Aaron8547 said:
From this, I want to extrapolate the statistical probability of one being captured by our solar system, and then from there the probability of it impacting Earth. Has this been done?
I've seen this paper referenced while reading some other papers on arxiv:
Exchange of meteorites (and life?) between stellar systems. Melosh HJ
It's paywalled, and I can't access it, but those other papers referred to capture and impact probabilities in it. Maybe you could ask somebody with a subscription to send you a copy, or email the author for one.
From what I understand the paper is pessimistic (it's discussing viability of lithopanspermia), with low capture probabilities calculated.
The issue here is that you don't want the incoming object to have much velocity w/r to the solar system, as this reduces the chances of a capture in a three-body interaction - the object must be able to bleed enough of its relative velocity so as to go below the escape velocity.
The Sun having large velocity w/r the local standard of rest (assuming cometary material to be at rest w/r to the LSR) makes such a capture unlikely, leading to one-off hyperbolic orbits.
The situation appears to be quite different in clusters of stars, where the low relative velocities and tightly packed neighbourhood allow for much easier transfer.
I don't think I'd agree with rootone's assertion that ejection events are rare. Young systems especially eject material like crazy, with one paper estimating some 10^19 ejection events for >10kg cometary bodies over the lifetime of a cluster (~300 My), and another estimating as much as 90% of Oort cloud material being of extrasolar origin.
There is also a question of what happens to the Oort cloud once a star leaves the main sequence. This paper:
The Great Escape: How Exoplanets and Smaller Bodies Desert Dying Stars Veras et al.
concludes that only a small fraction survives, suggesting a growing population of free-floating interstellar comets and even planet-sized bodies.
Having said that, I don't know of any studies specifically estimating the density of cometary material in interstellar space.