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Media type:
E-Article
Title:
Physics of Eclipsing Binaries. III. Spin–Orbit Misalignment
Contributor:
Horvat, Martin;
Conroy, Kyle E.;
Pablo, Herbert;
Hambleton, Kelly M.;
Kochoska, Angela;
Giammarco, Joseph;
Prša, Andrej
Published:
American Astronomical Society, 2018
Published in:
The Astrophysical Journal Supplement Series, 237 (2018) 2, Seite 26
Language:
Not determined
DOI:
10.3847/1538-4365/aacd0f
ISSN:
0067-0049;
1538-4365
Origination:
Footnote:
Description:
Abstract Binary systems where the axis of rotation (spin) of one or both components is tilted w.r.t. the axis of revolution are called misaligned binary systems. The angle of misalignment, obliquity, has been measured for a handful of stars and extrasolar planets to date. Here, we present a mathematical framework for a complete and rigorous treatment of misalignment and introduce an extension to the public PHOEBE code that implements this framework. We discuss misalignment for the Roche geometry and introduce methods for computing stellar shapes, equilibrium (generalized Lagrange) points of the potential, and minimal requirements for lobe existence. Efficient parameterization of misalignment is proposed in the plane-of-sky coordinates and implementation details in PHOEBE are given alongside the proof-of-concept toy model, comparison with a known misaligned binary DI Her, and comparison with a misaligned planetary system, Kepler-13. We provide important mathematical details of the model in the Appendix. This paper accompanies the release of PHOEBE 2.1, which is available from its website, http://phoebe-project.org.