  This exploration of solutions for the orbits of Local Group galaxies under
the cosmological initial condition of growing peculiar velocities and fitted to
measured distances, redshifts, and proper motions reveals a considerable
variety of histories allowed by present constraints. The solutions also point
to computations and measurements at the current level of precision that may
lead to a more accurate picture of Local Group dynamics, or perhaps point to
adjustments of our simple picture of the arrangement of mass within the Local
Group.
