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Over the past decade, the number of known wide binary systems hasexponentially expanded thanks to the release of data from the Gaia Mission.Some of these wide binary systems are actually higher-order multiples, whereone of the components is an unresolved binary itself. One way to search forthese systems is by identifying overluminous components in the systems. In thisstudy, we examine 4947 K+K wide binary pairs from the SUPERWIDE catalog andquantify the relative color and luminosity of the components to find evidencefor additional, unresolved companions. The method is best illustrated in agraph we call the "Lobster diagram." To confirm that the identifiedoverluminous components are close binary systems, we cross-match our widebinaries with the TESS, K2 and Kepler archives and search for the signs ofeclipses and fast stellar rotation modulation in the light curves. We find that$78.9\%\pm20.7\%$ of the wide binaries which contain an eclipsing system areidentified to be overluminous in the "Lobster Diagram" and $73.5\%\pm12.4\%$ ofthe wide binaries which contain a component showing fast rotation ($P<5$) daysalso show an overluminous component. From these results, we calculate a revisedlower limit on the higher-order multiplicity fraction for K+K wide binaries of$40.0\%\pm1.6\%$. We also examine the higher-order multiplicity fraction as afunction of projected physical separation and metallicity. The fraction isunusually constant as a function of projected physical separation while we seeno statistically significant evidence that the fraction varies withmetallicity.

Vetting the Lobster Diagram: Searching for Unseen Companions in Wide Binaries using NASA Space Exoplanet Missions