本文選題：哈密頓系統(tǒng) + 軌道動力學��； 參考：《天文學報》2012年02期

【摘要】：正由中子星或黑洞構成的旋轉致密雙星后牛頓哈密頓系統(tǒng)屬于相對論二體問題,該系統(tǒng)不但含有豐富的共振和混沌等動力學現(xiàn)象,而且成為探測引力波的理想天然波源.引力體的軌道動力學性質(zhì)會在引力波中得到反映.因此,實際天體的混沌性既可能是對引力波探測的挑戰(zhàn),又可望是獲得觀測效應的機遇.本學位論文正是在這樣的國際學術氛圍下數(shù)值研究旋轉致密雙星后牛頓保守哈密頓動力學問題.基于最小二乘法原理我們構造了單和雙標度因子等幾種流形改正方法,分別對旋轉致密雙星后牛
[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.
【作者單位】： 南昌大學理學院;
【分類號】：P136

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