The 23 - 51 metre wide asteroid 2014 JE15 will make a close pass (41.1 lunar distances, 0.1057 AU), travelling at 5.70 km/second, to the Earth-Moon system on the 28th May 2014 @ 02:27 UT ±00:14.
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The Lunar Distance (LD), the distance between Earth and the Moon, equals 384,401 km, (or 0.00256 AU).