We analyze accretion-rate time series for equal-mass binaries in coplanar gaseous disks spanning a continuous range of orbital eccentricities up to 0.8 for both prograde and retrograde systems. The dominant variability timescales match those of previous investigations; the binary orbital period is dominant for prograde binaries with e ≳ 0.1, with a 5 × longer “lump” period taking over for e ≲ 0.1. This lump period fades and drops from 5 × to 4.5 × the binary period as e approaches 0.1, where it vanishes. For retrograde orbits, the binary orbital period dominates at e ≲ 0.55 and is accompanied by a 2 × longer timescale periodicity at higher eccentricities. The shape of the accretion-rate time series varies with binary eccentricity. For prograde systems, the orientation of an eccentric disk causes periodic trading of accretion between the binary components in a ratio that we report as a function of binary eccentricity. We present a publicly available tool, binlite, that can rapidly (≲0.01 s) generate templates for the accretion-rate time series onto either binary component for choice of binary eccentricity below 0.8. As an example use case, we build lightcurve models where the accretion rate through the circumbinary disk and onto each binary component sets contributions to the emitted specific flux. We combine these rest-frame, accretion-variability lightcurves with observer-dependent Doppler boosting and binary self-lensing. This allows a flexible approach to generating lightcurves over a wide range of binary and observer parameter space. We envision binlite as the access point to a living database that will be updated with state-of-the-art hydrodynamical calculations as they advance.

中文翻译：

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计算偏心双星光度变化的快速方法：增强、透镜和可变吸积


我们分析了共面气态盘中等质量双星的吸积率时间序列，对于顺行和逆行系统，跨越连续的轨道偏心率范围，最高可达 0.8。主要的可变性时间尺度与以前的研究相匹配;双轨道周期在 E ≳ 0.1 的顺行双星中占主导地位，而 E ≲ 0.1 的 5 × “块状”周期取代了它。当 e 接近 0.1 时，这个团块周期会从 5 × 下降到双× 4.5，然后消失。对于逆行轨道，双轨道周期在 e ≲ 0.55 处占主导地位，并在较高的偏心率下伴随着 2 × 更长的时间尺度周期。吸积率时间序列的形状随双偏心率而变化。对于顺行系统，偏心盘的方向会导致双元分量之间以双偏心率的函数报告比率进行周期性的吸积交易。我们提出了一个公开可用的工具 binlite，它可以快速 （≲0.01 s） 在任一二进制分量上生成吸积率时间序列的模板，以选择低于 0.8 的二进制偏心率。作为一个示例用例，我们构建了 lightcurve 模型，其中通过环二元圆盘并施加到每个二进制分量上的吸积率对发射的特定通量有贡献。我们将这些静止帧、吸积可变性光曲线与观察者依赖性的多普勒增强和二进制自透镜相结合。这允许使用一种灵活的方法在各种二进制和观察者参数空间上生成光照曲线。我们将 binlite 设想为一个活数据库的接入点，随着数据库的发展，该数据库将更新为最先进的流体动力学计算。