双星的重力暗化和亮化
Gravity darkening and brightening in binaries
摘要：
我们应用冯Zeipel重力暗化模型，以获得一个简单的，解析表达式的新兴辐射通量从潮汐扭曲的主要轨道上的点质量的二次。我们采用一个简单的Roche模型来确定原初、假定有质量和中心凝聚的包线结构，并利用这些结果来计算通量。至于单个旋转的恒星，重力变暗减少了沿恒星赤道的主要通量，但与旋转的恒星，我们发现，重力增亮增强了恒星两极周围的区域的通量。我们确定了一个临界极限分离超过流体静力平衡不再是可能的，从而通量消失在恒星赤道上的主要面向同伴的点。对于等质量的双星，当达到这个极限距离时，总光度会减少约13%。
英文摘要：
We apply a von Zeipel gravity darkening model to corotating binaries to obtain a simple, analytical expression for the emergent radiative flux from a tidally distorted primary orbiting a point-mass secondary. We adopt a simple Roche model to determine the envelope structure of the primary, assumed massive and centrally condensed, and use the results to calculate the flux. As for single rotating stars, gravity darkening reduces the flux along the stellar equator of the primary, but, unlike for rotating stars, we find that gravity brightening enhances the flux in a region around the stellar poles. We identify a critical limiting separation beyond which hydrostatic equilibrium no longer is possible, whereby the flux vanishes at the point on the stellar equator of the primary facing the companion. For equal-mass binaries, the total luminosity is reduced by about 13 % when this limiting separation is reached.
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