论文标题
有效的两体方法来解决分层三体问题：四极杆到1pn
Effective two-body approach to the hierarchical three-body problem: quadrupole to 1PN
论文作者
论文摘要
引力波天文学的许多感兴趣的二元系统都是由第三遥远的机构旋转的，这可以极大地改变其相对论动态。需要精确计算以了解相对论校正和三体相互作用之间的相互作用。我们使用有效的现场理论方法来得出有效的作用，描述了层次三体系统的长时间动力学，最高为1pn四杆序。在这种近似级别上，轨道时间尺度上的小振荡以及与绝热近似的偏差，计算使计算变得复杂。我们通过通过近乎认同转换的方法消除快速模式来解决这些困难。这使我们能够首次在三体系统的通用配置中首次计算1PN四极跨term的完整表达式。我们从数值上整合了所得运动方程，并表明1PN四极术语可能会影响相对论三体系统的长期动态。
Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between relativistic corrections and three-body interactions. We use an effective field theory approach to derive the effective action describing the long time-scale dynamics of hierarchical three-body systems up to 1PN quadrupole order. At this level of approximation, computations are complicated by the backreaction of small oscillations on orbital time-scales as well as deviations from the adiabatic approximation. We address these difficulties by eliminating the fast modes through the method of near-identity transformations. This allows us to compute for the first time the complete expression of the 1PN quadrupole cross-terms in generic configurations of three-body systems. We numerically integrate the resulting equations of motion and show that 1PN quadrupole terms can affect the long term dynamics of relativistic three-body systems.
