We have received a couple of letters in response to our articles on
aberration in the last two issues. The most extensive is from Dick Elmendorf.
I shall quote him point by point and my response will appear in
italics between the points:
Bradley's original telescope was fixed immovably to the earth.
Modern telescopes are mounted on a pier which is inserted into
the earth down to bedrock. Part of the telescope includes a
series of gauges called setting circles. If the setting circles are
large enough, a resolution of a minute of arc or less is easily
achieved. The most fundamental of all position determination
instruments, however, was the transit circle. Here the telescope
could only move along a north-south meridian. The error of a
typical transit circle observation is only 0".2, one hundredth the
size of aberration. Aberration showed up in two forms there.
First of all, in a yearly north-south variation as the star crossed
the meridian and secondly, as a variation in the time when the
star crossed the meridian. For half the year the star was early,
and the other half it was behind the mean transit time. A third
means involves occultation timings, of which more later.
(2) How do you know that light is particles, and that the
stovepipe analogy is even valid?
Whether or not light consists of particles or waves, experiments
in the lab (e.g., those of Fresnell) show that aberration is real.
(3) Are the same stars used for determining both aberration and
parallax, or are they different stars? If they are different stars in
any particular case, aren't you just assuming that both categories
of stars rotate in unison and that the phase difference is therefore
a meaningful argument?
As seen under point (1), there are no reference stars used for
determining aberration. That determination is made from a
coordinate system rigidly fixed on the earth. To measure parallax
a star's position is measured with respect to the stars seen
around it. Sometimes the star is closer than those faint,
presumably background stars, sometimes it is not. It is important
to realize that the measurements are repeatable, that a star
always behaves the same way with respect to the background
stars. Modern intercontinental interferometry yields consistent
results which are 10 to 100 more accurate than the uncertainties
encountered 20 years ago. And that includes aberration as well
as parallax. In other words, the arguments based on the uncertainties
in the measurements which the small universe
proponents have been using, were valid twenty years ago, but
are no longer valid.
(4) Is having all stars and the sun at equal distances, as is apparently
Walter van der Kamp's model, a necessary premise for
arguing that aberration is really a parallax. Aren't they two
separate issues?
Of course they're separate issues. That's my whole point. For
years Walter's been arguing that aberration is parallax, it is not.
Walter's argument is equivalent to claiming that holding one's
finger a foot in front of one's face, and then alternately opening
one eye while closing the other will make the finger jump up and
down instead of from left to right.
(5) How do you know that the moon, streetlights and artificial
satellites do not exhibit aberration because they are just too close
to measure aberration?
See the following.
Two other minor comments are that your dismissal of Walter's
distance ideas with that conspiracy" comment is mere rhetoric
la Galileo style, and that your 20".496 figure should better be
shown as 20.496", or perhaps as 20.5", in view of the possible error
in the figures.
What I said was that since all the planets exhibit aberration, as
does the sun, that according to Walter's argument all these objects
should be 58 light-days from earth along with the stars.
Then I added: This runs afoul of all evidence, including the
U.S.A. and former U.S.S.R.'s space programs unless, of course,
one wants to claim some grand conspiracy on the part of scientists
and engineers around the world. I know of no such conspiracy,
nor any reason to suspect one." I know some do claim
that the space program is a hoax, and hence my reference. As
for the notation, 20".496 is the correct way to write 20.496
seconds of arc. 20.496" on the other hand, means 20.496 inches.
See, for example, the Explanation" in The American Ephemeris
and Nautical Almanac for, e.g., 1968. At this point the uncertainty
in less than 0".0005, but in 1968 which was the last
reference I have, the uncertainty was no more than 0".001, To
contract that to 20".5 implies an uncertainty of 0".1, not 0".001.
To change 20".496 to 20".500 is unwarranted, although that is
what I would have to have done if I were to take your suggestion.
Would you do that as an engineer on a project?
I have
spoke with George Kaplan at the U.S. Naval Observatory,
who is their current expert on aberration. George points
out that, if one adopts a solar system barycenter frame of
reference [the barycenter" is the point at which all objects in the
solar system balance each other],1 then the Moon, artificial satellites,
even radio tower lights can be thought of as having stellar
aberration is a sense, even though they are seen without any displacement
at their geometric positions in the Earth's frame. In
the barycenter frame, one can imagine that stellar aberration almost
exactly cancels out the light-time delay effect of the considerable
(30 km/s) barycentric motion during the light-time, and
gives a net aberration near zero.
So the astronomers' procedures work at all scales. And they
work to high precision as VLBI [very-long baseline interferometry,
using radiotelescopes on different continents to work
together as one giant telescope] observations at the tens of
micro-arcseconds [0".00001] level demonstrate. Whether or not
these procedures are faithful to the relativity principle is another
matter. [It has been] argued that using light-time delay for
double stars is not equivalent to using relative velocities. By
similar reasoning, neither is the absence of aberrational displacement
for near-Earth objects.
For example, when the Moon is observed to occult [pass in
front of] a star, the Earth observer sees the star displaced by 20
arc seconds from its geometric position, but sees the Moon
nearly at its geometric position. Clearly, whatever displaces the
starlight must happen to it before that light passes the Moon's
limb, because from there on down the telescope tube the starlight
and moonlight must surely remain in synchronization, photon-
by-photon. It seems a reasonable inference that stellar aberration
occurs at the interface between the Earth's gravitational sphere of
influence and the Sun's gravity field. The same argument could
be applied to double star systems to explain why their light
remains synchronized.
1 2 Updated on 6 January, 2005 by GDB |