The ultra-diffuse dwarf galaxy NGC 1052-DF2 ( DF2 ) has ten ( eleven ) measured globular clusters ( GCs ) with a line-of-sight velocity dispersion of \sigma = 7.8 ^ { +5.2 } _ { -2.2 } km/s ( \sigma = 10.6 ^ { +3.9 } _ { -2.3 } km/s ) .
Our conventional statistical analysis of the original ten GCs gives \sigma = 8.0 ^ { +4.3 } _ { -3.0 } km/s .
The overall distribution of velocities agrees well with a Gaussian of this width .
Due to the non-linear Poisson equation in MOND , a dwarf galaxy has weaker self-gravity when in close proximity to a massive host .
This external field effect is investigated using a new analytic formulation and fully self-consistent live N -body models in MOND .
Our formulation agrees well with that of Famaey and McGaugh ( 2012 ) .
These new simulations confirm our analytic results and suggest that DF2 may be in a deep-freeze state unique to MOND .
The correctly calculated MOND velocity dispersion agrees with our inferred dispersion and that of van Dokkum et al .
( 2018b ) if DF2 is within 150 kpc of NGC 1052 and both are 20 Mpc away .
The GCs of DF2 are however significantly brighter and larger than normal GCs , a problem which disappears if DF2 is significantly closer to us .
A distance of 10-13 Mpc makes DF2 a normal dwarf galaxy even more consistent with MOND and the 13 Mpc distance reported by Trujillo et .
al .
( 2019 ) .
We discuss the similar dwarf DF4 , finding good agreement with MOND .
We also discuss possible massive galaxies near DF2 and DF4 along with their distances and peculiar velocities , noting that NGC 1052 may lie at a distance near 10 Mpc .