How Would You Change Sky Sphere From Earth to Space?

I have a rocket game, that is a vertical scroller in 3d.

I know how to change earth sky sphere from day to night, showing stars. But I am not sure how one would go about making the sphere to be like space. Moving the fog line lower and showing only the stars?

Would you use two different Sky Spheres, one for earth the other for space?
Or would you lower the entire Sky Sphere somehow showing only the stars part?

Any suggestions would be appreciated, thank you.