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March 25 |
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Welcome back from break! Everyone tan, rested, and ready? I hope so!
First off, I'm glad that we
weren't all wiped out by an asteroid! We're going to pretty much skip
over the chapter (Chapter 12) that goes in detail into asteroids, comets,
and the risk of something crashing into the Earth. An asteroid crashing
into the area that's now Mexico may well have caused the extinction of the
Dinosaurs 65 million years ago.
Here is a
plot
of where asteroids are in general. Note that most are between Mars and
Jupiter (in green), that some are 60 degrees away from Jupiter (in the
specially stable parts of its orbit--these are the Trojan asteroids), and
the asteroids with red dots are the "Apollo" asteroids that go closer in
than Mars and can approach Earth.
Here is a neat site that
lets you see the orbits of the asteroids that may approach the Earth.
The orbits are 3-d and you can rotate the viewing to look at them from
different angles. The predictions aren't accurate over the long run
though--as I mentioned in talking about orbital resonances, the
three-body problem is very complicated, so it is hard to calculate
the motion of an asteroid far into the future when the asteroid and Earth
are both acted on by the Sun's gravity.
In 1908, an
explosion rocked Siberia, knocking down a forest of trees. We now
suspect that this was an asteroid crashing into the Earth, an asteroid
about the same size as the one that just missed on March 8. No crater was
formed, so the asteroid probably burned up and exploded before it reached
the ground. There are some more speculative ideas about what may have
caused the explosion, but an asteroid is probably the best explanation we
now have.
Some of the things the Sun does are amazing. Of course it's responsible
for all our energy here on Earth, but we'll get to the source of the Sun's
nuclear energy in a bit. Then tomorrow I'll talk about sunspots and how
they change over time, and how they affect our weather.
First, a fun tour of how the Sun looks:
An image of the Sun in visible light. The sunspots are
actually not, but only appear dark against the greater light of the rest
of the Sun. Click for more information on the photosphere.
Here
is a link to a bigger image of the Sun. Note not only the sunspots
but also that the Sun appears darker along the edges (called the
limb of the Sun). Why's that? Because at the edge, we look
through more of the darker outer layers.
(What do we mean by the edge of the Sun? We call its "edge" the
photosphere. That's where we see the light from--it's the place
where, statistically, the light was bounced around last. Light from the
Sun typically bounces around something like 200,000 years before reaching
the surface--this is something you'll explore in this
week's lab--the flow of energy from the Sun.)
The Sun's surface actually shows details--granulation, as seen in
these
movies. Granulation is the result of convection in the outer
layers of the Sun's interior.
The Sun's heat is made in its inside, and leaks to the outside as the
photons keep bouncing around in a "random walk". So we expect the Sun to
be hotter inside than outside. That's why the "limb darkening" makes
sense. The higher up layers are cooler. They cause abosorption lines
(remember, cool in front of hot blackbody will cause absorption?)
In its center the Sun is about 15 million degrees--very hot! At
the surface it is only 5800 K.
But then slightly further up the temperature of the Sun starts to reverse.
The photosphere is a few 100 km thick. Just outside is the chromosphere,
in which the temperature rises to 6,000 to 20,000 K. We can see emission
lines from the chromosphere, because in this case we have a hot gas in
front of a cooler blackbody.
Click on the image for more information on the solar
chromosphere.
Those dark lines you see in the chromosphere are called filaments,
but when viewed from the side are called prominences. They may be
tens of times bigger than the Earth. Click
here for an amazing image of a solar prominence.
Even higher up, in the corona, the density goes down and the temperature
rises to millions of degrees. Why? This was a puzzle for a very
long time. Heat flows from hot to cold. The source of heat inside the
Sun is near its core, where it is hot and dense enough for nuclear fusion.
There's no fusion going on in the corona or chromosphere, so why are they
so hot?
This is just a tour for now, so I'll come back and explain later!
Once we talk about fusion, then we'll talk about how energy gets out
from the inside of the Sun!
Between the photosphere and chromosphere is a very thin layer called the
transition
region. There are some beautiful movies made by the TRACE satelite (TRACE stands for
Transition Region And Coronal Explorer) that you can view here.
But that merely heated up the inside enough to start the fusion
going.
What is fusion? How does it give off energy? Why does it have to be hot
for fusion to start?
Fusion is when the nuclei of two atoms come together to form a new single
nucleus. Remember, atoms are made of nuclei (which contain positive
protons and neutral neutrons) surrounded by negatively charged electrons.
But in something as hot as the center of the Sun, the electrons are all
kicked away from the nucleus by collisions (the gas is said to be
ionized.) So you pretty much just have nuclei floating around.
But all nuclei are positively charged. Like charges repel. So it's hard
to get them to come together. They come together in the center of the Sun
because the high temperature gives the atoms so much velocity that they
can overcome that electrical repulsion and get close enough for the
nuclear force to pull them together.
Fusion can release a tremendous amount of energy. That's something
demonstrated in a hydrogen bomb--a hydrogen bomb works by fusion, and a
regular atomic bomb by fission (when heavy atom such as uranium breaks
apart, it releases energy.)
Why is this? Why is energy released when fusion happens to light
elements like hydrogen, but fission happens to heavy elements like
uranium?
Well, in a nucleus there are 2 main forces vying for power. All the
protons are positively charged, and positive charges repel. So a nucleus
would blow apart, if it weren't for another force, the nuclear force
(actually the strong nuclear force--there are 2 varieties) that
keeps it together. But the nuclear force gets especially weak over longer
distances. (If you want to be mathematical about it, the nuclear force is
behaves similarly to the gravitational force, but contains a factor of
e-r/R, where r is the separation of the particles and R is a
distance, called the range of the force. The mathematical form of the
force is also called the "Yukawa potential".)
So you have a nucleus held together by this nuclear force that gets weak
over long distances, and pushed apart by electricity, which stays
stronger. Result: when you increase a small nucleus, you are also
increasing how tightly it is bound together. In a small nucleus, each
particle can feel each of the others, and increasing the number increases
the cohesion. But in a large nucleus, so many particles are far away that
they are beyond the range of the attractive nuclear force and only the
repulsive electrical force adds up.
A graph of how much energy per proton or neutron each nucleus has holding
it together. Click for more details (but it gets a bit mathy.)
This is extra detail for those who like it:
In a star like the Sun, fusion operates to convert 4 hydrogen nuclei into
one nucleus of Helium. It does this in several stages (and in fact there
are other entire "branches" by which this can happen, similar but slightly
different.) This method is called the "p-p" chain, because it involves
protons kicking into other protons.
First step: p+p-->Deuterium (a nucleus with one proton and one neutron, an
isotope of hydrogen) and a positron (an antimatter version of an
electron) and a neutrino. The positron can then bump into an
electron--they destroy each other giving off energy
Second step: p+D-->He(3)+photon (He (3) is a version of Helium with 2
protons and 1 neutron)
Third step: He(3)+He(3)-->He(4)+p+p
Images
of the Sun, right now! from the SOHO Solar and Heliospheric
Observatory
Astronomy Notes
Dot Com on the Sun
Q: What is the tilt of the Sun's rotation axis?
A: It's 7.25 degrees from the axis of the Earth's orbit, as you can read
here.
Welcome back!
This page is being updated! 
The Sun
-- Overview
The Sun is huge. It's 99.8% of the mass of our Solar System (more than
300,000 Earth masses), it's 109 times the radius of the Earth.
The Sun--going out from
the
photosphere
At the photosphere, the Sun is actually 10,000 times less dense than the
air around us.
Overall, the Sun's density is slightly greater than the density of water,
and in its center it's more than 100 times as dense as water (more than
100 grams per cubic centimeter.)
The Sun--Nuclear
Fusion
Fusion has been going on inside the Sun for about 4.6 billion years,
turning hydrogen into helium and releasing energy. It got started because
the gravity of the Sun pulled the gas together--compressed gas heats up.
In fact, scientists first thought the Sun was hot because of this
compression heating, before they knew about the atomic nucleus.
Links
Stanford Solar
Center, a nice site
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