论文标题
偶极磁场对银河系二进制重力波应变的影响
Impact of dipolar magnetic fields on gravitational wave strain by galactic binaries
论文作者
论文摘要
白色矮人（WDS）和中子星（NSS）是宇宙中磁性最大的天体物理对象之一，磁场可达到$ 10^9 \，\ Mathrm {g} $ for WDS，最高可达$ 10^{15} {15} \，\，\，\，\ Mathrm {g} $。预计银河系将有大约一亿个双WD和数百万个NS-WD二进制文件。在整个任务期间，激光干涉仪空间天线（LISA）将观察到超过一万个这样的银河系二进制文件同时发出的重力波（GWS）。在本文中，我们研究了磁偶极 - 偶极相互作用对磁性银河二进制发射的GW信号的影响。我们得出控制这些物体轨道和旋转运动的世俗方程。然后，我们通过数值和分析来集成这些方程。我们得出的结论是，总体可见效应是平均经度的另一个世俗漂移。这种漂移与磁矩的乘积成正比，与半马约尔轴的$ 7/2 $功率成反比。最后，我们表明，在偏心率中的零级时，磁偶极 - 偶极相互作用会移动LISA测量的重力应变的主要频率。
White dwarfs (WDs) and neutron stars (NSs) are among the most magnetized astrophysical objects in the universe, with magnetic fields that can reach up to $10^9\,\mathrm{G}$ for WDs and up to $10^{15}\,\mathrm{G}$ for NSs. The galaxy is expected to be populated with approximately one hundred million of double WD and millions of NS-WD binaries. Throughout the duration of the mission, the Laser Interferometer Space Antenna (LISA) will observe gravitational waves (GWs) emitted simultaneously by more than ten thousand of such galactic binaries. In this paper, we investigate the effect of the magnetic dipole-dipole interaction on the GW signal emitted by magnetic galactic binaries. We derive the secular equations governing the orbital and rotational motion of these objects. Then, we integrate these equations both numerically and analytically. We conclude that the overall visible effect is an additional secular drift of the mean longitude. This drift is proportional to the product of the magnetic moments and is inversely proportional to the $7/2$ power of the semi-major axis. Finally, we show that, at zeroth-order in eccentricity, the magnetic dipole-dipole interaction shifts the main frequency of the gravitational strain measured by LISA.
