A Robust Measure of Tidal Circularization in Coeval Binary Populations: The Solar-Type Spectroscopic Binary Population in the Open Cluster M35

A Robust Measure of Tidal Circularization in Coeval Binary Populations: The Solar-Type Spectroscopic Binary Population in the Open Cluster M35
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DOI:
10.1086/427082
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发表时间:
2004-12
期刊:
The Astrophysical Journal
影响因子:
--
通讯作者:
S. Meibom;R. Mathieu
S. Meibom;R. Mathieu
中科院分区:
其他
文献类型:
--
作者:
S. Meibom;R. Mathieu

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我们提出了一个新的均匀样本的32光谱双星轨道的年轻(~150百万年)的主序疏散星团M35。轨道偏心率与轨道周期(e-log P)的分布表明,在轨道周期约为10天时,轨道从偏心轨道向圆形轨道有明显的过渡。这种转变是由于最近的双星的潮汐循环。M35中的双星轨道人口提供了一个显着改善的限制在1.5亿年的年龄潮汐循环率。我们提出了一个新的和更强大的诊断的程度潮汐循环在一个二进制人口的基础上的功能适合的e-log P分布。我们把这种新的测量方法称为"潮汐循环期"。"双星群体的潮汐循环周期是指具有最频繁的初始轨道偏心率的双星轨道在人口年龄时循环的轨道周期(定义为e = 0.01)。我们确定的潮汐循环周期M35,以及为7个额外的二进制人口跨越年龄从主序前(~3百万年)到主序后期(~10 Gyr),并使用蒙特卡罗误差分析,以确定派生的循环周期的不确定性。我们的结论是,目前的潮汐循环理论不能解释潮汐循环周期与人口年龄的分布。
We present a new homogeneous sample of 32 spectroscopic binary orbits in the young (~150 Myr) main-sequence open cluster M35. The distribution of orbital eccentricity versus orbital period (e- log P) displays a distinct transition from eccentric to circular orbits at an orbital period of ~10 days. The transition is due to tidal circularization of the closest binaries. The population of binary orbits in M35 provide a significantly improved constraint on the rate of tidal circularization at an age of 150 Myr. We propose a new and more robust diagnostic of the degree of tidal circularization in a binary population based on a functional fit to the e- log P distribution. We call this new measure the "tidal circularization period." The tidal circularization period of a binary population represents the orbital period at which a binary orbit with the most frequent initial orbital eccentricity circularizes (defined as e = 0.01) at the age of the population. We determine the tidal circularization period for M35, as well as for seven additional binary populations spanning ages from the pre-main sequence (~3 Myr) to the late main sequence (~10 Gyr), and use Monte Carlo error analysis to determine the uncertainties on the derived circularization periods. We conclude that current theories of tidal circularization cannot account for the distribution of tidal circularization periods with population age.