富氢天体的最小轨道周期
Minimum Orbital Periods of H-Rich Bodies
摘要：
在这项工作中，我们推导出最小允许的轨道周期的H-丰富的机构的质量范围从土星的质量1 $M_{\odot}$，强调气体巨星和褐矮星的范围$0.0003 - 0.074 \, M_\odot$。给出了$P_{\rm min}$作为物体质量的函数和作为平均密度的函数的解析拟合公式。我们假设主星的密度足够高，以至于不会限制最小周期。在许多情况下，这意味着主星是一颗白矮星。这项工作的目的，部分是为了区分棕矮星和行星，发现过境的主机白矮星没有诉诸近红外或径向速度测量。特别是，轨道周期为$\lesssim 100$分钟的很可能是棕矮星。整个质量范围内的总体最小周期为$\simeq 37$分钟。
英文摘要：
In this work we derive the minimum allowed orbital periods of H-rich bodies ranging in mass from Saturn's mass to 1 $M_{\odot}$, emphasizing gas giants and brown dwarfs over the range $0.0003 - 0.074 \, M_\odot$. Analytic fitting formulae for $P_{\rm min}$ as a function of the mass of the body and as a function of the mean density are presented. We assume that the density of the host star is sufficiently high so as not to limit the minimum period. In many instances this implies that the host star is a white dwarf. This work is aimed, in part, toward distinguishing brown dwarfs from planets that are found transiting the host white dwarf without recourse to near infrared or radial velocity measurements. In particular, orbital periods of $\lesssim 100$ minutes are very likely to be brown dwarfs. The overall minimum period over this entire mass range is $\simeq 37$ minutes.
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