Astronomy 2e · The Sun: A Garden-Variety Star

The Solar Cycle

8 min read
Cycle statistics (11-yr average, Zeeman field strengths, sunspot temperatures, Maunder minimum dates) are commonly taught reference figures; verify against current NOAA Space Weather Prediction Center data before high-stakes use.
Want it in plain words first? Jump to Eli explains — the same idea, no jargon.
On this page 9 sections
  1. In 30 seconds
  2. Why this matters
  3. The college version
  4. Eli explains
  5. Worked example
  6. Key takeaway
  7. Check yourself
  8. Study tools
  9. Sources & references

In 30 seconds

Look at the Sun through a safely filtered telescope and you will usually see a few dark blemishes: sunspots. Count them over the years, and a pattern emerges — the number rises and falls in a roughly 11-year cycle (actually varying from about 9 to 14 years). At solar maximum, dozens of spots cover the disk; at solar minimum, months can pass with none.

Sunspots are not blemishes on a smooth surface; they are anchors of intense magnetic fields poking through the photosphere. The magnetic field is the whole story: spots come in pairs of opposite polarity, the field flips its global orientation every cycle (full magnetic period 22 years), and spots march from mid-latitudes toward the equator as each cycle ages — the . The cycle also varies across centuries: during the (roughly 1645–1715) sunspots nearly vanished.

This topic explains what sunspots are, how their magnetism is measured, and how the ties differential rotation and convection into a magnetic dynamo.

Why this matters

The solar cycle is the Sun's heartbeat — its strength controls how much solar activity reaches Earth, so space-weather forecasters (Topic 4) track it to predict flares, CMEs, and their effects on satellites, GPS, and power grids. The cycle also lets astronomers test dynamo theory — how rotating, convecting plasma generates magnetic fields — on the one star we can watch in detail. The Maunder minimum's rough coincidence with the "Little Ice Age" keeps the cycle a live climate-research question (correlation is real; causation is debated). For exams, the 11-year period, butterfly diagram, polarity flip, and are classic items.

The college version

Core Concepts

Sunspots: anatomy of a magnetic plug

A looks dark because it is cooler than its surroundings: roughly 3,800 K (commonly cited) against the photosphere's ~5,800 K — still hot enough to glow, but far less bright, so it looks black by contrast. Each spot has:

  • Umbra: the dark center; penumbra: the lighter, striated fringe.
  • Spots usually appear in pairs of opposite polarity, like the two ends of a bar magnet through the surface.

The fields are enormous: 1,000–4,000 gauss (commonly cited), vs. Earth's ~half gauss.

Counting spots: the 11-year cycle and the butterfly diagram

The standard measure is the sunspot number — a weighted count of individual spots and spot groups. Plotted over time it traces a cycle: a rapid rise to solar maximum, a slower decline to solar minimum, then repeat, averaging ~11 years (range ~9–14).

In 1904, E. W. Maunder showed that plotting spots by latitude and time forms a butterfly diagram: spots appear at mid-latitudes (~30–35°) early in a cycle and migrate toward the equator as it ages.

The 22-year magnetic (Hale) cycle

Sunspots are magnetic, so polarity matters: in a given cycle, leading spots in the north have one polarity and leading spots in the south the opposite; at the next cycle the polarities flip. Because the field needs two 11-year cycles to return to its original configuration, the full magnetic cycle is ~22 years (the ), and the Sun's dipole field reverses near each maximum.

Measuring magnetism: the Zeeman effect

How do we know the fields are thousands of gauss? In 1896 Pieter Zeeman showed that a magnetic field splits spectral lines into multiple components — the Zeeman effect. Sunspot spectra show exactly this splitting, and its size measures the field strength. Zeeman measurements are the direct evidence behind everything else in this topic.

The Babcock model: a magnetic dynamo

The leading explanation (H. W. Babcock, 1961) chains the observations together:

  1. Differential rotation (equator ~25 days, poles ~35 days) drags the poloidal (north–south) field lines around the equator faster than the poles, wrapping them into a toroidal (east–west) field — like winding a rubber band.
  2. Over several rotations the wrapped field becomes tangled and buoyant; loops ("flux tubes") rise to the surface.
  3. Where a loop breaks through the photosphere, it makes a sunspot pair — one foot of the loop, one polarity; the other foot, the opposite. Pair orientation encodes the wrapped field's direction.
  4. As activity peaks, loops reconnect, polarities reverse, and the cycle starts over — convection supplies the energy and turbulence that sustain the dynamo.

The model explains the 11-year rhythm, butterfly migration, and 22-year polarity flip, though the real dynamo is messier — helioseismology (Chapter 16) points to a tachocline at the base of the convective zone where much of the field is generated.

Cycles within cycles: the Maunder minimum and variability

The cycle is not a metronome. Between about 1645 and 1715 — the Maunder minimum — sunspots almost completely disappeared. The coincidence with the coldest part of the "Little Ice Age" is documented, but whether reduced solar output caused the cooling is still debated. Other grand minima (e.g., the Dalton minimum ~1790–1830) and the weak Cycle 24 (peak ~2014) show the dynamo varies on many timescales.

Common Confusions

Do not confuseWithDifference
Sunspots are holes or missing gasCooler, darker regionsStill glowing gas at ~3,800 K — dark only by contrast
The cycle is exactly 11 yearsAn average of ~11 yearsReal cycles range from ~9 to 14 years
Sunspots cause the cycleThe magnetic dynamo causes bothSpots are a symptom, not the cause
11-year cycle = full magnetic cycleThe 22-year Hale cyclePolarity flips every 11 years, so the field repeats only every 22
Sunspot number = number of spotsWeighted Wolf numberGroups are weighted to smooth the count
The Maunder minimum caused the Little Ice AgeThey coincideCorrelation is documented; causation and magnitude are debated
Sunspots are permanently fixed featuresThey drift and evolveSpots last days to weeks; their latitudes migrate over the cycle
Eli, the EliExplains learning guide

Eli explains

The same idea, in plain words

Explain it like I’m 10

Sunspots are like the Sun's freckles — dark patches where its magnetic field pokes through. They come and go: lots of freckles for a few years, then almost none, over and over about every 11 years — the Sun's own weather seasons, driven by a giant invisible magnet inside it.

Worked example

Suppose you are handed daily sunspot drawings for a year and asked where the Sun is in its cycle:

  1. Count. Compute the sunspot number for each month. It is high and still climbing.
  2. Plot latitudes. Spot groups cluster around 15–25° and drift equatorward.
  3. Check polarity. In the north, leading spots have positive polarity; in the south, negative — the new cycle's orientation.
  4. Conclude. Rising numbers + equatorward drift + fresh polarity = the Sun is climbing toward the next maximum — a forecast of more flares and CMEs, and a heads-up for satellite operators and grid managers (Topic 4).

Rubber-band analogy. Wrap a rubber band around a ball while turning only its equator: it twists tighter until kinks pop out. Differential rotation does the same to the Sun's magnetic field — the kinks that pop through the surface are sunspots.

Key takeaways

  • Sunspot cycle: ~11 years average (varies ~9–14 yr); full magnetic (Hale) cycle ~22 years.
  • Sunspots are cooler (~3,800 K vs 5,800 K) and strongly magnetic (1,000–4,000 G; measured by the Zeeman effect).
  • Butterfly diagram: spots start at mid-latitudes (~30–35°) and migrate toward the equator as the cycle progresses.
  • Sunspot polarity flips every cycle — leading/trailing spots swap orientation; global dipole reverses near maximum.
  • Babcock model: differential rotation wraps the field → buoyant loops rise → sunspot pairs → reconnection resets polarity.
  • Maunder minimum (1645–1715): few sunspots; coincides with the Little Ice Age (causation debated).
  • Sunspot number = weighted count (Wolf number), not raw spot count.
  • Space weather intensity tracks the cycle: more spots → more flares and CMEs (Topics 3–4).

Check yourself

6 review questions from the chapter. Try each one, then open the answer.

  1. What is the average period of the sunspot cycle, and how much can it vary?

    Show answer

    About 11 years on average, ranging roughly 9–14 years; the full magnetic cycle is ~22 years.

  2. Why do sunspots look dark if they are still glowing gas at thousands of kelvin?

    Show answer

    They are cooler than the surrounding photosphere (~3,800 K vs ~5,800 K) and therefore emit much less light per unit area — black by contrast, not truly black.

  3. What does the butterfly diagram show, and who first plotted it?

    Show answer

    It shows sunspot latitudes over time: spots appear at mid-latitudes (~30–35°) early in a cycle and migrate toward the equator as the cycle ages; first plotted by E. W. Maunder in 1904.

  4. What is the Hale cycle, and why is it 22 years rather than 11?

    Show answer

    The Hale cycle is the ~22-year magnetic cycle: sunspot pair polarities flip every 11-year cycle, so the global field returns to its original configuration only after two cycles.

  5. How does the Zeeman effect let astronomers measure sunspot magnetic fields?

    Show answer

    A magnetic field splits spectral lines into multiple components; the size of the splitting in sunspot spectra measures the field strength (1,000–4,000 G).

  6. Summarize the Babcock model in three steps.

    Show answer

    (1) Differential rotation wraps the poloidal field into a toroidal field; (2) twisted, buoyant loops rise to the surface and emerge as sunspot pairs; (3) near maximum, loops reconnect and the field's polarity reverses, starting the next cycle.

Keep learning

Ready to build on this? Continue to the next lesson.

Study tools & related lessonsKey vocabulary · Related

Key vocabulary

Sunspot
A dark, cooler, strongly magnetic patch on the photosphere
Umbra / penumbra
Dark center / lighter striated fringe of a sunspot
Sunspot number (Wolf number)
Weighted count of spots and spot groups
Solar maximum / minimum
Peak / trough of the ~11-year activity cycle
Butterfly diagram
Plot of spots migrating from mid-latitudes to the equator
Hale cycle
The ~22-year full magnetic cycle (two 11-yr cycles)
Zeeman effect
Splitting of spectral lines in a magnetic field
Flux tube
A bundle of magnetic field lines; a sunspot pair is a loop's two feet
Babcock model
Differential rotation + convection = magnetic dynamo
Maunder minimum
~1645–1715 period with almost no sunspots

Sources & references

  1. openstax.org — Astronomy 2e

This lesson was adapted from the open educational references above; their licenses and attributions are preserved. See Copyright & Licensing.

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