Complex sentence: In the case where one of the two objects is much larger and more massive than the other, the barycenter will be located within the larger object and rather than appearing to orbit it will simply be seen to "wobble" slightly.
Split into simpler sentences: In the case where one of the two objects is much larger and more massive than the other, the barycenter will be located within the larger object. Rather than appearing to orbit it will simply be seen to "wobble" slightly.