"George Dishman" wrote in message ...
"Oriel36" wrote in message om...
To prove that axial tilt does not have any effect on the Equation of
Time involves a quite easy and inexpensive experiment involving only a
sundial,a stopwatch, a clock and the Equation of Time correction
tables which gives a value for each day of the year.

The tables are produced using the tilt, you cannot calculate
the correct values without it. Using only the factor due to
the elliptical orbit you get a single peak:


I had a look at the modern values against the values used by Roemer
and they are different,the modern value gives a positive value for Oct
24th while it was a negative value in Roemer's calculations.I
understand the value in context of the insight of Roemer and
subsequently Newton's definition of the distinction between absolute
time and relative time as the Equation of Time and as addition and
subtraction of minutes are involved,it should be taken as a given that
the Equation of Time parameter should be made distinct from the
sidereal parameter.

http://dibinst.mit.edu/BURNDY/OnlinePubs/Roemer/chapter3(part2).html

http://www.jgiesen.de/SunView/




http://www.analemma.com/Pages/Ellipt...OrbitMath.html

The full equation has two peaks:

http://www.analemma.com/Graphics/sum...inedCharts.GIF


The analemma is generated by putting clocks in the driver seat off
civil time but the original use of the Equation of Time and the
correction from natural noon to clock time involves the appropriate
addition and subtraction of minutes as a planetary meridian aligns
with the Sun depending on where the Earth is in its annual orbit,again
AM and PM reflect the original determination of 24 hours off the
inequality of natural noon to natural noon,there is nothing more basic
and it has nothing to do with axial tilt.All that matters was the
alignment regardless of latitude and it is good from pole to pole.



George
p.s. have you found out how to use Kepler's Second Law yet?

George,I looked at your last posting in a different thread and you do
something I would never do.I have kept this at a level of the
relationship with the planet wrt the Sun and the difference between
axial rotation and the difference in the distance the Earth covers in
its annual orbit as the axial alignment to the Sun repeats itself
(noon) and how this reflects the Equation of Time and ultimately the
relationship between clocks,geometry and astronomy.Anyone who comes to
know the intricate relationship will well acknowledge what Newton was
saying in terms of the difference between absolute and relative time
as the astronomical correction known as the Equation of Time,even a
hasty glance at Roemer's work will show the principle in action.You
think you are doing everyone a favor by bringing the stars and the
sidereal parameter into it but if it comes down to that perhaps the
discipline of astronomy is truly destroyed for against insincerity
there is no amswer.

"Absolute time,
in astronomy, is distinguished from relative, by the
equation or correlation of the vulgar time. For the natural days are
truly unequal, though they are commonly considered as equal and used
for a measure of time; astronomers correct this inequality for their
more accurate deducing of the celestial motions." Principia

By right any astronomer would recognise the definition/distinction for
what it is but without the Equation figures from Newton's era your
concept, that destroys the distinction, survives for another day.