical Union's XXI General Assembly in Argentina, July 1991, and during IAU Colloquium 151, Cordoba, Argentina, August 1991. The techniques discussed include simulations of stellar bright and dark spots, streams, partial and complete stellar disks, prominences, and other features characterizing active stars; modeling of polarization parameters; models that use radial velocities as well as line profile simulations to model velocity field variation across stellar disks; the weighted effects of brightness asymmetries; and models for translucent eclipsing agents such as stellar winds.

The second set of The Encyclopedia of Cosmology, in three volumes, continues this major, long-lasting, seminal reference at the graduate student level laid out by the most prominent researchers in the general field of cosmology. Together, these volumes will be a comprehensive review of the most important current topics in cosmology, discussing the important concepts and current status in each field, covering both theory and observation.These three volumes are edited by Dr Giovanni Fazio from the Center for Astrophysics | Harvard & Smithsonian, with each volume authored or edited by specialists in the area: Modified Gravity by Claudia de Rham and Andrew Tolley (Imperial College), Neutrino Physics and Astrophysics edited by Floyd Stecker (NASA/Goddard Space Flight Center), Black Holes edited by Zoltan Haiman (Columbia University). These volumes follow the earlier publication in 2020 of The Encyclopedia of Cosmology, which comprises the following four volumes: Galaxy Formation and Evolution by Rennan Barkana (Tel Aviv University), Numerical Simulations in Cosmology edited by Kentaro Nagamine (Osaka University / University of Nevada), Dark Energy by Shinji Tsujikawa (Tokyo University of Science), and Dark Matter by Jihn E Kim (Seoul National University). The Encyclopedia aims to provide an overview of the most important topics in cosmology and serve as an up-to-date reference in astrophysics.

It is now clear that a binary evolutionary pathway is responsible for a significant fraction of all planetary nebulae, with some authors even going so far as to claim that binarity may be a near requirement for the formation of an observable nebula. This has led to the requirement that textbooks most likely need to be rewritten. Building upon the review of Jones and Boffin in Nature Astronomy (2017), this Springer Brief takes a first step in this direction. It offers the first expanded presentation of all the theoretical and observational support for the importance of binarity in the formation of planetary nebulae, initially focusing on common envelope evolution but also covering wider binaries. This book emphasises the wider impact of the field, highlighting the critical role binary central stars of planetary nebulae have in understanding a plethora of astrophysical phenomena, including type Ia supernovae, chemically peculiar stars and circumbinary exoplanets.