The Sagittarius Dwarf Galaxy would shine at an impressive visual magnitude 3.6 were its light to emanate from a single spot on the sky.
The dwarf galaxy's tidal tails — drawn out in the course of several eccentric orbits around the Milky Way — trace nearly a complete circle around the dome of the sky. Furthermore, they "show relatively little evidence for precession," implying that the Milky Way's mass (unlike its luminous stars) is distributed in a spherically symmetric manner.
Our Sun lies within just a few thousand light-years of the Sagittarius Dwarf's orbital plane, and stars that once were gravitationally bound to the disintegrating satellite galaxy may now be "in or near the solar neighborhood."
The globular cluster M54 precisely marks the diffuse galaxy's center, though "the connection between M54 and the concentration of stellar populations of a variety of ages at its location . . . is still unclear."