从外拉格朗日点L2质量损失的动力学
Kinematics of Mass Loss from the Outer Lagrange Point L2
摘要：
我们调查运动学的质量损失从附近的第二拉格朗日点L2与应用程序合并双星，共同的信封演变和相关的瞬态增亮。对于弹道粒子的轨迹，我们从L2的初始速度和位置偏移的特征，导致未绑定的外流，回落，随后形成的一个decretion盘，与二进制表面碰撞，或流体动力冲击接近的二进制，其中一些粒子的轨迹循环和自我相交。后两个最终状态仅在轨道以偏离L2或以不同于与双星共转的速度矢量开始时发生。我们发现，竞争之间的时间依赖性和急剧径向减小的潮汐扭矩从二进制，科里奥利力和初始条件导致一个非平凡的分布的结果在附近的L2。具体来说，即使是初速度慢于共转，我们发现，一组初始位置偏移导致未绑定的外流。我们的研究结果将有助于解释流体动力学模拟中的质量损失流的形态。
英文摘要：
We investigate kinematics of mass loss from the vicinity of the second Lagrange point L2 with applications to merging binary stars, common envelope evolution and the associated transient brightenings. For ballistic particle trajectories, we characterize initial velocities and positional offsets from L2 which lead to unbound outflow, fall back followed by a formation of a decretion disk, collision with the binary surface, or a hydrodynamic shock close to the binary, where some particle trajectories loop and self-intersect. The latter two final states occur only when the trajectories are initiated with offset from L2 or with velocity vector different from corotation with the binary. We find that competition between the time-dependent and steeply radially decreasing tidal torques from the binary, Coriolis force and initial conditions lead to a non-trivial distribution of outcomes in the vicinity of L2. Specifically, even for initial velocities slower than corotation, we find that a set of initial position offsets lead to unbound outflows. Our results will aid in the interpretation of the morphology of mass loss streams in hydrodynamic simulations.
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