2019
DOI: 10.1093/mnras/stz3512
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General model of vertical distribution of stars in the Milky Way using complete Jeans equations

Abstract: The self-consistent vertical density distribution in a thin, isothermal disc is typically given by a sech 2 law, as shown in the classic work by Spitzer (1942). This is obtained assuming that the radial and vertical motions are decoupled and only the vertical term is used in the Poisson equation. We argue that in the region of low density as in the outer disc this treatment is no longer valid. We develop a general, complete model that includes both radial and vertical terms in the Poisson equation and write th… Show more

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Cited by 4 publications
(1 citation statement)
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References 21 publications
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“…Further, using the stellar and the HI surface density, along with the dark matter mass models, we solve the two-component Jeans equation for modeling the vertical stellar dispersion as a function of radius. We use the observed stellar scaleheight and the limits on the HI velocity dispersion and the HI scaleheight as constraints on the two-component Jeans equation (Narayan & Jog 2002;Banerjee et al 2010;Sarkar & Jog 2020, 2019bPatra 2020bPatra ,a, 2018.…”
Section: Introductionmentioning
confidence: 99%
“…Further, using the stellar and the HI surface density, along with the dark matter mass models, we solve the two-component Jeans equation for modeling the vertical stellar dispersion as a function of radius. We use the observed stellar scaleheight and the limits on the HI velocity dispersion and the HI scaleheight as constraints on the two-component Jeans equation (Narayan & Jog 2002;Banerjee et al 2010;Sarkar & Jog 2020, 2019bPatra 2020bPatra ,a, 2018.…”
Section: Introductionmentioning
confidence: 99%