Fig. 9.

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Pulsation period – surface gravity relationship for BLAPs. The dashed black line represents the empirical relationship found by Pietrukowicz et al. (2025). The orange and blue shaded regions are the model relationships for He-core pre-WDs in both the fundamental (n = 0) and first-overtone (n = 1) radial modes, respectively (Kupfer et al. 2019). The purple lines denote the relationship for He-shell burning stars pulsating in the fundamental (n = 0) radial mode from Lin et al. 2023. The measured values for the two BLAPs, ZTF-sdBV10 and ZTF-sdBV12 (green), which we classify here are plotted along with a sample of BLAPs (blue) that have reliable spectroscopic properties reported (see Pietrukowicz et al. (2025).
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