Spacedust - Change specific particles

I am working on a little space simulator in my spare time. To solve the floating point imprecision problem, I always move everything, but the player. I now want a spacedust particle system, to give the player the feeling that he is actually moving. But this Shuriken Particle System drives me crazy. I create a random portion of Spacedust in front of the player with:

         void CreateDust()
         {
             points = new ParticleSystem.Particle[density];
             for (int i = 0; i < density; i++)
             {
                 points[i].position = Random.insideUnitSphere * distance;
                 points[i].color = Color.white;
                 points[i].size = size;
             }
         }

And then I want to set the particles velocity to match the velocity of my spaceship. But that doesn't seem to be possible. I tried millions of things, but I couldn't figure out how to manipulate single particles. Is that even possible? What else could I try to achieve what I want to get?