The Orion EQ-1 mount has an optional motorized attachment that will turn the camera/telescope to compensate for the rotation of the Earth. The motor does not track or lock on to anything, it just tries to turn at a constant rate. While this might be good for keeping your target in the field of view longer, it's not very smooth or precise. It's much better than a fixed tripod, however.

Notice the amount of drift in the timelapse video at the end. My alignment was not great, but that should result in a constant drift in a single direction - not the shaking up and down motion we see. It looks like small variations in the motor speed are causing the mount to lag or speed up.

The sequence at the end is 239 frames, each 6 second exposures at ISO 3200, f/5.6, 300mm with Canon T5i on January 2, 2016. If you look closely you can see the small fuzzy comet move slowly to the left relative to the star below it.

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