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Doppler for Dummies
In the mid-nineteenth century Christian
Doppler discovered what proved to be one of the most important
physical phenomenon's known to present day astronomy, the Doppler
effect. "A change in wavelength proportional to any line-of-sight
velocity between observer and the source." In simplified
terms, the color of many celestial objects directly approaching
or directly receding earth will shift towards red or blue depending
on their direction and speed. This change is commonly called
redshifting or blueshifting and allows astronomers to calculate
the speed and direction of the objects in space.
To better understand the Doppler effect it becomes necessary
to consider a general definition of what light is and how astronomers
determine colors. Light visible to the naked eye or not, is a
from of electromagnetic radiation that carries energy outward
in all directions form a given point. A star for example, is
radiating energy (electromagnetic radiation) outward from it's
mass in the form of fluctuating electric and magnetic fields
we call waves. To calculate the speed of these waves we depict
a continual S-formation maintaining a maximum parallel top and
bottom in the formation. We then measure the amount of time it
takes for each wave to re-establish its maximum height or depth,
which is labeled a wave cycle. Radio, infrared, ultraviolet,
X-rays, gamma rays and visible light waves all have a different
wave cycle allowing astronomers to label their properties. In
short, all colors, visible or not, have a unique wave pattern
that can be viewed by a process called spectroscopy. Using this
process, we evaluate all colors by their signature wave patterns
and even decide what elements the source objects are composed
of.
To get a practical idea of how these wave cycles work here on
earth, imagine that you are in a very small boat in the ocean
anchored several miles from shore. The wind is blowing somewhat
hard and the brisk crests of waves are continually hitting the
bow of your boat about every two seconds. You become tired of
this annoyance and decide to return to land but must steer in
the direction the waves are coming from to return. As you build
up speed into the waves you notice that the wave crests are now
hitting your bow twice as fast. (About 1per second) This proves
to be annoying so for an experiment you choose to direct your
boat away from the direction of the waves. Now you notice that
the bumping wave crests have decreased dramatically and only
hit your bow approximately every four seconds. The problem is
that you are now heading in the opposite direction from shore.
Finally you conclude that you will just have to put up with the
increased frequency of wave crest bumps (wave cycles) in order
to reach your destination. Just as the water crest cycle increased
as you traveled in their direction, light wave crest cycles increases
when you or the source begins moving towards each other.
Astronomers and scientists have cataloged millions of wavelength
cycle patterns and placed them in huge databases for reference.
The term "frequency" is used to measure the number
of times a complete wave cycle intersects a certain point per
second. The result of this computation is normally labeled "Hertz",
named after a German scientist Heinrich Hertz who experimented
with properties of radio waves. In the example above, that anchored
boat was receiving a complete wavelength cycle (frequency) every
two seconds. That equates to a frequency of .5 Hz. Per second.
(Hz. Is short for Hertz). As the boat powered in the direction
of the wave crests it was receiving wavelength cycles of 1 per
second or 1 Hz. per sec.
Another example of increased or decreased wave cycles here on
earth is the sound of a horn of a fast moving train. If you are
standing near a railroad track the sound of a train's horn changes
dramatically as it passes by. As the train blows it's horn, the
wave lengths frequency is constant but the train is physically
rushing them towards you resulting in an increase of complete
cycles hitting you per second. The result is a continual increase
of frequency while it is approaching and a continual decrease
as it is receding. In space however, wavelength crests are not
that sensitive to change.
Unlike sound and water waves, light radiation does not require
a material medium to travel. Electromagnetic radiation waves
travel through the vacuum of space at a specific speed. The speed
of light travels at the approximate rate of 300,000 km. per second
no matter where you are in space. In the length of time it takes
you to blink your eye, light could travel about one third of
the way around the world. Since the speed of light is constant
in space, it provides a very convenient way of tracking the speed
and direction of a source object provided that is moving towards
or away from us. For example, a certain source object in space
has a known spectral wave signature and is receding the observer.
It would have a slightly longer wavelength because it is physically
moving away from the observer and appear redshifted. That is
to say that the color of the source object would be more of a
reddish appearance than one would expect. The exact opposite
is also true for objects in space that are traveling in the direction
of the observer. It would be blueshifted and appear to have more
of a bluish cast than normal. It should be noted here that the
observer of a Doppler shift couldn't tell whether it is the source
or his observation point are moving. Because of this fact, several
know calculations must be performed before determining the nature
of the movement. Since the earth orbits the sun, it is in effect
traveling towards and away from a source object at different
times of the year causing a variation in color.
One of the most noticeable examples of the Doppler effect can
be seen in a binary star. A binary star really consists of two
stars, one orbiting the other. As the orbiting star travels in
its path it becomes redshifted and blueshifted depending on it's
direction in relation to earth. The actual change in color alerts
astronomers to the direction and speed of both stars. As a side
note astronomers can also determine the mass or size of the star
by its orbital period. Since the redfhifting and blueshifting
will be a repetitive occurrence it is easy to determine the time
length of orbit.
Astronomers use the Doppler effect to discover speeds and directions
of many celestial objects just by looking at their colors. Even
distant galaxies and the expansion of the universe itself are
continually monitored for change and conformation. A planet could
be tugging a distant star closer or further from earth and it
would be impossible to discover if it were not for its change
in color.
There is one catch to this would be perfect measurement, the
angle. Evidence of redshifting and blueshifting will not be present
if we are perpendicular to the plane of orbit. Reconsider the
example of the small boat and the ocean waves. The waves hit
the bow faster or slower depending on the direction and speed
traveled by the boat. But what if the boat was traveling parallel
to the direction of the waves? Almost no effect would be felt
in either parallel direction the boat traveled as it moved. It
is for this reason that the Doppler shift cannot be measured
in objects that are at 90-degree angles from each other.
Although it is currently impossible to go fast enough here on
earth to notice a Doppler shift, it is interesting to note that
the Arizona Highway Patrol seems to be somewhat advanced in their
thinking. Imagine that you have a futuristic car that can travel
faster than the speed of light. Therefore both you and the observer
are experiencing redshifting and blueshifting. It would not matter
whether you are accelerating away from, or the patrol officer
was accelerating on your position as he attempts to stop you.
On the top of his car are two emergency warning lights that are
conveniently colored red and blue. |