自旋致密双星后牛顿哈密顿系统轨道动力学数值研究
发布时间:2018-05-27 22:00
本文选题:哈密顿系统 + 轨道动力学 ; 参考:《天文学报》2012年02期
【摘要】:正由中子星或黑洞构成的旋转致密双星后牛顿哈密顿系统属于相对论二体问题,该系统不但含有丰富的共振和混沌等动力学现象,而且成为探测引力波的理想天然波源.引力体的轨道动力学性质会在引力波中得到反映.因此,实际天体的混沌性既可能是对引力波探测的挑战,又可望是获得观测效应的机遇.本学位论文正是在这样的国际学术氛围下数值研究旋转致密双星后牛顿保守哈密顿动力学问题.基于最小二乘法原理我们构造了单和双标度因子等几种流形改正方法,分别对旋转致密双星后牛
[Abstract]:The Newtonian Hamiltonian system, which is composed of neutron stars or black holes, is a relativistic two-body problem. The system not only contains abundant dynamical phenomena such as resonance and chaos, but also becomes an ideal natural wave source for detecting gravitational waves. The orbital dynamics of gravitational bodies is reflected in gravitational waves. Therefore, the chaos of actual celestial bodies is not only a challenge to the detection of gravitational waves, but also an opportunity to obtain observational effects. It is in this international academic atmosphere that this dissertation numerically studies Newton's conservative Hamiltonian dynamics after rotating dense binary stars. Based on the principle of least square method, several manifold correction methods, such as single and double scaling factors, are constructed.
【作者单位】: 南昌大学理学院;
【分类号】:P136
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