What foundational measurement is required for calculating distances using trigonometric parallax for nearby stars?
Answer
The diameter of Earth's orbit (twice the AU)
Trigonometric parallax relies fundamentally on geometry established by Earth's motion around the Sun. The baseline for this measurement is the distance between the two points of observation, taken six months apart, which corresponds exactly to the diameter of Earth's orbit. Since the Astronomical Unit (AU) defines the mean Earth-Sun distance (the radius), the baseline used in parallax calculations is twice the value of one AU. This reliance makes the AU the foundational yardstick for calibrating this primary technique used to determine the distances to relatively nearby stars.

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