Comparison of the orbital properties, eccentricity, and maximum distance from the Galactic plane, of DQ Hya and ASAS J153830−6906.4 with the sample of disc stars from Bensby et al. (2014, B14). The contours represent the 68%, 95%, and 99.7% confidence intervals from 10⁵ orbit realisations; line styles and colours follow those used in Fig. 4. Circle and square markers indicate stars classified by B14 as likely thin disc and thick disc members, respectively, based on a thick-to-thin disc likelihood ratio of < 0.5 and > 2. Star-shaped markers represent stars in between the two components with intermediate likelihood ratios. Both our orbit integrations and those in B14 adopt the Galactic potential from Allen & Santillan (1991).