Introduction
Concept
Certain X-ray bright objects in the sky at times emit sudden large bursts
of X-rays, many times the normal number being received from these
objects.
Some of these objects seem to release these bursts in a periodic fashion.
The objects GRO
J1744-28 and 4U
1820-30 are examples of bursting sources.
The mechanism behind these surges of energy involves a neutron star and
its
accretion disk. The material falling onto a neutron star from the
accretion disk builds up on the star's surface. This leads to tremendous
gravitational pressures within this added material. Finally the pressure
is great enough to allow the atomic nuclei of the gaseous material to
combine and release enormous amounts of energy in a process similar to
that
in the sun and in hydrogen bombs. This results in an X-ray burst, a
sudden, intense flash of X-rays that lasts from seconds to hundreds of
seconds.
Another suggested mechanism to account for these observations is that
there
are instabilities in the gas as the accreting material penetrates deeply
into the magnetic field of the neutron star.
Gathering very short time resolution data on the changes in the light
curves and spectra of these objects will help determine the correct
description of the process.
Theme
In this segment the student is introduced to the use of X-ray data to make
size and energy estimates of the source and the processes occurring there.
Objectives
Using XTE observations of the object GRO 1744-28 the student will be able
to:
Determine whether bursts occur periodically.
Use the duration of the burst to estimate a maximum diameter
for the object.
Make a qualitative comparison of the spectrum of this object
with that of the Crab nebula's pulsar to determine the presence of
additional activity due to complex interaction with the
companion star.
Requirements
- Grade level:
11th or 12th
- Prerequisites:
Algebra, physics, chemistry or physical science
(some formal introduction to energy processes and their measurement)
- Preparation:
The teacher must download and distribute copies of
the following plots (or be able to instruct the student to get these):
This lesson depends largely on the student's understanding of energy
conversion in a nuclear reaction, and of the fundamental implications
of the speed of light in space.
- Materials (per lab group):
One copy of the light curve graphs,
calculator, graph paper, pencil.
- Setup:
Be sure to know how the student groups will obtain the
necessary graphs.
- Estimated class time:
Once the graphs are obtained,
approximately 20 minutes.
Lesson Plan
Warm-up
How long would it take for a photon of light to cross a distance equal to
the diameter of the Sun?
Activity
Distribute the graphs (Light curves of GRO 1744-28) with the following
directions/questions (Note that gaps in the light curves are simply times
when GRO 1744-28 was not visible to XTE):
Estimate the average number of counts per second received
by the detector from this source. Estimate the average increase in the
number of counts per second recorded during bursts.
Estimate the average duration of the bursts.
Do the bursts appear to be periodic? If so, can you estimate
the period? Is there additional data you would like to have, in order to
defend your statement about the periodicity of this phenomenon?
The X-rays travel through space at the same speed as visible
light. Use the duration of the bursts to give an upper limit to the
diameter of the source. (HINT: See the warm-up.)
Conclusion
At the end of the lab portion of the class time, groups are called upon to
display their results and answer questions from classmates about their
methods and findings. The teacher may then lead a discussion of the
suggested observations, the methods of investigation used by the groups, a
statistical analysis of the reported results, or other aspects of this lab.
Assignment
Neutron stars have masses up to about 3 solar masses and diameters of
about 20 km. Assuming this mass and size, answer the
following questions (The sun's mass is 1.99 x 1030 kg.):
What is the density of the neutron star?
What would be the gravitational acceleration at its surface
(in g's)?
What is the escape velocity at the surface?
Note that the diameter you obtained from the duration of the burst
(step 4 in the Activity) is likely very much larger than 20 km. Why
might this be so ?
References
Zeilik, Michael. Astronomy: The Evolving Universe.
John Wiley & Sons, Inc., New York (1991, 6th ed.)
pp.384-390
Arny, Thomas. Explorations: an Introduction to
Astronomy. Mosby, St. Louis (1994) pp.401-402
Graham, Sir Francis. "The Binary and
Millisecond Pulsars." Contemporary Physics 33
(May/June 1992): 165
Lewin, Walter H. G.. "The Sources of Celestial X-ray
Bursts." Scientific American 244 (May 1981): 72
Trimble, Virginia. "Neutron Stars and Black Holes in
Binary Systems." Contemporary Physics 32
(March/April 1991): 103
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