For perspective, Voyager 1 has been hurtling through space since 1977 and has travelled a measly .002324439 lightyears.
The Universe is mind bogglingly big.
One big problem (besides getting out there - hehe) is that you are looking in one very particular direction and need to move big distances (at a distance of ~500 au from the sun) to look elsewhere. I guess you could wait until the planet you are aiming at does another orbit around its star and flies through your point of focus again.
PS Voyager launched in 1971 and is now at 158 au! These distances are truly vast. 1 light year is 63241 au.
There's a wikipedia page for the concept at
This video on gravitational lensing blew my mind https://youtu.be/NQFqDKRAROI
What do you think the odds are of if it being done IRL?
Basically, the way scientists used a solar eclipse to confirm the theory of relativity and gravitational lensing of stars ‘behind’ the sun to in front of it. Or like the way certain objects were lensed in the massive JWST shot that came out a couple months ago.
But beyond that I know nothing
Lorentz factor γ = 1 / sqrt(1 - (v/c)²) = 1/sqrt(1 - 0.9²) = 2.29
To travel 87,400 light years at near light speed, in a subjective time of a month requires a dilation of 87400 years * 12 months / year = 1048800, with a speed of: (1-(1/1048800)²) c = 0.9999999999990908 c
which is about 0.27 mm/s slower than the speed of light.For comparison, the protons at CERN only hit 0.999999991 c (https://public-archive.web.cern.ch/en/LHC/Facts-en.html) and the electrons at SLAC only hit 0.99999999995 c (https://www.slac.stanford.edu/pubs/slacpubs/5500/slac-pub-56...).
https://nssdc.gsfc.nasa.gov/planetary/titan/huygens_titan_06...
The lake is not liquid water, rather liquid hydrocarbons! That image was captured from the Huygens lander, you can see more images here:
About 500 AU but it’s a design decision.