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TianQin is a proposed space-borne gravitational wave (GW) observatorycomposed of three identical satellites orbiting around the geocenter with aradius of $10^5$ km. It aims at detecting GWs in the frequency range of 0.1 mHz-- 1 Hz. The detection of GW relies on the high precision measurement ofoptical path length at $10^{-12}$~m level. The dispersion of space plasma canlead to the optical path difference (OPD, $\Delta l$) along the propagation oflaser beams between any pair of satellites. Here, we study the OPD noises forTianQin. The Space Weather Modeling Framework is used to simulate theinteraction between the Earth magnetosphere and solar wind. From thesimulations, we extract the magnetic field and plasma parameters on the orbitsof TianQin at four relative positions of the satellite constellation in theEarth magnetosphere. We calculate the OPD noise for single link, Michelsoncombination, and Time-Delay Interferometry (TDI) combinations ($\alpha$ and$X$). For single link and Michelson interferometer, the maxima of $|\Delta l|$are on the order of 1 pm. For the TDI combinations, these can be suppressed toabout 0.004 and 0.008 pm for $\alpha$ and $X$. The OPD noise of the Michelsoncombination is colored in the concerned frequency range; while the ones for theTDI combinations are approximately white. Furthermore, we calculate the ratioof the equivalent strain of the OPD noise to that of TQ, and find that the OPDnoises for the TDI combinations can be neglected in the most sensitivefrequency range of TQ.

Analyses of Laser Propagation Noises for TianQin Gravitational Wave Observatory Based on the Global Magnetosphere MHD Simulations