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isolating orbital motion



 
 
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  #1  
Old May 31st 04, 12:26 PM
oriel36
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Default isolating orbital motion

The Earth's orbital orientation to the Sun is demarcated by a
tangential line running at 90 degrees to the Sun/Earth line and is
physically present as the daylight/darkness line.

http://www.users.muohio.edu/primacag...om%20space.gif

The daylight/darkness line alters through 360 degrees in the course of
an annual orbit ,not in a constant way but in as a direct correlation
with Kepler's second law.

http://www.mhhe.com/physsci/astronom...ages/04f15.jpg

As the daylight/darkness line does not run parallel to axial longitude
coordinates but remains fixed to the orbital plane and tangential to
the Sun/Earth line,it is possible to render a more accurate
geometrical/astronomical description of why the Equation of Time is
necessary and how the variable shift in the daylight/darkness line
constitutes why axial rotation to the Sun/Earth line is different for
each constant axial rotation.

Contemporary explanations of the Equation of Time do not factor the
shift in the daylight/darkness line as a property of the Earth
orbital orientation to the Sun and attribute a false axial tilt
component.The shift in orientation of the Daylight/darkness line is
simple enough to grasp visually -

http://www.mhhe.com/physsci/astronom...ages/04f15.jpg

What is intricate is grafting in constant axial rotation into the
above shift in daylight/darkness orientation.As the Earth axially
rotates out of its orbital shadow at dawn,an observer points in the
direction of the leading edge of the Earth's orbital motion,depending
on where the Earth is in its annual cycle,the orbital direction using
the daylight/darkness line will sometimes be closer to darkness and
sometimes closer to daylight as can be seen from the above graphic
indicated by the arrow denoting the direction of the
daylight/darkness line.


Ultimately it is up to the observer actually go outside and look in
the direction of dawn as the Earth axially rotates out of its orbital
shadow and gauge the direction of orbital motion rather the
geocentric term 'sunrise'.It is disorientating at first but I assure
anyone that it gives more meaning to the insights of Copernicus and
Kepler when viewed that way.


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  #2  
Old May 31st 04, 05:25 PM
Jenab
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The direction of the sun at sunrise has little to do with the
direction of the Earth's sun-relative velocity.

Knowing that Earth's orbital eccentricity is small (0.0167), you could
make the approximate guess that the velocity must be at a right angle
to the observed position of the sun. But you could do that at any
time; there is no need to wait until sunrise. However, unless you
also know where the ecliptic intersects the plane normal to the
direction of the sun, you don't know the direction in which Earth is
moving, relative to the sun.

Maybe if you saw a planet 90 degrees from the sun (at sunrise, when
the brighter planets might still be visible), you could judge about
which way Earth was headed.

Jerry Abbott


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  #3  
Old June 1st 04, 04:20 PM
oriel36
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I am unfamiliar with the 'quote' feature on this newsreader


Jenab wrote ; "The direction of the sun at sunrise has little to do
with the direction of the Earth's sun-relative velocity. "

Jerry Abbott

You still remain attached to the geocentric term of 'sunrise' rather
than the astronomically accurate description as the Earth's axial
rotation out of its orbital shadow.The difficulty in demonstrating
the changing orientation of the Daylight/darkness line ('sunrise' for
geocentrists) in connection with Kepler's second law , the noon
determination when the Earth axially rotates to face the Sun directly
along longitudinal coordinates and the mathematical Equation of Time
bridge which reflects the isolation of axial rotation to the 24
hour/360 degree equivalency.

http://www.mhhe.com/physsci/astronom...ages/04f15.jpg

As the changing daylight/darkness orientation has never been factored
into observation,you would do well to go outside at dawn and draw the
correlation between what you observe and the above graphic.If it does
not alter your position and you wish to remain attached to geocentric
'sunrise' descriptions then be my guest but those who can fit the
observations into proper perspective will experience something new
and different.


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  #4  
Old June 4th 04, 01:43 PM
Jenab
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All right then. You wake up one morning...and Earth is GONE! Yep, no
planet. No horizon. You're floating in space (in your spacesuit
pajamas).

Over there is the sun.

You believe that you must be in orbit around the sun.

God shows up long enough to tell you that you are in a CIRCULAR orbit
around the sun. Then He vanishes.

Ok, point in the direction in which you're moving.

Can't do it? Why not?

Oh, I see. Just because you can point an an object 90 degrees to your
motion relative to it does not mean that you can point in the
direction of that relative motion.

All you can do is trace the circle and say that your motion is toward
a point somewhere on it.

Jerry Abbott


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  #5  
Old June 4th 04, 02:47 PM
Greg Neill
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"Jenab" wrote in
message ...

All you can do is trace the circle and say that your motion is toward
a point somewhere on it.


Why restrict yourself to 2D? Until you can collect data
from the relative motion against the background, your
velocity vector could be in any direction in the plane
perpendicular to the you-Sun line.


  #6  
Old June 5th 04, 01:13 PM
oriel36
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Jenab wrote; " All right then. You wake up one morning...and Earth is
GONE! Yep, no planet. No horizon. You're floating in space (in your
spacesuit pajamas). "

'Morning' like the term 'dawn' is simply a convenient phrase for
determining the Earth's axial rotation out of its orbital shadow,it
is astronomically no better or worse than 'sunrise',technically if
there is no Earth and its axial rotation there is no morning to wake
up to.I apologise that I must leave you with your hypotheticals for I
have no interest in them as they lack astronomical and geometric
precision.






A moderator in another forum has been most gracious in facilitating a
brief outline of the geometrical/astronomical elements involved and a
certain section is bound to recognise the property of the Earth's
orbital orientation to the Sun in terms of the shift in the
daylight/darkness orientation.

http://www.mhhe.com/physsci/astronom...ages/04f15.jpg

Simply graft in axial rotation as a seperate motion into the above
graphic and the alignment of longitude meridians to the Sun/Earth
line explains the natural variation from one complete axial rotation
to the next and subsequently why the Equation of Time is necessary to
equalise the variation .As axial rotation is a seperate motion to
orbital motion,the 23 and a half degree offset does not change how
the meridians align with the Sun/Earth line for as the
daylight/darkness line on the Earth's surface is always tangential
to the Sun/Earth line so too the alignment of the longitude lines
which fall along the axis of rotation, rotate to face the Sun
directly ('noon' in geocentric terminology).

The astronomers in Newton's era were incorrect,the shifting
daylight/darkness line which indicates the change in the Earth's
orbital orientation to the Sun/Earth line is the major component of
the Equation of Time.There is no axial tilt component in the Equation
of Time insofar as the Equation of Time is a direct consequence of
the combined difference between constant axial rotation and variable
orbital motion along the Sun/Earth line.


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