Post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies.

Post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies.
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二体系统的后牛顿引力辐射反应:非旋转体。

DOI:
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发表时间:
1995
期刊:
Physical Review D, Particles and fields
影响因子:
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通讯作者:
C. Will
C. Will
中科院分区:
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文献类型:
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作者:
B. Iyer;C. Will

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本文研究了四极近似下非自旋点质量二元系统运动方程中的引力辐射反应,该方程为后牛顿阶[O((v/c${)}^{2}$)],对应于牛顿运动的${\mathrm{post}}^{7/2}$-牛顿阶修正.一种方法使用后牛顿的能量和角动量通量到无穷大的表达式,以及能量和角动量平衡的假设。所导出的运动方程对一般的双星轨道和一类坐标规范都是有效的。另一种方法使用显式公式的近区反应势,有效的后牛顿秩序,在一个固定的规范的渐近匹配程序。这两种方法给出了等价的结果。\textcopyright{} 1995美国物理学会。
We study gravitational radiation reaction in the equations of motion for binary systems of nonspinning point masses to post-Newtonian order [O((v/c${)}^{2}$)] beyond the quadrupole approximation, corresponding to ${\mathrm{post}}^{7/2}$-Newtonian order corrections to Newtonian motion. One method uses post-Newtonian expressions for energy and angular momentum flux to infinity, and an assumption of energy and angular momentum balance. The equations of motion so derived are valid for general binary orbits, and for a class of coordinate gauges. Another method uses explicit formulas for near-zone reaction potentials, valid to post-Newtonian order, derived by an asymptotic matching procedure in a fixed gauge. The two methods give equivalent results. \textcopyright{} 1995 The American Physical Society.