astronomylabFor teachers
Student activity · Grades 9–12 · about 15 minutes

Stellar Magnitude Worksheet

Goal: Use the logarithmic magnitude scale to compare how bright stars and other objects look from Earth.

Open the lab at theastronomylab.com/labs/magnitude-comparison/

What to do

  1. Press the “Five magnitudes” preset (Object A magnitude 1, Object B magnitude 6) and record the readouts.
  2. Press “One magnitude” and record the readouts, then press “Equal brightness”.
  3. Model Sirius and Polaris: set Object A magnitude to −1.46 (Sirius) and Object B magnitude to 1.98 (Polaris). Record the readouts.
  4. Swap the values from step 1 (Object A 6, Object B 1) and record the readouts.

Record your results

SettingFlux A / Flux BBrighter object
Five magnitudes (A 1, B 6)
One magnitude (A 1, B 2)
Equal (A 2, B 2)
Sirius vs Polaris (A −1.46, B 1.98)
Swapped (A 6, B 1)

Questions

  1. Which is brighter, a star of magnitude 1 or a star of magnitude 6? By how many times?

  2. How many times brighter is a one-magnitude difference? Show that five such steps make 100.

  3. How many times brighter does Sirius (−1.46) look than Polaris (1.98)?

  4. What happened to the ratio when you swapped the two magnitudes? Explain.

  5. The full Moon has a magnitude of about −12.7, and the faintest stars you can see from a dark site are about magnitude 6. About how many times brighter is the full Moon?

  6. Does a star’s apparent magnitude tell you how much light it actually gives off? Explain.

Free from The Astronomy Lab · theastronomylab.com