LURCH said:
The leader of the international team studying the object has released a statement that they have concluded that the acceleration is a result of outgassing. Given that we know the rate of that acceleration, and the speed/direction of the object as we watched it pass, it sounds like it should be possible to calculate the past trajectory, and possibly determine the system from which it came. However, I have not heard of any guesses. Has anyone else?
I’m sure it would be a fairly monstrous mathematical task, but it seems like such a natural question to ask, that someone must be working on it.
From the Wikipedia article on the Oumuamua:
"Accounting for Vega's
proper motion, it would have taken ʻOumuamua 600,000 years to reach the Solar System from Vega.
[30] But as a nearby star, Vega was not in the same part of the sky at that time.
[41] Astronomers calculate that one hundred years ago the asteroid was 561 ± 0.6 AU (83.9 ± 0.090 billion km; 52.1 ± 0.056 billion mi) from the Sun and traveling at 26.33 km/s with respect to the Sun.
[9] This interstellar speed is very close to the mean motion of material in the Milky Way in the neighborhood of the Sun, also known as the
local standard of rest (LSR), and especially close to the mean motion of a relatively close group of
red dwarf stars. This velocity profile also indicates an
extrasolar origin, but appears to rule out the
closest dozen stars.
[55] In fact, the strong correlation between ʻOumuamua's velocity and the local standard of rest might mean that it has circulated the Milky Way several times and thus may have originated from an entirely different part of the galaxy."
So it doesn't appear to ave originated form any of the nearby stars. All our information on it's trajectory is obtained from its single pass through the Solar system, which puts a limit on to just how accurately we can measure it. The further back or forward we try to extrapolate its path, the greater the uncertainty of its position grows due to these inaccuracies. Compounding this is the fact that the stars themselves have relative motions with respect to the solar system, and there are uncertainties in those relative motions. There just isn't enough information to pin its origin to any given star.