One of the missions NASA is planning is to redirect a small asteroid to lunar orbit and land astronauts on it.
If it can redirect asteroids, why not just send it to LEO and send a Dragon to it?
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Duplicate of Why does NASA plan to put a meteoroid in Lunar orbit instead of Earth orbit?. Also see How useful is placing an asteroid in the Moon's orbit? – TildalWave Oct 27 '15 at 23:49
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The reason is that a lunar orbit (specifically, a distant retrograde orbit or DRO) is much more stable compared to a low Earth orbit so you can leave it there for a long time and study it in the future. You also don't have to worry about it decaying and colliding with the Earth -- although the size of the target asteroid (actually only a piece of an asteroid) probably makes it nothing to worry about.
See this project for a decent description of DRO's and how they relate to NASA's asteroid redirect mission.
Brian Lynch
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uhoh link is barroquen! Without the description the answer is a lot less helpful. This is why link-only answers are discouraged. Is it possible to find another link, or at least a better description so it's possible to look for one? Thanks! – uhoh Dec 13 '18 at 03:49
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Perhaps this? https://scholar.colorado.edu/asen_gradetds/147/ btw I've linked to your answer here – uhoh Dec 13 '18 at 03:58