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\begin{Large}
\section{Our Sun}
\end{Large}

\subsection{Introduction}
The Sun is a very important object for all life on Earth.  The nuclear
reactions which occur in its core produce the energy which plants and
animals need to survive.  We schedule our lives around the rising and
setting of the Sun in the sky.  During the summer, the Sun is higher
in the sky and thus warms us more than during the winter, when the Sun
stays low in the sky.  But the Sun's effect on Earth is even more 
complicated than these simple examples.\\

The Sun is the nearest star to us, which is both an advantage and a
disadvantage for astronomers who study stars.  Since the Sun is very close,
and very bright, we know much more about the Sun than we know about other distant stars.
This complicates the picture quite a bit since we need to better understand
the physics going in the Sun in order to comprehend all our detailed 
observations.  This difference makes the job of solar astronomers
in some ways more difficult than the job of stellar astronomers, and in
some ways easier!  It's a case of having
lots of incredibly detailed data. But all of the phenomena associated with
the Sun are occurring on other stars, so understanding the Sun's behavior
provides insights to how other stars might behave.\\


\begin{figure}[h]
\centerline{{\includegraphics[width=9cm]{Sun/convection02.jpg}}}
\caption{A diagram of the various layers/components of the Sun, as well
as the appearance and location of other prominent solar features.}
\label{layers}
\end{figure}

\begin{itemize}
\item{{\it Goals:}  to discuss the layers of the Sun and solar phenomena; to use these concepts in conjunction with pictures to deduce characteristics of solar
flares, prominences, sunspots, and solar rotation}
\item{{\it Materials:}  You will be given a Sun image notebook, a bar magnet
with iron filings and a plastic tray. You will need  paper to write on, a ruler, and a calculator}
\end{itemize}

\subsection{Layers of the Sun}
One of the things we know best about the Sun is its overall structure.
Figure \ref{layers} is a schematic of the layers of the
Sun's interior and atmosphere. 
The interior of the Sun is made up of three distinct regions:  the core, the 
radiative zone, and the convective zone.  The $core$ of the Sun is very hot and dense.
This is the only place in the Sun where the temperature and pressure are high 
enough to support nuclear reactions.  The $radiative~zone$ is the region of the sun where the energy is transported through the process of radiation.  Basically, the photons 
generated by the core are absorbed and emitted by the atoms found in the
radiative zone like cars in stop and go traffic.  This is a very slow process. 
The $convective~zone$ is the
region of the Sun where energy is transported by rising ``bubbles'' of material.
This is the same phenomenon that takes place when you boil a pot of water.  
The hot bubbles rise to the top, cool, and fall back down.  This gives the
the surface of the Sun a granular look.  Granules are bright regions surrounded by darker narrow regions.  These granules cover the entire surface of the Sun.\\

The atmosphere of the Sun is also comprised of three layers:  the photosphere,
the chromosphere, and the corona.  The $photosphere$ is a thin layer that forms
the visible surface of the Sun.  This layer acts as a kind of insulation, and 
helps the Sun retain some of its
heat and slow its consumption of fuel in the core.  The $chromosphere$ is the Sun's lower atmosphere.  This layer can only be seen during a solar eclipse 
since the photosphere is so bright.  The $corona$ is the outer atmosphere of the
Sun.  It is very hot, but has a very low density, so this layer can only be
seen during a solar eclipse (or using specialized telescopes).  More 
information on the layers of the Sun can be found in your textbook.\\

\subsection{Sunspots}
Sunspots appear as dark spots on the photosphere (surface) of the Sun (see 
Figure \ref{spots}).  They last from a few days to over a month.  Their 
average size is about the size of the Earth, although some can grow to
many times the size of the Earth!  Sunspots are commonly found in pairs.  How do these spots form?\\

\begin{figure}[h]
\centerline{{\includegraphics[width=9cm]{Sun/sunspotgroup.jpg}}}
\caption{ A large group of Sunspots. The ``umbra'' is the darker core of
a sunspot, while the ``penumbra'' is its lighter, frilly edges.}
\label{spots}
\end{figure}

The formation of sunspots is attributed to the Sun's {\it 
differential~rotation}. The Sun is a ball of gas, and therefore does not 
rotate like the Earth, or any other solid object. The Sun's equator rotates 
faster than its poles. It takes roughly 25 days for material to travel once 
around the equator, but about 35 days for it to travel once around near the 
north or south poles.  This differential rotation acts to twist up the magnetic
field lines inside the Sun. At times, the lines can get so twisted that they 
pop out of the photosphere. Figure \ref{twisted} illustrates this concept.
When a magnetic field loop pops out, the places where it leaves and re-enters
the photosphere are cooler than the rest of the Sun's surface.  These cool
places appear darker, and therefore are called ``sunspots''.\\

\begin{figure}[h]
\centerline{{\includegraphics[width=12cm]{Sun/Sun_fig2.pdf}}}
\caption{Sunspots are a result of the Sun's differential rotation.}
\label{twisted}
\end{figure}

The number of sunspots rises and falls over an 11 year period.  This is the amount of time it takes for the magnetic lines to tangle up and then become 
untangled again.  This is called the $Solar~Cycle$.  Look in your textbook for more information on sunspots and the solar cycle.\\

\subsection{Solar Phenomenon}
The Sun is a very exciting place.  All sorts of activity and eruptions take
place in it and around it.  We will now briefly discuss a few of these 
interesting phenomena.  You will be analyzing pictures of prominences during 
this lab.  \\

Prominences are huge loops of glowing gas protruding from the chromosphere.  
Charged particles spiral around the magnetic field lines that loop out over the surface of the Sun, and therefore we see bright loops above the Sun's surface.
Very energetic prominences can break free from the magnetic field lines and 
shoot out into space.\\

Flares are brief but bright eruptions of hot gas in the Sun's atmosphere. These
eruptions occur near sunspot groups and are associated with the Sun's 
intertwined magnetic field lines.  A large flare can release as much energy as
10 billion megatons of TNT!  The charged particles that flares emit can disrupt
communication systems here on Earth.\\

Another result of charged particles bombarding the Earth is the Northern Lights.
When the particles reach the Earth, they latch on to the Earth's magnetic field
lines.  These lines enter the Earth's atmosphere near the poles.  The charged
particles from the Sun then excite the molecules in Earth's atmosphere and cause them to glow.  Your textbook will have more fascinating information about these
solar phenomena. \\

\subsection{Lab Exercises}
There are three main exercises in this lab. The first part consists of
a series of ``stations'' in a three ring binder where you examine some 
pictures  of the Sun and answer some questions about the images that you see.  
Use the information that you have
learned from lectures and your book to give explanations for the different 
phenomena that you see at each station. In the second exercise you will
learn about magnetic fields using a bar magnet and some iron filings. Finally,
for those labs that occur during daylight hours (i.e., starting before 5 pm!),
you will actually look at the Sun using a special telescope to see some
of the phenomena that were detailed in the images in the first exercise
of this lab (for those students in nighttime labs, arrangements might be
made so as to observe the Sun during one of your lecture sessions). During 
this lab you will use your
own insight and knowledge of basic physics and astronomy to obtain important 
information about the phenomena that we see on the Sun, just as solar 
astronomers do. As with all of the other exercises in this lab manual, if 
there is not
sufficient room to write in your answers into this lab, do not hesitate
to use additional sheets of paper. Do not try to squeeze your answers into the 
tiny blank spaces in this lab description if you need more space then
provided! Don't forget to {\bf SHOW ALL OF YOUR WORK}.\\

One note of caution about the images that you see: the colors of the pictures
(especially those taken by SOHO) are {\it not} true colors, but are simply
colors used by the observatories' image processing teams to best enhance the 
features shown in the image.  \\

\bigskip
\subsubsection{Exercise \#1: Getting familiar with the Size and Appearance of the Sun}
\noindent
{\bf Station 1:} In this first station we simply present some images of the
Sun to familiarize yourself with what you will be seeing during the
remainder of this lab. Note that this station has no questions that you
have to answer, but you still should take time to familiarize yourself with
the various features visible on/near the Sun, and get comfortable with
the specialized, filtered image shown here.\\
\begin{itemize}
\item{The first image in this station is a simple ``white light'' picture of the
Sun as it would appear to you if you were to look at it in a telescope
 that was designed for viewing the Sun. Note the dark spots on the surface
of the Sun. These are ``sunspots'', and are dark because they are cooler
than the rest of the photosphere.}

\item{When we take a very close-up view of the Sun's photosphere we see
that it is broken up into much smaller ``cells''. This is the ``solar
granulation'', and is shown in picture \#2. Note the size of these
granules. These convection cells are about the size
of New Mexico!}

\item{To explore what is happening on the Sun more fully requires special
tools. If you have had the spectroscopy lab, you will have seen the spectral
lines of elements. By choosing the right element, we can actually probe
different regions in the Sun's atmosphere. In our first example, we look
at the Sun in the light of the hydrogen atom (``H-alpha''). This is the
red line in the spectrum of hydrogen. If you have a daytime lab, and the
weather is good, you will get to see the Sun just like it appears in
picture \#3. The dark regions in this image is where cool gas is present
(the dark spot at the center is a sunspot). The dark linear, and curved
features are ``prominences'', and are due to gas caught in the magnetic
field lines of the underlying sunspots. They are above the surface of the
Sun, so they are a little bit cooler than the photosphere, and therefore
darker.}

\item{Picture \#4 shows a ``loop' prominence located at the edge (or ``limb'') 
of the Sun (the disk of the Sun has been blocked out using a special
telescope called a ``coronograph'' to allow us to see
activity near its limb). If the Sun cooperates, you may be able to see
several of these prominences with the solar telescope. You will be returning 
to this image in Exercise \#2.}
\end{itemize}
\noindent

{\bf Station 2:} Here are two images of the Sun taken by the SOHO
satellite several days apart (the exact times are at the top of the
image).  {\bf (8 points)}

\begin{itemize}

\item{Look at the sunspot group just below center of the Sun in
{\bf image 1}, and then note that it has rotated to the western
(right-hand) limb of the Sun in {\bf image 2}.  Since the sunspot
group has moved from center to limb, you then know that the Sun has
rotated by one quarter of a turn ($90^\circ$).}

\item{Determine the precise time difference between the images.  Use this
information plus the fact that the Sun has turned by 90 degrees in
that time to determine the rotation rate of the Sun.  If the Sun turns
by 90 degrees in time $t$, it would complete one revolution of 360
degrees in how much time?}


\vspace*{3.5cm}
\item{Does this match the rotation rate given in your textbook or in
lecture?  Show your work. }

\vspace*{3.5cm}
\end{itemize}


\noindent
In the second photograph of this station are two different 
images of the Sun: the one on
the left is a photo of the Sun taken in the near-infrared at Kitt Peak
National Observatory, and the one on the right is a ``magnetogram'' (a
picture of the magnetic field distribution on the surface of the Sun)
taken at about the same time.  (Note that black and white areas
represent regions with different {\it polarities}, like the north and
south poles of the bar magnet used in the second part of this lab.) {\bf (7 points)}\\

\begin{itemize}

\item{What do you notice about the location of {\it sunspots} in the 
photo and the location of the {\it strongest magnetic fields}, shown by the 
brightest or darkest colors in the magnetogram?}

\vspace*{2.5cm}

\item{Based on this answer, what do you think causes sunspots to form?  Why are they dark? }

\end{itemize}

\vspace*{2.5cm}

\noindent
{\bf Station 3:} Here is a picture of the {\it corona} of the Sun, taken by
the SOHO satellite in the extreme ultraviolet.  (An image of the Sun has been
superimposed at the center of the picture.  The black ring surrounding it is a 
result of image processing and is not real.)  {\bf (10 points)}

\begin{itemize}
\item{Determine the diameter of the Sun, then measure the
minimum extent of the corona (diagonally from upper left to lower
right).}

\vspace*{2.5cm}

\item{If the photospheric diameter of the Sun is 1.4 million
kilometers (1.4 x $10^6$ km), how big is the corona? (HINT: use unit conversion!)}

\vspace*{2.5cm}

\item{How many times larger than the Earth is the corona? (Earth diameter=12,500 km)}

\vspace*{2cm}
\end{itemize}

\vspace*{3cm}

\noindent
{\bf Station 4:} This image shows a time-series of exposures by the SOHO
satellite showing an {\it eruptive prominence}.  {\bf (15 points)} 

\begin{itemize}
\item{As in station 3, measure the diameter of the Sun and then measure
the distance of the top of the prominence from the edge of the Sun in
the first (earliest) image.  Then measure the distance of the top of
the prominence from the edge of the Sun in the last image.}

\vspace*{3.5cm}

\item{Convert these values into real distances based on the linear
scale of the images.  Remember the diameter of the Sun is 1.4 x $10^6$
kilometers.}

\vspace*{3.5cm}

\item{The velocity of an object is the distance it travels in a certain amount 
of time (vel=dist/time).  Find the velocity of the prominence by subtracting 
the two distances and dividing the answer by the amount of time between the 
two images.}

\vspace*{3.5cm}

\item{In the most severe of solar storms, those that cause flares, and ``coronal
mass ejections'' (and can disrupt communications on Earth), the material ejected
in the prominence (or flare) can reach velocities of 2,000 kilometers per 
second. If the Earth is 150 x $10^6$ kilometers from the Sun, how long (hours 
or days) would it take for this ejected material to reach the Earth? }

\vspace*{3cm}
\end{itemize}

\noindent
{\bf Station 5:} This is a plot of where sunspots tend to occur on the Sun as 
a function of {\it latitude} (top plot) and time (bottom plot).  What do you notice about 
the distribution sunspots?  How long does it take the pattern to repeat?  What
does this length of time correspond to? {\bf (3 points)}

\vspace*{3cm}

\subsubsection{Exercise \#2: Exploring Magnetic Fields}

The magnetic field of the Sun drives most of the solar activity. In this
subsection we compare the magnetic field of sunspots to that of a bar magnet 
(and an optional exercise that shows that a magnetic field is generated by an 
electric current).
During this exercise you will be using a plastic tray in which you will
sprinkle iron filings (small bits of iron) to trace the magnetic field
of a bar magnet. This
can be messy, so be careful as we only have a finite supply of these iron 
filings, and the other lab subsections will need to re-use the ones supplied to 
you.

\begin{itemize}
\item{First, let's explore the behavior of a compass in the presence of a 
magnetic field. Grab the bar magnet and wave the ``north pole'' (the red end of 
the bar magnet with the large ``N'') of the magnet by
the compass. Which end of the compass needle (or arrow) seems to be attracted
by the north pole of the magnet? {\bf (1 point)}}

\vspace{2cm}

\item{Ok, reverse the bar magnet so the south pole (white end) is the one closest to the
compass. Which end of the compass needle is attracted to the south pole of
the bar magnet? {\bf (1 point)}}


\vspace{2cm}
\item{The compass needle itself is a little magnet, and the pointy, arrow
end of the compass needle is the north pole of this little magnet. Knowing
this, what does this say about magnets? Which pole is attracted to which
pole (and vice versa)? {\bf (1 point)}}\\

\vspace{2cm}

\item{As you know, a compass can be used to find your way if you are lost
because the needle always points towards the North Pole of the Earth. The
Earth has its own magnetic field generated deep in its molten iron core.
This field acts just like that of a bar magnet. But given
your answer to the last question, and the fact that the ``north pole'' of
the compass needle points to the North Pole of the Earth, what is the
actual ``polarity'' of the Earth's ``magnetic North'' pole? {\bf (1 point)}} \\

\vspace{2cm}

\end{itemize}

\noindent
We have just demonstrated the power of attraction of a magnetic field. What
does a magnetic field look like? In this subsection we use some iron filings, a
plastic tray, and the bar magnet to explore the appearance of a magnetic
field, and compare that to what we see on the Sun.\\

\begin{itemize}

\item{Place the bar magnet on the table, and center the plastic tray on top
of the bar magnet. Gently sprinkle the iron filings on to the plastic tray
so that a thin coating covers the entire tray. Sketch the pattern
traced-out by the magnetic filings below, and describe this pattern. {\bf (2 points)}}\\
\vspace{5in}

\item{The iron filings trace the magnetic field lines of the bar magnet. The
field lines surround the magnet in all dimensions (though we can only easily
show them in two dimensions). Your TA will show you a device that has 
a bar magnet inside a plastic case to demonstrate the three dimensional nature of the field. Compare
the pattern of the iron filings around the bar magnet to the picture of the 
sunspot shown in Figure \ref{sunspot2}. They are similar! What does
this imply about sunspots? {\bf (3 points)}}\\

\vspace{3.5cm}
\begin{figure}[h]
\centerline{{\includegraphics[width=6cm]{Sun/sunspot.pdf}}}
\caption{The darker region of this double sunspot is called the ``umbra'',
while the less dark, filamentary region is called the ``penumbra''. For
this sunspot, one umbra has a ``North polarity'', while the other has
a ``South polarity''.}
\label{sunspot2}
\end{figure}

\item{Now, lets imagine what a fully three dimensional magnetic field
looks like. The pattern of the iron filings around the bar magnet
would also exist into the space $above$ the bar magnet, but we cannot suspend
the iron filings above the magnet. Complete Figure 
\ref{threeD} by drawing-in what you imagine the magnetic field lines 
look like $above$ the bar magnet. {\bf (3 points)}}\\

\vspace{3cm}
\begin{figure}[ht]
\centerline{{\includegraphics[width=13cm]{Sun/threeD.pdf}}}
\caption{Draw in the field lines above this bar magnet.}
\label{threeD}
\end{figure}

\item{Compare your drawing, above, to the image of the loop prominence seen in
station \#1 of Exercise \#1. What are their similarities---imagine if the
magnetic field lines emitted light, what would you expect to see? {\bf (2 points)}}
\vspace{4cm}

\end{itemize}
\noindent
If a sunspot pair is like a little bar magnet
on the surface of the Sun, the field extends up into the atmosphere, and
along the magnetic field charged particles can collect, and we see light 
emitted by these moving particles (mostly ionized hydrogen).  Note that
we do not always see the complete set of field lines in prominences because
of the lack of material high in the Sun's atmosphere---but the bases of
the prominences are visible, and are located just above the sunspot.\\

*************If the weather is clear, and your TA is ready, you can proceed to 
Exercise \#3 to look at the Sun with a special solar telescope.************\\

\subsubsection{Optional Exercise: Generating a magnetic field with an electric current}

If yours is a nighttime lab, or the weather is poor, you may not be able
to complete exercise \#3. If this is the case, we offer this alternative
exercise on how magnetic fields are created.\\

How are magnetic fields generated? There are two general categories of
magnetism, one is due to intrinsically magnetic materials such as the
bar magnet you have been playing with, and the other are magnetic fields 
generated by electric currents. The mechanism for why some materials are 
magnetic is complicated, and requires an understanding of the atomic/molecular
structure of materials, and is beyond the scope of this class. The second
type of magnetism, that caused by electric currents, is more relevant for
understanding solar activity.\\

Electricity and magnetism are intimately related, in fact, scientists talk
about the theory of ``Electromagnetism''. An electric current, which is 
(usually) composed of moving electrons, generates a magnetic field. A moving magnetic 
field, can generate an electric current. The magnetic fields of both the
Earth and the Sun are generated because they have regions deep inside them
that act as electromagnetic fluids. In the Earth's core, it is very hot,
and the iron there is molten. Due to the rotation of the Earth, this molten
iron fluid is rotating very quickly. Thus, the liquid iron core acts like
a current flowing around a wire and can generate a magnetic field. A
similar process occurs in the Sun. The gas in the interior of the Sun is
``ionized'' (the electrons are no longer bound to the protons), and thus
the rotation of the Sun spins this ionized gas around generating an
electric current that, in turn, generates a magnetic field.\\

In this exercise you will be using a voltage source (either a battery or
low voltage transformer) to generate an electric current to produce a 
magnetic field. For our ``electromagnet'' we will simply use a bolt wound
with wire. The current flows through the wire, which generates a magnetic
field that is carried by the nail. {\bf (Warning: the wire and/or bolt can
get fairly hot if you leave the current on too long, so be careful!)}\\

\begin{itemize}
\item{Take the two ends of the wire that is wound around the bolt and hook
them to the terminals of the lantern battery (or 6V transformer). You now
have an electromagnet. Move the compass slowly around the electromagnet. 
Describe its behavior, does it act like the bar magnet? {\bf (2 points)}}
\vspace{4cm}
\item{Using the experience gained from Exercise \#2, which end of the nail
is the ``North'' pole of the electromagnet? Switch the wire leads so
that they wires are connected in an opposite way. What happens? {\bf (2 points)}}.
\vspace{4cm}
\item{Just as you did for the bar magnet, place the white plastic tray on top
of the electromagnet and gently sprinkle the iron filings into the tray
(sprinkle them very lightly, and gently tap the white tray to get them
to align--your electro-magnet is not quite as strong as the bar magnet).
Draw the resulting pattern below. {\bf (2 points)}}

~ \\
\vspace{1.5in}
\item{Does the pattern you have just drawn resemble the one generated by
the magnetic field? Describe your results. {\bf (2 points)}}
\vspace{4cm}
\end{itemize}

\subsubsection{Exercise \#3: Looking at the Sun}

The Sun is very bright, and looking at it with either the naked eye or any
optical device is dangerous---special precautions are necessary to enable 
you to actually look at the Sun. To make the viewing safe, we must eliminate
99.999\% of the light from the Sun to reduce it to safe levels. In this exercise you will
be using a very special telescope designed for viewing the Sun. This telescope
is equipped with a hydrogen light filter. It only allows a tiny amount of
light through, isolating a single emission line from hydrogen (``H-alpha'').
In your lecture session you will learn about the emission spectrum of 
hydrogen, and in the spectroscopy lab you get to see this red line of hydrogen
using a spectroscope. Several of the pictures in Exercise \#1 were actually
obtained using a similar filter system. This filter system gives us a
unique view of the Sun that allows us to better see certain types of
solar phenomena, especially the ``prominences'' you encountered in Exercise
\#1.\\
\begin{itemize}
\item{In the ``Solar Observation Worksheet'' below, draw what you see on
and near the Sun as seen through the 
special solar telescope. {\bf (8 points)}}
\end{itemize}

\begin{figure}[h]
\centerline{{\includegraphics[width=12.cm]{Sun/solarobs.pdf}}}
\end{figure}

{\small
Note:  Kitt Peak Vacuum Telescope images are courtesy of KPNO/NOAO.  
SOHO Extreme Ultraviolet Imaging Telescope images courtesy of the
SOHO/EIT consortium.  SOHO Michelson Doppler Imager images courtesy
of the SOHO/MDI consortium.  SOHO is a project of international cooperation
between the European Space Agency (ESA) and NASA.}

\clearpage

\subsection{Summary (35 points)}
 Please summarize the important concepts discussed in this lab.   
\begin{itemize}
\item{Discuss the different types of phenomena and structures you looked at in the lab}
\item{Explain how you can understand what causes a phenomenon to occur by looking at the right kind of data}
\noindent
\item{List the six layers of the Sun (in order) and give their temperatures.}
\noindent
\item{What causes the Northern (and Southern) Lights, also known as ``Aurorae''?
}
\end{itemize}
  
\noindent
Use complete sentences and, proofread your summary before turning it in.

\begin{flushleft}

{\bf Possible Quiz Questions}\\

1) What are sunspots, and what leads to their formation?\\
2) Name the three interior regions of the Sun.\\
3) What is differential rotation?\\
4) What is the ``photosphere''?  \\
5) What are solar flares? \\

\end{flushleft}

\subsection{Extra Credit (ask your TA for permission before attempting, 5 points)}

Look-up a plot of the number of sunspots versus time that spans the last
four hundred years. For about 50 years, centered around 1670, the Sun was
unusually ``quiet'', in that sunspots were rarely seen. This event was called
the ``Maunder minimum'' (after the discoverer). At the same time as this lack
of sunspots, the climate in the northern hemisphere was much colder
than normal. The direct link between sunspots and the Earth's climate has not
been fully established, but there must be some connection between these two
events. Near 1800 another brief period of few sunspots, the ``Dalton
minimum'' was observed. Looking at recent sunspot numbers, some solar
physicists have suggested the Sun may be entering another period like
the Dalton minimum. Search for the information these scientists have used to
make this prediction. Describe the climate in the northern hemisphere during
the last Dalton minimum. Are there any good ideas on the link between
sunspot number and climate that you can find?
%\end{document}
