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VbvAstE-001

Book Boris V. Vasiliev Astrophysics

Chapter 9 The solar

Chapter 9 The solar seismical oscillations 9.1 The spectrum of solar seismic oscillations The measurements [9] show that the Sun surface is subjected to a seismic vibration. The most intensive oscillations have the period about five minutes and the wave length about 10 4 km or about hundredth part of the Sun radius. Their spectrum obtained by BISON collaboration is shown in Fig.9.1. It is supposed, that these oscillations are a superposition of a big number of different modes of resonant acoustic vibrations, and that acoustic waves propagate in different trajectories in the interior of the Sun and they have multiple reflection from surface. With these reflections trajectories of same waves can be closed and as a result standing waves are forming. Specific features of spherical body oscillations are described by the expansion in series on spherical functions. These oscillations can have a different number of wave lengths on the radius of a sphere (n) and a different number of wave lengths on its surface which is determined by the l-th spherical harmonic. It is accepted to describe the sunny surface oscillation spectrum as the expansion in series [8]: ν nlm ≃ ∆ν 0(n + l + ɛ0) − l(l + 1)D0 + m∆νrot. (9.1) 2 Where the last item is describing the effect of the Sun rotation and is small. The main contribution is given by the first item which creates a large splitting in the spectrum (Fig.9.1) △ν = ν n+1,l − ν n,l . (9.2) 67

Figure 9.1: (a) The power spectrum of solar oscillation obtained by means of Doppler velocity measurement in light integrated over the solar disk. The data were obtained from the BISON network [9]. (b) An expanded view of a part of frequency range. 68

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