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469219 Kamo`oalewa is selected as one of the primary targets of Tianwen-2mission, which is currently believed to be the most stable quasi-satellite ofEarth. Here we derive a weak detection of the Yarkovsky effect for Kamo`oalewa,giving $A_2 = -1.075\pm0.447\times 10^{-13} \rm{au/d}^2$, with the availableground-based optical observations from Minor Planet Center and a relativelyconservative weighting scheme. Due to the quasi-satellite resonance with Earth,we show that the detection of Yarkovsky effect by orbital fitting withastrometric observations becomes difficult as its orbital drift shows a slowoscillatory growth resulting from the Yarkovsky effect. In addition, weextensively explore the characteristics of orbital uncertainty propagation andfind that the positional uncertainty mainly arises from the geocentric radialdirection in 2010-2020, and then concentrates in the heliocentric transversedirection in 2020-2030. Furthermore, the heliocentric transverse uncertainty isclearly monthly dependent, which can arrive at a minimum around January and amaximum around July as the orbit moves towards the leading and trailing edges,respectively, in 2025-2027. Finally, we investigate a long-term uncertaintypropagation in the quasi-satellite regime, implying that the quasi-satelliteresonance with Earth may play a crucial role in constraining the increase ofuncertainty over time. Such interesting feature further implies that theorbital precision of Kamo`oalewa is relatively stable at its quasi-satellitephase, which may also be true for other quasi-satellites of Earth.

Peculiar orbital characteristics of Earth quasi-satellite 469219  Kamo`oalewa: implications for the Yarkovsky detection and orbital uncertainty  propagation