Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forecasts on the Dark Matter Density Profiles of Dwarf Spheroidal
  Galaxies with Current and Future Kinematic Observations   We forecast parameter uncertainties on the mass profile of a typical Milky
Way dwarf spheroidal (dSph) galaxy using the spherical Jeans Equation and
Fisher matrix formalism. We show that radial velocity measurements for 1000
individual stars can constrain the mass contained within the effective radius
of a dSph to within 5%. This is consistent with constraints extracted from
current observational data. We demonstrate that a minimum sample of 100,000
(10,000) stars with both radial and proper motions measurements is required to
distinguish between a cusped or cored inner slope at the 2-sigma (1-sigma)
level. If using the log-slope measured at the half-light radius as a proxy for
differentiating between a core or cusp slope, only 1000 line-of-sight and
proper motions measurements are required, however, we show this choice of
radius does not always unambiguously differentiate between core and cusped
profiles. Once observational errors are below half the value of the intrinsic
dispersion, improving the observational precision yields little change in the
density profile uncertainties. The choice of priors in our profile shape
analysis plays a crucial role when the number of stars in a system is less than
100, but does not affect the resulting uncertainties for larger kinematic
samples. Our predicted 2D confidence regions agree well with those from a full
likelihood analysis run on a mock kinematic dataset taken from the Gaia
Challenge, validating our Fisher predictions. Our methodology is flexible,
allowing us to predict density profile uncertainties for a wide range of
current and future kinematic datasets.

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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph