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We present a new technique to probe the central dark matter (DM) density profile of galaxies that harnesses both the survival and observed properties of star clusters. As a first application, we apply our method to the 'ultra-faint' dwarf Eridanus II (Eri II) that has a lone star cluster ∼45 pc from its centre. Using a grid of collisional N -body simulations, incorporating the effects of stellar evolution, external tides and dynamical friction, we show that a DM core for Eri II naturally reproduces the size and the projected position of its star cluster. By contrast, a dense cusped galaxy requires the cluster to lie implausibly far from the centre of Eri II (>1 kpc), with a high inclination orbit that must be observed at a particular orbital phase. Our results, therefore, favour a DM core. This implies that either a cold DM cusp was 'heated up' at the centre of Eri II by bursty star formation or we are seeing an evidence for physics beyond cold DM. [ABSTRACT FROM AUTHOR]

We investigate the dynamical evolution of a star cluster in an external tidal field by using N-body simulations, with focus on the effects of the presence or absence of neutron star natal velocity kicks. We show that, even if neutron stars typically represent less than 2 per cent of the total bound mass of a star cluster, their primordial kinematic properties may affect the lifetime of the system by up to almost a factor of 4. We interpret this result in the light of two known modes of star cluster dissolution, dominated by either early stellar evolution mass-loss or two-body relaxation. The competition between these effects shapes the mass-loss profile of star clusters, which may either dissolve abruptly ('jumping'), in the pre-core-collapse phase, or gradually ('skiing'), after having reached core collapse. [ABSTRACT FROM AUTHOR]

J Pritchard, K Masters, J Allen, F Contenta, L Huckvale, S Wilkins and A Zocchi report on a survey of the gender of astronomers attending and asking questions at this year's NAM.Jonathan Pritchard, Karen Masters, James Allen, Filippo Contenta, Leo Huckvale, Stephen Wilkins and Alice Zocchi report on a survey of the gender of astronomers attending and asking questions at this year's UK National Astronomy Meeting. [ABSTRACT FROM AUTHOR]