由PHASES差分天体测量得到的猎户座μ四双星系统的质量、光度和轨道共面性
Masses, Luminosities, and Orbital Coplanarities of the mu Orionis Quadruple Star System from PHASES Differential Astrometry
摘要：
猎户座μ经光谱学研究确定为一个四重恒星系统。帕洛玛系外行星系统高精度天体测量搜索（PHASES）收集了17个高精度差分天体测量测量数据。这些图显示了长周期双星轨道的运动和叠加在长周期系统中的每个组成部分本身就是双星所引起的短周期摄动。新的测量使长周期的二进制和短周期子系统的方向被确定。最近的理论工作预测，分层系统的内外轨道之间的相对倾角分布在40度和140度附近达到峰值。确定了这个复杂系统的共面度，发现A-B和Aa-Ab轨道平面之间的夹角为136.7 +/- 8.3度，接近预测的分布峰值140度;这一结果在少数具有既定相互倾斜的系统的背景下进行了讨论。系统的距离和每个组件的质量是从相天体测量和档案径向速度观测的组合拟合。组分质量的相对精密度为5%（组分Aa）、15%（Ab）和1.4%（Ba和Bb）。新测量的不确定性椭圆短轴的中值大小为20微弧秒。还提供了马座delta、飞马座kappa和武仙座V819的更新轨道。
英文摘要：
mu Orionis was identified by spectroscopic studies as a quadruple star system. Seventeen high precision differential astrometry measurements of mu Ori have been collected by the Palomar High-precision Astrometric Search for Exoplanet Systems (PHASES). These show both the motion of the long period binary orbit and short period perturbations superimposed on that caused by each of the components in the long period system being themselves binaries. The new measurements enable the orientations of the long period binary and short period subsystems to be determined. Recent theoretical work predicts the distribution of relative inclinations between inner and outer orbits of hierarchical systems to peak near 40 and 140 degrees. The degree of coplanarity of this complex system is determined, and the angle between the planes of the A-B and Aa-Ab orbits is found to be 136.7 +/- 8.3 degrees, near the predicted distribution peak at 140 degrees; this result is discussed in the context of the handful of systems with established mutual inclinations. The system distance and masses for each component are obtained from a combined fit of the PHASES astrometry and archival radial velocity observations. The component masses have relative precisions of 5% (component Aa), 15% (Ab), and 1.4% (each of Ba and Bb). The median size of the minor axes of the uncertainty ellipses for the new measurements is 20 micro-arcseconds. Updated orbits for delta Equulei, kappa Pegasi, and V819 Herculis are also presented.
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