arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2109.05951astro-ph.SR
收藏

M型矮星的轨道间距分布和双星分数

On The Orbital Separation Distribution and Binary Fraction of M Dwarfs

Nicholas Susemiehl, Michael R. Meyer

摘要:

我们提出了一个新的估计的二进制分数(一个单一的伴侣恒星的分数)的M矮星使用对数正态拟合的轨道分离分布。我们使用点估计的二进制分数(二进制分数在特定的分离和伴侣质量比范围内)从四个M矮调查采样不同的轨道半径,以适应对数正态函数的轨道分离分布。该模型与Reggiani & Meyer(2013)给出的伴星质量比分布一起,用于计算质量比(q)和轨道间距(a)范围内的伴星频率,在这些范围内,参考调查是集体敏感的- [0.60 $\leq$ q $\leq$ 1.00]和[0.00 $\leq$ a $\leq$ 10,000 AU]。然后外推该方法以计算包含[0.10 $\leq$ q $\leq$ 1.00]和[0.00 $\leq$ a < $\infty$ AU]的较宽范围的二元分数。最后,这些计算的结果进行了比较,其他光谱类型的二进制馏分。在[0.60 $\leq$ q $\leq$ 1.00]和[0.00 $\leq$ a $\leq$ 10,000 AU]的约束区域上的二进制分数计算为$0.229 \pm 0.028$。然后在q(0.10 - 1.00)和a(0.00 - $\infty$ AU)的较宽范围内外推该量,发现为$0.462^{+0.057}_{-0.052}$。我们使用转换因子从二元分数估计多重性分数,发现在[0.60 $\leq$ q $\leq$ 1.00]和[0.00 $\leq$ a $\leq$ 10,000 AU]的窄区域内的多重性分数为$0.270 \pm 0.111$。最后,我们用同样的方法估算了FGK和A星的多重数分数(取[0.60 $\leq$ q $\leq$ 1.00]和[0.00 $\leq$ a $\leq$ 10,000 AU]),发现M、FGK和A星的多重数分数,当考虑到q和a的共同范围时,比通常假设的更相似。

英文摘要:

We present a new estimate for the binary fraction (the fraction of stars with a single companion) for M dwarfs using a log-normal fit to the orbital separation distribution. We use point estimates of the binary fraction (binary fractions over specific separation and companion mass ratio ranges) from four M dwarf surveys sampling distinct orbital radii to fit a log-normal function to the orbital separation distribution. This model, alongside the companion mass ratio distribution given by Reggiani & Meyer (2013), is used to calculate the frequency of companions over the ranges of mass ratio (q) and orbital separation (a) over which the referenced surveys were collectively sensitive - [0.60 $\leq$ q $\leq$ 1.00] and [0.00 $\leq$ a $\leq$ 10,000 AU]. This method was then extrapolated to calculate a binary fraction which encompasses the broader ranges of [0.10 $\leq$ q $\leq$ 1.00] and [0.00 $\leq$ a < $\infty$ AU]. Finally, the results of these calculations were compared to the binary fractions of other spectral types. The binary fraction over the constrained regions of [0.60 $\leq$ q $\leq$ 1.00] and [0.00 $\leq$ a $\leq$ 10,000 AU] was calculated to be $0.229 \pm 0.028$. This quantity was then extrapolated over the broader ranges of q (0.10 - 1.00) and a (0.00 - $\infty$ AU) and found to be $0.462^{+0.057}_{-0.052}$. We used a conversion factor to estimate the multiplicity fraction from the binary fraction and found the multiplicity fraction over the narrow region of [0.60 $\leq$ q $\leq$ 1.00] and [0.00 $\leq$ a $\leq$ 10,000 AU] to be $0.270 \pm 0.111$. Lastly, we estimate the multiplicity fractions of FGK, and A stars using the same method (taken over [0.60 $\leq$ q $\leq$ 1.00] and [0.00 $\leq$ a $\leq$ 10,000 AU]) and find that the multiplicity fractions of M, FGK, and A stars, when considered over common ranges of q and a, are more similar than generally assumed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑