The 14 Her Planetary System: Companion Masses and Architecture from Radial Velocities and Astrometry

We combine Hubble Space Telescope (HST) Fine Guidance Sensor, Hipparcos, and Gaia DR3 astrometric observations of the K0 V star 14 Her with results an analysis extensive ground-based radial velocity data to determine perturbation orbits masses for two previously known companions, b c. Radial velocities obtained Hobby-Eberly from literature now span over twenty five years. With these we obtain improved RV orbital elements both inner companion, long-period outer also find evidence additional signal P $/sim$ 3789d. then model astrometry HST, system parallax proper motion, periods, inclinations, sizes due P_b = 1767.6 +/- 0.2 d, semi-major axis {\alpha}_b 1.3 0.1 mas, inclination i_b 36 3 degrees, P_c 52160 1028 {\alpha}_c 10.3 0.7 i_c 82 degrees. In agreement a past investigation, b, c exhibit significant mutual inclination. Assuming primary mass M 0.98 0.04Msun, companion M_b 8.5 1.0Mjup M_c 7.1 1.0Mjup.