The last few years have seen the discovery of many faint and ultra-faint dwarf spheroidal galaxies around the Milky Way .
Among these is a pair of satellites called Leo IV and Leo V. This pair is found at large distances from the Milky Way ( 154 and 175 kpc respectively ) .
The rather small difference in radial distance , and the fact that they also show a close projected distance on the sky , has led to the idea that we might be seeing a new pair of bound galaxies - like the Magellanic Clouds .
In this paper we investigate this speculation by means of a simple integration code ( confirming the results with full N-body simulations ) .
As the luminous mass of both faint dwarfs is far too low to allow them to be bound , we simulate the pair assuming extended dark matter haloes .
Our results show that the minimum dark matter mass required for the pair to be bound is rather high - ranging from 1.6 \times 10 ^ { 10 } M _ { \odot } to 5.4 \times 10 ^ { 10 } M _ { \odot } ( within the virial radii ) .
Computing the mass of dark matter within a commonly adopted radius of 300 pc shows that our models are well within the predicted range of dark matter content for satellites so faint .
We therefore conclude that it could be possible that the two galaxies constitute a bound pair .