Chapter 7
Secular Aberration
"It
is not an optical illusion, it just looks like one."
Phil
White
Secular Aberration and the MTLs
Secular
aberration will now be revisited with respect to the MTLs. Aberration of
starlight
is a phenomenon that requires telescopes to be tilted slightly in order to
track
stars, but why do telescopes need to be tilted? There are actually two ways
to
describe why they need to be tilted.
Suppose
there is a train that is traveling at 50 kph (kilometers per hour) under a
bridge.
On this train is a flatbed car that has a tall, thin bucket standing in the
middle
of this car. As the train goes underneath the bridge, someone who is
standing
on the bridge drops a drop of water such that it enters the exact center
of the
top of the bucket. Because of the motion of the train, this same drop of
water
will not hit the center of the bottom of the bucket. The bucket is attached to
the
train and the train is moving while the drop of water is moving down the
bucket.
In order for the drop of water to hit the center of the bottom of the
bucket,
the bucket must be tilted. If this train, on the next day, was traveling in
the
opposite direction, the bucket would need to be tilted in the opposite
direction.
Note
that the drop of water and the bucket/train entity move independently of
each
other. The drop of water is never "carried" or "dragged"
with the train or the
bucket.
The
second way is to talk about rain and cars.
When
we drive down the highway during a rain storm, even if the rain is coming
straight
down, it appears to the driver that the rain is coming down at an angle.
This
is an optical illusion. CCD chips that are used in telescopes are not subject
to
this kind of optical illusion because they only see starlight when it hits each
pixel,
and they see nothing until this light beam hits the CCD chip. The reason a
person
is confused is because he or she sees the light before it hits
the
windshield.
Thus, the tilt of aberration of telescopes is not caused by the same
kind
of optical illusion as people encounter while driving in the rain.
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To
understand why aberration is an application of the MTLs, consider that the
earth
is orbiting the sun, and the target (i.e. the bottom of the telescope) is
attached
to the earth (the platform), just as the bucket above is attached to the
train.
Thus the target is moving around the sun with the earth at 30 kps. A tilt of
the
telescope is required so the light that hits the center of the top of the
telescope
also hits the center of the bottom of the telescope. Since the 1700s
scientists
have used aberration of starlight as evidence of the velocity of the
earth
in total space, because they felt the sun was at rest in the universe.
But
now we know a lot more about the universe. We now know that our earth's
total
velocity in space is 370 kps. Suddenly, we know that the actual tilt of
aberration
of starlight must be based on our total velocity in space of 370 kps.
To be
more specific, it is based on our range of velocities from 340 kps to 400
kps.
Since
the tilt for secular aberration is constant for a given star, and always
causes
telescopes to be tilted in exactly the same direction, we cannot isolate
this
tilt. We can only measure the tilt caused by our variable velocity of 340 kps
to 400
kps.
The
main point to this discussion is that because the bucket and drop of water
are
independent of each other, we can therefore conclude that photons
(assuming
they exist) move independently of the telescope (i.e. they are not
dragged
with the telescope), and thus independently of the earth. This
observation,
in fact, was one of the key arguments against the ether drag theory
of
light. To put it another way, the path of a photon, once in motion, moves
relative
to the 3D CMBR of the universe, totally independently of the earth in its
motion
in the 3D CMBR of the universe (i.e. the photon, unlike air, is not dragged
with
the earth). If it were not for this, there would be no aberration of starlight
with
the photon theory.
Before
moving on another metaphor would be helpful, “The Glowing Suit
Metaphor.”
The Glowing Suit Metaphor:
Let us
consider a train that is traveling at 370 kph in a vacuum, meaning we can
ignore
all types of wind. The train tracks are straight. One of the cars on this
train
is a flatbed car that has a table on the middle of it. A person is running in
circles
around the table on this flatbed car at 30 kph, 3 meters from the table.
The
running person is carrying a tall, narrow bucket.
As
this person runs in circles around the table, note that the table is always
traveling
at a perfectly constant velocity of 370 kph towards the train's
destination.
This means the person, if he were standing still, would also be
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traveling
at a constant 370 kph down the train tracks. However, the person is not
standing
still. When he happens to be running in the same direction as the train,
his
total speed is 400 kph, relative to the ground, 370 kph from the
motion of
the
train plus 30 kph from his motion running around the table. When he
happens
to be running in the opposite direction the train is headed, he is running
at 340
kph, relative to the ground, 370 kph from the motion of the train
minus
30 kph
from his motion running around the table.
Image,
for a moment that the table and the suit of the running person glow very
brightly
in the dark. Imagine that astronauts in space are looking at this train at
night and
they can only see the glowing table and the glowing suit of the running
person.
These astronauts would see the glowing table traveling in a straight line
at a
steady 370 kph. They would also see the glowing suit moving in an almost
straight
line, but not at a constant speed. They would probably think that the two
objects
were in a race down a highway. The glowing suit would travel in nearly a
straight
line, but it would slow down and speed up and at times would be in front
of or
behind or on different sides of the table. The astronauts would be very
puzzled,
particularly if they could not see the table (try to visualize that!).
Now
consider two people that are standing far above our galaxy. The "ecliptic
plane"
is the 2D (2 dimensional) plane in space defined by the sun at its center,
and by
the orbit of the earth. In other words, the earth orbits the sun on the
ecliptic
plane by definition. The 12 zodiac constellations are all on the ecliptic
plane,
including Leo, the constellation we are headed for. Let us assume these
two
people are normal (i.e. perpendicular) to the infinitely wide ecliptic plane,
but
are
totally stationary relative to Cosmic Microwave Background Radiation
(CMBR).
Suppose they stood in the same spot for a thousand years, and could
only
see the virtually linear motion of our sun and the motion of our earth in the
cosmos
(i.e. they could not see anything else in our galaxy). They would see
almost
exactly the same thing the astronauts just described would see from
space.
If
they could measure the velocities of the sun and earth they would note that the
sun is
moving at a constant 370 kps in a linear direction, but they would also note
that
the earth is not moving at a constant velocity. At times the earth is moving at
340
kps, at times it is moving at 400 kps (because it is going in circles around
the
sun),
and at most times it is moving at some velocity between these two
extremes.
As with the astronauts, these observers would think that there was a
race
between our sun and our earth. At times the earth would be in front of the
sun
and at times it would be behind the sun in this race. At times it would be
moving
faster than the sun, and at times it would be moving slower.
Just
because we don't "see" our 370 kps average linear speed in the cosmos
on
a
daily basis (this is because of our "slow" speed relative to the
vastness of the
Universe)
does not mean it is not happening. For many centuries before Kepler,
no one
believed our earth was rotating or that it was orbiting the sun. Their
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belief,
no matter how popular or how sincere, did not stop our earth from rotating
and
orbiting the sun - and heading towards Leo. Between the time of Ptolemy
and
Kepler, the earth continued to rotate and orbit the sun and move with the sun
towards
Leo at 370 kps.
The
important point to make with this metaphor is that the sun is traveling at a
virtually
constant velocity towards Leo (this is why secular aberration is generally
ignored
in celestial mechanics calculations), but our earth’s velocity towards Leo
varies
from 340 kps to 400 kps, depending on where we are in orbiting the sun,
relative
to our joint path towards Leo. Since Leo is on the ecliptic plane, the
above
example is very accurate.
The Bucket
Now
lets talk about the bucket the running man is carrying. Suppose that high
above
the train and train tracks is a long pipe. On this pipe are occasional
buckets
that are full of water and each has a small hole in their bottom. The
water
is dripping slowly out of each of these buckets. These buckets are not
moving,
meaning each drop of water reaches the train perfectly vertical.
Suppose
each water drop hits the top of the bucket at the exact center of the top
of the
bucket, no matter where the running man is in his circular running around
the
table.
When a
water drop hits the center of the top of the bucket, the train is moving at
370
kph and the running man is running at 30 kph. As just mentioned, the
relative
velocity of the running man to the ground varies between 340 kph and
400
kph. This means that the bucket is also moving at this range relative to the
drops
of water that are coming down. This is because the pipe is not attached to
the
train, it is attached to the ground. Thus, in the time that it takes the drop
of
water
to travel from the top of this long, thin bucket (that is being carried by the
man),
to the bottom of the bucket, the bucket is moving with the train and running
man.
No drop will hit the center of the bottom of the bucket.
Because
of the MTLs, in order for each drop to hit the center of the bottom of the
bucket,
the bucket will have to be tilted. However, because the man is running in
circles
around the table, his velocity is changing and the tilt of the bucket will
need
to be constantly changed, depending on where he is relative to the table at
the
time a drop of water hits the top of the bucket.
In a
similar way, the tilt of aberration of starlight varies between 340 kps and 400
kps.
It is this variance that is measurable and is caused by our earth's orbit
velocity
around the sun (remember this discussion is pertaining to the photon
theory).
We don't really care about the motion of each star or galaxy, what we do
care
about is the angle of this light relative to the telescope.
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Note
that with the running man, the tilt of the bucket is always based on two
factors:
first, the constant speed of the train, and second, the variable speed of
the
running man. If we were to measure only the change in the tilt of
the bucket
(and
ignore the constant or absolute tilt caused by the train's motion), the change
would
only be caused by the variable speed of the running man. In other words,
no
part of the change is caused by the train's motion, because the train's motion
is
constant. The change in the tilt would be caused exclusively by the motion of
the
running man.
Likewise,
with light, aberration of starlight is always based on two factors: first,
the
constant velocity of our solar system towards Leo at 370 kps, and second,
our
earth's orbit velocity around the sun at 30 kps. As with the running man, if we
were
to measure the change in the tilt of aberration (and ignore the
absolute tilt
caused
by our solar system's motion towards Leo), the change would only be
caused
by the variable speed of the earth around the sun. No part of the change
would be
caused by secular aberration because secular aberration is constant.
Thus,
the USNO dictionary is quite right, secular aberration can justifiably be
ignored.
The
key point to all of this, and the point the reader needs to absorb, is that
with
the
photon theory, actual aberration of starlight always includes our
370 kps
motion
towards Leo. There is absolutely nothing in the photon theory to
challenge
or contradict that secular aberration is actually observed, no matter
what
the source of light is.
If we
think about the bucket mentioned above being horizontal, instead of
vertical,
and if we think about the water source as being in front of the train, little
tilt
would be needed for these drops. In other words, stars on or near the ecliptic
plane
have far less secular aberration or stellar aberration than stars normal to
the
ecliptic plane. But this does not negate that secular aberration exists for
these
stars, it simply means that because of their location much less tilt is
necessary
(i.e. the lack of tilt is not because of the lack of secular aberration, it is
because
of the angle at which the light arrives relative to our ecliptic plane or to
be
more accurate for secular aberration - the plane of our path towards Leo).
So why
can’t we measure the absolute tilt of aberration? We could if we knew
where
a star really was. But we don’t know where any star really is, we only
know
where each star appears to be. We “see” the star in our
telescope, and we
think
we know where it actually is, but in fact we don’t know where that star is
really
located.
The
scientific community is willing to ignore knowing where stars are actually
located
because it is impossible to determine where they really are. In fact we
will
never know their exact location because there may be many other factors
that
affect the light between the star and our tiny planet.
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Has
the total 370 kps tilt of aberration ever been isolated and proven to exist?
The
answer is ‘no’ because we don’t know where the stars really are, thus we
have
no basis for calculating actual aberration. The term "secular
aberration"
was
invented because our true 370 kps average velocity towards Leo must be
accounted
for in terms of aberration, no matter whether the photon
theory or the
ether
theory is true. But the two theories account for secular aberration in vastly
different
ways, as will be seen as the book progresses.
In
reality, it should be very easy to detect and isolate secular aberration,
simply
use
terrestrial light, but things are rarely as simple as they seem.
With
the ether drag theory, why is there any aberration of starlight? Late in this
book
there will be an entire chapter on aberration of starlight and ether drag. The
conclusion
of this chapter will be that aberration of starlight occurs at the
boundary
(i.e. the outside surface) of the ether drag. There are two different
ways
this can occur, but they will be mentioned later. This means that if the
sun's
ether drag extends beyond the orbit distance of the earth, that the 370 kps
secular
aberration actually occurs at the boundary of the sun's ether drag,
millions
of miles from earth. Only the 30 kps stellar or annual aberration occurs
at the
boundary of the earth's ether drag. In other words, with the ether drag
theory,
the total aberration of starlight is broken into two pieces, if the sun's ether
drag
extends beyond our orbit distance. A future chapter will detail this.
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