PHYSICS 1060       Dr Mike Fanelli
Fall   2004
REVIEW SHEET #3
This review sheet covers these topics:
Distances and Motions of Stars, Properties of Stars, The HR Diagram, Binary
Stars, The Interstellar Medium, Star Formation, Star Clusters, Evolution
of Low-Mass Stars, Evolution of High-Mass Stars, Stellar Explosions,
Creation of the Elements .
The following material is intended to server as a study guide --
in other words, a list of terms, concepts, and relationships to review and understand
for the exam.
A few sample questions, some with answers, some without, are included.
These are indicated with a preceding "Q?" symbol. This study guide is
not intended to be a synopsis of the class notes, nor is it
guaranteed to be comprehensive. Exams cover the relevant
assigned chapters in the text and the notes presented in class.
There are many terms and expressions whose definition you will need to
understand. Make use of the chapter reviews in your textbook, where
many terms are highlighted. Also be sure to know the meaning of
those terms specifically described in your class notes.
A.     DEFINITIONS AND FACTS
Distances and Motions of Stars:
- Know the meaning of the term stellar parallax. How is this
particular "motion" of stars in the sky used to find the distances to
stars ?
- Understand the term proper motion.
- Proper motion is the motion of stars across the sky.
- It is measured in units of arcseconds per year, i.e., a rate
expressed in angular units, not linear units.
- Nearby stars and fast moving stars will have larger proper motions.
- Understand what a star's space velocity measures.
Properties of Stars:
- Review the defintion and use of the magnitude scale (see also Part
C in this review).
Magnitudes measure the brightnesses of stars, both their apparent
brightness AND their true brightness.
The true energy output of a star is known as its absolute
magntiude and also its luminosity.
- Review the stellar spectral classification system devised by
astronomers.
- Spectral classes are assigned letters:
O,B,A,F,G,K,M
- How are spectral types assigned ?   What information is used for
this purpose ?
- What property of a star defines its spectral type ?
- How is spectral type related to the surface temperature of stars ?
- How is a star's color related to surface temperature ?
- Luminosity class is a second type of stellar classification -
defining the range in stellar brightnesses. Know the difference between
a dwarf, giant and supergiant star. Which is brighter ? Why ?
- Be familiar with the range of stellar properties:
- Masses: from 0.08 M(sun), which are the faintest M dwarfs,
to 100 M(sun), which are very luminous O stars.
- Surface Temperature: from 50,000 K (O stars) to 3000 K
(M dwarfs).
- Size (radii): from ~500 times the Sun's radius (supergiant
stars) to 0.1 R(sun) (M dwarfs).
- Luminosities: 105 times L(sun) for O stars, to
10-4 L(sun) for M dwarfs.
- What is the composition of typical stars ?   Does this vary among
stars ?
Herzsprung - Russell Diagrams:
- Understand the appearance and purpose of an HR diagram. What
stellar properties are plotted on the HR diagram ?   What units
are used ?
- Know the principal regions within the HR diagram: the main sequence,
giants, supergiant region, white dwarfs.
- Know which regions of the HR diagram are heavily populated with stars,
and which appear sparse.
- Know that the Sun is a dwarf star, spectral type G2, "located" on the
main sequence.
Binary Stars:
- What is a binary star ?
- Qualitatively describe the orbits of stars in binary systems, and
some of the resulting phenomena.
- Define the various types of binaries:
- Visual binaries
- Astrometric binaries
- Spectroscopic binaries
- Eclipsing binaries
- Understand how binary star systems are vital for measuring the
masses of stars, using the orbital properties of a binary system and
the law of gravity.
Interstellar Matter
- Review the difference between interstellar gas and dust.
- What is the composition of interstellar gas ?   Of interstellar dust ?
- Dust in interstellar space is found in the form of grains. What is
known about these grains ? Be aware of astronomer's ideas about
their shape, size, and temperatures.
- Understand how interstellar dust affects starlight:
- By absorbing passing starlight, a process labeled extinction,
which causes stars to appear fainter.
- By selective absorption (prefering blue photons over
red photons) so that stars shining through dust appear redder.
- Review the distinction between:
- Absorption nebulae, those that block the light of distant stars
- Emission nebulae, those that glow due to the effects of starlight
- Be familiar with the different types of nebula: those associated
with star birth: HII regions, molecular clouds, and those
associated with stellar death: planetary nebula, supernova
remnants.
- What is 21cm radiation ? In which part of the electromagnetic
spectrum is this radiation emitted. Why is the detection of
this radiation important ?
- Understand the range of properties of interstellar gas and dust
clouds-- especially the dense, dark clouds which contain large
quantities of cold gas in molecular form.
Star Formation
- Star formation occurs within the "nursery" of giant molecular
clouds (GMC). Be able to describe a GMC, and why it is termed
"giant" and "molecular".
- Review the process by which a blob of gas+dust collapses to form
a star.
Q? Which forces are
primarily responsible for the formation of stars ?
- A collapsing gas+dust cloud passes through several "phases", as
described by current theories. Define these phases.
- Understand how the duration of the star formation process
changes with respect to the mass of the newly-formed star.
Stars more massive than the Sun collapse faster, stars less
massive collapse at a slower rate.
How long does it take for stars to form ?
- Define a brown dwarf.   Have these objects been spotted ?
Star Clusters
- Understand the different types of star clusters, their appearance and
stellar content.
- Open clusters: mostly young stars, loosely arranged,
containing 10-1000 stars, most stars located on the main
sequence.
- Globular clusters: old stellar systems; stars tighly packed in
an approximately spherical arrangement, containing 104
to 106 stars, no stars more massive than the Sun, many
red giant stars.
- Look at the star cluster HR diagrams presented in the text. What do
they tell us about the cluster ?
Stellar Evolution
- Understand why stars evolve - exhaustion of the
appropriate fuel for nuclear burning in their cores with time.
- Review the basic evolution of a star like the Sun. Know the
different phases, why they occur, and the approximate
duration (in years) of each phase.
- Main sequence phase:   The Sun fuses hydrogen into helium in
its core, 90% of the Sun's lifetime is spent on the main sequence.
- Subgiant phase:   The fuses hydrogen in a shell around an
inert (non-fusing) helium core. The Sun becomes cooler and
slowly expands.
- Red giant phase:   The core contracts, hydrogen-shell buring
continues, the star becomes brighter as it expands to
about 100 times the size of the Sun.
- Horizontal branch phase:   After igniting helium in its compressed
core, the Sun evolves to a horizontal branch star, with a hydrogen
burning shell surrounding a helium burning core.
- Asymptotic giant branch:   As the core is depleted of helium, both
hydrogen and helium fuse within narrow shells, increasing the Sun's
luminosity. The Sun becomes cooler, redder, brighter and larger
- Planetary nebula phase:   When the core is exhausted, the outer
layers are ejected and become a planetary nebula.
- White dwarf phase: &nbps The dead core of the Sun becomes a white
dwarf, a compact stellar remnant, with a mass between 1.4
and 0.5 solar masses, packed into a radius comparable to Earth's.
- Review the fusion processes in stars, which provides a star's energy,
and alters its composition, creating new, heavier elements.
- The proton-proton chain (p-p)
- The CNO cycle (MP 20-1 in the text)
- The triple-alpha process, which creates carbon from helium
- Heavy element fusion, leading to iron
- Understand the evolutionary path of a high-mass star.
These stars are able to fuse light elements up to iron, but
no further.
- Be familiar with the relative lifetimes of different types of
stars. This lifetime depends on the star's initial mass.
Solar-mass stars live 10-11 billion years, O stars live just a
few million years, M stars may last 100 billion years.
- Review the properties of white dwarfs, their origin, and their
evolutionary paths.
Evolution of Binary Stars
- Review how a star in a binary system may evolve differently
if its companion is located in a close orbit.
- Review the definition of a Roche lobe.
Stellar Explosions
- Know the difference between a nova and a supernova.
- Know the basic cause of a Type I supernova -- a white dwarf
within a binary star system, which has accreted too much additional mass,
exceeding the the so-called Chandrasekhar limit.
- Define an accretion disk. Where might astronomers find one ?
- Know the basic cause of a Type II supernova -- a massive star,
with an iron core, which collapses onto itself. The star explodes,
leaving behind a neutron star.
- Describe the timeline of events as a supernova explosion occurs.
- Q? What is left behind after a Type I
SN ?   a Type II ?
- Be able to describe the evolution of a supernova remnant,
the expanding shellof gas blasted out into interstellar space
by a supernova explosion. The Crab nebula is one example.
Creation of the Elements
- Understand the general pattern of element formation in nature:
- Hydrogen(1), helium(2), and small amounts of lithium(3),
beryillium(4) and boron(5) formed in the Big Bang.
[the number refers to the place in the periodic table occupied
by that element.]
- The light elements helium(2), oxygen(8), and carbon(6), are
formed in solar type stars, although most of these elements remain
"locked up" in their final evolutionary state-- a white dwarf.
A fraction of these elements are ejected as planetary nebulae.
- Middle-weight elements like sulfur, silicon, magnesium, neon,
up to iron form in massive stars during normal fusion reactions.
These elements are ejected during supernova explosions.
- Elements heavier than iron (gold, lead, uranium) form during
supernova explosions, when atomic nuclei can capture large
numbers of neutrons. These elements are ejected back into space to
eventually be the ingredients for new stars and planets.
- Develop a rough idea of the relative abundances of elements
within the universe.   Which element is most abundant ?
B.     CONCEPTS
Distances and Motions of Stars:
- Understand why the pattern of stars in the night sky does not
change appreciably during human lifetimes, despite the fact that
most stars are moving through space at scores to hundreds of kilometers
per second.
- Visualize the motions of stars. Contrast motion across the sky with
motion along the line-of-sight to a star. How are these measured ?
How would these motions change if a star was moved closer/further from
Earth, all else being equal ?
Properties of Stars:
- Stars appear as unresolved points of light even in the largest
telescopes. How are stellar dimensions (sizes) determined ?
- The intensity of light from a source becomes fainter according to the
inverse-square rule. What does this mean, and why does light
fade in this manner ?
- The observed brightness of stars depends on their (a) true
brightness (luminosity) and (b) their distance to us. Observed brightnesses
of stars are measured using telescopes and CCD detectors. How are
a star's true brightness and distance determined ?
- What information can be obtained from stellar spectra, that can be
used in the classification process ?
Herzsprung - Russell Diagrams:
- Understand what is meant by a star's "location" in the HR diagram.
- Be cognizant of the significance of the main sequence.
- Understand why the HR diagram of nearby (to the Sun) stars is
populated with stars along the lower main sequence, while an
HR diagram of bright stars in the sky contains many giant and
supergiant stars.
- Classification of stars allows us to estimate their distance via the
concept of spectroscopic parallax. How does this work ?
- Interpretation of the HR diagram has resulted in major discoveries
related to stars.
- Which stars are most common in the nearby universe ?
- Which stars are the least common ?
- Which stars the hottest ?   coolest ?   most massive ?  
least massive ?
- Which properties of a star defines its location on the HR diagram ?
Interstellar Matter
- Consider how interstellar gas appears.
What causes interstellar gas to be visible to us ?
What type of spectrum does an emission nebula have ?
How is this spectrum different from the spectra of stars ?
- How do astronomer's observe interstellar gas and dust ?  
In what portions of the spectrum does the gas and dust radiate ?
Star Formation
- What happens to a collapsing gas cloud as it passes through
each evolutionary stage from diffuse interstellar cloud to newborn
star ?
- A protostar is the name given to a collapsing interstellar
cloud when it has become approximately spherical and radiates
mostly in the infrared. Define the properties of a typical protostar,
for example one that will eventually become a star like the Sun.
Is the protostar brighter/fainter, hotter/cooler, bigger/smaller than
its final configuration?
- Q? When does a protostar become a "star" ?
- Be aware if the concept of an evolutionary track, the "path"
of a star within the HR diagram, which traces its change in
temperature and luminosity as it ages. Be able describe these
tracks.
- Understand the reason that stars are found to have an upper [~100 times
M(sun)] and lower mass limit [0.08 times M(sun)]. Why can't star be more
or less massive than these values ?
Star Clusters
- Be aware of the usefullness of star clusters in the understanding of
stellar evolution.
- Describe the change in stellar content of clusters
as the cluster ages. How do their HR diagrams change with time ?
Stellar Evolution
- Stars are stable for most of their lifetime. Review the reasons for
this stability.
- When stars begin to run out of nuclear fuel in their cores, the
core and the rest of the star respond in specific ways. The Sun,
for example will get brighter when this occures.
Why do stars respond in this manner ?
- Understand the distinction between low-mass and high-mass stars.
Stars more massive than about 8 solar masses become
supernova, stars less massive than 8 solar masses end up as
white dwarfs.
Why does the Sun cease fusion reactions ?   Why do high-mass
stars end their lives differently ?
Evolution of Binary Stars
- Why might binary stars share mass ?
- Define possible evolutionary outcomes for binary star systems.
Stellar Explosions
- Consider the origin of novae.   Why must they be located only
in binary star systems ?
- Q? Why can a nova repeat, but not
a supernova ?
- Two famous and well-studied supernova remnants have greatly aided
our understanding of stellar evolution, the Crab Nebula, and SN 1987A.
What is their significance ?
Creation of the Elements
- Why can't stars fuse elements heavier than iron ?
- How are new elements returned to interstellar space ?
C.     QUANTITATIVE RELATIONSHIPS
Parallax & Distance
The distance to a star     =     1 ÷
its parallax,
with distance expressed in parsecs,
and parallax expressed in arcseconds.
Radius - Luminosity - Temperature relation.
These fundamental properties of a star are interrelated -
L   =   R2   ×   T4,
    expressed in solar units.
The Magnitude Scale
- Magnitudes measure the brightness or luminosity of celestial
objects.
- The magnitude scale is logarithmic, for example a
difference of 5 magnitudes represents a brightness (luminosity)
difference of 100.
- Brighter magnitudes are expressed with
smaller values, which is not a common-sense method.
For example, a star with m = 3, is brighter than one with
m = 6.
The difference between the observed (apparent) magitude of a star and
its true (absolute) magnitude depends on its distance:
(m - M)   =   5 × LOG ( distance ÷ 10 pc)