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Satellites of extrasolar planets, or exomoons, are on the frontier ofdetectability using current technologies and theoretical constraints should beconsidered in their search. In this Letter, we apply theoretical constraints oforbital stability and tidal migration to the six candidate KOI systems proposedby Fox & Wigert (2020) to identify whether these systems can potentially hostexomoons. The host planets orbit close to their respective stars and theorbital stability extent of exomoons is limited to only $\sim$40% of the hostplanet's Hill radius ($\sim$20 R$_{\rm p}$). Using plausible tidal parametersfrom the solar system, we find that four out of six systems would eithertidally disrupt their exomoons or lose them to outward migration within thesystem lifetimes. The remaining two systems (KOI 268.01 and KOI 1888.01) couldhost exomoons that are within 25 R$_{\rm p}$ and less than $\sim$3% of the hostplanet's mass. However, a recent independent transit timing analysis by Kipping(2020) found that these systems fail rigorous statistical tests to validatethem as candidates. Overall, we find the presence of exomoons in these systemsthat are large enough for TTV signatures to be unlikely given the combinedconstraints of observational modeling, tidal migration, and orbital stability.Software to reproduce our results is available in the GitHub repository:Multiversario/satcand.

Application of Orbital Stability and Tidal Migration Constraints for Exomoon Candidates