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A standard sized asteroid wouldn't have enough gravity to affect a man or a space ship so it's a moot point really.
Relatively speaking, it wouldn't have gravity as far as you were concerned.
Celestial bodies in KSP are somewhere around 10 times denser than they would be in real life, IIRC. So that means you can have asteroids and such be 10 times denser than they would be in real life, which makes them behave more like a planet while looking more like an asteroid. Even if you had had an incredibly massive asteroid, something truly gargantuan you would only see in a sci-fi film (but still nowhere near Gilly in terms of size), it still wouldn't have enough mass to exert any kind of noticeable gravity on you.
Please correct me if I'm wrong, I haven't played this game in awhile and I've just gotten back into it.
For example, Kerbin is ten times smaller than Earth. It makes the game easier
You are right and wrong.
Kerbin is 10 times smaller than Earth, which is why it's also 10 times denser so that the numbers stay somewhat relevant.
There was a mod called Principia which simulated N-Body interactions between all bodies around Kerbol .. but I wouldn't recommend it for casual gaming, and I'm unsure if it ever supported asteroids.
If I've done my math right, on a circular orbit I believe our ship is traveling at 0.000112 m/s--a little too fine for our KSP speedometer.
Oh, on a related note, here is Scott Manley's video about an astronaut orbiting a space station.
https://youtu.be/Bt54lfOFsDs
It still has gravity, regardless of whether you think it wouldn't affect you or not, it is still there.
Now this gravity is (compared to the bigger bodies in the solar system) relativly unimportant, but at the beginning this gravity made them form up to what are now the bodies of our system.
You do understand the term "relatively speaking" yes?
Of course it still has gravity, but if it doesn't affect you in any meaningful way, it might as well not exist.
Especially in a video game where it would take extra work to implement and extra resources to run.
Relative or not, the person I was replying to said that if it had gravity it could not be an asteroid "by definition", that is false.
So quote him and not me then?