☰ Contents · Astronomy

Astronomical units and Kepler’s laws

Lessons 24–25 · 2 lessons · M. Mamadazimov. Astronomy Grade 11, 1st edition. DAVR NASHRIYOTI, Tashkent, 2018
24

Units of length in astronomy

Textbook: p. 41
GoalKnow how the astronomical unit, light-year and parsec are related and convert distances between them.
New words
light-year · yorug‘lik yiliparsec · parsekkiloparsec · kiloparsekmegaparsec · megaparsek
Explanation

Inside the Solar System distances are measured in astronomical units (1 AU ≈ 149.6 million km), but between stars larger units are needed. A light-year is the distance light travels in a year: 1 light-year ≈ 9.46 · 10¹² km ≈ 63,240 AU. A parsec (pc) is the distance to a star whose annual parallax is 1″: 1 pc ≈ 206,265 AU ≈ 3.26 light-years ≈ 3.09 · 10¹³ km. On the scale of the Galaxy the kiloparsec (1 kpc = 1000 pc) is used, and for the Universe the megaparsec (1 Mpc = 10⁶ pc). For example, the nearest star to the Sun, Proxima Centauri, is ≈ 4.24 light-years (≈ 1.3 pc) away; the Milky Way is ≈ 100,000 light-years across (≈ 30 kpc); the Andromeda galaxy is ≈ 2.5 million light-years (≈ 0.78 Mpc) away. “X light-years away” means the light takes X years to reach us, so we see the object as it was X years ago.

Worked examples
A light-year: 300,000 km/s · 365 · 24 · 3600 s = 9,460,800,000,000 km ≈ 9.46 · 10¹² km.
A distance of 100 pc equals 100 · 3.26 = 326 light-years; the light we receive from it left 326 years ago.
Class activity

A simplified model: take 1 light-year = 1 m and mark along the classroom wall the nearest star (≈ 4.2 m) and Sirius (≈ 8.6 m) using a tape measure (nothing sharp).

Practice
1
Is the light-year a unit of time or of distance?
2
At 300,000 km/s, how many km does light travel in 1 hour?
3
Sirius is 2.7 pc away. About how many light-years is that (1 pc ≈ 3.26)? Give one decimal.
4
Why is looking at a distant galaxy like looking into the past?