Originally posted by: Soccerman06
Originally posted by: Armitage
Originally posted by: Soccerman06
Originally posted by: Armitage
Originally posted by: Soccerman06
Originally posted by: AbsolutDealage
Quit feeding this guy. Seriously.
If there were ever an argument for being able to hide posts from a specific user, it would be him. Just read around his HT posts and you will see what I mean.
I'll shutup now, b/c this forum is not for flaming.
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Back on topic, everyone else is right piddle. You cannot use E=MC² in this case, because you are not going to be turning the asteroid into energy. What you are essentially calculating is the energy of the asteroid if it were travelling at c... which means nothing. What you really want is the kinetic energy of the asteroid, which any high school physics book will tell you, is K=mv^2/2.
I hope you meen Ke=mv^2.
The thing is with asteroids, meteors, comets and whatnot is if one was going to hit Earth, and if we detected and launched some device as early as say 10 milion miles away
10 million miles isn't that far on this scale - only about 3.8 degrees of the earths orbital path. If that's the soonest we can intercept, I suspect we're toast. If you have less then the orbital period of the asteroid to work with before impact you want to do your manuever about 180 degrees away from the impact point for in-plane manuevers, or 90 degrees away for out of plane (inclination) manuevers. Out of plane takes alot more energy, so forget about it for the moment. In this in-plane case case you are hoping to raise or lower the orbit of the impactor by at least half the radius of the earth.
Let's pick a very simple case - an asteroid with a aphelion @ 300,000,000 Km and perihelion @ the earth - 150,000,000 Km. So let's say we want to raise the perihelion so the object no longer crosses earth orbit - make it an even 13,000 Km.
The energy of the asteroid orbit is: E = -u/2a = 1.3271544e11/(2*225000000) = -294.9232 km^2/s^2
Orbital velocity is given by E = V^2/2 - u/r
For the initial orbit:
Vaphelion = 17.173328157 Km/s
Vperihelion = 34.34665631 Km/s
for the raised orbit:
Vaphelion = 17.173824254 Km/s
Vperihelion = 34.34467197 Km/s
So the dV needed at aphelion is 0.4961 meters/second
Let's assume a 1Km diameter spherical stone asteroid. Given a density of 2 g/cm^3 its mass will be approximately 8.3776e12 Kg
So the energy needed to give it that dV will be 1/2 M V^2 = 1.0309e12 kg m^2/s^2
This works out to 0.2464 kilotons
Quite a bit less then I was expecting - I better check my math. However, when you consider bombs, I suspect that setting off a bomb next to an asteroid will be a very inefficient & unpredictable way to change the velocity of a rock in space. If the asteroid has a lower perihelion, the energy is higher, so anything you do with it will take more energy as well.
Now if you have several revs to deal with it, you can get away with less dV. You don't have to raise the orbit by that amount, but simply alter the period enough so that even though it crosses earths orbit, the timing is changed and the earth isn't there at the same time as the asteroid. This is left as an exercise for the reader
, we would easily be able to deflect it out of the way. Even if you nudge it less than 1 degree, that is still way more than enough deflect it out of Earths path.
One degree of what?
1 degree if you think about the earth and the meteor/asteroid on an xy axis.
But I ment 10 billion sorry bout that.
Sure, what's a few orders of magnitude between friends! But how do you plan to spot an earth impacting asteroid or comet at a distance more then double the radius of Neptunes orbit?
There is another thing you can do besides using nukes. Basically launch many rockets into space and put them on an intercept course with the meteor/asteroid. Once they have gotten into the proper position, they would shoot out a tow hook which would ancor into the asteroid. Then powerful chemical jets would propel the rock out of our way. There would have to be many rockets depending on which direction you would want the rock to go, but the farther away, the less required. This solution could only work if the rock was not rotating at a major speed.
Sure, that'll work.
Using an Isp of 465 which is about what the space shuttle main engine gets and is pretty good for a chemical rocket I get a mass ratio of 1.00011 for the 0.5 m/s dV above.
So you just need 0.00011 times the mass of the asteroid in fuel - that's just shy of 1 billlion Kg Any plans on how to get that much gas up there?
Other alternatives include solar sails, solar panels with ion engines, etc. But these are very low thrust, so you beter get there early!
I havent thought of getting it there, thats not my job, I think of things, others figure out the problems![]()
So what good is thinking of things if they can't work?
Our largest launch vehicle can put about 23,000 Kg into low earth orbit. Assuming the entire payload is fuel (ie. no structural weight), it would take over 43,000 launchs just to get that fuel to LEO. Getting it to the asteroid is another whole issue.
Solar sails would work but the problem is it would have to be soo big to counteract the weight of the rock that it would be easier to just use rockets, and you cant put it at an angle because there would be too little oomph from other sources, so the only real direction you could use would be slowing the rock down, but that also creates a problem of it might hit the earth at a later point in time.
A solar sail would have very low thrust, which is why you need it up there for a very long time. But it doesn't just slow it down. If you deploy it on the outbound half of the orbit, it speeds it up. On the inbound half, you could furl it or such. But it doesn't really matter whether it is slowing it down or speeding it up - the goal is to change the period so that the phasing WRT the earth is changed and it doesn't hit. Faster or slower will work. The example I gave above of raising the perihelion above earth's orbit is completely contrived in that respect - it's very unlikely that you would have a situation like that. A big problem with the solar sail idea is the spin of the asteroid though.
Maybe I'll try a phasing example a bit later.
Ion drives would be an intriging thought but they need a nuclear reactor to be of any use, because batteries would die way too soon and solar panels would barely put enough energy off at that great of distance.
Nasa has been thinking up ways to use nukes as a propulsion device, but that would require large amounts of testing before we could actually use one. But think about using many small nukes as a way to give a meteor a nudge in the right direction. They also are thinking about using plasma as a propulsion but how do you heat up gasses above millions of degrees without using a nuke and for a very long time, in space? :laugh: someone stop my babbling
