Cymek said:
How would we navigate to another star accurately so we actually arrive at the destination and not miss the target entirely.
Could we anticipate the stars position thousands of years into the future and make sure our spacecraft is on the correct course. The distance to most stars has a fairly high margin of error how would we correct for this error on route.
Satellites can navigate in several ways, but one of the easiest is to sight on stars and fix orientation and direction using what is called a star tracker. The simplest star tracker is just four pixels. If the light from star falls to one side or the other, brighter on one pixel or the opposite, adjust the spacecraft track a bit to bring it back on line. This is not much different to, and slightly easier than, the task New Horizons had in steering a precise track past Pluto.
The simplest navigation approach is to head towards the star until you almost hit it, and then veer aside when sensors indicate that it is coming up fast, first by increase in brightness and second by increase in angular diameter.
Star positions are known in an angular sense from Earth extremely precisely. The speed of the star towards us and laterally is known with less precision, but accurate enough. Let’s take Proxima Centauri for example. We know its distance within 0.14%. We know its speed toward us to within 2.3%. We know its lateral speed within 0.27%. That’s accurate enough as there is plenty of time to make adjustments during the trip.
For further stars, distances and motions become less accurate, but that’s what the GAIA spacecraft is for. With a bit of luck it will improve the accuracy of distances and lateral velocities (proper motions) by a factor of ten.