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How to Calculate Stellar Parallax

What is Stellar Parallax?

Parallax measures nearby star distance by observing angular shift as Earth orbits Sun. 1 arcsecond parallax = 1 parsec distance.

Formula

Calculate distance: d (pc) = 1 / parallax (arcsec)

Step-by-Step Guide

  1. 1Measure apparent position change (arcseconds) from opposite Earth orbits
  2. 2Calculate distance: d (pc) = 1 / parallax (arcsec)
  3. 3Verify with other methods

Worked Examples

Input
Parallax = 0.1 arcsec (Proxima Centauri)
Result
d = 10 pc ≈ 3.26 light-years
Nearest star

Common Mistakes to Avoid

  • Confusing parsec with light-year
  • Over-interpreting parallax errors for distant objects

Frequently Asked Questions

Why is parallax hard to measure?

Shift is tiny even for nearby stars; requires precision astrometry.

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