2025AJ....169...22A

Planet-star obliquity and planet-planet mutual inclination encode a planetary system's dynamical history, but both of their values are hard to measure for misaligned systems with close-in companions. HAT-P-11 is a K4 star with two known planets: a close-in, misaligned super-Neptune with a ≈5 day orbit, and an outer super-Jupiter with a ≈10 yr orbit. In this work we present a joint orbit fit of the HAT-P-11 system with astrometry and S-index corrected radial velocity data. By combining our results with previous constraints on the orientation of the star and the inner planet, we find that all three angular momenta-those of the star, planet b, and planet c-are significantly misaligned. We confirm the status of planet c as a super-Jupiter, with 2.68 ± 0.41 M_Jup at a semimajor axis of 4.10 ± 0.06 au, and planet b's mass of M_bsini_b = 0.074 ± 0.004 M_Jup. We present the posterior probability distribution of obliquity between star A and planet c, and mutual inclination between planet b and planet c.