四重星系VW LMi轨道的长期变化
Secular changes in the orbits of the quadruple system VW LMi
摘要：
VW~LMi是已知的最紧的2+2层次四元组系统。它由一个WUMa型食双星（P12 = 0.47755天）和一个分离的不食双星（P34 = 7.93天）组成，它们围绕一个共同的质心运行，周期约为P1234 = 355天。我们提出了新的观测系统延长的时间基线，以研究长期扰动系统和改善轨道要素。系统的多数据集建模（4个组件的径向速度曲线和定时数据）清楚地显示了非食双星的拱点运动，速度为4.6度/年，但没有其他扰动。这与外侧355天的轨道和不食双星7.93天的轨道几乎共面是一致的。广泛的N体模拟使我们能够将不食双星和外轨道的相互倾角限制在j34-1234 < 10度。
英文摘要：
VW~LMi is the tightest known quadruple system with 2+2 hierarchy. It consists of a W UMa-type eclipsing binary (P12 = 0.47755 days) and another detached non-eclipsing binary (P34 = 7.93 days) orbiting around a common center of mass is about P1234 = 355 days. We present new observations of the system extending the time baseline to study long-term perturbations in the system and to improve orbital elements. The multi-dataset modeling of the system (4 radial-velocity curves for the components and the timing data) clearly showed an apsidal motion in the non-eclipsing binary at a rate of 4.6 degrees/yr, but no other perturbations. This is consistent with the nearly co-planarity of the outer, 355-day orbit, and the 7.93-day orbit of the non-eclipsing binary. Extensive N-body simulations enabled us to constrain the mutual inclination of the non-eclipsing binary and the outer orbits to j34-1234 < 10 degrees.
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