Image Details
Caption: Figure 8.
Estimated temporal evolution of TOI-4468’s J2 for a range of initial rotation periods, 0.1 < Prot < 10 days. The necessary J2 to achieve a secular resonance between planets b and c is highlighted. The case with an initial rotation period of 1 day is traced by the black curve. J2 may reach the resonant value for initial rotation periods significantly shorter than 1 day. It is therefore unlikely, but not impossible, that this resonance was ever crossed in the system’s history. The kink at 108 years is due to k2 becoming constant as the star’s interior becomes fully radiation dominated. At ages >1 Gyr, k2 and Ωb are roughly constant, so J2 ∝ t−1 per the braking law of A. Skumanich (1972).
© 2026. The Author(s). Published by the American Astronomical Society.