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What it looks like -- Where to find it -- Its orbit around the Sun
Sunspots are caused by the magnetic field of the Sun getting tangled up in
kinks. This happens partly as a result of the Sun's differential rotation.
A magnetic field line makes charged particles follow along its path (go in
circles around its path, actually.) If a magnetic field line that gets
tangled up is pushed through the surface, it can slow down convection in
that area.
Remember, energy from the fusion in the Sun's core (within 10% of the Sun's
center) is carried to the outside first by radiation, and then in the outer
30% of the Sun, by convection, which is the boiling motion that results from
sharp differences in temperature. (A hot air balloon wouldn't rise if the
hot air was the same temperature as the air around it.)
The reason that there is convection in the outer 30% is that the photons are
no longer that effective at smoothing out the temperatures--the big
difference in temperature then causes convection to take over. In the outer
30%, the lower temepratures allow the ions to form atoms again, and
the bound electrons can absorb the photons from inside the Sun much
better than free elections.
How do we know this? Well, we can measure magnetic fields on the surface of
the Sun using something called the Zeeman effect. What appears as a single
energy level in an atom is actually several different energy levels--when
there's no magnetic field, those different energy levels coincide. The
bigger the magnetic field, the more that single level is "split". If we
look at an absorption line from the Sun and it's split into several
wavelengths, how much it's split gives us a measure of the strength of the
magnetic field.
Notice that the dark and bright spots (N and S poles) are right next to each
other.
What it shows is that at the start of each 11 year cycle, sunspots are
formed mostly at latitudes on the Sun of around + or - 30 degrees. Then
as time goes by, those sunspots fade and new sunspots are formed closer to
the equator. This gives the butterfly shape. Also, more sunspots
are formed as the average location for sunspots moves towards the equator
of the Sun. Then you start to get fewer sunspots as they get right near
the equator--finally the cycle starts over.
The Sun is more "active" when there are more sunspots, and even though
sunspots are cooler than the rest of the Sun, the Sun may be brighter at
"solar max" when the most sunspots are visible. By more "active", we mean
that there are more eruptions on the surface of the Sun, such as solar
flares. Solar flares can result from the tangled up magnetic field
finding a way of untangling fast that gives off a lot of energy--like
twisted up rubber bands snapping back to place. The solar flares can be
extremely energetic and send particles through space on their way to
Earth.
Also, the corona of the Sun (hot gas surrounding it) can be affected by
the sunspot cycle and solar activity. The corona is probably kept hot by
both sound waves from the Sun and by waves along the magnetic field
lines (like waves on a string). Sometimes there are coronal mass
ejections that send gas out into space. If the magnetic field lines
of the Sun are open then gas flowing along the lines can escape the
Sun into a high speed solar wind.
This can explain much of what we know about the Sunspot cycle. The
sunspots start out at higher latitude and then form closer to the equator,
because the magnetic field gets twisted up more near the equator the
longer you wait for the rotation.
Sunspots often come in pairs like a magnet--one for the north pole and the
other for the south pole. The one that's "leading", has the same polarity
as the pole of the Sun in that hemisphere. (Example: in the North
hemisphere of the Sun, you'd see from left to right the South and then
North pole of a sunspot-pair.)
Then when sunspots meet near the equator, the north and south cancel
out--you start to get fewer sunspots near the end of the cycle. If you
have SN in that order, and the N spot cancels out a S spot from the south
pole, you end up with a S spot in the northern hemisphere and a N spot in
the southern hemisphere. It's thought that these can act to cancel out
the North and South poles themselves, so that every 11 years, the North
and South poles of the Sun reverse! This last happened about a year
ago.
For one, look what happened from about 1645 through 1715: observers
found very few sunspots compared with before or after. It turns out
that this was a time of colder temperatures, especially in Europe, and
in fact this time is often called the "Little Ice Age."
The Sun may have been 0.25 percent dimmer during this period!
The solar
dynamo, from the NASA Marshall Space Flight Center
www.spaceweather.com tells you the
latest of what's happening on the surface of the Sun and how it could affect
the Earth--and much more!
Stanford Solar
Center, a nice site
Page on sunspot
cycles at U of Oregon
Lecture notes on the
Sun by my thesis advisor
The SF Exploratorium
museum has a nice page on sunspots
Images
of the Sun, right now! from the SOHO Solar and Heliospheric
Observatory
I had a very good question today--it made me go and send e-mail to
a friend I knew in grad
school. Just for
fun, here's a picture of her getting out her frustrations with studying
the Sun after completing her thesis.
Here's the correspondence.
News: a new
comet
There's a comet in the sky right now! This
is Comet Ikeya-Zhang,
and it
has a period of 367 years. It was at its brightest on Monday, actually,
and can be seen low in the Western sky with binoculars. Perhaps after the
exam tonight or in lab on Thursday we can have a look!
Sunspots--why they're dark, how
they relate to magnetism
What are sunspots? They're regions of the Sun that appear dark
compared with the surrounding regions. They were first seen by Galileo.
The temperature of the main surface of the Sun is 5,800 K, but the
temperature at a Sunspot might be only 4,000 K. 
The
Sunspot Cycle
The sunspots follow a general progression over an 11 year cycle.

Full size image at
http://science.msfc.nasa.gov/ssl/pad/solar/images/bfly.gif
The causes of the Sunspot Cycle
What causes the sunspot cycle? Our best understanding is that it is the
result of the differential rotation of the Sun mucking up the magnetic
field at its surface. Here is an illustration of what happens to the
Sun's magnetic field as a result of the Sun's differential rotation:

The Sunspot Cycle's effect on the
Earth
The sunspot cycle can have important effects on the Earth!
Also, solar flares can disrupt power grids and satellite communications.
They can be dangerous for astronauts above the Earth's atmosphere.
But they can also create beautiful auroras near the poles!
Links
The sunspot
cycle from the NASA Marshall Space Flight Center
They Might Be
Giants sings a song called "Why Does the Sun Shine? (The Sun Is A Mass
of Incandescent Gas)", based on a 1959 educational song
Date: Thu, 4 Apr 2002 11:11:15 -0800
From: Bram Boroson
And here was the reply from her husband, who I also went to grad
school with:
Date: Fri, 5 Apr 2002 13:32:21 -0700 (MST)
From: Mark Miesch