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arXiv 0809.0015astro-ph
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根据地震和非地震的限制对太阳和半人马座阿尔法星A和B的结构的研究

On the structure of the Sun and alpha Centauri A and B in the light of seismic and non-seismic constraints

M. Yildiz

摘要:

低度l振荡之间的小间隔(delta nu 01,delta nu 02和delta nu 13)主要取决于恒星核心内的声速剖面,核演化发生在那里。对恒星的这种振荡的探测提供了一个很好的机会来确定它的核演化阶段,从而确定它的年龄。在这种情况下,我们研究了太阳和α Cen A和B。对于α Cen A和B,每个小的间隔Δ nu 01,Δ nu 02和Δ nu 13给出了不同的年龄。因此,在我们的拟合过程中,我们还使用第二个差值,定义为nu n2 - 2 nu n1 + nu n 0,即2 Δ nu 01-Δ nu 02。除此之外,我们还使用频率比(nu n 0/ nu n2)。对于太阳来说,这些表达式是等价的,给出的年龄大约是4.9-5.0 Gyr。然而,对于α Cen A和B,小的分离和第二个差异给出了非常不同的年龄。这种冲突可以通过检测振荡频率来解决,该振荡频率可以比电流频率精确得多地测量。当我们用观测值拟合模型时,我们发现:(i)α Cen B的小分离δ nu 01,δ nu 02和δ nu 13的Z 0=0.020,t= 3.50Gyr,MB = 1.006Msun;以及(ii)来自非地震约束和α Cen A和B的Δ nu 02的各种解,其中α Cen A和B的质量略有改变,系统的年龄约为5.2-5.3 Gyr。当Z=0.025时,与观测质量最接近的质量是MB =0.922 Msun和MA =1.115 Msun,它们与相应的观测质量相差约0.01 Msun。

英文摘要:

The small separation (delta nu 01, delta nu 02 and delta nu 13) between the oscillations with low degree l is dependent primarily on the sound speed profile within the stellar core, where nuclear evolution occurs. The detection of such oscillations for a star offers a very good opportunity to determine the stage of its nuclear evolution, and hence its age. In this context, we investigate the Sun and alpha Cen A and B. For alpha Cen A and B, each of the small separations delta nu 01, delta nu 02 and delta nu 13 gives a different age. Therefore, in our fitting process, we also employ the second difference, defined as nu n2 - 2 nu n1 + nu n0, which is 2 delta nu 01- delta nu 02. In addition to this, we also use frequency ratio (nu n0/ nu n2). For the Sun, these expressions areequivalent and give an age of about 4.9-5.0 Gyr. For alpha Cen A and B, however, the small separation and the second difference give very different ages. This conflict may be solved by the detection of oscillation frequencies that can be measured much more precisely than the current frequencies. When we fit the models to the observations, we find (i) Z 0=0.020, t=3.50 Gyr and M B=1.006 Msun from the small separations delta nu 01, delta nu 02 and delta nu 13 of alpha Cen B; and (ii) a variety of solutions from the non-seismic constraints and delta nu 02 of alpha Cen A and B, in which the masses of alpha Cen A and B are slightly modified and the age of the system is about 5.2-5.3 Gyr. For Z=0.025, the closest masses we find to the observed masses are M B=0.922 Msun and M A=1.115 Msun.The differences between these masses and the corresponding observed masses are about 0.01 Msun.

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