Peak mean temperature of the disk (contours) due to the supernova radiation as a function of the distance to a supernova (d in parsec) and the impact angle (Θ in degrees, measured from the disk’s angular-momentum axis). The adopted type IIp supernovae, SN11aof (left), has a peak luminosity of 1.1 × 10⁴³ erg s⁻¹ and SN10a (right) has a peak luminosity of 2.3 × 10⁴² erg s⁻¹. Evaporation of the bulk of the solids in the proto-planetary disk is achieved when the irradiation heats it to a mean temperature of ≳ 1500 K. The two shaded regions indicate the range in distance for which the Sun’s obliquity is consistent with the currently observed value of 5.°6 ± 1.°2 (blue with “\\” hashes), and for which the disk is truncated to 42–55 au (green with “//” hashes). This area is indicated in Figs. 11 and 12 with a blue polygon. The most promising part of parameter space is where the two hashed areas overlap because that is where both criteria are met.