Constraints on the Occurrence of `Oumuamua-Like Objects

1I/2017 U1 (`Oumuamua), the first-detected macroscopic interstellar interloper near the Earth, provided an unprecedented view of a small body that originated outside of the Solar nebula. Surprisingly, ‘Oumuamua’s unique attributes do not fit within the current categorization of small bodies and are dissimilar to those of 2I/Borisov. Currently, there exists no consensus in the astronomical community regarding either the bulk composition or the formation mechanism for `Oumuamua. In this presentation, we assess the merits of the various interpretations that have been suggested to explain ‘Oumuamua’s observed non-Keplerian trajectory with the non-detection of traditional cometary volatiles. Specifically, we attempt to reconcile the leading hypotheses on the nature of ‘Oumuamua with the implied reservoir of similar objects from its detection by Pan-STARRS. By developing a general framework to quantify the population of interstellar objects from a given interpretation, we can directly compare the various proposed formation histories. We consider two exotic ices, hydrogen and nitrogen, as well as compositions attributing `Oumuamua’s non-gravitational acceleration to solar radiation pressure. While we conclude that none of these interpretations are perfectly satisfactory, we make predictions that will be testable by the Vera Rubin Observatory to resolve the tension introduced by ‘Oumuamua.