Modeling at astronomical scales?

I'm experimenting with animations.  I work in aerospace design, so my animations are of spacecraft in situ.  Problem is, part models can't be over 1km diameter, but I'm trying to show a model of the earth in the background approximately to scale, and worse, to wrap a star field around the model as well.  Obviously 1km does not cover this.  Theoretically I could scale everything down, but my spacecraft are modeled 1:1, and lots of reasons to leave them that way.

Is there a way to increase the allowable model geometric size?

I read in another thread that sw11 has ability to do larger scale.  How much larger?

Any other advice?

Pic just for fun.  Scale is way low on this earth model.  And the background is just a background, doesn't rotate around with the rest of the model, which is why I want to model a backdrop, so the stars will move with the camera.

SolidworksGeneral