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arXiv 1802.02592astro-ph.GAastro-ph.IM
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类Milky-Way势中轨道参数的快速估计

Fast estimation of orbital parameters in Milky-Way-like potentials

J. Ted Mackereth, Jo Bovy

摘要:

银河系中恒星的轨道参数,如离心率和最大垂直偏移,是了解其动力学和演化的重要工具,但这些参数的计算通常依赖于计算昂贵的数值轨道积分。我们提出并测试了一个快速的方法来估计这些参数使用的Stäckel软糖的应用程序,以前用于估计的作用角变量。我们表明,该方法是高度准确的,在$<1\%$的水平偏心率,在大范围的相关轨道和不同的银河系的潜力,并证明其有效性,通过估计的偏心率分布的RAVE-TGAS数据集,并比较它从轨道积分。使用该方法,轨道特性的$\sim 7$百万$\textit{Gaia}$ DR 2星径向速度测量计算与Monte Carlo采样误差在$\sim 116$小时的并行CPU时间,在一个速度,我们估计是$\sim 3$到$4$数量级快于使用数值轨道积分。我们证明使用这个目录,$\textit{Gaia}$ DR 2样本在太阳附近的大范围的轨道,下至那些与$r_\mathrm{peri} \lesssim 2.5$千秒差距,并到$r_\mathrm{ap} \gtrsim 13$千秒差距。我们还表明,轨道参数空间中存在的许多功能有一个低的平均值$z_\mathrm{max}$,这表明它们可能导致磁盘动力学效应。

英文摘要:

Orbital parameters, such as eccentricity and maximum vertical excursion, of stars in the Milky Way are an important tool for understanding its dynamics and evolution, but calculation of such parameters usually relies on computationally-expensive numerical orbit integration. We present and test a fast method for estimating these parameters using an application of the Stäckel fudge, used previously for the estimation of action-angle variables. We show that the method is highly accurate, to a level of $<1\%$ in eccentricity, over a large range of relevant orbits and in different Milky Way-like potentials, and demonstrate its validity by estimating the eccentricity distribution of the RAVE-TGAS data set and comparing it to that from orbit integration. Using the method, the orbital characteristics of the $\sim 7$ million $\textit{Gaia}$ DR2 stars with radial velocity measurements are computed with Monte Carlo sampled errors in $\sim 116$ hours of parallelised cpu time, at a speed that we estimate to be $\sim 3$ to $4$ orders of magnitude faster than using numerical orbit integration. We demonstrate using this catalogue that $\textit{Gaia}$ DR2 samples a large range of orbits in the solar vicinity, down to those with $r_\mathrm{peri} \lesssim 2.5$ kpc, and out to $r_\mathrm{ap} \gtrsim 13$ kpc. We also show that many of the features present in orbital parameter space have a low mean $z_\mathrm{max}$, suggesting that they likely result from disk dynamical effects.

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