A calculator for Roche lobe properties

dc.contributor.authorLeahy, Denis Alan
dc.contributor.authorLeahy, Janet C
dc.date.accessioned2015-05-12T21:58:08Z
dc.date.available2015-05-12T21:58:08Z
dc.date.issued2015-05-06
dc.description.abstractBackground The Roche lobe geometry is important to understand and study the properties of the mass-losing component in a semi-detached binary system. However it is not easy to calculate accurately, and existing tables usually do not include the parameters of the binary system under study, nor do they allow for non-synchronous rotation. Results A calculator for properties of the Roche lobe is presented in two formats. An easy-to-use Java version has a graphic interface, and a Fortran 90 version has a command line interface. The Fortran version allows for easy modifications by the user. Both versions have two basic output options: one provides values of a set of various quantities (such as the Lagrange points along the binary axis, and area and volume of the Roche lobe); the second provides , the distance from the stellar center to the stellar surface for any specified polar angle. A single set of input parameters can be entered directly or a large set of input parameters can be specified in a text file. The calculator includes the options to have non-synchronous rotation of the star, or to have the star underfill its Roche lobe. It can be used to calculate Roche lobe properties for the case of elliptical orbits, with some restrictions. Conclusions We present a convenient software tool for quickly and accurately calculating Roche lobe properties for mass ratio in the range 0.01 to 100, for Roche lobe fill-out factor in the range 0.1 to 1.0, and for dimensionless rotation rate of the star in the range 0.1 to 2.0. This will allow anyone working with a binary star system to obtain the Roche lobe or stellar surface geometry for their system.en_US
dc.description.sponsorshipFunding provided by the Open Access Authors Fund.en_US
dc.identifier.citationLeahy, D. A, & Leahy, J. C. (2015). A calculator for Roche lobe properties. Computational Astrophysics and Cosmology, 2(1), 2–7. http://doi.org/10.1186/s40668-015-0008-8en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/30215
dc.identifier.urihttp://hdl.handle.net/1880/50423
dc.language.isoenen_US
dc.publisherSpringerOpenen_US
dc.publisher.corporateUniversity of Calgary
dc.publisher.departmentPhysics and Astronomyen_US
dc.publisher.facultyScienceen_US
dc.publisher.institutionUniversity of Calgaryen_US
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectStarsen_US
dc.subjectBinariesen_US
dc.titleA calculator for Roche lobe propertiesen_US
dc.typejournal article
thesis.degree.disciplinePhysics and Astronomy
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