Do you know how many Indian space objects are currently in orbit? - Here's the answer : 192

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A nuclear explosion can also change the course so drastically that it can direct it to Earth. Here comes nonlinearity in mathematical equations. Read about Chaos Theory. You will love it. A minor off calculation can result in completely different outcome.

The folks at NASA know how to do their sums besides if the trajectory is already directed towards Earth, a slight nudge at a great distance caused by the shockwave of the nuclear blast should do the trick..............have come across nonlinear dynamics umpteen years ago.Kudos