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In 2022 China Space Station (CSS) will be equipped with atomic clocks andoptical clocks with stabilities of $2 \times 10^{-16}$ and $8 \times 10^{-18}$,respectively, which provides an excellent opportunity to test gravitationalredshift (GR) with higher accuracy than previous results. Based on high-precisefrequency links between CSS and a ground station, we formulated a model andprovided simulation experiments to test GR. Simulation results suggest thatthis method could test the GR at the accuracy level of $(0.27 \pm 2.15)\times10^{-7}$, more than two orders in magnitude higher than the result of theexperiment of a hydrogen clock on board a flying rocket more than 40 years ago.

Testing gravitational redshift based on microwave frequency links onboard China Space Station