How do ballistic trajectories work in a rotating cylinder world?

For the sake of fixing some image in your mind, imagine you want to practice some sport in a rotating cylinder world: whether it be launching a javelin, strike a tee at the golf club or scoring a 3 points shot on the ball field, some sort of ballistic trajectory will be involved in most of the cases.

On Earth we know that, if we neglect the interaction of the object with the air and we are below escape velocity, the trajectory will be an elliptic arc. In a rotating cylinder world I think the apparent gravitation field would be different than on Earth, I even doubt it could be even called a "field".

How would that work on a rotating cylinder world?

What are the ballistic trajectories in a ring world?

For the sake of helping the calculation, if needed, assume

• a cylindrical world, with 1 km radius, rotating at 0.95 rotation/minute.
• neglect drag and aerodynamic effects (Coanda effect, lift, etc.), thus assume the launch is happening in a vacuum
• arbitrary direction and velocity of launch
  • neglect the real gravity due to the cylinder mass

Alongside with the mathematical relationships, I would also appreciate a graphical comparison with respect to the Earth case.

posted almost 5 years ago

L.Dutch - Reinstate Monica‭

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