arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1106.4820astro-ph.GA
收藏

气体中的动力摩擦:亚音速情况

Dynamical Friction in a Gas: The Subsonic Case

Aaron T. Lee, Steven W. Stahler

摘要:

本文研究了作用于一个穿过扩展等温气体的引力质点的动力学摩擦力。这种力在高超音速极限下是很好的,但在亚音速范围内仍然不太清楚。利用微扰理论,我们分析了远离质量的气体速度和密度的变化。我们分析表明,稳态摩擦力是Mdot*V,其中Mdot是质量吸积率到一个物体以速度V移动。因此,没有其他力量的物体的速度下降,其质量的平方反比。使用修改后的版本的经典Bondi-Hoyle插值公式Mdot作为V的函数,我们推导出的摩擦力的解析表达式。当质量吸积受到阻碍时,例如风,只要风云相互作用在空间上受到足够的限制,这个表达式也成立。我们的结果应该在一些天体物理学的设置中找到应用,例如星系通过星系团内气体的运动。

英文摘要:

We study the force of dynamical friction acting on a gravitating point mass that travels through an extended, isothermal gas. This force is well established in the hypersonic limit, but remains less understood in the subsonic regime. Using perturbation theory, we analyze the changes in gas velocity and density far from the mass. We show analytically that the steady-state friction force is Mdot*V, where Mdot is the mass accretion rate onto an object moving at speed V. It follows that the speed of an object experiencing no other forces declines as the inverse square of its mass. Using a modified version of the classic Bondi-Hoyle interpolation formula for Mdot as a function of V, we derive an analytic expression for the friction force. This expression also holds when mass accretion is thwarted, e.g. by a wind, as long as the wind-cloud interaction is sufficiently confined spatially. Our result should find application in a number of astrophysical settings, such as the motion of galaxies through intracluster gas.

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。

↑