We present an analysis of absorptive optical bistability in a system of col
d atoms enclosed in a bidirectional ring cavity. This analysis is carried o
ut using a system of equations that extends the so-called Maxwell-Bloch mod
el to self-consistently include atomic center-of-mass motion. The analysis
predicts an instability resulting in the simultaneous generation of an atom
ic density grating and a coherently backscattered radiation field. The form
ation of the density grating arises from a modulation of the radiation pres
sure forces exerted on the atoms. A consequence of this instability is that
the lower transmission branch of the usual bistability curve, where atomic
motion is neglected, can become unstable and the system switches to the up
per transmission branch destroying the bistability.