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Hot Jupiters orbiting rapidly rotating stars on inclined orbits undergotidally induced nodal precession measurable over several years of observations.The Hot Jupiters WASP-33 b and KELT-9 b are particularly interesting targets asthey are among the hottest planets found to date, orbiting relatively massivestars. Here, we analyze archival and new data that span 11 and 5 years forWASP-33 b and KELT-9 b, respectively, in order to to model and improve upontheir tidal precession parameters. Our work confirms the nodal precession forWASP-33 b and presents the first clear detection of the precession of KELT-9 b.We determine that WASP-33 and KELT-9 have gravitational quadrupole moments$(6.3^{+1.2}_{-0.8})\times10^{-5}$ and $(3.26^{+0.93}_{-0.80})\times10^{-4}$,respectively. We estimate the planets' precession periods to be$1460^{+170}_{-130}$ years and $890^{+200}_{-140}$ years, respectively, andthat they will cease to transit their host stars around the years$2090^{+17}_{-10}$~CE and $2074^{+12}_{-10}$~CE, respectively. Additionally, weinvestigate both planets' tidal and orbital evolution, suggesting that ahigh-eccentricity tidal migration scenario is possible to produce both systemarchitectures and that they will most likely not be engulfed by their hostsbefore the end of their main sequence lifetimes.

Nodal Precession and Tidal Evolution of Two Hot-Jupiters: WASP-33 b and KELT-9 b