Collective migration of epithelial cells drives diverse tissue remodeling processes. In many cases, a free tissue edge polarizes the cells to promote directed motion, but how edge-free or closed epithelia initiate migration remains unclear. Here, we show that the rotational migration of follicular epithelial cells in the egg chamber is a self-organizing process. Combining experiments and theoretical modeling, we identify a positive feedback loop in which the mechanosensitive behavior of the atypical cadherin Fat2 synergizes with the rigid-body dynamics of the egg chamber to both initiate and sustain rotation. Mechanical constraints arising from cell-cell interactions and tissue geometry further align this motion around the egg chamber's anterior-posterior axis. Our findings reveal a biophysical mechanism - combining Fat2-mediated velocity-polarity alignment, rigid-body dynamics, and tissue geometry - by which a closed epithelial tissue self-organizes into persistent, large-scale rotational migration , expanding current flocking theories.