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Unit X · The human eye and the colourful world
6 min readConcept sheetA 2-mark or 3-mark reasoning question; often a 4-mark case-based question

Atmospheric refraction: twinkling stars, early sunrise and delayed sunset

Atmospheric refraction is the bending of light by air layers. It makes stars twinkle and lets us see the Sun about 2 minutes before actual sunrise and after actual sunset.

CauseThe refractive index of air changes with its temperature and density
TwinklingStars twinkle; planets do not
Extra daylightAbout 2 minutes at sunrise and 2 minutes at sunset
Star near the horizonAppears slightly higher than its real position

What atmospheric refraction is

Air is not the same everywhere. Hot air is lighter (less dense) and has a slightly lower refractive index than the cooler air around it. Light passing through layers of air with a changing refractive index bends a little at each layer. This is atmospheric refraction. Because the air keeps moving, the bending keeps changing. Look at things through the hot air above a fire, a tandoor or a hot road: they seem to waver or flicker. This is atmospheric refraction on a small scale.

Effects of atmospheric refraction

EffectWhat you seeWhy it happens
Twinkling of starsA star seems to flicker, brighter one moment and fainter the nextStars are so far away that they act as point sources of light. Moving air keeps changing the path of their light, so the amount reaching the eye keeps changing
Planets do not twinklePlanets shine steadilyPlanets are much closer, so they look like extended sources (many points together). The changes from all the points average out to zero
Stars appear higherA star near the horizon looks a little higher than it really isThe atmosphere bends starlight towards the normal as it comes down into denser air
Early sunrise and delayed sunsetWe see the Sun about 2 minutes before it actually crosses the horizon, and about 2 minutes after it actually setsThe atmosphere bends sunlight from the Sun below the horizon towards us, so the Sun appears above the horizon

How to draw: early sunrise

  1. 1
    Draw a large arc for the surface of the Earth. Mark the observer O on it.
  2. 2
    Draw a straight line touching the Earth at O. Label it horizon.
  3. 3
    Draw a wider arc above the Earth for the edge of the atmosphere.
  4. 4
    Draw the actual Sun just below the horizon line.
  5. 5
    Draw a ray from the Sun that enters the atmosphere and curves gently down to O.
  6. 6
    Extend the last part of this ray backwards as a dotted line, up above the horizon. Draw the apparent Sun there and label it.

How to draw: the apparent position of a star

  1. 1
    Draw a line or a gentle arc for the Earth's surface, with an observer on it.
  2. 2
    Draw a few curved layers above it for the atmosphere. Write refractive index increases with an arrow pointing down towards the ground.
  3. 3
    Draw the real star high up on one side. Draw its ray bending slightly at each layer as it comes down to the observer.
  4. 4
    Extend the last part of the ray backwards as a dotted line. Mark the apparent star on it, a little higher than the real star.
In real life

On a clear night away from city lights, the stars twinkle, but a bright planet such as Venus or Jupiter shines steadily. The few extra minutes of daylight at dawn and dusk come from the same bending of sunlight by air.

Exam angle

1 marks: “By about how many minutes does atmospheric refraction lengthen the day?” About 4 minutes: about 2 minutes at sunrise and 2 at sunset.

2 marks: “Why do stars twinkle but planets do not?” Stars are point sources, so changing atmospheric refraction makes their light flicker. Planets are extended sources, so the changes from their many points average out.

3 marks: “Explain, with a diagram, why the Sun is visible about 2 minutes before actual sunrise.” Atmospheric refraction bends light from the Sun below the horizon towards the observer, so the Sun appears above the horizon. Diagram: Earth, horizon, atmosphere, curved ray, actual Sun below and apparent Sun above the horizon.

Remember it

Stars are small points, so they shiver (twinkle). Planets are patches of light, so they stay put.