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Shear instabilities in the dust layer of the solar nebula II. Different unperturbed states

Earth, Planets and Space volume 53, pages 761–765 (2001)Cite this article

Abstract

In the previous paper (Sekiya and Ishitsu, 2000), the shear instability in the dust layer of the solar nebula was investigated by using the constant Richardson number solution (Sekiya, 1998) as the unperturbed state, and the growth rate of the most unstable mode was calculated to be much less than the Keplerian angular velocity as long as the Richardson number was larger than 0.1. In this paper, we calculate the growth rate using different unperturbed states: (1) a sinusoidal density distribution, and (2) a constant density around the midplane with sinusoidal transition regions. An unperturbed state of this paper is considered to correspond to the first stage of shear instability that occurs as a result of dust settling in a laminar phase of the solar nebula. On the other hand, the unperturbed state of the previous paper corresponds to the quasi-equilibrium state (Sekiya, 1998) which is attained by the turbulent mixing. The results show that the growth rate is much larger than the Keplerian angular velocity, in contrast to the previous result.

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Authors and Affiliations

  1. Department of Earth and Planetary Sciences, Faculty of Sciences, 33 Kyushu University, Hakozaki, Fukuoka, 812-8581, Japan

    Minoru Sekiya

  2. Department of Earth and Planetary Sciences, Graduate School of Sciences, 33 Kyushu University, Hakozaki, Fukuoka, 812-8581, Japan

    Naoki Ishitsu

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  1. Minoru Sekiya
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  2. Naoki Ishitsu
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Correspondence to Minoru Sekiya.

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Sekiya, M., Ishitsu, N. Shear instabilities in the dust layer of the solar nebula II. Different unperturbed states. Earth Planet Sp 53, 761–765 (2001). https://doi.org/10.1186/BF03352404

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