☰ Contents · Astronomy

Star colour and absolute magnitude

Lessons 48–49 · 2 lessons · M. Mamadazimov. Astronomy Grade 11, 1st edition. DAVR NASHRIYOTI, Tashkent, 2018
48

The colour and temperature of stars

Textbook: p. 105
GoalExplain the link between a star’s colour and surface temperature, the idea of colour index, and apply Wien’s law.
New words
colour index · rang ko‘rsatkichieffective temperature · effektiv temperaturablue star · ko‘k yulduzred star · qizil yulduz
Explanation

A star’s colour depends on its surface temperature: by Wien’s law a hotter star radiates most strongly at shorter wavelengths. Very hot stars (> 10,000 K, for example Rigel ≈ 12,000 K, Sirius ≈ 9900 K) look blue-white, the Sun (≈ 5800 K) yellowish, and cool stars (≈ 3000–4000 K, Betelgeuse ≈ 3600 K, Antares ≈ 3500 K) red-orange. Colour is given quantitatively by the colour index B – V: the difference between a star’s magnitudes through a blue (B) and a yellow-green (V) filter; it is negative (≈ –0.3) for hot stars, ≈ 0.65 for the Sun and ≈ +1.5 or more for cool red stars. The surface temperature found from the spectrum is called the effective temperature – the temperature of a black body radiating the same energy per unit area. Colour does not depend on a star’s distance, which makes it a useful measure.

Worked examples
Wien’s law: for T = 7250 K, λ_max = 2,900,000 : 7250 = 400 nm (the violet edge), its light covers the whole visible range and the star looks white.
For T = 3625 K, λ_max = 2,900,000 : 3625 = 800 nm – near the infrared, so the star looks reddish.
Class activity

A safe model: look at a lamp (or LED) through red, yellow and blue transparent paper, compare with star colours and discuss which colour matches which temperature (red – cool star, blue-white – hot). Do not touch fire or hot appliances.

Practice
1
Which star is hotter: blue-white Rigel or red Betelgeuse?
2
For T = 5800 K how many nm is λ_max = 2,900,000 : 5800?
3
If the colour index B – V is negative, what kind of star is it?
4
Why does a star’s colour not depend on distance?