Heya,
So, that's not just one program doing that. They used a wide fast lens and a motorized track that moved the setup forward very slowly and took photos over the course of hours for each shot. That is several days worth, and thousands of photos. The star trails took the most processing and they probably simply spent more time in post stacking those last frames to keep luminosity of the previous frame so that it would stack and show trails. This is days of work, in processing and days of work in capturing. I'm just guessing. They claim they used LRtimelapse for some of the processing but definitely not all.
Here's a quick tutorial from start to finish on how to do star trails for basic still images:
http://petapixel.com …ils-from-start-to-finish/
To make it a time lapse, of course, takes more work and more processing. Beyond me I'm afraid. Hopefully someone else can point you to a good resource on how to take star trails to time lapse.
Very best,