A non-parametric method for measuring the local dark matter density
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Silverwood, H, Sivertsson, S, Steger, P, Read, JI and Bertone, G (2016) A non-parametric method for measuring the local dark matter density Monthly Notices of the Royal Astronomical Society Main Journal., 459 (4). pp. 4191-4208.
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Abstract
We present a new method for determining the local dark matter density using kinematic data for a population of tracer stars. The Jeans equation in the z-direction is integrated to yield an equation that gives the velocity dispersion as a function of the total mass density, tracer density, and the ‘tilt’ term that describes the coupling of vertical and radial motions. We then fit a dark matter mass profile to tracer density and velocity dispersion data to derive credible regions on the vertical dark matter density profile. Our method avoids numerical differentiation, leading to lower numerical noise, and is able to deal with the tilt term while remaining one dimensional. In this study we present the method and perform initial tests on idealised mock data. We also demonstrate the importance of dealing with the tilt term for tracers that sample > ∼ 1 kpc above the disc plane. If ignored, this results in a systematic underestimation of the dark matter density.
| Item Type: | Article | ||||||||||||||||||
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| Subjects : | subj_Physics | ||||||||||||||||||
| Divisions : | Faculty of Engineering and Physical Sciences > Physics | ||||||||||||||||||
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| Date : | 21 April 2016 | ||||||||||||||||||
| Identification Number : | https://doi.org/10.1093/mnras/stw917 | ||||||||||||||||||
| Copyright Disclaimer : | Copyright 2016 Oxford University Press.This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society, published by Oxford University Press on behalf of the Royal Astronomical Society. | ||||||||||||||||||
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| Depositing User : | Symplectic Elements | ||||||||||||||||||
| Date Deposited : | 20 Apr 2016 15:22 | ||||||||||||||||||
| Last Modified : | 05 Jul 2016 14:19 | ||||||||||||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/810488 |
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