<i>"We need more accurate orbit data for about 10,000 asteroids"</i><br />Our orbital data, including error bars is accurate enough to exclude all known asteroids from an Earth collision in the next hundred years, with the exception of Apophis in 2036. It will pass through a very chaos-inducing area, including a collisional keyhole in 2029. Still, the odds of it impacting in 2036 are in the tens of thousands to one.<br /><br /><i>"A telscope somewhat like Hubble, but in solar orbit would help us improve the accuracy of decades in the future orbital paths."</i><br />Especially if it orbited interior to the Earth's orbit, so it could pick up some of the interior asteroids that are virtually undetectable from Earth. It would be even nicer if we could put it in a retrograde orbit to vastly increase the encounter speeds with asteroids, although the delta v required renders this retrograde orbit a pipe dream.<br /><br /><i>"Perhaps more important we need to learn to do accurate 4 and 5 body orbit calculations."</i><br />We already can. We've landed spacecraft on 2 asteroids, and collided on-target with a comet. The methods used by the space agencies include Newtonian N-body, with pertabutions from HUNDREDS of solar system bodies, GR, SR, galactic tide, and solar radiation.<br /><br /><i>"If nukes were to blast it apart into smaller pieces, then the smaller pieces would have new trajectories, different from that of the asteroid before it was blown apart. "</i><br />Yes. And that is why I feel nuking it would be a viable option.<br /><br /><i>And also, please dont pull that nuke garbage on me...one nuke..if we can find a missle laucher to shoot it, will only create 10000 pieces of rock into the atmophere. </i><br />We wouldn't use a missle launcher. We'd use a rocket capable of interplanetary travel. Read his post more carefully. If the 10000 pieces of rock spread out over millions of kilometers, then they couldn't possibly all hit Earth, as Earth is a target of about 12,000 km