Supernova explosions emit debris including neutrinos and antineutrinos. In a previous paper these were linked to a hypothetical acceleron field and the variations in this acceleron field as the blast reached Earth were investigated as a cause for accelerated nuclear decays. In this paper some of the collateral reactions which would result are investigated to see if they are consistent with known things. This includes the known detections which are associated with Supernova 1987A and other supernovae. Also, the rate of supernova detections on Earth is considered. One cannot induce stars to explode, so we must be content with what has been observed. We find that there are no observations available at present which would rule out the existence of the acceleron field and the associated particle, as long as it has a mass within a specified range. Also, the recent discovery of uranium’s presence in the spectra of some galactic halo stars is discussed in the context of the acceleron mechanism. A separate paper will discuss the dependence of supernova light curves on the nuclear decay of relevant nuclei.