土星环中小卫星诱导推进器的流体动力学模拟：对Bleriot的应用
Hydrodynamic simulations of moonlet induced propellers in Saturn's rings: Application to Bleriot
摘要：
卡西尼号任务最大的成功之一是探测到嵌入土星环中的小卫星（小卫星），这些小卫星在其附近产生S形密度结构，称为螺旋桨（Spahn和Sremcevic 2000; Tiscareno等人2006; Sremcevic等人2007）。在这里，我们提出了等温流体动力学模拟的小卫星引起的螺旋桨在土星的A环，这意味着进一步发展的原始模型（Spahn和Sremcevic 2000年）。我们发现这些新的流体动力学和相应的N体模拟之间的良好协议。此外，流体动力学模拟证实了预测的标度律（Spahn和Sremcevic 2000）和螺旋桨间隙密度的解析解（Sremcevic等，2002）。最后，这种平均场的方法使我们能够模拟模式的巨型螺旋桨Bleriot，这是太大，直接N体模拟建模。我们的研究结果相比，两个恒星掩星观测卡西尼紫外线成像光谱仪（UVIS），相交的螺旋桨Bleriot。最适合紫外线可见光光学深度剖面实现了山半径为590米，这意味着约860米的小卫星直径。此外，该模型有利于周围环材料的运动剪切粘度为$ν_0 = 340$ cm ^2/s，分散速度在0.3 cm/s-1.5 cm/s范围内，以及相当高的体积粘度$7 < ξ_0/ν_0 < 17$。这些大的输运值可能被高估，我们的等温环模型，并应审查一个扩展的模型，包括热波动。
英文摘要：
One of the biggest successes of the Cassini mission is the detection of small moons (moonlets) embedded in Saturn's rings which cause S-shaped density structures in their close vicinity, called propellers (Spahn and Sremcevic 2000; Tiscareno et al. 2006; Sremcevic et al. 2007). Here, we present isothermal hydrodynamic simulations of moonlet-induced propellers in Saturn's A ring which denote a further development of the original model (Spahn and Sremcevic 2000). We find excellent agreement between these new hydrodynamic and corresponding N-body simulations. Furthermore, the hydrodynamic simulations confirm the predicted scaling laws (Spahn and Sremcevic 2000) and the analytical solution for the density in the propeller gaps (Sremcevic et al. 2002). Finally, this mean field approach allows us to simulate the pattern of the giant propeller Bleriot, which is too large to be modeled by direct N-body simulations. Our results are compared to two stellar occultation observations by the Cassini Ultraviolet Imaging Spectrometer (UVIS), that intersect the propeller Bleriot. Best fits to the UVIS optical depth profiles are achieved for a Hill radius of 590 m, which implies a moonlet diameter of about 860 m. Furthermore, the model favours a kinematic shear viscosity of the surrounding ring material of $ν_0 = 340$ cm^2/s, a dispersion velocity in the range of 0.3 cm/s $< c_0 <$ 1.5 cm/s, and a fairly high bulk viscosity $7 < ξ_0/ν_0 < 17$. These large transport values might be overestimated by our isothermal ring model and should be reviewed by an extended model including thermal fluctuations.
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