标题： 来自混沌系统的引力波信号：一个点质量与一个盘面 显示英文标题

标题： Gravitational Wave Signals from Chaotic System: A Point Mass with A Disk

摘要： 我们研究了牛顿引力理论下围绕由点质量和圆盘组成的系统运动的粒子产生的引力波。 在这个系统中，当圆盘面密度的引力贡献与点质量的引力贡献相当的时候，粒子的运动可能是混沌的。 在这样的轨道上，有时我们会发现，在两个更强烈的混沌阶段之间存在一段有限的时间间隔，在此期间，粒子的运动变得几乎规则（所谓的“停滞运动”）。 为了研究这些不同的混沌行为如何影响引力波的观测，我们研究了粒子运动和波之间的相关性。 我们发现，这种混沌运动中的差异反映在波形和能谱上。 停滞运动中的波特征与规则运动或更强混沌运动中的波特征完全不同。 这表明，我们可能通过引力波来区分轨道的不同混沌行为。 显示英文摘要

摘要： We study gravitational waves from a particle moving around a system of a point mass with a disk in Newtonian gravitational theory. A particle motion in this system can be chaotic when the gravitational contribution from a surface density of a disk is comparable with that from a point mass. In such an orbit, we sometimes find that there appears a phase of the orbit in which particle motion becomes to be nearly regular (the so-called ``stagnant motion'') for a finite time interval between more strongly chaotic phases. To study how these different chaotic behaviours affect on observation of gravitational waves, we investigate a correlation of the particle motion and the waves. We find that such a difference in chaotic motions reflects on the wave forms and energy spectra. The character of the waves in the stagnant motion is quite different from that either in a regular motion or in a more strongly chaotic motion. This suggests that we may make a distinction between different chaotic behaviours of the orbit via the gravitational waves.