|Cannibal Background Information: Tidal Stripping|
As satellite galaxies orbit around their parent, their stars are stripped away from the satellite, reducing its mass. This stripping occurs because of the gravitational tidal field of the parent galaxy. How does this work? The gravitational pull of the parent galaxy becomes less the further away from the center you are. This means that the side of the companion that is closer to the parent gets pulled on a little bit harder than the side of the companion away from the parent. In other words, the companion is being stretched a little bit.
Because of this stretching, stars in the outer regions of the companion can be stripped away if the tidal force is greater than the gravitational force from the companion that holds them to the companion. Since this gravitational force holding stars to the companion drops as you move further away, we can roughly define a distance from the companion's center outside of which stars are stripped away -- this is referred to as the tidal radius of the companion.
So as the satellite orbits, stars outside the tidal radius get stripped. But this tidal radius depends on how far away the satellite is from its parent. If it is far away, the tidal radius is large, since the tidal force from the parent is small. But when the satellite goes near the center of the galaxy, the tidal radius becomes much smaller since the tidal force from the parent gets very large. In other words, most of the stripping happens when the companion passes close to the parent. Got all that?
Okay, there's one more thing. The gravitational force holding stars to the satellite is determined by the satellite's mass (more mass, more gravity, right?). But stars are being stripped away as the satellite orbits, so its mass is dropping. Since its mass is dropping, its harder for the satellite to hold on to its stars. So its stars get stripped even faster. So its mass drops even faster. So it's even harder to hold on to its stars, so it loses them even more faster. So... well, you get the idea. Pretty soon the satellite is ripped to shreds.
It's a tough world out there...