Originally posted by sonhouse
I used 3 grams/cm^3 for the mass, and came up with about 500 million tons for a 1 Km diameter rocky asteroid. I thought millions of trillions of tons was a bit off🙂 Take a look at an aircraft carrier, 100,000 tons and it is about 1200 feet long, about 360 meters, or .36 km. You couldn't fit more than ten or twenty of them inside a 1 km asteroid. I think your numbers are a bit off.
My bad. I just re looked at the calculation and found a few extraneous zeros in the radius [which I then cubed]. 😕
Still, I still get a DeltaV in the 100th's to 10th's of a mm/s of off equivalent thrust.
Bearing in mind that the Earth is ~13,000km across, a dead on hit would need to be deflected by
at least 6,500km. And bearing in mind that Earth's gravity is going to pull it in from a distance out
so you have to deflect it far enough away that it doesn't just get pulled back in.
[A glancing blow would need less deflection, however the deflection needed to avoid the object being pulled in
by Earth's own gravity is going to be larger than one Earth radius, so I am using that as the minimum]
A hundredth of a mm/s will get you 6,500km over ~750 days. which means that these multi-megaton
nukes need to hit >~2 years away from impact.
While vaporising some of the asteroid/comet will add thrust, a large shock-wave could blast materiel off
the far side of the asteroid/comet, which will act as a counter thrust.
Deep internal detonations will have almost no effect as the blast will be roughly omnidirectional,
and you need epically huge nukes [that we don't posses] to overcome the internal gravitational binding
energy of a multi km object.
There is a reason that every time they do a documentary on asteroid deflection the first thing they say is
we've looked at deflecting these with nukes and then decided to do something [almost anything] else.
If we see one weeks/months out, nukes are going to do nothing other than make it radioactive, and change
where it hits.