This dynamical model for the 28 galaxies with distances less than 1.5 Mpc , and not apparently tight satellites , is constrained by the initial condition that peculiar velocities at high redshift are small and growing in accordance with the standard cosmology . The solution is a satisfactory fit to most of the measured redshifts , distances , and proper motions , with some interesting exceptions that call for further investigation . The model predicts Milky Way rotation speed 256 km s ^ { -1 } , consistent with Reid et al . ( 2009a ) . Ten Local Group galaxies emanate from low supergalactic latitude and supergalactic longitude \sim 70 ^ { \circ } , perhaps as remnants from failed assembly of a larger galaxy . NGC 6822 passes close to the Milky Way at redshift z \sim 0.27 , in an orbit similar to the Magellanic Clouds . Leo I has heliocentric angular velocity 0.33 mas yr ^ { -1 } , perhaps measurable by the mean stellar motion , and 15 galaxies have proper motions greater than 0.05 mas yr ^ { -1 } , measurable for any with masers .