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arXiv 0908.1398astro-ph.EP
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弥散占优的薄星子盘的动力学演化

Dynamical evolution of thin dispersion-dominated planetesimal disks

Roman R. Rafikov, Zachary S. Slepian

摘要:

我们研究了垂直薄的、弥散主导的微行星盘的动力学,其偏心率$e$和倾角$i$(以希尔单位标准化)满足$e >> 1$、$i << e^{-2} << 1$。这种情况可能是典型的,例如,在行星形成的寡头阶段结束时的原行星核心群。在这个制度的轨道参数的星子散射具有各向异性的字符和强烈不同于厚($i ~ e$)磁盘散射。我们推导出的星子散射系数的解析表达式,并与数值计算进行比较。我们发现显着差异的倾斜散射系数获得的两种方法,并归因于这种差异的影响不占在分析计算:多个散射事件(临时捕获,这可能是相关的生产遥远的行星卫星以外的希尔球)和遥远的相互作用的星子之前,他们的密切接触。我们的计算表明,一个薄的,分散为主的星子磁盘的倾斜指数增长在一个非常短的时间尺度上意味着(1)这样的磁盘必须是非常短暂的和(2)在这个动力学阶段的星子吸积是微不足道的。我们的结果也适用于剪切为主的磁盘切换到色散为主的制度的动力学。

英文摘要:

We study the dynamics of a vertically thin, dispersion-dominated disk of planetesimals with eccentricities $e$ and inclinations $i$ (normalized in Hill units) satisfying $e >> 1$, $i << e^{-2} << 1$. This situation may be typical for e.g. a population of protoplanetary cores in the end of the oligarchic phase of planet formation. In this regime of orbital parameters planetesimal scattering has an anisotropic character and strongly differs from scattering in thick ($i ~ e$) disks. We derive analytical expressions for the planetesimal scattering coefficients and compare them with numerical calculations. We find significant discrepancies in the inclination scattering coefficients obtained by the two approaches and ascribe this difference to the effects not accounted for in the analytical calculation: multiple scattering events (temporary captures, which may be relevant for the production of distant planetary satellites outside the Hill sphere) and distant interaction of planetesimals prior to their close encounter. Our calculations show that the inclination of a thin, dispersion-dominated planetesimal disk grows exponentially on a very short time scale implying that (1) such disks must be very short-lived and (2) planetesimal accretion in this dynamical phase is insignificant. Our results are also applicable to the dynamics of shear-dominated disks switching to the dispersion-dominated regime.

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