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5.2.4Astrophysics

The Brightness of Stars

5 min read 5 parts Lesson 9 of 13 Unit quiz

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Section 1 of 5Luminosity

5.2.4 The Brightness of Stars

Luminosity is a property of the star itself and does not depend on where the observer is.

Definition
  • Luminosity is the total amount of light energy a star emits each second, so it measures the power output of the star.
Dependence
  • A larger and hotter star radiates more energy each second, so it has a higher luminosity than a smaller, cooler one.
Solar units
  • Luminosities are often quoted relative to the Sun, so a star of luminosity 100 radiates one hundred times the Sun's power.
Not what we see
  • Two stars with the same luminosity can look very different in the sky if they are at different distances from Earth.

Section 2 of 5Apparent Magnitude

Apparent magnitude describes how bright a star looks from Earth.

Apparent Magnitude
Definition
  • Apparent magnitude is the brightness of a star as it appears to an observer on Earth.
Two factors
  • It depends on the luminosity of the star and on how far away the star is from the observer.
Backwards scale
  • The scale runs the opposite way to what is expected: the brighter the star, the lower its apparent magnitude number.
Limitation
  • Apparent magnitude alone cannot show how powerful a star really is, because a dim nearby star may look as bright as a distant powerful one.

Section 3 of 5Absolute Magnitude

To compare stars fairly, astronomers imagine them all at the same distance.

Definition
  • Absolute magnitude is how bright a star would appear if it were placed at a standard distance from Earth.
Standard distance
  • The standard distance is 10 parsecs, which is about 32.6 light-years.
Purpose
  • Removing the effect of distance means differences in absolute magnitude show real differences in luminosity.
Same scale direction
  • A lower absolute magnitude means a more luminous star, in the same way that a lower apparent magnitude means a brighter-looking star.
QuantityDepends onUse
LuminosityStar onlyTrue power output
Apparent magnitudeLuminosity and distanceHow bright it looks from Earth
Absolute magnitudeLuminosity onlyFair comparison of stars

Section 4 of 5Using the Ideas

1
Observe a star and record its apparent magnitude, which is how bright it appears from Earth.
2
Work out how far away the star is, because distance changes the apparent brightness.
3
Calculate what the brightness would be at the standard distance to find the absolute magnitude.
4
Compare absolute magnitudes of different stars to decide which has the greater luminosity.

Section 5 of 5Exam Checklist & Tips

5.2.4 – Key Points for the Exam

  • Luminosity The total light energy emitted by a star per second.
  • Apparent magnitude The brightness of a star as seen from Earth.
  • Absolute magnitude The brightness a star would have at the standard distance of 10 parsecs.
  • Light-year The distance light travels in one year.
  • Parsec
    • A unit of distance used in astronomy;
      • 10 parsecs is about 32.6 light-years.

Common Mistakes

  • Assuming the star that looks brightest in the sky must be the most luminous, ignoring distance.
  • Thinking a larger magnitude number means a brighter star; the scale is reversed.
  • Confusing luminosity, which is an energy output, with apparent magnitude, which is an observation.
  • Forgetting that absolute magnitude uses a fixed standard distance for every star.
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