Tilting at Asteroids

JimPooley writes "The European Space Agency are conducting a feasibility study into a future mission to knock an asteroid off course. A Spanish company are planning the 'Don Quixote' mission to launch a pair of spacecraft at an asteroid. One hits the asteroid, while the other monitors it to see what happens."

Comments

Kicking it off course by a few mm takes 1000 years

[geoswan]

...If all goes to plan, the asteroid's orbit will be disturbed in the beginning by a few fractions of a millimetre...

I did some of the math for this, on the back of an envelope, when we were this asteroid story from late July.

That asteroid was thought to have something like one chance in 300,000 of hitting the Earth in 16 years. I chose 10 years as the amount of time it would take to get something out there to divert it. I assumed it was headed straight at the Earth's center. Then I asked myself how much of a nudge we would have to give the asteroid so it would no longer hit the Earth?

If an asteroid were headed right towards the Earth, we would have to give ti a big enough nudge to change its target by d-day by something like 5,000 kilometres. That is 5*10^9 millimetres. So if gave an asteroid that was going to hit Earth a nudge of one millimetre per second at right angles to its current trajectory, wouldn't it take at least 5*10^9 seconds to change a direct hit to a near miss?

There are only 3.1*10^7 seconds in a year.

So a course change of 1 mm per second will protect us if we have something like 150 years lead time. But adding in a safety margin, and considering they only plan to divert the asteroid fractions of a mm, then that sounds like at least 1000 years.