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From: hertz778@gmail.com (rhertz)
Newsgroups: sci.physics.relativity
Subject: Re: Relativity is a pseudoscience II. The Hafele-Keating HOAX,
Date: Mon, 23 Sep 2024 18:26:34 +0000
Organization: novaBBS
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These are the segments of the eastward HK flights, in terms of
Km/segment and Latitude-Longitude.

According to Hafele, the calculations were done assuming a CONSTANT
VELOCITY of the planes, and an average latitude of 34°. He also used an
average ground speed of 243 meters/sec (Earth - plane).


********************************************************************
Km               -           Lat    -           Long           -       
Segment
0 Km        -        39,04822°    -    -76,43544°  -  Washington
5886 Km    -      51,14078°  -     -0,67372°  -  Washington - London
642,74 Km  -    50,11775°  -      8,59071°  -  London - Frankfurt
1871,64 Km  -  41,46251°  -  29,38487°  -  Frankfurt - Estambul
1021,37 Km  -  33,96526°  -  35,36143°  -  Estambul - Beirut
1482,46 Km  -  35,98159°  -  52,06065°  -  Beirut - Teheran
2555,97 Km  -  28,8678°  -    76,67003°  -  Teheran - New Delhi
2912,83 Km  -  14,37512°  -  100,22471°  -  New Delhi - Bangkok
1717,18 Km  -  22,69921°  -  113,58409°  -  Bangkok - Hong Kong
2861,7 Km  -    35,69659°  -    139,28415°  -  Hong Kong - Tokyo
6200,21 Km  -  22,37449°  -  -158,17372°  -  Tokyo - Honolulu
4134,87 Km  -  34,4015°  -     -118,44716°  -  Honolulu - Los Angeles
1957,15 Km  -  32,72876°  -  -97,22035°  -  Los Angeles - Dallas
1901,32 Km  -  38,97539°  -  -77,09435°  -  Dallas - Wasgington

******************************************************************



BUT, as anyone can see on the graphic that I posted below, the flight
path is anything but regular, at the average latitude of 34°.

Now it comes about how to decompose each segment's flight, traced on a
spherical surface, into its pure vertical and horizontal components.

Consider this:

1) The horizontal segment. at a given latitude, has to account for the
Earth's rotation speed MINUS the airplane's speed.

2) The vertical segment, at a given longitude, has to account ONLY for
the rotational speed of Earth, as the plane's speed has zero influence
on SR (are orthogonal).


According to Hafele´s paper. he computed 41 hours of fligth at a
constant speed, which gave 32,107.90 Km over an average latitude of 34°.

Using Google Maps to build the data for the graphic, the DISTANCE they
traveled in 41 hours is of 35,145.44 Km in a SPHERICAL SURFACE.

Making gross calculations, the aggregated horizontal components (the
only ones valid for SR) generate a theoretical time dilation VERY FAR
from the Hafele's values. And, regarding the vertical components over a
fixed longitude, they are normal to the horizontal flight path, and
don't have to be considered for SR calculations, except for the time
invested in that theoretical travel.

Finally, considering that the above considerations have to be computed
using SPHERICAL TRIGONOMETRY plus a decomposition of Earth's rotational
speed at each microsegment, I conclude that THE MANIPULATION OF DATA
(just for this) ia ENORMOUS and the results were achieved by using
arbitrary hypothesis (hundred of them).

That the final theoretical results presented a rather wide margin of
errors is, for me, just a convenient cover-up for such GROSS experiment.


One thing are theoretical error margins of +/- 15% (nice try), and
another is to HIDE ERRORS ABOVE +/- 40%.

If you have doubts, invest 10-15 hours working with the CORRECT
theoretical calculations. If not, HAVE DOUBTS ABOUT COOKED DATA!
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