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arXiv 1605.04845astro-ph.GAastro-ph.CO
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基于第三类运动积分的恒星运动学:方法及其在Andromeda galaxy上的应用

Stellar kinematics using a third integral of motion: method and application on the Andromeda galaxy

Rain Kipper, Peeter Tenjes, Olga Tihhonova, Antti Tamm, Elmo Tempel

摘要:

我们探讨的可行性描述的结构的多组分轴对称星系的动力学模型的基础上的Jeans方程,同时考虑到第三个积分的运动。我们证明了利用G. Kuzmin,通过沿着某些特征曲线积分方程,可以从Jeans方程计算星系的恒星运动学。在运动的第三积分不能精确描述系统的情况下,导出的运动学只能近似描述星系。我们将我们的方法应用到仙女座星系,其中的质量分布是相对可靠的。我们能够很好地再现观测到的星系的恒星运动学。计算结果表明,M31的速度弥散比$σ_z^2/σ_R^2$随R的增大而减小。远离银道面,$σ_z^2/σ_R^2$保持不变。银道面上的速度色散$σ_θ^2$和$σ_R^2$大致相等。

英文摘要:

We probe the feasibility of describing the structure of a multi-component axisymmetric galaxy with a dynamical model based on the Jeans equations while taking into account a third integral of motion. We demonstrate that using the third integral in the form derived by G. Kuzmin, it is possible to calculate the stellar kinematics of a galaxy from the Jeans equations by integrating the equations along certain characteristic curves. In cases where the third integral of motion does not describe the system exactly, the derived kinematics would describe the galaxy only approximately. We apply our method to the Andromeda galaxy, for which the mass distribution is relatively firmly known. We are able to reproduce the observed stellar kinematics of the galaxy rather well. The calculated model suggests that the velocity dispersion ratios $σ_z^2/σ_R^2$ of M31 decrease with increasing R. Moving away from the galactic plane, $σ_z^2/σ_R^2$ remains the same. The velocity dispersions $σ_θ^2$ and $σ_R^2$ are roughly equal in the galactic plane.

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。

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