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Classification of Oscillations and Their Characteristics

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Oscillations of Disks

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 437))

Abstract

A rough but instructive way for understanding the basic characteristics of the wave motions described by equation (3.50) is to separate h 1(r, η) into r- and η-dependent terms as h 1(r, z) = f(r)g(η). Based on such approximations, we have derived in Chap. 5 wave equations describing radial behavior of oscillations. In this chapter, in the framework of the same approximations, we classify the wave motions and examine their characteristics. The oscillations in geometrically thin disks are classified into (i) p-modes, (ii) c-modes, (iii) vertical p-modes, and (iv) g-modes.

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Notes

  1. 1.

    In the case of polytropic disks, K n is n + n(n − 1)∕2N (see equation (4.13)), and in the case of truncated isothermal disks, K n is given in Sect. 4.2.3 (see Table 4.1). In the followings, for simplicity, we restrict our attention mainly to the cases of isothermal disks which infinitely extend in the vertical direction, i.e., K n  = n.

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© 2016 Springer Japan

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Kato, S. (2016). Classification of Oscillations and Their Characteristics. In: Oscillations of Disks. Astrophysics and Space Science Library, vol 437. Springer, Tokyo. https://doi.org/10.1007/978-4-431-56208-5_6

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