Kavli Affiliate: Xian Chen| Summary: Stellar trajectories around the Galactic Center provide a testing environment for general relativity. The intrinsic rotation of these stars evolves under covariant transport in curved spacetime and classical Newtonian quadrupole torques. We analyze the recently observed S301 S-star to quantify the relativistic precession of its rotational axis. Its 8.7-year period and eccentricity of $e = 0.982$ localize geodetic precession and Newtonian quadrupole torques to a step function at periapsis. We incorporate first-order post-Newtonian corrections into the orbital kinematics to calculate the spatial trajectory. Sampling an isotropic distribution of initial orientations and viewing geometries over a 40-year period across a grid of equatorial velocities and rotational ellipticities, we calculate the statistical likelihood of an absolute shift in the projected rotational line broadening, $|Δv sin i|$. The relativistic geodetic shift scales linearly with $v_rm rot$ and the classical quadrupole shift is independent of rotation speed, scaling with $q$. The absolute maximum velocity shift saturates at $46.1,kms$ for oblate stars. The absolute median shifts, driven by geodetic precession, range from $3,kms$ to $6.3,kms$. We calculate the time-domain observable $|Δv sin i|$ to provide a target for infrared spectrographs testing the Schwarzschild metric around Sgr~A$^ast$. The spin of S301 acts as a flying gyroscope whose drift, if measured, can test Einstein’s theory in a regime that has not previously been accessible.| Search Query: arXiv Query: search_query=au:”Chen Xian”&id_list=&start=0&max_results=10Read More