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Clusters are unique in that their stars are pretty much guaranteed to all
have the same birthday. They all formed together from the same cloud of
gas at roughly the same time. This helps us learn how stars change as
they age.
Above is the textbook figure of the HR diagram of the Pleiades, the open
cluster you can see in the constellation of Taurus. You can see that just
about all stars on the main sequence are included, but that there is a
"turnoff" of the most massive stars.
Above is the textbook figure of the HR diagram of a globular cluster. You
can see that the "turnoff" has happened for stars with a mass around that
of our own Sun!
The meaning of this is that hot massive stars evolve faster, so
they leave the Main Sequence first. In a younger cluster like the
Pleiades, the massive stars are still on the Main Sequence. In an old
cluster like a globular cluster, stars down to the mass of our Sun have
all used up their hydrogen fuel.
Above is an HR diagram, from the book, comparing several different
clusters. Most of the data for these HR diagrams comes from the Hipparcos
satellite.
This
excellent NASA site discusses the evolution of stars on a basic
level.
Stars are born in nebulas called molecular clouds. They are
cold nebulas, about 10-30 K. Hotter nebulas would resist gravity
more--the first act in the long battle between gravity and pressure!
These nebulas are called molecular clouds because they are cold enough for
molecules to form, mostly H2, but also CO and H2O
and others.
Orion is full
of molecular clouds. Some
clouds are dark splotches, and we have to use radio telescopes to
really learn about what they are made of. The Eagle
Nebula also shows star birth. We talked about this a little when we
talked about the formation of the Solar System.
Here is a complete image of the constellation of Orion with all its
nebulas:
As a star is born, it forms a disk (which may or may not form planets).
Paradoxically, a star as it's pulling together also ejects a lot of
material, either through a stellar wind or through jets. Jets are
very common in astrophysics but we don't agree on what causes them.
Some young stars that give off jets that hit into surrounding gas--these
are called
Herbig-Haro objects:
From the textbook:
Here is how a protostar "moves across the HR diagram" as it is being
born (figure from the book):
More massive stars evolve faster at every stage, including birth:
There are also several other differences. On the Main Sequence, a low
mass star will have convection in its outer layers, like the Sun. If it's
really low mass it will have convection all the way in! A high mass star
will have convection only in its core.
The difference between stars under and above 8 MSun is that the
heavy stars will fuse elements in their core all the way up to Iron. Then
fusion doesn't work any more, and the star implodes, bounces, and explodes
as a supernova. A lower mass star will fuse only until Carbon is created
in its core, and end life more passively as a white dwarf. The
difference is that the degenerate pressure in the white dwarf can hold
it together, but the degenerate pressure is not enough for the more
massive stars.
Above is an HR diagram showing the entire life track of a low mass
star.
What happens, in summary, is this. The p-p chain fusion turns hydrogen in
the core into helium. The reduction in number of particles causes the
core to shrink. Shrinkage means heating up. As all the hydrogen is used
up, the core can no longer fuse. Instead, there is fusion in a thin layer
of hydrogen around the core. The rest of the star expands into a
subgiant, and then a red giant.
The core becomes degenerate. Then when more helium is produced
from hydrogen in the shell drops down to the core, shrinking it further,
the core gets hot enough for fusion of helium into carbon.
But because the core is degenerate, it can't expand. It fuses very fast
in a "helium flash"--the core is no longer degenerate and the star goes
down into subgiant status again. This can last for only a few
seconds! Now there's hydrogen fusion surrounding
helium fusion surrounding an inert carbon core.
Coming down from the helium flash, a star finds itself on the "horizontal
branch" in the HR diagram--because stars that start similar can lose mass
in different amounts through a stellar wind, they end up at different
places horizontally on the diagram.
Open cluster: Pleiades
More on
the HR diagram and classification of stars
HR Diagram
page, helpful on homework problem 19 on calculating the radius of a
star
Annie
Jump Cannon, the woman who pioneered the classification of stars by
their spectra
Distances to the nearest stars are known through parallax,
as measured most accurately by the Hipparcos
satellite
Great
page on stellar classification
More
on stellar classification, including the new categories of coolest stars,
L and T, with temperatures below 2500 K
OBAFGKM
mnemonics
More
mnemonics
A: I didn't read up this much at first, as the chapter only brought
variable stars up briefly. The main use of variable stars for the
rest of astronomy is that they can help us figure out the distances to
stars. The "Cephied variable" stars have a relationship between their
period of variation and their luminosity. So if you measure period of
variability, then you know how bright it really is. Combining your
knowledge of how bright the star really is with your observation of how
bright it appears, you can figure out how far away the star is.
As described in the textbook, there is a special place on the HR diagram
where stars tend to be variable. This is called the "instability strip,"
and you can see that it mostly lies above the Main Sequence.
Many stars are variable in the post-Main Sequence red giant phase. The
outer layers of giant stars are much further away from the cores than for
Main Sequence stars.
You are encouraged to work in groups and hand in a group assignment (up to
3 people).
HR Diagrams of
Clusters--How we know how stars age
Here
is a link from Ohio State on the future evolution of the Sun. I will be
updating this page with more answers to student questions! 


A Star is Born
The life of a star is a battle between two forces: gravity, always pulling
it together, and pressure, pushing it apart. The pressure could be the
result of heat, or it could be from radiation (in the very brightest
stars), or it could be this weird thing called degeneracy pressure.




The life of a Sun-like
(low mass) star
The life of a star depends on its mass. High mass stars live faster.
Low mass: less than 2 MSun. Intermediate Mass: between 2 and 8
MSun. High mass: above 8 MSun.


How we know stellar masses
Clusters of Stars
Hubble images of globular clusters: 1,
2.
Links
HR
Diagram
Chapter Problems 15 1-10 15 19