We present new FLAMES+GIRAFFE spectroscopy of 36 member stars in the isolated Local Group dwarf spheroidal galaxy Tucana. We measure a systemic velocity for the system of v Tuc = 216.7 +2.9 −2.8 kms −1 , and a velocity dispersion of σ v,Tuc = 14.4 +2.8 −2.3 kms −1 . We also detect a rotation gradient of dv r dχ = 7.6 +4.2 −4.3 kms −1 kpc −1 , which reduces the systemic velocity to v Tuc = 215.2 +2.8 −2.7 kms −1 and the velocity dispersion to σ v,Tuc = 13.3 +2.7 −2.3 kms −1 . We perform Jeans modelling of the density profile of Tucana using the line-of-sight velocities of the member stars. We find that it favours a high central density consistent with 'pristine' subhalos in ΛCDM, and a massive dark matter halo (∼10 10 M ) consistent with expectations from abundance matching. Tucana appears to be significantly more centrally dense than other isolated Local Group dwarfs, making it an ideal laboratory for testing dark matter models.
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