The Website of Walter

Distance of Stars


1. Trigonometric parallaxes



2. Parallax decreases with distance



3. Parallax formula


d=1/p


  • p = parallax angle in arcseconds
  • d = distance in "Parsecs"

  • 3.1.Parallax Second = Parsec (pc)


    A star with a parallax of 1 arcsecond has a distance of 1 Parsec.


    1 parsec (pc) is equivalent to:


  • 206,265 AU
  • 3.26 Light Years
  • 3.086x1013km

  • 4. Light year


    1 Light Year is the distance traveled by light in one year.


    1 light year (ly) is equivalent to:


  • 0.31 pc
  • 63,270 AU

  • 5. Hipparcos



    The Hipparcos satellite (launched by the European Space Agency in 1989) measured precision parallaxes to an accuracy of about 0.001-arcsec.


  • Hipparcos measured parallaxes for about 100,000 stars
  • Got 10% accuracy distances out to about 100 pc
  • Good distances for bright stars out to 1000 pc.

  • 6. Gaia


    Gaia is a European follow-up mission to Hipparcos that was launched on 19 December 2013, reaching its orbital station at the Earth/Sun L2 point in January 2014, and began science operations in July 2014. Its goal is to conduct what amounts to a Galactic census. Gaia is undertaking an all-sky survey of the Galaxy that build up high-precision angular measurements through repeated measurements. The final Gaia data catalog will not be completed until about 2020.


    Mission Goals:


  • Measure positions and motions for about 1 Billion Stars
  • Measure parallaxes for >200 Million Stars
  • Max precision of 10 microarcseconds
  • This means 10% or better distances out to 10,000pc