PHYSICS 1060       Dr Mike Fanelli
Fall   2004
Exam 4     Review Sheet
This review sheet covers these topics:
Neutron Stars, Pulsars, X-ray Sources, Gamma-ray Bursts, Black Holes,
the Milky Way Galaxy, Spiral Structure, Galaxies, the Distance Scale and Standard Candles, Hubble's Law and Galaxy Evolution.
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 an 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-- tests 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.
DEFINITIONS AND FACTS
Neutron Stars (NS):
- Understand the origin of neutron stars - the compact
remnant of a massive star supernova (Type II) event. Review the
seqence of events which lead to this type of supernova.
- Know the basic physical attributes of a neutron size: typical size,
surface temperature, spin rate, mass (in solar units), density.
- Review our understanding of the interior structure of a neutron
star. Are they solid, liquid, or gaseous ?
- Neutron stars, like all stars, can occur in binary systems.
Be aware of the possible observational consequences of NS binary
systems, especially the phenomenon of X-ray bursters.
Pulsars:
- Understand the nature of pulsars: rotating, neutron stars.
- How fast do pulsars rotate ? Does their rotation rate
stay constant during their lifetime, slow down or speed up ?
- Review the observational aspects of pulsars: we observe
a "pulse" of electromagnetic radiation at some rate. These
pulses are observed from one end of the spectrum to the other.
Be aware of what is meant by a "pulse".
- How and when were pulsars first discovered ?
- Understand how the pulsar phenomenon was explained
as originating in a rotating neutron star.
- What is the Crab Nebula pulsar, and why is this particular
pulsar important in understanding the connection between pulsars,
neutron stars, and supernova explosions ?
- Millisecond pulsars, discovered in the 1980s, appear to be a
weird variant of pulsar, neutron stars that have been "spun up" by
accreting matter from a companion. Review astronomer's ideas on how
these pulsars might have formed.
Gamma-ray Bursts (GRBs):
- What is meant by a gamma-ray "burst" ?
- Why were GRBs not discovered until the 1960s ?
- Review the locations on the sky from which these bursts
originate.
GRBs are observed to occur in all directions of the sky.
This piece of evidence has convinced astronomers that GRBs are
cosmic phenomenon -- objects at great distances from Earth,
occuring in all corners of the universe.
- Q?   Why must we use space-based observatories to locate and
study GRBs ?
- What action did NASA recently take to further study this
enigmatic phenomenon ?
Black Holes:
- Be aware of the basic definition of a "black hole".
BHs are ultra-compact regions of space in which mass is
crushed under its own gravity to "infinite" density.
- Radiation cannot escape a BH: the escape speed is
greater than the speed of light.
- Know the definition of the event horizon
and the Schwarzschild radius of a black hole.
How does the Schwarzschild radius depend on the mass
of the hole ?
- Understand the fate of matter which falls into a BH - lost
forever from the universe.
The Search For Black Holes:
- Review how astronomers might detect a black hole -
through X-ray radiation from heated, colliding matter as it
swirls into a BH.
- Q?   What is Cygnus X-1 ? What is its signficance to
the hunt of black holes ?
- Why must astronomers use space-based observations to
study black holes ?
Our Home Galaxy - The Milky Way (MW):
- Understand how the MW appears to us on Earth,
when viewed without optical aid. How does that
appearance relate to the Milky Way's actual structure ?
- Be aware of how the MW appears when viewed through a telescope.
The faint band of diffuse light seen with the eye is resolved
into millions of stars, dark (dust) clouds, bright emission
nebulae, and numerous multiple star systems and star clusters.
- Review the basic picture of our Galaxy: a disk galaxy, about
100,000 light years(30,000 parsecs) in diameter, containing
about 200 billion stars.
- The Sun is located about 1/2 of the way out from the center.
- Be cognizant of the 3-D structure of our home Galaxy:
- A flattened disk, 30 thousand parsecs in diameter,
about 300 parsecs thick, 100 times larger in diameter than
in thickness. The Sun is located within the disk.
- Within the disk there are spiral-shaped concentrations of
young, blue stars, termed spiral arms.
- The halo: a sparsely-populated spherical region containing
old stars. Globular clusters, dense collections of up to a million
stars also populate the halo. The Milky Way has about 150 globular
clusters.
- The central bulge: a region within 1 kiloparsec of the
center, populated by old, red stars, which is "thicker" than the
disk.
- The Galactic Center: located in the direction of the
constellation Saggitarius. Not visible optically, due to the
extinction of light produced by intervening dust clouds.
Motions of gas clouds around the center indicate that the
nucleus is very small and very massive, with a few million solar masses of gas within a region not much bigger than
the solar system. Probably contains a massive black hole.
- Review the pattern of motions of the stars and gas within
the Galaxy.
Q?   How do the stars in the disk move ?
  How do stars in the bulge move ?
- Understand how observations of the motions of stars in the MW,
obtained from proper motion and radial velocity measurements of
stars and gas clouds, indicates the presence of
unseen matter.
- The total mass of the MW appears to be about 6 × 1011
solar masses. How is this determined ?
- Review the techniques used by astronomers to probe galactic structure.
Understand how these bits of information are obtained and how they fit
together to build a picture of our Galaxy. Be cognizant of how each
of the following techniques is applied and what information each
provides.
- Star counts (in different directions around the sky)
- Proper motions of stars
- Radial motions of stars and gas via measurment of the
Doppler effect on their spectra.
- Radio observations of neutral hydrogen
- Distance estimates to various components of the galaxy using
Cepheid variables, and spectroscopic parallax.
- Review the principal evidence for dark matter
within the Milky Way. How was this evidence uncovered ?
- Q?   What are spiral arms ?   What happens when gas in
the disk of a spiral galaxy flows into an arm ?
The Universe of Galaxies:
- Understand the galaxy classification system used by astronomers,
originally developed by Hubble. A galaxy's classification
depends on its shape, optical color, gas
content, and star populations. Review the types
of galaxies, and what their defining properties.
- Elliptical galaxies:   Spheroidal systems,
containing negligible amounts of cold gas and dust. Contains
mostly old (10+ billion years) stars and appear red in color.
Stars orbit in random directions; there is no net rotation.
- Spiral galaxies:   Flattened systems containing a
disk, with gas, dust and young stars, which surrounds a
bulge, containing mostly old, red stars. Stars in the
disk orbit in roughly circular direction around the center;
stars in the bulge have more random orbits.
- Irregular galaxies:   Relatively young, unevolved
stellar systems, rich in gas, dust, and young stars. Show no
well-defined overall structure.
- Be cognizant of the "neighborhood" of our home galaxy,
the Milky Way.
- The Galaxy exists in a collection of galaxies, known at the
Local Group.
- The Local Group consists of 3 spiral systems: the Milky Way,
Andromeda, and M33, the Large and Small Magellanic Clouds (both
irregulars), in orbit around the Milky Way, and about 30 small,
faint, dwarf galaxies.
- Galaxies in the Local Group interact through their gravity.
- Be aware of the typical sizes of galaxies and their average
separations, both measured in thousands of parsecs (kiloparsecs).
Standard Candles and the Cosmic Distance Scale:
- Standard candles are objects or phenomena whose intrinsic
(true) brightnesses are known to good accuracy. Review how astronomers
utilize standard candles to determine the distance to objects in
space.
- One example of a standard candle are Type I supernova-- the
detonation of an "overloaded" white dwarf located within a binary
star system. Type I supernova appear to reach a fixed maximum
brightness, then fade in a predictable way. They are extremely
bright-- permitting their detection at great distances.
- Another extremely useful standard candle are Cepheid variables,
stars that pulsate in a predictable way. If you observe a Cepheid,
you can determine its period of variability, known as a light
curve. This period is directly related to the star's true
brightness: longer periods imply more luminous stars.
- Know which standard candles are useful at which distances, and why. Use the cosmic distance "pyramid" diagrams presented in your text.
Hubble's Law and the Expansion of the Universe:
- Understand the observational basis for "Hubble's Law":
Spectra of almost all galaxies show a
redshift: a shift of spectral lines (emission or
absorption) towards the red
end of the spectrum.
- Be aware of the meaning of Hubble'a law: the rate at which a galaxy
recedes from us is directly proportional to its distance.
- Hubble's law can be used as a distance indicator-- objects with larger
redshifts are more distant.
- Review the interpretation of Hubble's Law: that the universe
as a whole is expanding, from an origin in time about 14
billion years ago.
CONCEPTS
Neutron Stars & Pulsars:
- Astronomers have identified two types or mechanisms for supernova
explosions. Understand the basic physical difference between these
two types of supernova. What type of remnant is left behind ?
Describe the overall sequence of events before, during, and after
a supernova explosion.
- Know the difference between a white dwarf star, a neutron star,
and a pulsar. Compare their sizes, masses, and structures.
- What keeps a NS from collapsing under its own gravity ?
- Understand the lighthouse model for a pulsar.   Why does
the pulsar's spin produce "pulses" ?
- Pulsars do not always maintain a constant pulse rate. This rate can
both slow down (the natural order of things) and in odd cicumstances,
speed up. Why does either phenomenon happen ?
Gamma-ray Bursts:
- Two different models for gamma-ray bursts have been proposed - what
are they ?
- Review the fundamental mystery of GRBs - why do astronomers infer
that their intrinsic (true) luminosity is so huge ?
Black Holes:
- Review the specifics of a fall into a black hole. What does an
external observer (the fortunate one) see ? What does an
infalling observer (the UNforunate one) see and feel ??
- If radiation cannot escape from inside a black hole, how do we
identify a black hole, or in other words, how do we "see" one ?
- Be aware of a prediction of Einstein's theory of relativity
concerning light in strong gravitational fields, the phenomenon
termed a gravitational redshift. Why is this relevant to
black holes ?
- How might a black hole form ?
Galaxies:
- Consider the conplexity of galaxies: collections of 107
to 1012 stars, gas and dust clouds with a range of
densities, temperatures, and motions, plus the dark matter. Review
how these different components are organized in a typical galaxy.
- Be cognizant of the reasons astronomers give for the existence of
dark matter in the universe. What does "dark" mean in this context ? How do we infer the presence of dark matter ?
- Understand the basic scenario of galaxy formation: from diffuse gas
clouds, collapsing under gravity, into a flattened disk in which
stars form.
- Understand why galaxies interact more frequently than individual
stars. What forces are operating when galaxies collide ?
- Review the concept of a standard candle. How is an object or
phenomenon serving as a standard candle used to find distances ?
  Why is this important ?
- Hubble's "law" implies that the universe is expanding. Be aware of
the the properties of a galaxy which are related through Hubble's law,
and the implications of Hubble's law for the origin of the universe.
QUANTITATIVE RELATIONSHIPS
Black Hole Sizes and Masses:   The Schwarschild radius of
a black hole can be easily estimated using this formula:
Rs   =   3 × Mass,
where the mass is expressed in solar units. The radius is
given in kilometers, and represents the distance from the
central singularity at which the escape velocity equals the
speed of light.
Hubble's Law:   relates the distance to a galaxy
to its observed redshift. Any shift in a spectral line is interpreted
as a shift due to motion: blueshift = motion towards, redshift = motion
away. Hubble's "law" can be expressed:
Velocity   =   H0 × Distance
H0 is known as Hubble's constant, and its currently
measured value is ~ 65 kilometers per second per million parsecs.