Untangling the Gravitational Wave Linear Memory from Core-Collapse Supernovae using the Moon

Following the milestone of detecting gravitational waves (GWs) from merging compact binaries, the next significant watershed moment in GW astronomy lies in detecting GWs from core-collapse supernovae (CCSNe). In this \textit{Letter}, I describe the possibility of detecting the GW linear memory -- a phenomenon resulting from a combination of aspherical matter ejection and anisotropic neutrino emission during stellar collapse -- using GW detectors on the Moon. This would grant unprecedented access to the sub-Hz/Hz GW frequency range, which is inaccessible to both current and future terrestrial GW detectors. I demonstrate that three-dimensional CCSNe GW waveforms may be detectable by both seismometer and interferometeric lunar GW detectors, with the latter design proposal extending 10 kpc to megaparsec detection distances.