3. A black, rocky meteoroid 30 cm in diameter with a density of 2.5 gm cm:3 orbits a 12 solar mass main sequence star at an initial distance of 12 AU at the time the star begins to burn hydrogen into helium on the Zero Age Main Sequence. a) Estimate how many years it will take for the meteoroid to spiral into the star due to the drag created by the aberration of stellar radiation (Poynting-Robertson drag). b) Will the meteoroid reach the star's photosphere before the end of the star's Main Sequence lifetime (assume the star burns at its average Main Sequence luminosity throughout its lifetime)