Between the news item of an asteroid giving Earth a close shave, and another news item of the impending GRAIL impact ; I find myself wondering whether a NEO could be a hazard to Earth via the moon. I'm not sure this scenario is realistic. Perhaps such a large body may naturally be captured by Earth gravity instead of Lunar gravity before impact itself...
That is to say -
Could an NEO be
- large enough &
- have sufficient velocity
to impact on Luna so that fragments would
- escape lunar gravity, and
- make the down-hill run to Earth, and
- remain large enough to cause loss of life/property on Earth?

