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arXiv 0803.3966astro-ph
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日震重力模式对太阳核动力学的灵敏度

Sensitivity of helioseismic gravity modes to the dynamics of the solar core

S. Mathur, A. Eff-Darwich, R. A. García, S. Turck-Chièze

摘要:

太阳能核心的动力学不能通过声学振荡模式的分析得到适当的约束。引力模对于理解太阳最深层的结构和动力学是必要的。通过最近在单独和集体观察这些模式方面取得的进展,可以获得新的信息,有助于推断核燃烧堆芯内部的旋转轮廓。为了观察重力模式对太阳核心旋转的敏感性。我们分析的影响,增加分裂的一个和几个g模式的数据集用于日震数值反演。我们寻找约束的不确定性所需的观测,以改善派生的核心旋转配置文件。我们计算正演问题,获得三个人为集的分裂来自三个旋转配置文件:一个刚性的配置文件作为参考,一个阶梯状和一个更平滑的配置文件具有较高的利率在核心。我们计算反演的基础上正则化最小二乘法(RLS)的人工数据与真实的误差条和真实数据。使用了几组数据:首先,我们只反转p模式,然后我们添加一个和几个g模式,其中不同值的观测不确定性(75和7.5 nHz)归因于。对于真实数据,我们包括g模式候选者,l=2,n=-3,具有几个分裂和相关的不确定性。我们表明,在人工数据中引入一个g模式,提高了在太阳核心的速率,并给出了一个想法的旋转轮廓的趋势。增加更多的g模式可以提高反演的精度,并使反演稳定。用g模式候选者反演真实数据给出了旋转轮廓,该旋转轮廓保持不变直到0.2 R,无论我们将分裂的值归因于g模式。

英文摘要:

The dynamics of the solar core cannot be properly constrained through the analysis of acoustic oscillation modes. Gravity modes are necessary to understand the structure and dynamics of the deepest layers of the Sun. Through recent progresses on the observation of these modes -- both individually and collectively -- new information could be available to contribute to inferring the rotation profile down inside the nuclear burning core. To see the sensitivity of gravity modes to the rotation of the solar core. We analyze the influence of adding the splitting of one and several g modes to the data sets used in helioseismic numerical inversions. We look for constraints on the uncertainties required in the observations in order to improve the derived core rotation profile. We compute forward problems obtaining three artificial sets of splittings derived for three rotation profiles: a rigid profile taken as a reference, a step-like and a smoother profiles with higher rates in the core. We compute inversions based on Regularized Least-Squares methodology (RLS) for both artificial data with real error bars and real data. Several sets of data are used: first we invert only p modes, then we add one and several g modes to which different values of observational uncertainties (75 and 7.5 nHz) are attributed. For the real data, we include g-mode candidate, l=2, n=-3 with several splittings and associated uncertainties. We show that the introduction of one g mode in artificial data improves the rate in the solar core and give an idea on the tendency of the rotation profile. The addition of more g modes gives more accuracy to the inversions and stabilize them. The inversion of real data with the g-mode candidate gives a rotation profile that remains unchanged down to 0.2 R, whatever value of splitting we attribute to the g mode.

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