What's up with the gravity on board of Bebop? This is the final scene of the first episode of Cowboy Bebop. Right before this gif starts, Spike was gazing into space from the window.



The following events depicted in this gif are contradicting:


First, Jet rather slowly floats down from the ladder to stand on the floor steadily. It's because they are in space that he was floating, but his approaching footsteps can be heard, which means he's wearing some magnetic boots which let him stick to the floor.
Jet is holding a cigarette, from which the smoke goes off vertically upwards, away from the floor (like it would on Earth).
Jet has a pair of sunglasses hanging downwards from his apron. So there's either artificial gravity on the ship, or the glasses are being held really tight in this position.
Jet then throws the cigarette to Spike, and it floats in the air like it would in space, smoke still going towards the ceiling. Maybe the ventilation is designed so that the air flows from the floor towards ceiling.
Spike then catches the cigarette and its smoke continues going upwards, whilst the smoke cloud that Spike exhales just floats onwards without changing its general direction This means it's not the ventilation that makes smoke go where it goes.


This is really confusing. I get that such stuff can be easily overlooked in anime, but the cigarette was clearly floating just now, flying in a straight line, so I'm not buying all of it. What is known about the gravity on Bebop?
The Bebop uses centrifugal force to generate "gravity". It has a rotating cylinder which is where the crew spend much of their time when in space. It is shown from both inside the ship and outside the ship, and in a few episodes, it is shown that when the cylinder stops spinning, the people inside that portion of the ship suddenly start to float.

Presumably, there would be no apparent gravity in the portions of the ship which do not rotate when the ship is not thrusting. When the ship is thrusting (accelerating), then the entire ship would experience a force similar to gravity along the axis of thrust.