Also knowing full well that Mr. Carr will undoubtedly
attempt to weasel out of his totally inaccurate explanation
of refraction and how it applies to a view of the Sun,
whereas it does not apply scarcely *at all* to the ability
to see Cuba from Key West, I will post further proof of
Mr. Carr's lack of understanding of refraction.
To wit:
Article 11721 of talk.politics.misc:
From: j...@athena.mit.edu.UUCP
TS : 1)the Sun is up in the sky being refracted through an
TS : atmosphere many miles thick.
JFC :This is my point.
JFC :
JFC :The figure I quoted, .5 degrees, is for the sun on the horizon.
JFC :This means its light passes through the equivalent of about 200
JFC :miles of sea-level air. Light from Cuba passes through half this
JFC :much air, so will be refracted by half as much (in both cases the
JFC :light travels almost horizontally through the air, so the reasoning
JFC :is valid).
Actually, I was not thinking clearly myself in this passage.
The reason the Sun is refracted whereas day to day objects
(including those seen over the sea) in air are not, is due to
the change in density of the atmosphere at higher altitudes
and the abrupt change to the vacumn of space.
Cooper's text says this (p. 181):
"Light traveling through a vacumn, or through a uniform medium
in a straight line and with finite speed, has what seems to
be an inertial property."
"We now consider the behavior of light as it passes from one
*homogeneous medium* to another, for example as it passes from
--------------------
air to water."
Further, (p. 182), Cooper says:
"This constant, known as the index of refraction, is a property
of the two materials and differs for different materials. For
example there is one index of refraction for an air-water surface,
another for an air-glass surface, and a third for a glass-water
surface."
There is *no such thing* as an "index of refraction" for SeaLevel
air. There undoubtedly *is* some index of refraction for air at
sealevel density versus air in the upper atmosphere, and of course
there is *certainly* an index of refraction for an air-vacumn
surface.
Which leads back to my original point:
Michael Friedman could not *possibly* have seen Cuba from Key
West. Mr. Carr, Mr. Swan, and others jumping in to attack
me and defend Mr. Friedman's statement on the grounds that
refraction makes it possible are all wrong.
And I hope this teaches them all a lesson about "seeing
what they want to see" and believing what they want to
believe.
Meanwhile, I have been bombarded with attacks from every
rightwinger on the Net on every statement I have ever made
in this newsgroup, or rather a very small subset of the
statements I have made in this newsgroup.
I cannot possibly respond to all of them.
All I can say is: this particular exchange was one which may
demonstrate to others on the net just who has credibility and
who does not.
Remember it in the future...
tim sevener whuts!orb
see
In article <38...@whuts.UUCP> o...@whuts.UUCP (45263-SEVENER,T.J.) writes:
: Knowing full well that the Reaganistas will not accept
Tim, I ask you again to define "Reaganistas" in terms of
groups with which we are familiar.
: my explanation of the principle of refraction,
: I will herein post quotes from "An Introduction to the
: Meaning and Structure of Physics" by Leon N. Cooper.
: It is an introductory college physics textbook.
And my calculations are based on (besides common sense and scientific
reasoning) the CRC Handbook of Chemistry and Physics, an astronomy
textbook, and class notes for an astronomy course.
: Also knowing full well that Mr. Carr will undoubtedly
: attempt to weasel out of his totally inaccurate explanation
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
See below.
: of refraction and how it applies to a view of the Sun,
: whereas it does not apply scarcely *at all* to the ability
^^^ ^^^^^^^^ ^^^^^^^
Actually, the way I parse this string of negatives Tim has just said
my calculations are valid.
: to see Cuba from Key West, I will post further proof of
: Mr. Carr's lack of understanding of refraction.
: TS : 1)the Sun is up in the sky being refracted through an
: TS : atmosphere many miles thick.
: JFC :This is my point.
: JFC :The figure I quoted, .5 degrees, is for the sun on the horizon.
: JFC :This means its light passes through the equivalent of about 200
: JFC :miles of sea-level air. Light from Cuba passes through half this
: JFC :much air, so will be refracted by half as much (in both cases the
: JFC :light travels almost horizontally through the air, so the reasoning
: JFC :is valid).
: Actually, I was not thinking clearly myself in this passage.
: The reason the Sun is refracted whereas day to day objects
: (including those seen over the sea) in air are not, is due to
: the change in density of the atmosphere at higher altitudes
^^^^^^^^^^^^^^^^^^^
No. See below. The change in density of air is highest at lower altitudes.
See the Handbook of Chemistry and Physics.
: and the abrupt change to the vacumn of space.
^^^^^^^^^^^^^^^^^^^^^^^^^^^
The earth's atmosphere at low to medium altitudes is well approximated by
a decaying exponential. There is NO ABRUPT TRANSITION TO SPACE. Remember
Skylab? It was in space. There was air up there. Don't trust me, ask
anyone who is involved in any way with space travel.
: Cooper's text says this (p. 181):
: "Light traveling through a vacumn, or through a uniform medium
^^^^^^^^^^^^^
Here is the key. Air is not uniform.
: in a straight line and with finite speed, has what seems to
: be an inertial property."
: "We now consider the behavior of light as it passes from one
: *homogeneous medium* to another, for example as it passes from
: --------------------
: air to water."
And here is my other point, that light does not pass between media,
so this law of refraction does not apply.
: Further, (p. 182), Cooper says:
: "This constant, known as the index of refraction, is a property
: of the two materials and differs for different materials. For
: example there is one index of refraction for an air-water surface,
: another for an air-glass surface, and a third for a glass-water
: surface."
This is irrelevant, since there are no discontinuities involved.
Also, this is not the correct definition of "index refraction".
The index of refraction is measured relative to vacuum, and is
defined by (speed of light in material) * (index of refraction) = c.
: There is *no such thing* as an "index of refraction" for SeaLevel
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
This is absolutely, totally wrong. No politics involved. I gave the
index of refraction for air in my posting (1 + 280x10^-6, approx).
: air. There undoubtedly *is* some index of refraction for air at
: sealevel density versus air in the upper atmosphere, and of course
: there is *certainly* an index of refraction for an air-vacumn
: surface.
: Which leads back to my original point:
No, it doesn't. It does, however, lead to mine: that Tim Sevener has
even less understanding of physics than I thought. My reasoning was
from first principles (i.e. I drew a diagram comparing path lengths
and light travel time for two slightly displaced paths and used the
definition of index of refraction [and I am capable of deriving rough
values for n by calculating resonances of electrons when excited by
light]). Tim quotes an introductory physics text which only gives the
result for a special case. More on this at the end.
: Michael Friedman could not *possibly* have seen Cuba from Key
: West. Mr. Carr, Mr. Swan, and others jumping in to attack
: me and defend Mr. Friedman's statement on the grounds that
: refraction makes it possible are all wrong.
I see. Tim is right and we are all wrong. I can think of a few
in my department who will be interested to hear this. Just think
of all the astronomers and planetary scientists who will have to
redo all their life's work because they corrected for refraction
which doesn't exist. On the other hand, there will be no need for
the several lectures of 12.117 which teach refraction, saving many
man-hours of time.
: And I hope this teaches them all a lesson about "seeing
: what they want to see" and believing what they want to
: believe.
: Meanwhile, I have been bombarded with attacks from every
: rightwinger on the Net on every statement I have ever made
: in this newsgroup, or rather a very small subset of the
: statements I have made in this newsgroup.
:
: I cannot possibly respond to all of them.
:
: All I can say is: this particular exchange was one which may
: demonstrate to others on the net just who has credibility and
: who does not.
: Remember it in the future...
I believe so. I suspect that Tim has discredited yourself with anyone
who has any scientific training. Is there anyone in this group who
supports Tim's reasoning on the subject (especially the above nonsense)?
This question is different from the question, "do you believe Mike
Friedman saw Cuba?"
: tim sevener whuts!orb
: see
Tim: have you ever heard of. . . .Calculus? What about limits?
One gets the continuous analog of Snell's law by taking the
infinite limit of a number of thin layers with a finite difference
in index of refraction. The result is that refraction is proportional
to the derivative of n wrt distance.
A challenge to Tim: derive, from first principles, the laws of refraction
in such a way that you can show they do not apply to continuously changing
media. If you do that, I will post the derivation by which I got my
answer. Start at any level you want (if you don't know quantum physics, etc.,
to figure out the index of refraction for materials, you can assume an
index of refraction for air of 1 + rho * 280 / rho(0) x 10^-6).
For a good illustration of this effect, a cover of Scientific American
a few years ago had a picture of a laser beam passing through a tank of
fluid with a strong density gradient. Can anyone provide a reference?
The final proof of refraction by air: look at the air above a road on a
hot day. See the ripples? They are caused by differential refraction.
John Carr "No one wants to make a terrible choice
j...@Athena.MIT.EDU On the price of being free"
--Neil Peart
Feh. Sevener clearly shows a complete lack of understanding of
refraction, whether it be real or affected I leave to the net.
Let me provide a couple of counter-quotes that were written long
before Sevener graced this world with his presence, to wit, from
"Elementary Optics and Applications to Fire Control Instruments",
written in 1921 under the direction of the Chief of Ordnance. This
little tome was still in use in WWII - and you can be certain its
contents aren't politically oriented; unlike the views of one 20th
century nation and one certain net.personality, physics is not a
political expression ("Reaganistas", indeed!).
pg 8: "The index of refraction of any substance with respect to a
vacuum is termed the 'absolute index'."
Please note that the index of refraction does not require an
interface to a vacuum, or to any other medium. It is inherent.
p13: "If we have a single medium in which the index of refraction
changes gradually as the ray proceeds from, point to point, the
course of the ray will change gradually and will be a curved
rather than a straight line. Accordingly, the commonly made
statement that light travels in a straight line is incorrect
unless the path is restricted to a homogenous medium."
I know this hard to understand, Tim, but it is absolutely essential
to grasp this concept in order to understand John Carr's proof that
light refracts in a way as to make it possible to see Cuba from Key
West. To resume, (and pay attention):
"The importance of this lies in the fact that air is not homogenous
but departs from homogeneity to such an extent arising therefrom
must be taken into account in all precise levelling or operations
of a similar nature."
p14: "The index of refraction of the air is influenced by its density,
which varies with height, temperature, and amount of water vapor
present. The result is that a ray of light traveling through the
air does not in general follow a straight line but is refracted
and follows a curved path."
Please note this, Tim. It means that one's vision extends beyond what
you would get with a childishly simplistic "light travels in straight
lines" calculation, which you have insisted on and even claimed that
an encyclopedia supported your calculations. In your very own words:
> My calculations are backed by the Columbia Encyclopedia,
Which is hard to believe.
(By the way, Darren Leigh has denied your statement claiming that he
provided the reference - where's your reply? Could it be that you are
more dishonest than Michael Friedman, who you called a "blatantly lying"
"pathological liar"? Darren Leigh has demanded an apology. Where is it?)
>Which leads back to my original point:
>Michael Friedman could not *possibly* have seen Cuba from Key
>West. Mr. Carr, Mr. Swan, and others jumping in to attack
>me and defend Mr. Friedman's statement on the grounds that
>refraction makes it possible are all wrong.
Tim Sevener still has to show us why.
>And I hope this teaches them all a lesson about "seeing
>what they want to see" and believing what they want to
>believe.
... I'm sorry, it took me a couple minutes to stop laughing. This is
rich! Tim, you should've been a stand-up comic! Imagine: Tim Sevener
standing up there deadpanning "And I hope this teaches them all a
lesson.."!!!
>Meanwhile, I have been bombarded with attacks from every
>rightwinger on the Net on every statement I have ever made
>in this newsgroup, or rather a very small subset of the
>statements I have made in this newsgroup.
>
>I cannot possibly respond to all of them.
Ah ha! The old "I can't possibly pay therefore you can't find me guilty"
defense. Poor Timmie! He has posted misquotes, he has wrongly savaged
others on the net, has ignored requests for support for his unsupportable
assertion, and now he says "I cannot possibly respond to all of them."
There is another word for this kind of behaviour. Tim has effectively
declared that he is bankrupt. You guess what kind.
>All I can say is: this particular exchange was one which may
>demonstrate to others on the net just who has credibility and
>who does not.
>Remember it in the future...
>tim sevener whuts!orb
Oh, we will, Tim, You bet we will.
Now:
How about an apology, and I mean a *real* apology to Michael Friedman
for calling him a "blatantly lying" "pathological liar" suffering from
"paranoid delusions"?
How about an apology to Michael Friedman for that piece of sleaze you
posted, calling it an apology?
How about an apology to Michael Friedman for your attempt to imply that
he was claiming to present the official position of MIT?
How about addressing Darren Leigh's claim that you falsely attributed
the Columbia Encyclopedia quote to him, when he never mentioned it and
says, as a matter of fact, that he has never even seen that encyclopedia.
How about telling us why you never responded when I asked for support
for your claim that the Glock-17 (a "plastic" gun, but 80% metal) could
be easily disguised from airport X-ray machines?
How about addressing JanW's complaint that you have fraudulantly misquoted
him, and not just once?
How about an apology to Michael Friedman for your series of vituperative
articles about Figueres, claiming, that Friedman is, as he said in his
complaint "a liar, a cheat, and a scoundrel". Remember, when he looked up
support for his statements and posted them, (quoting again) "I didn't hear
a peep from you. Not even a private letter acknowleging you were wrong."
How about an answer to Nat Howard <in 5771>? You never responded to him.
Does this mean you support his position? You responded to part of his
article, you had to have read it, - why not respond to the rest?
Timothy J. Sevener, you have spent your credibility quite freely and the
bills are now overdue. Pay up or declare yourself bankrupt.
--
William Swan {ihnp4,decvax,allegra,...}!uw-beaver!tikal!sigma!bill
"Say NO to NoRM!" - Republicans Against Maleng As Governor
Which has nothing to do with the issue involved here.
We are not talking about an astronomical object - we are
not talking about a transition from SeaLevel air density to a
practical vacumn. We are talking about a tangent line of
sight which at the *maximum* is 2059 feet high out of an atmosphere
180 miles thick.
This is *not* the same as the case of the Sun which is 93 million
miles away.
Now let's talk about the actual atmospheric densities at
Sea-Level versus 2059 feet versus the upper atmosphere.
According to the Encyclopedia of Atmospheric Science and
Astrogeology (p. 781) here are some standard pressures for
values of concern here:
height pressure refractive index
Sea Level 29.92 inches 1.00029
3000 feet 26.81 inches ??
18000 feet 14.94 inches ??
(mine) Space ~0 inches ~1.00000
What is the refractive index for air pressure of 29.92 inches
compared to the refractive index for air pressure of 26.81
inches?
I could not find the refractive index for air pressure of
26.81 inches. I *could* find the refractive index for air
pressure at Sea Level, i.e. 29.92 inches. That turns out
to be the very small value of 1.00029. This is compared
to a refractive index of 1.33 for water, and of course,
1.0000 (the standard of measurement) for a perfect vacumn.
(New Columbia Encyclopedia, p.2294)
Even if we assume some exponential relation between air
pressure and the refractive index, we are talking about a
very *small* difference here. A crude extrapolation would
be we are talking about a refraction index of 1.00015.
But we don't even have to get into that to prove John Carr's
figures are totally off. And we don't need calculus or
differential equations or anything else to prove him wrong.
All that is needed is simple geometry,trigononmetry and logic.
To make Carr's case the strongest possible, suppose we
take his figure for the refraction of the Sun, to wit:
>In article <32...@bloom-beacon.MIT.EDU> j...@athena.mit.edu (me) writes:
JFC : The amount of refraction depends strongly on atmospheric conditions.
JFC : The only figure I know is the apparent displacement of (for example)
JFC : the Sun on the horizon. This is .5 degrees
This is the absolute *maximum* refraction that is possible.
All this means is that whereas in my original calculations
I took the cos of 1 degree and divided the radius of the Earth
to obtain the height of the horizon line.
Under the best scenario then instead we take the cos of .5 degree
which is .99996, then divide the radius of the Earth by that
value to obtain the total height we get:
3963.2/.99996 = 3963.36
The height of this line, accounting for a refraction displacement
of .5 degrees will then be:
3963.36 (height of line of sight with .5 degree refraction)
-3963.20 (radius of the Earth)
--------
.16 miles * 5280 feet/mile = 844.8 feet
And again, we find that this is unequivocally *higher* than
the highest point in Cuba within 90 miles of Key West which is
344 feet high.
Of course this is accepting John Carr's figure of 0.5 degrees
displacement for the Sun on the horizon which is an *overestimate*
for something less than 3000 feet high.
You are wrong, wrong, wrong, Mr. Carr. Mr. Swan and the whole
bunch of you.
Ask any of your Physics professors about it John.
tim sevener whuts!orb
Sundry calculations and noises deleted.
For reasons that escape me, some person claimed to have seen Cuba from
a Florida key, and Mr. Sevener find this claim to be politically repre-
hensible and in fact false, since, according to Mr. Sevener, this is
physically impossible.
I do not know whether the person in question actually saw Cuba or whether
the local atmospheric conditions are right for this. However, in fact,
sightings at distances greater than 90 miles across level ground are
common and well known. Some, in Northern Africa, are stable situtations
that have been seen since classical times. There is no a priori reason
that X could not have seen Cuba.
Followups have been directed to talk.politics.misc only, since I have
seen precious little science in this discussion.
--
In the fields of Hell where the grass grows high
Are the graves of dreams allowed to die.
Richard Harter, SMDS Inc.
I will refute this latest article if *anyone other than Tim* expresses any
doubt about his errors. Else, I'll assume we all see his mistakes.
My challenge to Tim still stands.
Tim: I learned much of this from my professors, there is no need to ask
them and involve them in this discussion. I will post a more detailed
derivation when the above condition is met: someone else is not convinced
that you are wrong. What was your major? I am majoring in Aerospace
Engineering and Planetary Science (which includes astronomy) (I am a double
major: those are two seperate fields). I think I am in a position to make
statements on subjects such as refraction.
Can you say "inversion", I knew you could. A well known atmosphereic
effect, see numerous past articles in Scientific American.
Lee
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
|Lee F. Mellinger Jet Propulsion Laboratory - NASA|
|4800 Oak Grove Drive, Pasadena, CA 91109 818/393-0516 FTS 977-0516 |
|-------------------------------------------------------------------------|
|UUCP: {ames!cit-vax,psivax}!elroy!jpl-devvax!jplpro!leem |
|ARPA: jplpro!leem!@cit-vax.ARPA -or- le...@jplpro.JPL.NASA.GOV |
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
I don't care what your major is - your scientific reasoning is totally
wrong.
Once again to repeat some major points of this argument so far:
1)Michael Friedman claimed to "see" Cuba while standing on the
shore on Key West.
2)I pointed out that:
a)I, my roommate and others have been to Key West, the shores of Lake
Michigan and other such bodies of water and never been able to see
the opposing shore.
I asked if anybody could testify to being at Key West and been able
to see Cuba.
Nobody, outside of Michael Friedman, has personally testified to
being able to see Cuba from Key West.
b)I also pointed out that it was *physically impossible* to see
Cuba from Key West, given the curvature of the Earth.
The highest point anywhere close to the 90 mile point from Key
West on Cuba is 344 feet. The height of the tangent line of
sight from Key West to a point 90 miles away is 2059 feet.
I.e. there is a difference of *1700* feet between the tangent
line of sight and the highest point in Cuba close to 90 miles
from Key West.
I asked if there were errors in my calculations.
Nobody has found any yet.
Even John Carr admits they are correct.
c)John Carr, however, claimed that based on his knowledge of refraction
from his Astronomy classes, that the light from the Sun was refracted
0.5 degrees. Mr. Carr claimed that since the light from Cuba to Key West
was being refracted through sea-level density atmosphere that it
should *also* refract that light by values similar to that for the
Sun and other astronomical objects.
d)I pointed out that this was a totally erroneous view of refraction.
Refraction *only* occurs in a *non*uniform medium or when going from
one uniform medium to another.
I provided quotes from Leon N. Cooper's "An Introduction to the
Meaning and Structure of Physics" to back up this point about
refraction.
To the extent that a medium such as a gas varies continuously in
one direction, i.e. decreased density as one leaves Earth, then
to that extent it will be continously refracted.
On the other hand, to the extent a medium is *uniform*, then light
will not be refracted *one iota*.
I further pointed out that the actual difference in atmospheric
pressure between sealevel air and air at 3000 ft is 29.92 inches
vs 26.81 inches according to the Encyclopedia of Atmospheric
Sciences and Astrogeology(p.781-783).
I would argue this is far closer to being a *uniform* medium
than a nonuniform medium.
Mr. Carr continues to insult my scientific understanding of
refraction. I would say his argument is not with me but with Leon
Cooper, the authors of the Physics Encyclopedia and other sources
which all give exactly the same view of refraction as something
which only occurs either in shifts of medium or *non*uniform
media.
e)Just to give Mr. Carr's hypothesis the greatest benefit of the
doubt I calculated the distance from the Earth of a tangent line
of 0.5 degrees instead of 1 degree as in my original calculation.
I.e. assuming the *total* refraction Mr. Carr himself states for
the Sun. (actually according to the Physics Encyclopedia the value
is 35 minutes. Only 5 minutes different than 0.5 degrees. For once,
John Carr has something right even if he fails to understand why)
That distance comes out to be 844.8 feet.
A difference of *500* feet from the highest point close to 90
miles from Key West of 344 feet!
I.e. even *IF* light from Cuba were refracted to the same extent
as light from the Sun (which it is *NOT*!), it is *still*
impossible to see Cuba from Key West.
f)Finally, it turns out that the Physics Encyclopedia says that
changes in the index of refraction of a gas are *proportional*
to the density of the gas. This would mean the index of
refraction at 3000 feet can be derived as follows:
index of refraction at 3000 feet = 1 + (26.81/29.92 * .000293)
= 1.000263
Thus the index of refraction at sea-level is 1.000293 and at 3000 ft
is 1.000263. I.e. .00003 different!
I would call that basically a uniform medium as far as refraction
is concerned!
Here is the way I would evaluate the situation:
1)Michael Friedman was wrong to claim he could see Cuba from Key West.
It is physically impossible, even with refraction.
Of course neither Friedman, Carr, Swan, et al are willing to concede
this point, although I have provided references and respected sources
for every step of my argument
2)John Carr was wrong to claim refraction from Key West to Cuba is
the same as that from Key West to the Sun because of the distance
the light travels in sea-level density air.
I was also wrong to make any argument based on similar reasoning
such as my argument that the Sun was further away.
Both arguments have nothing to do with *refraction* which *only occurs*
from a *change* in medium, whether it's a change in gaseous density
or change in substance from air to water, air to glass, air to vacumn,
etc.
Mr. Carr is still unwilling to concede he was wrong on this point.
Instead he insults my scientific understanding even when I have
posted direct quotes from basic physic textbooks to support my
point.
3)Even if John Carr were right to argue that the index of refraction
between an atmospheric density of 26.81 inches and 29.92 inches
is the same as that between 29.92 inches and 0 inches, he is
*still* wrong in contending that a refraction of 0.5 degrees would
make Cuba visible from Key West.
In fact, even with a refraction of 0.5 degrees the highest point
in Cuba of 344 feet is still 500 feet below the tangent line
of sight *with refraction*'s height of 844.8 feet.
4)This whole incredibly boring and senseless argument is simply typical
of the argument style of Mr. Carr, Mr. Friedman, et al.
When caught flat-out wrong, Mr. Friedman resorted to all manner
of obfuscating dodges - "I was on a 15 foot jetty"
"a difference between .99980 and .99989 could be siignificant",
"Refraction makes it possible", "ad nauseum, ad infinitum".
Mr. Friedman never even bothered to calculate if a 15 ft jetty,
difference in the 100,000th decimal place or refraction makes
a bit of difference. *I* had to calculate and show such things
were totally insignificant.
Mr. Carr posted elaborate calculations based on a total misapprehension
of what refraction is, and insulted my scientific understanding for
quoting from an elementary college physics textbook to show he
should know better.
I have provided references to every one of my points.
Let Mr. Carr debate the authors of those references.
To wit:
References
Rand-McNally World Atlas for highest points in Cuba, radius of
the Earth
"An Introduction to the Meaning and Structure of Physics" by Leon
N. Cooper for the definition of refraction.
Also for meaning of refraction, "New Columbia Encyclopedia", and
"Physics Encyclopedia"
"Encyclopedia of Atmospheric Sciences and Astrogeology" for
atmospheric density at 3000 ft versus sea-level
"Physics Encyclopedia" for the fact that refractivity of a gas
is proportional to density, for the index of refraction of
1.000293 at sea-level and for the value of 35 minutes for
total refractive displacement of the sun's light on the
horizon
tim sevener whuts!orb
1. You are wrong.
2. EVERYONE else in this newsgroup is a member of a right-wing conspiracy,
and therefore you are the only one who has any idea what he is talking
about. Else, why hasn't anyone supported you and why have so many
said you are wrong?
In article <39...@whuts.UUCP> o...@whuts.UUCP (45263-SEVENER,T.J.) writes:
>In article <36...@bloom-beacon.MIT.EDU> j...@athena.mit.edu (John F Carr) writes:
:I don't care what your major is - your scientific reasoning is totally
:wrong.
I will join with the majority in making this accusation of you.
:Once again to repeat some major points of this argument so far:
:
:1)Michael Friedman claimed to "see" Cuba while standing on the
: shore on Key West.
He claimed to see it, not "see" it.
:2)I pointed out that:
First, you pointed out that Mike Friedman was lying and it was totally
impossible. Since you accuse him of lying rather than being mistaken
you must prove that he KNEW he was not seeing Cuba. You have never done
this.
: a)I, my roommate and others have been to Key West, the shores of Lake
: Michigan and other such bodies of water and never been able to see
: the opposing shore.
So what? This is not proof that it is impossible under all conditions.
: I asked if anybody could testify to being at Key West and been able
: to see Cuba.
: Nobody, outside of Michael Friedman, has personally testified to
: being able to see Cuba from Key West.
At least two articles mentioned friends who had.
: b)I also pointed out that it was *physically impossible* to see
: Cuba from Key West, given the curvature of the Earth.
: The highest point anywhere close to the 90 mile point from Key
: West on Cuba is 344 feet. The height of the tangent line of
: sight from Key West to a point 90 miles away is 2059 feet.
: I.e. there is a difference of *1700* feet between the tangent
: line of sight and the highest point in Cuba close to 90 miles
: from Key West.
: I asked if there were errors in my calculations.
: Nobody has found any yet.
: Even John Carr admits they are correct.
I say they are correct but not complete. Therefore, they are not the proof
you must provide.
: c)John Carr, however, claimed that based on his knowledge of refraction
: from his Astronomy classes, that the light from the Sun was refracted
: 0.5 degrees. Mr. Carr claimed that since the light from Cuba to Key West
: was being refracted through sea-level density atmosphere that it
: should *also* refract that light by values similar to that for the
: Sun and other astronomical objects.
I claimed that since the light from Cuba passed through a comparable
distance (I assumed, and later proved, that the distance is half as much as
sunlight passes through) it would be refracted similarly.
: d)I pointed out that this was a totally erroneous view of refraction.
: Refraction *only* occurs in a *non*uniform medium or when going from
: one uniform medium to another.
Exactly. You must have read the article I posted, since this is not your
earlier claim. And, it proves my point since air is not a uniform medium
(which you finally admitted in your last article).
: I provided quotes from Leon N. Cooper's "An Introduction to the
: Meaning and Structure of Physics" to back up this point about
: refraction.
Which quotes were irrelevant and, in one case, wrong (in stating that
index of refraction is only defined at an interface between two
different materials).
: To the extent that a medium such as a gas varies continuously in
: one direction, i.e. decreased density as one leaves Earth, then
: to that extent it will be continously refracted.
True.
: On the other hand, to the extent a medium is *uniform*, then light
: will not be refracted *one iota*.
No. A medium is or is not uniform. Close doesn't count. Air is not uniform,
so no further discussion of uniform media is relevant.
Also, light in a uniform medium is still bent by gravity (as Einstein and
others have proved). (I leave it to the reader to decide if this effect
is worth considering).
: I further pointed out that the actual difference in atmospheric
: pressure between sealevel air and air at 3000 ft is 29.92 inches
: vs 26.81 inches according to the Encyclopedia of Atmospheric
: Sciences and Astrogeology(p.781-783).
: I would argue this is far closer to being a *uniform* medium
: than a nonuniform medium.
No. NO. no.
Ho many ways can I say it? This is the flaw.
I proved that the small gradient of the index of refraction is enough,
when taken over long distances. Close to uniform doesn't count.
: Mr. Carr continues to insult my scientific understanding of
: refraction.
Or lack thereof.
: I would say his argument is not with me but with Leon
: Cooper, the authors of the Physics Encyclopedia and other sources
: which all give exactly the same view of refraction as something
: which only occurs either in shifts of medium or *non*uniform
: media.
Air is non-uniform. For most purposes the change in density is not
important, but it can not be wished away by saying air is uniform.
: e)Just to give Mr. Carr's hypothesis the greatest benefit of the
: doubt I calculated the distance from the Earth of a tangent line
: of 0.5 degrees instead of 1 degree as in my original calculation.
: I.e. assuming the *total* refraction Mr. Carr himself states for
: the Sun. (actually according to the Physics Encyclopedia the value
: is 35 minutes. Only 5 minutes different than 0.5 degrees. For once,
: John Carr has something right even if he fails to understand why)
: That distance comes out to be 844.8 feet.
: A difference of *500* feet from the highest point close to 90
: miles from Key West of 344 feet!
: I.e. even *IF* light from Cuba were refracted to the same extent
: as light from the Sun (which it is *NOT*!), it is *still*
: impossible to see Cuba from Key West.
You mean after all this discussion you still assumed the light traveled
in a straight line? It doesn't, so your geometric construction is
invalid. I included this in my article which you seem not to have read
very carefully.
: f)Finally, it turns out that the Physics Encyclopedia says that
: changes in the index of refraction of a gas are *proportional*
: to the density of the gas. This would mean the index of
: refraction at 3000 feet can be derived as follows:
:
: index of refraction at 3000 feet = 1 + (26.81/29.92 * .000293)
:
: = 1.000263
:
: Thus the index of refraction at sea-level is 1.000293 and at 3000 ft
: is 1.000263. I.e. .00003 different!
: I would call that basically a uniform medium as far as refraction
: is concerned!
I wouldn't. You just admitted that light is refracted, now you deny it?
Remember: I proved the amount by which light is recfracted, you cannot
simply say the atmosphere is close to uniform. Do the calculations and
you will see.
:Here is the way I would evaluate the situation:
:1)Michael Friedman was wrong to claim he could see Cuba from Key West.
The burden of proof is on you.
: It is physically impossible, even with refraction.
I have shown it is not impossible under all conditions, which is sufficient
defence.
: Of course neither Friedman, Carr, Swan, et al are willing to concede
: this point, although I have provided references and respected sources
: for every step of my argument
So have I. The difference is, my calculations and references are relevant.
:2)John Carr was wrong to claim refraction from Key West to Cuba is
: the same as that from Key West to the Sun because of the distance
: the light travels in sea-level density air.
I didn't: I claimed it was half this much. I then proved it was.
: I was also wrong to make any argument based on similar reasoning
: such as my argument that the Sun was further away.
: Both arguments have nothing to do with *refraction* which *only occurs*
: from a *change* in medium, whether it's a change in gaseous density
: or change in substance from air to water, air to glass, air to vacumn,
: etc.
: Mr. Carr is still unwilling to concede he was wrong on this point.
My original statement on this subject was correct.
: Instead he insults my scientific understanding even when I have
^^^^^^^^^^^^^^^^^^^^^^^
(I take a short pause to laugh at this.)
: posted direct quotes from basic physic textbooks to support my
: point.
:3)Even if John Carr were right to argue that the index of refraction
: between an atmospheric density of 26.81 inches and 29.92 inches
: is the same as that between 29.92 inches and 0 inches, he is
Which I did not...
: *still* wrong in contending that a refraction of 0.5 degrees would
: make Cuba visible from Key West.
I say again (is there an echo?): light does not travel in straight lines.
: In fact, even with a refraction of 0.5 degrees the highest point
: in Cuba of 344 feet is still 500 feet below the tangent line
: of sight *with refraction*'s height of 844.8 feet.
:4)This whole incredibly boring and senseless argument is simply typical
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
I said this first, in the first article to have this subject line.
You chose to continue.
: of the argument style of Mr. Carr, Mr. Friedman, et al.
: When caught flat-out wrong, Mr. Friedman resorted to all manner
^^^^^^^^^^^^^^^^^^^^^^^^^^^
When caught flat-out wrong Tim kept "modifying his position" to avoid
admitting his mistakes. When I PROVED he was wrong, he still would not
admit it. When others proved him wrong and quoted sources, he continued
to hold ideology above the truth. When I cross posted articles from
sci.misc, he ignored them. When no one else on the net would associate
themselves with his arguments, he claimed a conspiracy against him.
: Mr. Carr posted elaborate calculations based on a total misapprehension
^^^^^^^^^^^^^^^
: of what refraction is, and insulted my scientific understanding for
^^^^^^^^^^^^^^^^^^
Please enlighten me then. You seem to have finally agreed to most of my
claims.
: quoting from an elementary college physics textbook to show he
^^^^^^^^^^^^^^^^^^^^^^^^^^^
Elementary physics courses don't cover continuous refraction.
: should know better.
: I have provided references to every one of my points.
: Let Mr. Carr debate the authors of those references.
: To wit:
:
:References
:Rand-McNally World Atlas for highest points in Cuba, radius of
:the Earth
I have assumed your geographic figures are correct. Judging by your
performance quoting other sources it would not surprise me if they
were not.
:"An Introduction to the Meaning and Structure of Physics" by Leon
:N. Cooper for the definition of refraction.
I have described how this was irrelevant or wrong (most likely the
author understands refraction; but he uses non-standard definitions
which fail when Tim tries to extend them beyond the limits of the
book.)
:Also for meaning of refraction, "New Columbia Encyclopedia", and
:"Physics Encyclopedia"
:
:"Encyclopedia of Atmospheric Sciences and Astrogeology" for
:atmospheric density at 3000 ft versus sea-level
:"Physics Encyclopedia" for the fact that refractivity of a gas
:is proportional to density, for the index of refraction of
:1.000293 at sea-level and for the value of 35 minutes for
:total refractive displacement of the sun's light on the
:horizon
These numbers are the same ones I used, within reasonable margins.
Have you read the sources which others have quoted? (such as Scientific
American)
Tim: Don't throw sources at me which do not discuss the specific effect
in question. Read the article in which I derived the refraction of
a light ray from Cuba. Then repost it showing exactly where I made
an error. (hint: there is one mistake in it which does not affect
in any way the validity of the calculation, if you had looked at the
article carefully you should have caught it. At least one other person
pointed it out to me in an email message.)
While you are trying to disprove my calculations, you will find it necessary
for proof of your claim to also show that there are never temperature
inversions in that area (since these would increases refraction).
... Much material deleted ...
> I further pointed out that the actual difference in atmospheric
> pressure between sealevel air and air at 3000 ft is 29.92 inches
> vs 26.81 inches according to the Encyclopedia of Atmospheric
> Sciences and Astrogeology(p.781-783).
> I would argue this is far closer to being a *uniform* medium
> than a nonuniform medium.
This is the fundamental error in Mr. Sevener's discussion.
These are the *average* atmospheric pressures. Air density varies
quite a bit from average. The highest and lowest recorded sea level
densities are 31.75 inches are 26.18 inches respectively. Normal
refraction at sea level is about 1/6 the curvature of the Earth.
In temperature inversions (cold dense air close to the Earth,
hot thin air above the cold layer), the refraction is much greater.
Under unusual conditions at sea an object below the horizon can
actually appear to be floating in the sky (looming).
IT is quite possible to see things more than 90 miles
away along sea level under the right atmospheric conditions. However,
as someone else as noted, what one is much more likely to see is an
island cloud bank rather than an island.
Finally, much of the deleted material is not of scientific
interest, except perhaps to psychiatrists. Could we leave the personal
flaming to the politics subgroup.
. Both arguments have nothing to do with *refraction* which *only occurs*
. from a *change* in medium, whether it's a change in gaseous density
. or change in substance from air to water, air to glass, air to vacumn,
. etc.
I notice that your references contain nothing on meterology. Perhaps this
is a cause of your misunderstanding?
While refraction occurs only in a non-uniform medium, a large number
of people would contend that the atmosphere is not such a media.
Thousands of meterologist, for instance. Anybody that observes things
through an atmosphere, and not straight up. As evidence to this
non-uniformity, go outside and look at a hot road. Do you "see" a
"puddle of water" (or in memory, have you?)? When you get there, it is
gone, yes? (ok, sometimes it really is a puddle, I mean besides those!)
What you see there is the sky! We have here light refracted dozens of degrees
in just a few feet of air! And the atmosphere changes radically due to
temperature (note: Cuba is _VERY_ warm, I have seen 106, water temp in 80's.
This is a good gradient) and humidity (100% on water surface, less on
up. Entire area is muggy, though).
Are you sufficiently closed minded that you cannot admit there are
things about which you do not know, or sufficiently prideful that
you cannot "back out"?
Disclaimer: Individuals have opinions, organizations have policy.
Therefore, these opinions are mine and not any organizations!
Q.E.D.
j...@aplvax.jhuapl.edu 128.244.65.5
The appropriate line for this discussion seems to be :
There are more things in Heavev and Earth, Tim Sevener,
than dreamed of in your, well, frosh physics book, anyway.
--
Dennis O'Connor oconnor%sun...@steinmetz.UUCP ARPA: OCON...@ge-crd.arpa
( I wish I could be civil all the time, like Eugene Miya )
(-: The Few, The Proud, The Architects of the RPM40 40MIPS CMOS Micro :-)
The superior image is convex upward and results from temperature
inversions. These are most prevalent at sea with warm air overrunning
colder water. Under special conditions the ray may be trapped in a
relatively shallow layer. Where this occurs, or when the curvature of
the ray is close enough to that of the earth, very distant objects are
seen well beyond the horizon and may appear deceptively close.
Unfortunately, the encyclopaedia does not say how far 'very distant'
is. I think, however, that it is reasonable to assume that 90 miles is
well within that range.
PS. Warm air overrunning colder water is almost certainly the
situation in the Florida Keys.
These are the official opinions Mike Friedman
of my organization. So, TOUGH!!
Someone else brought this up, but I thought it was obvious
to most people here that this isn't going to happen over
the water between Key West and Cuba. John Carr threw in a
snide comment about temperature inversion. Everybody
has seen the shimmering "pools of water" on a hot road
in the summer. A "hot road," that is. In fact, the road
surface has to be hotter than the air above it for this
to happen. Would Mr. Carr please smugly explain how the
water surface is going to be significantly hotter than
the air above it on a nice day in Florida (not over the
Gulf Stream either)?
Temperature inversions are significantly influenced by
the local geography. A nice flat sea isn't going to
do much for you.
--
John "I can't even see Cape May NJ from the ferry dock at Lewes across
the Delaware Bay" Berryhill
>>Tim Sevener needs to do some research on MIRAGES. Mirages
: Someone else brought this up, but I thought it was obvious
: to most people here that this isn't going to happen over
: the water between Key West and Cuba. John Carr threw in a
: snide comment about temperature inversion. Everybody
: has seen the shimmering "pools of water" on a hot road
: in the summer. A "hot road," that is. In fact, the road
: surface has to be hotter than the air above it for this
: to happen. Would Mr. Carr please smugly explain how the
: water surface is going to be significantly hotter than
: the air above it on a nice day in Florida (not over the
: Gulf Stream either)?
:
: Temperature inversions are significantly influenced by
: the local geography. A nice flat sea isn't going to
: do much for you.
It should be obvious: a hot road, hotter than the air, creates a layer
of hot air which reflects light coming from above. A body of relatively
cold water creates a layer of cooler air, which refracts light down (that
is, makes the source appear higher). Opposite temperature gradient,
opposite effect. Refraction is increased if, as you say, the water is
cooler.
The air temperature in Florida does at times get hotter than water
temperature. That will create a temperature inversion, but I don't
know how big. Since no one has posted any specific numbers on this,
I assume no one else does either. And that is the whole point of my
argument: it has not been proved that it is impossible to see Cuba from
Key West.
John Carr "No one wants to make a terrible choice
I'm bored with this conversation, bored bored bored bored bored bored
bored bored bored bored bored. Do I have to repeat myself? OK, bored
board...oh, alright, I'm not going to stoop to that level. But it
really is generating like a dozen or two dozen messages per day for
weeks. Bored, bored, bored,...uh, there I go again...
"If I have seen a little farther than my predecessors
it is because I have stood on the shoulders of giants"
(close, Sir Isaac Newton I believe)
"History repeats itself,
historians repeat themselves"
-Lord Nose
"Sit quietly and people may think you a fool,
open your mouth and you will erase all doubt."
-Sum Wag
"It doesn't matter what they say kid,
just so long as they spell your name right"
-Someone to Ruby Keeler in "A Star is Born"
"Wait, just one more time, what are you afraid of?"
-William Shatner, Original Twilight Zone Episode
-B
It was when I was there (between Cuba & US):
Water temp low 80's, air temp low 90's.
Not all that much diff, though. In winter it is probably
a different story. When was this sighting suppose to
take place?
Correct. To see pools of water the road must be hotter than the air.
In the pools of water mirage, objects are seen lower than they
"deserve" to be seen, so you see sky beneath the road surface [which
you perceive as pools of water].
For Friedman to have seen Cuba, i think we all agree that light must
be refracted so things are seen higher than they deserve to be, ie.,
above the horizon rather than below. For this to happen air aloft
must be warmer than air near the surface.
This is what an inversion is. [usually air gets colder as you ascend,
at a rate i believe is called the "lapse rate"; a few deg F. per
thousand feet]. This is also quite possible over the ocean, if the
air above it has any light absorption power at all or if warm air
blows in from Florida or Cuba or the gulf of Mexico [but this last
might be humid enough to raise clouds].
Just a question. Why are we doing this? We all agree that Friedman
could have seen clouds over Cuba - they only need to be at 2000 feet,
which is rather low for clouds. It is of no significance when and
whether it is possible to see Cuba from the Keys; the question we need
to ask is whether Friedman was deluding himself, and i think we can
all conclude otherwise.
>
> Temperature inversions are significantly influenced by
> the local geography. A nice flat sea isn't going to
> do much for you.
>
> --
> John "I can't even see Cape May NJ from the ferry dock at Lewes across
> the Delaware Bay" Berryhill
-dk
Sevener never ceases to astound me.
John Carr *never* argued this point, and would be foolish to. It is entirely
and absolutely wrong, and is not really too far from the way Sevener tried
to smear Friedman by implying that Friedman claimed to represent the official
opinions of MIT (we never saw an apology for this, by the way, even though
one has been called for).
This kind of tactic is fundamentally dishonest, even though it leaves Sevener
the "out" of saying that he never *said* that Carr argued this. It is a
deliberate attempt to make the opponent out to be a fool, or stupid, and is
the last resort of a dishonest debater who has found himself in the wrong.
No doubt, if this had not been responded to, we would have seen references
to it in later Sevener postings.
Also, as I pointed out in my preceding posting, Sevener's assumptions in
this calculation of the necessary degree of refraction are incorrect.
Yes, there are atmospheric anomalies.
So what?
How many of you have ever lived near a fairly large body of water?
Such as the Chesapeake Bay, any of the Great Lakes, or an Ocean
coast.
Could you see the other side?
No.
How many of you have been to Key West?
Please tap your keyboards.
How many of you could see anything besides the horizon?
Right.
None.
Except the Reaganistas like Michael Friedman....
I have already proven that under ordinary conditions it
is *impossible* to see Cuba from Key West.
Is there anything to make us believe that Mr. Friedman's
alleged "sight" of Cuba was under anything other than
ordinary conditions? Absolutely not.
It was a clear, sunny day he said.
Thermal inversions tend to occur, to my knowledge, in places like
Denver near the mountains, Los Angeles, near the mountains,
and so forth.
What are the chances for a thermal inversion near Cuba?
I doubt it is very likely under a clear, sunny high-pressure
system.
I am perfectly willing to admit to things I do not know when
evidence is presented of their relevance. I see nothing
so far to merit such relevance or consideration. I have
lived close to large bodies of water for much of my life.
My direct personal experience is that all I, with 20-20
vision (which Mr. Friedman does *not* have) was able to
see was the horizon. Period.
Who knows, if one wants to count Mirages, bizarre atmospheric
conditions and everything else as "evidence" then perhaps
Mr. Friedman saw a hologram of Cuba projected by those
awful Commies to instill mindnumbing fear in all Americans :-)
tim sevener whuts!orb
Of course.
And that is the marvel of the Friedman/Carr/Reaganistas technique
of disinformation.
Take a point that is perfectly obvious to anyone with an ounce
of common sense - like anyone who's lived by a largish body
of water knows you can't see the other side - and just
throw absurd speculations at it, pseudoscientific statements
until one becomes bored of the tedium of a response.
Throw in these rampant speculations with no basis with
absolutely no calculations of their absolute import and
then let your opponent *disprove* your disinformation.
Wonderful for Friedman/Carr/et al.
A lot of work for the person shooting down the disinformation.
And of course, by now, who gives a damn?
Enough mud is thrown in the waters that most people, even
over something which should be as clear as this, simply throw
up their hands and give up, or find following these tedious
arguments over mundane and totally stupid points so boring
they give up.
So the disinformation wins....
And the Reaganistas continue to say they are infallible....
tim sevener whuts!orb
Who needs deliberate attempts? Is it not a well documented fact that
they are stupid fools?
I know you are but what am I?
I know you are but what am I?
I know you are but what am I?
I know you are but what am I?
I know you are but what am I?
I know you are but what am I?
Joey Bigelow, a Brooklyn boy at heart.
>How many of you have ever lived near a fairly large body of water?
>Such as the Chesapeake Bay, any of the Great Lakes, or an Ocean
>coast.
Me. For a few decades. As well as spending (too) much time out in it.
>Could you see the other side?
Not of the Atlantic Ocean. Pacific is tough to see across, too.
Most of the time I was below decks, in CIC, so I didn't spend a lot
of time eyeballing. I did get a bunch (translation: a large number) of
radar ranges at WAY past the horizon. Equally impossible without
rafraction. Electromagnetic radiation and such. And I KNEW the
ranges there, as well as the (expected) optical horizon.
>How many of you have been to Key West?
>Please tap your keyboards.
Does in the water between the two count? If so,
tap tap tap tap
>How many of you could see anything besides the horizon?
>
>Right.
>None.
>Except the Reaganistas like Michael Friedman....
Gee. I'm impressed. I didn't know that the optic raytracing
formula had a term for political leanings. Is it before or
after the angle of incidence?
>I have already proven that under ordinary conditions it
>is *impossible* to see Cuba from Key West.
To whom? "impossible" and "ordinary" in same statement?
>Is there anything to make us believe that Mr. Friedman's
>alleged "sight" of Cuba was under anything other than
>ordinary conditions? Absolutely not.
Or that the conditions were ordinary? I missed that, too.
>It was a clear, sunny day he said.
>Thermal inversions tend to occur, to my knowledge, in places like
>Denver near the mountains, Los Angeles, near the mountains,
>and so forth.
Yes. and so forth. Like over water, perhaps?
>What are the chances for a thermal inversion near Cuba?
>I doubt it is very likely under a clear, sunny high-pressure
>system.
When was the atmospheric pressure reported?
>I am perfectly willing to admit to things I do not know when
>evidence is presented of their relevance. I see nothing
>so far to merit such relevance or consideration. I have
>lived close to large bodies of water for much of my life.
>My direct personal experience is that all I, with 20-20
>vision (which Mr. Friedman does *not* have) was able to
>see was the horizon. Period.
1. williingness to admit the unknown is a good sign.
2. excellent choice of words, "merit" ;~)
3. What is Friedman's corrected vision? I must have missed that....
4. And how far away was this horizon, and how do you know?
>Who knows, if one wants to count Mirages, bizarre atmospheric
>conditions and everything else as "evidence" then perhaps
>Mr. Friedman saw a hologram of Cuba projected by those
>awful Commies to instill mindnumbing fear in all Americans :-)
Evidence that the "ordinary" is not the absolute.
Or even the average.... just a mode....
(hologram? Nah. Sun would wash it out. Nice attempt at
diversion and political slamming on your part, though!)
>tim sevener whuts!orb
Sounds good to me! Good sample size ("fair number"), varying conditions
("even on" implies "including less than") identical geology (dirts moves
REAL slow) and no political bias (I guess. Maybe nobody wants to look
at Cuba....)
One experiment beats a thousand good theories! (personal opinion)
Mr. Swan, you never cease to amaze me!
Mr. Carr indubitably stated the following:
1)the total refractive displacement of the Sun on the horizon
was 0.5 degrees. Actually in the Encyclopedias where I looked
this up it was 35 minutes.
So Mr. Carr was neither *wrong* nor *foolish* to argue this
point as it is essentially correct.
You are so #$%^&* that you apparently do not understand that.
Look it up yourself, if you don't believe me.
2)Mr. Carr never calculated what height would be visible from
a refractive displacement of 0.5 degrees over 90 miles.
I did.
I discovered that with a *TOTAL* displacement of 0.5 degrees
one would be able to see a point 844.8 feet high from 90
miles away. This is still 500 feet higher than the 344 ft
"peak" in Cuba which is actually 95-100 miles away.
John Carr instead presented a convoluted series of equations based
on false assumptions which purported to prove that Cuba
could be visible from Key West. Somehow, despite
the fact that astronomy texts list a *TOTAL* displacement
of 0.5 degrees for the Sun, a figure which I proved would
still make Cuba impossible to see from Key West, John Carr's
convoluted equations showed that Cuba "miracule ala Reaganista"!
was visible from Key West.
Mr. Carr then proceeded to justify these astounding results
by pointing out that light in a continuously changing medium
will be refracted continuously rather than at a sharp angle
as in going from air to water or air to vacumn.
A point I never disputed.
Regardless of whether the refractive displacement is continuous
or not, authoritative texts list a *TOTAL* refractive displacement
for the Sun of 0.5 degrees after going from a refractive index
of 1.00293 to 1.000000 and after going through 180 miles of
continuously changing atmospheric density.
There is no way that the total refractive displacement going
the 90 miles from Cuba to Key West with a difference of
0.000030 in refractive indices versus 0.000293 that there
will be more refractive displacement than that viewing the Sun.
I don't expect you to understand that, Mr. Swan.
I am concluding it is hopeless to expect you to understand
anything.
tim sevener whuts!orb
How dare you raise the spectre of *empirical proof*? Aroint thee, varlet!
I propose a simple remedy for the dispute. All talk.politics.misc readers
will contribute $3 toward the cost of airfare from, say, Boston to Miami.
(I, for one, would gladly pay that much to be rid of the foreground noise
about Cuba, and I suspect many others will feel the same.)
The observer should be a disinterested party. Of course, in fairness to the
claims of certain parties, the expedition should take place during a part of
the year when warm, sunny weather creates a favorable climate for temperature
inversions and related phenomena.
I volunteer.
-eck
P.S. For $5.25 we could probably get a package deal including 3 days at
Disney World...but maybe our traveler, having tasted the forbidden fruit
of reality, would linger, lotus-eater-like, never to return to the fantasy
land of talk.politics.misc.
Disclaimer: I lived in Anaheim in 1963.
>Ok you hosers. I have just returned from Key West and I asked a fair number
>of the local people whether you can see Cuba, even on the clearest of days.
>The answer was/is a unanimous NO (maybe from the air, but no chance from land).
Oh well, I guess I didn't really see Cuba. Thanks for checking.
>There used to be a sign there that said "CUBA 90 Mi.", but I think it has been
>taken down.
Any idea why?
(Let's add that I was probably standing next to that sign when I
looked out and saw whatever I thought was Cuba in that general
direction. Although Tim is sure to take this as proof that I was
busily perpetrating a rightwing conspiracy, I hope the rest of the net
will realize I was merely in error.)
--
amlo...@phoenix.princeton.edu ...since 1963.
disclaimer:
These are MY opinions. You only WISH they were yours.
Well, according to the theories of plate tectonics...
:-)
(I didn't mean it, honest, and don't you dare mess with the Followup line!)
>> Any idea why?
>It's moved closer, perhaps? Any comment on the scientific possibility
>of such a move? Tim? Mike? Let's get a discussion going, here.
Mr. Lovell has brought up a very important factor which was ignored in
the discussion about the visibility of Cuba from Florida - continental
drift. In order to prove that I did not see Cuba it is not enough to
prove that it cannot be seen now. It must be proven that it could not
be seen in, say, 1975, or so. To do this you must prove either that
Cuba is not moving away from the US due to continental drift, or that
despite this movement Cuba was not visible even in 1975.
I eagerly await further postings on this matter.
No need to wait any longer.
Next on the list of subjects not considered in this discussion:
the doppler shift of light reflected from Cuba due to the motion of
Cuba relative to Key West and the atmosphere. It is a well known fact
that the index of refraction is a strong nonlinear function of wavelength.
(This is the reason diffraction gratings are preferred over prisms.)
Depending on your assumptions of the velocity and reference wavelength,
doppler shift of light could be important. And also, we can't forget
earth tides. At certain phases of the tide, the velocity difference
between Cuba and Key West due to tidal deformation of the Earth by the
moon may even exceed the relative motion due to plate motion and deformation
At 'ebb' tide, Cuba and Key West will be pulled closer together by this effect
but have no relative velocity, while at other phases they will be further
apart but have a larger relative velocity. Adding to this the fact that
the Moon was closer to the Earth in 1975 than it is now, and so exerted
stronger tides, we have the potential for an important contribution to this
debate.
I request that these topics be addressed by Tim Sevener in his next followup.
I have good ideas about the magnitude of their effect, and I am sure most of
the scientifically aware people on the net do also, but I request that those
who have estimates of the magnitude of such effects keep them to themselves
for a short time as it would be best to have the first response come from Tim
so there can be no allegations of bias or lack of scientific knowledge.
Quotes, please? And something that defines the quoted folks as
"Reaganistas"?
This *would* be funny, Michael, except that it reflects
your strategy not only in the whole seeing Cuba from Key West
debate but in virtually every subject area.
Rather than present substantive arguments backed up by facts,
references and sound logic, you prefer to spew out rampant
speculations which really differ little from the one here
you are humorizing.
Since you so often do this sort of thing in supposedly
"serious" debate, the only humor I can find in this remark
is that it resembles so closely your past argument style:
present rampant speculation then
wait for your opponents to refute a particular rampant
speculation while you merrily spin out a new rampant
speculation!
Again, with no basis in fact, leaving your opponents to
counter *that* piece of nonsense, ad absurdum....
tim sevener whuts!orb