Characterize the orbital-period distribution of white-dwarf exoplanets

Characterize the underlying orbital-period distribution of white-dwarf exoplanets so that Roman Galactic Bulge Time Domain Survey yield predictions can be refined beyond the assumed log-uniform period prior.

Background

The predicted Roman yield varies by approximately a factor of six between the period-averaged estimate and the sensitivity at the shortest periods. Close-in planets produce many more expected detections than long-period planets, while population-synthesis models also predict that many surviving white-dwarf companions occupy wide orbits. Because the actual period distribution is not established, the paper presents its period-averaged yields using a log-uniform prior and provides a period-resolved detection grid that can be refolded once observational constraints become available.

References

While no confident constraints can be placed on the underlying period distribution of WD planets, our $N_\mathrm{eff}(R_p, P)$ grid can be folded with any such period distribution once more detections become available in the future.

Detecting White Dwarf Exoplanets in the Roman Era  (2609.09481 - Lin et al., 8 Sep 2026) in Section 3.2.1, Orbital Period Dependence; Section 6, Conclusions