  469219 Kamo`oalewa is selected as one of the primary targets of Tianwen-2
mission, which is currently believed to be the most stable quasi-satellite of
Earth. 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 available
ground-based optical observations from Minor Planet Center and a relatively
conservative weighting scheme. Due to the quasi-satellite resonance with Earth,
we show that the detection of Yarkovsky effect by orbital fitting with
astrometric observations becomes difficult as its orbital drift shows a slow
oscillatory growth resulting from the Yarkovsky effect. In addition, we
extensively explore the characteristics of orbital uncertainty propagation and
find that the positional uncertainty mainly arises from the geocentric radial
direction in 2010-2020, and then concentrates in the heliocentric transverse
direction in 2020-2030. Furthermore, the heliocentric transverse uncertainty is
clearly monthly dependent, which can arrive at a minimum around January and a
maximum around July as the orbit moves towards the leading and trailing edges,
respectively, in 2025-2027. Finally, we investigate a long-term uncertainty
propagation in the quasi-satellite regime, implying that the quasi-satellite
resonance with Earth may play a crucial role in constraining the increase of
uncertainty over time. Such interesting feature further implies that the
orbital precision of Kamo`oalewa is relatively stable at its quasi-satellite
phase, which may also be true for other quasi-satellites of Earth.
