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The effect of density inhomogeneity on the YORP effect for a given shapemodel is investigated. A density inhomogeneity will cause an offset between thecenter of figure and the center of mass and a re-orientation of the principalaxes away from those associated with the shape alone. Both of these effects canalter the predicted YORP rate of change in angular velocity and obliquity. Weapply these corrections to the Itokawa shape model and find that its YORPangular velocity rate is sensitive to offsets between its center of mass andcenter of figure, with a shift on the order of 10 meters being able to changethe sign of the YORP effect for that asteroid. Given the non-detection of YORPfor Itokawa as of 2008, this can shed light on the density distribution withinthat body. The theory supports a shift of the asteroid center of mass towardsItokawa's neck region, where there is an accumulation of finer gravels.Detection of the YORP effect for Itokawa should provide some strong constraintson its density distribution. This theory could also be applied to asteroidsvisited by future spacecraft to constrain density inhomogeneities.

Effect of Density Inhomogeneity on YORP: The case of Itokawa