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. 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 $R(\theta,\phi)$ , 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. 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.

中文翻译：

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罗氏叶特性的计算器

罗氏波瓣的几何形状对于理解和研究半分离二元系统中质量损失成分的特性很重要。但是，要准确地计算并不容易，现有表通常不包含正在研究的二进制系统的参数，也不允许非同步旋转。罗氏瓣特性计算器有两种格式。易于使用的Java版本具有图形界面，而Fortran 90版本具有命令行界面。Fortran版本允许用户轻松修改。两种版本都有两个基本的输出选项：一个提供一组不同量的值（例如沿二进制轴的拉格朗日点以及罗氏叶的面积和体积）；第二个提供$ R（\ theta，\ phi）$，对于任何指定的极角，从恒星中心到恒星表面的距离。可以直接输入一组输入参数，也可以在文本文件中指定大量输入参数。计算器包括使恒星不同步旋转或使恒星未充满其罗氏瓣的选项。它可以用于计算椭圆轨道情况下的罗氏波瓣特性，但有一些限制。我们提供了一种便捷的软件工具，可快速准确地计算质量比在0.01到100之间，罗氏凸角填充因子在0.1到1.0之间以及恒星的无量纲旋转速率在0.1到100之间的罗氏瓣特性。到2.0。这将使使用双星系统的任何人都能获得其系统的罗氏瓣或恒星表面几何形状。