论文标题
N-Body系统的Newtonian Lagrangian具有任意质量和自旋多物的Lagrangian
Post-Newtonian Lagrangian of an N-body System with Arbitrary Mass and Spin Multipoles
论文作者
论文摘要
本文在标量调整的重力理论中衍生了n任意结构的身体的转化后拉格朗日。多物取决于时间并根据自己的动态运动方程而发展。通过解决拉格朗日力学的逆问题，从北牛顿后运动方程中获取拉格朗日，并概括了众所周知的杆二极 - quadrupole巨大粒子的拉格朗日，以降低较高的多极性的颗粒。在合并之前，当恒星的潮汐和旋转变形不再较小且时间快速变化时，对高阶多极贡献的分析处理对于更严格地计算了灵感紧凑型二进制的重力波形很重要。具有任意质量和自旋多物的N体系统的Lagrangian对制定牛顿后能量，动量，动量和质量中心积分的态度具有重要作用。
The present paper derives the post-Newtonian Lagrangian of translational motion of N arbitrary-structured bodies with all mass and spin multipoles in a scalar-tensor theory of gravity. The multipoles depend on time and evolve in accordance with their own dynamic equations of motion. The Lagrangian is retrieved from the post-Newtonian equations of motion by solving the inverse problem of the Lagrangian mechanics and generalizes a well-known Lagrangian of pole-dipole-quadrupole massive particles to the particles of higher multipolarity. Analytic treatment of the higher-order multipole contributions is important for more rigorous computation of gravitational waveform of inspiralling compact binaries at the latest stage of their orbital evolution before merger when tidal and rotational deformations of stars are no longer small and rapidly change in time. The Lagrangian of an N-body system with arbitrary mass and spin multipoles is instrumental for formulation of the post-Newtonian conservation laws of energy, momenta and the integrals of the center of mass.
