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arXiv 1502.00627astro-ph.GA
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由厚和薄指数盘产生的引力势的简单和精确模拟

Simple and accurate modelling of the gravitational potential produced by thick and thin exponential disks

Rory Smith, Chris Flynn, Graeme N. Candlish, Michael Fellhauer, Brad K. Gibson

摘要:

我们提出了一个径向指数盘质量分布所产生的引力势的精确模型。这些模型是由三个独立的Miyamoto-Nagai磁盘组合而成。这样的模型以前已经被用来模拟银河系的磁盘,但在这里,我们扩展这个框架,使其应用于磁盘的任何质量,scalelength,和广泛的厚度范围从无限薄到近球形(椭圆度从0到0.9)。该模型具有实现简单的优点,我们期望更快的运行速度超过双指数磁盘处理。势是完全解析的,在所有点上都是可微的。我们的模型的质量分布偏离纯指数盘的径向质量分布<0.4%的4盘标度和<1.9%的10盘标度。我们制表拟合参数,方便建设指数磁盘的任何scalelength,和广泛的磁盘厚度(一个用户友好的,基于Web的界面也可用)。我们的配方是非常适合于一个巨大的磁盘星系的恒星星团或矮星系的潮汐效应的数值模拟。我们考虑三个工作的例子,银河系薄和厚盘,和一个盘状矮星系。

英文摘要:

We present accurate models of the gravitational potential produced by a radially exponential disk mass distribution. The models are produced by combining three separate Miyamoto-Nagai disks. Such models have been used previously to model the disk of the Milky Way, but here we extend this framework to allow its application to disks of any mass, scalelength, and a wide range of thickness from infinitely thin to near spherical (ellipticities from 0 to 0.9). The models have the advantage of simplicity of implementation, and we expect faster run speeds over a double exponential disk treatment. The potentials are fully analytical, and differentiable at all points. The mass distribution of our models deviates from the radial mass distribution of a pure exponential disk by <0.4% out to 4 disk scalelengths, and <1.9% out to 10 disk scalelengths. We tabulate fitting parameters which facilitate construction of exponential disks for any scalelength, and a wide range of disk thickness (a user-friendly, web-based interface is also available). Our recipe is well suited for numerical modelling of the tidal effects of a giant disk galaxy on star clusters or dwarf galaxies. We consider three worked examples; the Milky Way thin and thick disk, and a disky dwarf galaxy.

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