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Measuring Dark Matter Properties with Astrometry. Louie Strigari. TASC 2006. 10/20/2006. In collaboration with: James Bullock, Manoj Kaplinghat, Stelios Kazantzidis, Steve Majewski. Dark Matter and Galaxy Central Densities. CDM. cusp. WDM. Simon et al 05. core. SuperWIMPS & Meta-CDM.
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Measuring Dark Matter Properties with Astrometry Louie Strigari TASC 2006 10/20/2006 In collaboration with: James Bullock, Manoj Kaplinghat, Stelios Kazantzidis, Steve Majewski
Dark Matter and Galaxy Central Densities CDM cusp WDM Simon et al 05 core SuperWIMPS & Meta-CDM Louie Strigari UC Irvine
Dwarf Spheroidal Galaxies Fornax To observer Walker et al. 2006 • Exhibit no rotation • DM dominated • Information on DM halo from line of sight velocities
Line of sight profiles Fornax Strigari et al. 2006 • Degeneracy with cores and cusps in all systems • Nothing prevents dark halos from being very extended
Projections • Degeneracy remains unbroken even with 10,000 stars • Space Interferometry Mission (SIM): extragalactic astrometry with micro-arcsec resolution http://planetquest.jpl.nasa.gov/SIM/sim_index.cfm • Errors of order km/s on a few hundred stars at a typical dSph distance Louie Strigari UC Irvine
Reflex Motion of Sun from 100pc (axes 100 µas) SIM Positional Error Circle(4µas) Parallactic Displacement of Galactic Center Hipparcos Positional Error Circle (0.64 mas) . Apparent Gravitational Displacement of a Distant Star due to Jupiter 1 degree away HST Positional Error Circle (~1.5 mas) How Precise is SIM? Adapted from: http://planetquest.jpl.nasa.gov/SIM/sim_index.cfm
Constructing moments for proper motions = velocity anisotropy of the stars Dark matter R
Error estimates 2nd moment n = number of stars in sample 4th moment
Reconstructing the central slope I. (NFW) Line of Sight Proper motions + + =
Reconstructing the central slope II. (Cores) Line of Sight Proper motions + + =