Adding on to the other comment: the specific method I linked is a little crude, and intended to separate perfectly-still objects from all moving objects.
You can fine tune this technique to specifically capture or reject objects moving at certain rates. You could tune it to capture the slow rotation of the stars as the planet turns,for example, while rejecting the movement of the satellites.
Another example: The criss-crossing satellites are at different altitudes and travel at different speeds. You could fine tune this technique to selectively gate either set of satellites while rejecting the other set.
The point is that even though astrophotography is certainly degraded by these satellites, the degradation is not nearly as significant as this particular image would suggest. This image was synthesized by specifically targeting these satellites for inclusion, rather than exclusion.