Radio Astronomy of Pulsars
Student Manual
A Manual to Accompany Software for
the Introductory Astronomy Lab Exercise
Edited by Lucy Kulbago, John Carroll University
11/24/2008
Department of Physics
Gettysburg Coll
...
Radio Astronomy of Pulsars
Student Manual
A Manual to Accompany Software for
the Introductory Astronomy Lab Exercise
Edited by Lucy Kulbago, John Carroll University
11/24/2008
Department of Physics
Gettysburg College
Gettysburg, PA
Telephone: (717) 337-6019
Email:
[email protected] Manual
Goals
You should be understand the fundamental operation of a radio telescope and recognize
how it is similar to, and different from, an optical telescope. You should understand how
astronomers, using radio telescopes, recognize the distinctive properties of pulsars. You
should understand what is meant by interstellar dispersion, and how it enables us to
measure the distances to pulsars.
Objectives
If you learn to.......
Use a simulated radio telescope equipped with a multi-channel receiver.
Operate the controls of the receiver to obtain the best display of pulsar signals.
Record data from these receivers.
Analyze the data to determine properties of the pulsars such as periods, signal
strengths at different frequencies, pulse arrival times, relative strengths of the
signals.
You should be able to.....
Understand the basic operation and characteristics of a radio telescope.
Compare the periods of different pulsars, and understand the range of periods we
find for pulsars.
Understand how a pulsar’s signal strength depends on frequency.
Useful Terms You Should Review Using Your Textbook
Crab Nebula interstellar medium pulsar frequency
Declination Julian Date radio telescope parsecs
dispersion magnetic field radio waves period
electromagnetic spectrum neutron star resolution speed of light
electromagnetic radiation Universal Time (UT) Right Ascension
2Background: Neutron Stars and Pulsars
Many of the most massive stars, astronomers believe, end their lives as neutron stars. These are bizarre
objects so compressed that they consist entirely of neutrons, with so little space between them that a star
containing the mass of our sun occupies a sphere no larger than about 10 km. in diameter, roughly the size
of Manhattan Island. Such objects, one would think, would be extremely hard, if not impossible, to detect.
Their surface areas would be several billion times smaller than the sun, and they would emit so little energy
(unless they were impossibly hot) that they could not be seen over interstellar distances.
Astronomers were therefore quite surprised to discover short, regular bursts of radio radiation coming from
neutron stars—in fact it took them a while before they realized what it was they were seeing. The objects
they discovered were called pulsars, which is short for “pulsating radio sources.”
The discovery of pulsars was made quite by accident. In 1967, Jocelyn Bell, who working for her Ph.D.
under Anthony Hewish in Cambridge, England, was conducting a survey of the heavens with a new radio
telescope that was designed specifically to look for rapid variations in the strengths of signals from distant
objects. The signals from these objects varied rapidly in a random fashion due to random motions in the
interstellar gas they pass through on their way to earth, just as stars twinkle randomly due to motions of air
in the earth’s atmosphere.
Bell was surprised one evening in November, 1967 to discover a signal that varied regularly and
systematically, not in a random fashion. It consisted of what looked like an endless series of short bursts of
radio waves, evenly spaced precisely 1.33720113 seconds apart. (See Figure 1, which shows the chart on
which Bell first discovered the pulses.) The pulses were so regular, and so unlike natural signals,
It was only about six months after their discovery that theoreticians came up with an explanation for the
strange pulses: they were indeed coming from rapidly spinning, highly magnetic, neutron stars. Tommy
that, for a while, Bell and Hewish tried
to find some artificial source of radiation
—like a radar set or home appliance—
that was producing the regular
interference. It soon became clear that
the regular pulses moved across the sky
like stars, and so they must be coming
from space. The astronomers even
entertained the idea that they were
coming from “Little Green Men” who
were signaling to the earth. But when
three more pulsating sources were
discovered with different periods (all
around a second in length) and signal
strengths in different parts of the sky, it
became clear that these “pulsars” were
some sort of natural phenomenon. When
Bell and Hewish and their collaborators
published their discovery, in February
1968, they suggested that the pulses
came from a very small object—such as
a neutron star—because only an object
that small could vary its structure or
orientation
as fast as once a second.
Figure 1: Chart on which Jocelyn Bell discovered her first pulsar
3Student Manual
Gold of Cornell University was the first to set down a this idea, and, though many details have been filled
in over the years, the basic idea remains unchanged.
We would expect neutron stars to be spinning rapidly since they form from normal stars, which are rotating.
When a star shrinks, like a skater drawing her arms closer to her body, the star spins faster (according to a
principle called conservation of angular momentum). Since neutron stars are about 100,000 times smaller
than normal stars, they should spin 100,000 times faster than a normal star. Our sun spins once very 30
days, so we would expect a neutron star to spin about once a second. A neutron star should also have a very
strong magnetic field, magnified in strength by several tens of billions over that of a normal star—because
the shrunken surface area of the star concentrates the field. The magnetic field, in a pulsar, is tilted at an
angle to the axis of rotation of the star (see Figures 2a and 2b).
Now according to this model the rapidly spinning, highly magnetic neutron traps electrons and accelerates
them to high speeds. The fast-moving electrons emit strong radio waves which are beamed out like a
lighthouse in two directions, aligned with the magnetic field axis of the neutron star. As the star rotates, the
beams sweep out around the sky, and every time one of the beams crosses our line of sight (basically once
per rotation of the star), we see a pulse of radio waves, just like a sailor sees a pulse of light from the
rotating beacon of a lighthouse.
Axis of Rotation
Earth
Radio Waves
Figure 2A
The pulse is “on.”
The Earth receives the radio waves.
Pulsar
Magnetic Axis
Figure 2B
The pulse is “off.”
The Earth does not detect the radio waves.