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We show how astrometric and spectroscopic errors introduced by an unresolvedbinary system can be combined to give estimates of the binary period and massratio. This can be performed analytically if we assume we see one or more fullorbits over our observational baseline, or numerically for all other cases. Weapply this method to Gaia DR3 data, combining the most recent astrometric andspectroscopic data. We compare inferred periods and mass ratios calculatedusing our method with orbital parameters measured for non-single stars in GaiaDR3 and find good agreement. Finally, we use this method to search the subsetof the Gaia DR3 RVS dataset with rv_method_used=1 for compact objectcandidates. We select sources with significant astrometric and spectroscopicerrors ($RUWE_{ast}>1.25$ and $RUWE_{spec}>2$), with large inferred massratios, and large inferred companion masses ($q>1$ and $M_c>3 M_\odot$) givinga catalogue of 4,641 candidate hierarchical triples and Main Sequence+CompactObject pairs. We apply more stringent cuts, and impose low levels ofphotometric variability to remove likely triples ($RUWE_{phot}<2$) producing agold sample of 45 candidates.

Binary parameters from astrometric and spectroscopic errors--candidate hierarchical triples and massive dark companions in Gaia DR3