旋转致密双星后牛顿轨道的引力波研究

Study on gravitational waveform from post-Newtonian orbits of spinning compact binary

本文利用辛算法和功率谱研究旋转致密双星保守的后牛顿哈密顿系统的引力辐射,讨论了系统的动力学参量、旋转-轨道耦合、旋转-旋转耦合效应及轨道类型对后牛顿近似引力波形的影响.数值结果表明有序轨道的引力波随时间呈周期性地变化,而混沌轨道引力波的变化具有混沌性,并且轨道的混沌特性可提高引力波的辐射能量,尤其指出的是旋转参量大小对引力波形的变化发挥至关重要的作用.

The purpose of this paper is to investigate the effects of the dynamical parameters, the spin-orbit coupling, the spin-spin coupling and the classification of orbits on the gravitational waveforms emitted by the conservative post-Newtonian Hamiltonian system for the spinning compact binaries by means of symplectic integrator and power spectrum. The numerical results show that the gravitational waveforms of ordered orbits vary periodically with time, while those of chaotic orbits are stochastic under the radiation-reaction force turning off. In particular, the chaotic dynamic behavior can enhance the strength of emission power. In addition, the magnitude of the spin parameter does exert a significant influence on the gravitational waveforms.