标题： 不同校正图在扩展相空间方法中对旋转致密双星的性能 显示英文标题

标题： Performance of different correction maps in the extended phase-space method for spinning compact binaries

摘要： 自LIGO/VIRGO团队首次探测到引力波以来，相关研究领域引起了更多关注。 旋转致密双星系统作为宽带激光干涉仪的引力波源之一，已被相关研究人员广泛研究。 为了使用匹配滤波技术分析引力波信号，需要可靠的数值算法。 在后牛顿（PN）天体力学中的旋转致密双星系统具有不可分离的哈密顿量。 扩展相空间算法是解决该系统问题的有效方法。 在我们之前的工作中，我们为扩展相空间方法开发了校正图，这仅通过一个动量尺度因子显著提高了该方法的精度和稳定性。 在本文中，我们将添加更多的尺度因子来修改数值解，以最小化运动常数中的误差。 然而，我们发现这些校正图会导致混沌轨道中哈密顿量的子项出现较大的能量偏差，其势能、动能等计算不准确。 我们开发了新的校正图来减少哈密顿量子项的能量偏差，这可以提高数值解的精度，并为其他算法中流形校正的应用提供了新思路。 显示英文摘要

摘要： Since the first detection of gravitational waves by the LIGO/VIRGO team, the related research field has attracted more attention. The spinning compact binaries system, as one of the gravitational-wave sources for broadband laser interferometers, has been widely studied by related researchers. In order to analyze the gravitational wave signals using matched filtering techniques, reliable numerical algorithms are needed. Spinning compact binaries systems in Post-Newtonian (PN) celestial mechanics have an inseparable Hamiltonian. The extended phase-space algorithm is an effective solution for the problem of this system. We have developed correction maps for the extended phase-space method in our previous work, which significantly improves the accuracy and stability of the method with only a momentum scale factor. In this paper, we will add more scale factors to modify the numerical solution in order to minimize the errors in the constants of motion. However, we find that these correction maps will result in a large energy bias in the subterms of the Hamiltonian in chaotic orbits, whose potential and kinetic energy, etc. are calculated inaccurately. We develop new correction maps to reduce the energy bias of the subterms of the Hamiltonian, which can instead improve the accuracy of the numerical solution and also provides a new idea for the application of the manifold correction in other algorithms.