双星中的动力学潮汐：Zahn公式实现中的不一致性
Dynamical tides in binaries: Inconsistencies in the implementation of Zahn's prescription
AI总结：
本研究指出双星演化代码中带辐射阻尼的动力学潮汐实现与Zahn原始理论不一致，推导了圆轨道同步演化新解析解并提出偏心轨道现成方程，对比发现错误公式会导致潮汐力矩强度估算偏差。
AI中文摘要：
双星演化代码是帮助理解双星系统演化的重要工具，涵盖恒星演化、恒星相互作用、质量转移、潮汐、轨道演化等大量物理过程。由于其中许多过程难以详细解释，我们通常依赖早期研究中得出的经验公式。我们指出，在许多研究中，带辐射阻尼的动力学潮汐的影响的实现方式与其原始理论表述不一致。我们推导了圆轨道情况下向同步化演化的新解析解，并提出了可用于星族合成研究的偏心轨道情况的现成方程。我们通过研究主序星模型向同步化的演化受何影响，将新公式得到的潮汐力矩强度与文献中常用公式得到的强度进行了比较。我们得出结论：正如许多双星代码中所做的那样，使用不正确的潮汐力矩公式时，带辐射阻尼的动力学潮汐的强度会被高估或低估，具体取决于恒星是接近还是远离同步状态。
英文摘要：
Binary evolution codes are essential tools to help in understanding the evolution of binary systems. They contain a great deal of physics, for example stellar evolution, stellar interactions, mass transfer, tides, orbital evolution. Since many of these processes are difficult to account for in detail, we often rely on prescriptions obtained in earlier studies. We highlight that the impact of the dynamical tides with radiative damping has been implemented inconsistently with respect to its original theoretical formulation in many studies. We derive a new analytical solution for the evolution toward synchronization in the case of circular orbits and propose turnkey equations for the case of eccentric orbits that can be used in population synthesis studies. We compare the strength of the tidal torque obtained with this new formula with respect to that obtained with the formula generally used in literature by studying how the evolution toward synchronization of main sequence stellar models is affected. We conclude that by using an incorrect formula for the tidal torque, as has been done in many binary codes, the strength of the dynamical tides with radiative damping is over- or underestimated depending on whether the star is close to or far from synchronization.
