论文标题
旋转的爱：旋转牛顿星的动态潮流
Rotating Love: The dynamical tides of spinning Newtonian stars
论文作者
论文摘要
我们仔细地开发了在牛顿引力的背景下，在灵感的二进制系统中对旋转中子星的动态潮汐响应进行建模所需的框架，并确保在现有文献中包括所有相关的细节和连接。潮汐扰动是根据正常振荡模式分解的，用于得出有效的爱情数字的表达式，这对于任何旋转率有效。与以前的问题相反，我们的分析突出了与动态潮汐模式表示所需的正交条件有关的微妙问题，并显示了前列腺和逆行模式如何合并以提供整体潮汐响应。利用缓慢的旋转扩展，我们表明，动态潮汐（有效的爱数）在旋转的一阶校正，而在静态潮汐（静态爱情号）的情况下，旋转校正在第二阶之前才进入。
We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections to the existing literature. The tidal perturbation is decomposed in terms of the normal oscillation modes, used to derive an expression for the effective Love number which is valid for any rotation rate. In contrast to previous work on the problem, our analysis highlights subtle issues relating to the orthogonality condition required for the mode-sum representation of the dynamical tide and shows how the prograde and retrograde modes combine to provide the overall tidal response. Utilising a slow-rotation expansion, we show that the dynamical tide (the effective Love number) is corrected at first order in rotation, whereas in the case of the static tide (the static Love number) the rotational corrections do not enter until second order.
