tanstaafl76":e0briihz said:
Why is it that there is such an uncertainty factor in predicting the course of these objects? We can send space probes all over our solar system to perfectly rendezvous with various planets, comets, and asteroids, but when examining a giant asteroid headed at us it is still a matter of probability as to whether it will hit us? Is it because the mass of the object is unknown? Couldn't we get a good estimate of its mass based upon its past trajectory through the solar system?
It's not the mass, but for most, it's the uncertainty in the orbit. An orbit is detemined by making repeated measurements of it's position against the background stars. Every measurement has some uncertainty, so rather than a series of points across the sky, instead you have a series of small cirles against the background. Many possible orbits can pass through all those circles. So there are many possible orbits, and for objects on the risk pages, some of those orbits (not very many, but some) can intersect earth. The longer you observe an orbit (the "arc" or how many days) the more circles you have, and the fewer, and more closely grouped orbits that can fit the observations. So the possible orbits become more refined, and fewer (or none) can intersect earth.
For a spacecraft, we not only have the positions, but we have constant radio contact with the craft. That gives us precise (VERY precise) measurements of it's velocity, as well as it's position. SO there is only a very narrow band of possible paths. As the mission evolves, little tweaks are done to ensure that the possible paths are aiming where we want it to.
For a well studied object like Apophis, some other effects come into play. We actually have a few (7, compared to 1399 position) precise doppler (velocity) measurements, so it's orbit is very well known compared to most. But there is still some uncertainty, and due to the close approach to earth in 2029, even a few meters of difference in the exact path will have a much larger change in the orbit that will result afterward. In addition, there are some other subtle effects, such as solar wind, the YORK effect , the Yarkovsky effect, etc. Basically the last two have to do with how radiation from the sun is absorbed and reradiated from the surface, which depends on how the surface absorbs and reradiated the energy, how fast the object is spinning, what axis it is rotating on, it's exact shape, and in that case, the mass does make a difference. Apophis is the most analyzed asteroid in history, but all these affects could add up to change it's path by a few meters, or a few millimeters per second in velocity, which will have huge affects after the 2029 close approach.
We will get a repeat of such radar measurements in 2013 which will refine the orbit even more, but those other subtle effects will remain.