On 12 September 2005, the Japanese Hayabusa spacecraft arrived at the asteroid 25143 Itokawa. Due to Itokawa’s small size (~550 meters) and low gravity, the spacecraft did not orbit, but hovered near each of two stations on a line between the asteroid and Earth. It remained at the “Gate Position” at a range of about 18 km until September 30, and then shifted to the “Home Position” at a range of about 7 km. Between October 8 and 28, it made several excursions to higher phase locations to obtain varying illumination conditions, and away from the equator to obtain polar data. On November 4, 9 and 12, the spacecraft made approaches to the asteroid in preparation for touchdowns on November 20 and 26.
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Gaskell et al. (2006) studied this question.
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