The Milky Way and other galaxies in the Local Group are gravitationally bound but do not orbit each other in a traditional sense; rather, they share a common center of mass. The Local Group itself is moving toward the Great Attractor, suggesting a complex motion along a space-time geodesic rather than circular or elliptical orbits. Discussions highlight the challenge of understanding movement on cosmic scales, as each layer of observation reveals further complexities. The Great Attractor's motion remains uncertain, with speculation about whether it is stationary or moving toward another mass. Current theories suggest that the universe's expansion is leading to a scenario where galaxies will become increasingly isolated, supporting the "Big Freeze" hypothesis over a potential Big Crunch.