Re: Can you describe an effective method to deflect a comet or asteroid headed for Ea
Actually, in the very question there is an important Dicotomy. A comet or an Asteroid?
The two cases are greatly different. We (humanity) would know of an asteroidal impact with a relevant margin, as a minimum a decade or so. For example Asteroid Aphophis MAY encounter Earth in 2036 if the encounter of 2029 plays badly. In that case it would be 7 years.
For such class of objects, you can try to give a small push so that the accumulated movement over multiple orbits displace the offending object at the "impact" moment. For volatile-rich objects the evaporation of part of the asteroid and the subsequent reaction push suffices. To obtain the evaporation either you use nuclear explosives or sun mirrors/sails or kinetic impactors. For Mass vs. Effectivity ratio a nuke is the most effective method but legal and political issue would probably impede the use of such a tool.
For volatile-poor bodies the gravitational tractor or the mass driver (look at Gregory Benford and David Brin's "HEart of A Comet") would work.
@steve: the removing or adding of MASS has no effect. You need to alter the MOMENTUM of the body. Apply a force in other words.
@pyan: do the calculation: if the material is there, this is exactly what you do; if there is no volatiles, the energy spent to bring water can better be used to build another solution (mass drivers is my favourite)
If instead it is a comet, the situation is dire, MUCH more dire. With the present and near future technological level, and given the present monitoring systems we would be able to see a long period comet when it is more or less at Jupiter orbit. This means 9 to 12 months before impact. All long-duration deviation methods do not work for lack of time.
In a study done in 2005 by the International Space University, named Cassandra, it has been proven that the main issue is not how to deliver the substantial push needed to move the comet, but the humongous amount of Delta-V needed to bring something to impact the comet. Even assuming an encounter with a delta V of several tens of km/s (no matching of velocity) and a very compact "impactor" spacecraft, the fuel needs are astronomical.
See below, there is a link to the report with all the numbers.
If a long period comet is posed to hit the Earth in the next 20-30 years, the only thing humanity could possibly do is try to survive the consequences.
In any case, one has to be very careful about fragmentation methods: if the body breaks up in rather big pieces, it would create a shotgun effect. Instead of a single big impact, there will be multiple slightly smaller impacts, which produce much more damage.
If you are interested, here is the link for the full report:
ISU - CASSANDRA: a strategy to protect our planet from nea-earth objects
In case you find errors in chapter 4 you can complain with the editor here