[FIGURE]

Fig. 2a and b. a [FORMULA] and [FORMULA] indicate radii for subsequent evolutionary stages of the 20  [FORMULA] primary as tabulated in Schaller et al. 1992. From the mass of the primary at the tabulated point one may calculate the semi-major axis of a binary with a 1  [FORMULA] secondary in which the primary fills its Roche lobe, and from this the semi-major axis [FORMULA], shown as a solid line, of the binary at the beginning of its evolution. For each tabulated evolutionary stage we calculate the minimum semi-major axis at which the core of the primary survives the spiral-in of a 1  [FORMULA] companion, and from this the minimum semi-major axis [FORMULA], indicated with the dashed line, of the binary at the beginning of its evolution. Primaries at the evolutionary stages marked with a [FORMULA] cannot fill their Roche lobe for the first time at that stage but will reach their Roche lobe at an earlier point in their evolution. A low mass X-ray binary is formed when [FORMULA] for evolutionary stages indicated with [FORMULA]. b as a for a 60  [FORMULA] primary