Weird particle behaviour on trails of a fast object

Dear all, I am trying to use a particle system to draw the trail of a spaceship. I am experiencing a strange behaviour, which I believe is due to the fact that the spaceship moves very fast in a big environment: if the spaceship is still, the system behaves correctly, whereas as soon as the ship starts moving no particles can be seen anymore behind it (the trail disappears) and are instead scattered all along the back-to-front axis of the ship, in a neverending line. Can someone help me in correcting this? I am just trying to achieve a very simple trailing effect.

In other words, my problem is basically that the particles do not follow the spaceship.

You could try un-checking Simulate In World Space, located in the particle emitter. This should make the particles follow your spaceship and be created right behind it. You may have to add more force to "push" the particles out further so that it appears to be emitting propellant at the right velocity.

You could also try setting the Emitter velocity scale down to 0. I would try both.