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Recently, \cite{vanDokkum2018} have presented an important discovery of anultra diffuse galaxy, NGC1052-DF2, with a dark matter content significantlyless than predicted from its stellar mass alone. The analysis relies onmeasured radial velocities of 10 Globular Clusters (GCs), of estimatedindividual masses of a few $ \times 10^6 M_\odot$. This is about $1\%$ of theinferred mass of NGC1052-DF2 of $2\times 10^8 M_\odot$ within a half-lightradius, $R_\mathrm{e}=2.2\, \mathrm{kpc}$. The large relative mass and the oldage of these objects imply that they might be susceptible to orbital decay bydynamical friction. Using analytic estimates and N-body simulations of anisolated system matching the inferred mass profile of NGC1052-DF2, we show thatorbits of the most massive GCs should already have decayed on a time scale of afew Gyrs. These findings should help in constraining mass profile and formationscenarios of NGC1052-DF2.

Orbital decay of Globular Clusters in the galaxy with little dark matter