It is seen from Table 1 that the detection of dust trails associated with asteroid Phaethon would be difficult, assuming the meteoroids in the dust trail had a similar size and number density to those in the dust trail of 55P/Tempel-Tuttle. A pessimistic prediction also comes from the fact that we will see the dust trails of Phaethon nearly perpendicular to its orbit from outside of the dust tube, while the Leonid meteoroid stream was observed by [5] along its orbit from the inside the dust tube. However, we expect that the hypothetical dust trail of Phaethon may be denser in number density than that of normal meteoroid streams because of the very active appearance of Geminid meteor shower. In addition, it is assumed that the parent body (Phaethon) is in a dormant cometary phase, and consequently the meteoroids existing along its orbit have already spent a longer time in space after leaving the parent body in its active cometary phase. In that case, since larger grains have longer lifetimes in the interplanetary space against the Poynting-Robertson effect, the size of meteoroids surviving near the orbit of Phaethon is expected to be larger. These conjectures lead us to an optimistic view of observations.

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