How can people travel to a 10,000 light years distant star, when...?

It would take us 10 000 years to get there anyway even if we were travelling at the speed of light so we'd most likely go to somewhere that's around 20 ly away before that. And anyway, we are thousands of years away from the technology so we won't know whether we get there or not anyway.

Much more importantly is that we don't know if there is a habitable planet there. Sort of a ginormous waste of time to travel a thousand years to a place with a 200F mean temperature.

A reasonable trajectory to a known distant star could be calculated. But you would need a spacecraft big enough to accommodate several males and several females for reproductive purposes to ensure that there would be humans alive in that craft when it arrived at that distant star more than 10,000 years in the future.

You would need a biosphere within the space craft to grow food during that time.

And you would need to carry lots of fuel, even after lots of well-calculated "slingshots".

10,000 years is more than the time since the first cities were made by humans. 16,000 years ago the first humans entered the Americas.

We will take a short cut literally. Suppose we find a wrinkle in space time or even a tunnel. Then we maybe be able to take a short cut.

Well... not exactly true... When Apollo left for the moon and performed the TLI - they were aiming at where the moon was *going to be* in 4 days. They knew the speed and trajectory of the moon - and used that in basing their course.

Same thing with a star... you probably wouldn't want to start out on the journey to Betelgeuse if it was going to take a million years - it may not be there when you arrived... but, most smaller stars - the types that would be more likely to have habitable planets - would tend to have much, much longer lives than a huge star like Betelgeuse - and likely *would* be there when astronauts arrived...

Of course, that's assuming we could travel 10,000 light years in a reasonable amount of time....

Well, if you travel NEAR light speed, it would only be a few months or a couple of years ship time, but 10,000 years would have passed on Earth. One's home civilization would not likely exist by then.

I don't think whether or not the star will still be there when we get there is the biggest problem to be faced by such a journey .

To clear up a few of your misconceptions about space, 10,000 years is a very short timespan in terms of a star's existence. It will not move or change very much in that time, no more than you move or change very much in the proverbial blink of an eye. Also, space is pretty much as it sounds: mostly empty space. You're not likely to run into anything larger than a few atoms across going 10,000 light years through space. You could potentially run into a comet or other large object, but the odds of it are, no pun intended, astronomically small.

they using Parallax to calculate it. but i'm pretty sure their calculation always get huge margin errors. even though their measurements has 0.0001 percent margin errors, but we must considering that we are talking about great distance.

so even though it has very low margin errors in percent, it's still huge numbers in precision for the distance such lightyears.

we just dreaming, even our moon never can be reached easily :(

Stars can be observed to move at a particular velocity in a particular direction, so the location of that star in 10 000 years time can be known. The evolution of stars is also well-known and analysis of their spectra reveals where they are in their life cycle.

Everything observable is based on approximation and probability.