Camera systems like these use computerized tracking to account for the rotation of the earth. The earth rotates really fast! The earth is also orbiting the sun

Camera systems like these use computerized tracking to account for the rotation of the earth. The earth rotates really fast! The earth is also orbiting the sun pretty fast, but it's my understanding (I'm not an expert) that you don't need to account for error here, since the Orion nebula is so far away. Think about how the sun stays in the same place in the sky even as you're driving fast on the highway. The nebula is unimaginably far away compared to the sun, and relative movement between the earth, the solar system, and Orion are all undetectable at these scales. I've read that even the Hubble telescope doesn't need to account for parallax error for such far-away objects during long exposures, which can last up to 20 minutes. Maybe someone here on HN can do (or point to) the math for us.