  This study investigates the potential of the Sagnac Effect for detecting dark
matter in the Solar System, particularly within the Sun. Originating from the
relative delay and interference of light beams traveling in opposite directions
on rotating platforms, the effect can account how varying gravitational
conditions affect its manifestation. We analyze the Sagnac time in two static,
spherically symmetric spacetimes: Schwarzschild and one incorporating dark
matter. By comparing the calculated relative deviations in Sagnac time obtained
from satellites orbiting our star with the current precision of onboard atomic
clocks (about $10^{-11}$), we evaluate the feasibility of detecting dark
matter's gravitational influence through this effect.
