the ellipse note [link]

Here's the write-up, with pictures.

http://astro.isi.edu/notes/

Link is at the bottom: Newton for the Not-So-Non-Faint-of-Heart. Any
questions, comments, and suggestions are welcome. Gerald, surprise me:
Resist the temptation to lavish me with praise again.

--
Brian Tung
The Astronomy Corner at http://astro.isi.edu/
Unofficial C5+ Home Page at http://astro.isi.edu/c5plus/
The PleiadAtlas Home Page at http://astro.isi.edu/pleiadatlas/
My Own Personal FAQ (SAA) at http://astro.isi.edu/reference/faq.txt

I (Brian Tung) wrote:
Here's the write-up, with pictures.

http://astro.isi.edu/notes/

As usual, a minute after I posted this, I realized I could take out a
chunk of text that was entirely superfluous, and fixed it.

Some of you are too fast, though: There were already two downloads.
Brave souls, I think.

--
Brian Tung
The Astronomy Corner at http://astro.isi.edu/
Unofficial C5+ Home Page at http://astro.isi.edu/c5plus/
The PleiadAtlas Home Page at http://astro.isi.edu/pleiadatlas/
My Own Personal FAQ (SAA) at http://astro.isi.edu/reference/faq.txt

To Brian

If you are good enough to see that Newton transfered Flamsteed's axial
rotational/stellar circumpolar equivalency at 23 hours 56 min to a
geocentric /heliocentric orbital equivalency to get his mean Sun/Earth
distances,an unethical maneuver,you will be doing well.

I refer you to page 86 of the following work which provides the
geocentric coordinates of the motion of Mars transfered to the
heliocentric orbital motion of Mars against the orbital motion of the
Earth.You have to drop the reference to the background stars to
appreciate what Kepler is doing and how he isolates the orbit of the
Earth from that of Mars.

http://mitpress.mit.edu/journals/pdf/POSC_13_1_74_0.pdf

You can get the stretching and shortening of orbital distances from the
Sun alright but it is impossible to fit it into a Keplerian elliptical
framework.Astronomers such as Kepler worked from mean motions through
the center of a planet's orbit just as the primary Copernican insight
is made through the annual orbital motion of the Earth but it all
depends on the translation from the motion observed against the
background stars to motions against the Earth's orbital motion.

An examination of the diagram on page 86 demonstrates that retrogrades
are drawn nearest to the Earth's orbital distance to Mars thereby it is
possible to compare the actual Keplerian statement with Newton's
mangled version -

"PH=C6NOMENON IV.
That the fixed stars being at rest, the periodic times of the five
primary planets, and (whether of the sun about the earth, or) of the
earth about the sun, are in the sesquiplicate proportion of their mean
distances from the sun.


http://members.tripod.com/~gravitee/phaenomena.htm


"The proportion existing between the periodic times of any two planets
is exactly the sesquiplicate proportion of the mean distances of the
orbits, or as generally given,the squares of the periodic times are
proportional to the cubes of the mean distances." Kepler


It is clear that none of you ever heard of Kepler's Panis
Quadragesimalis before and what it represents.The more a person becomes
familiar with it the more they will look up at Mars rather than retreat
to string and paper.

It's a wonder isn't it, how interplanetary probes arrive ? Our understanding
being so fundamentally flawed.
jc

john carruthers wrote:
It's a wonder isn't it, how interplanetary probes arrive ? Our understanding
being so fundamentally flawed.
jc


Must all be hoaxes.

Shawn

It is the inability to seperate terrestial ballistics from terrestial
ballistics applied to planetary motion which generates this mess.

If you want to adhere to Newton's explanation for planetary motion
through the ballistics agenda you will also adhere to his view in
isolating the solar system from the effects of any other motion
(galactic orbital motion for instance).

"Cor. 2. And since these stars are liable to no sensible parallax from
the annual motion of the earth, they can have no force, because of
their immense distance, to produce any sensible effect in our system.
Not to mention that the fixed stars, every where promiscuously
dispersed in the heavens, by their contrary actions destroy their
mutual actions, by Prop. LXX, Book I."

Because elliptical orbits can vary from being more to less
elliptical,at least I can take the option of considering an influence
generated by the solar system's galactic orbital motion on heliocentric
planetary motion,you want to stay with Newton's view then good for you.

Want to keep the Newtonian Sun around the Earth is the same as the
Earth around the Sun when the motion of the solar system in one
direction around the Milky Way axis ( from a line drawn through the
center of the Sun ) is occuring.

How many avenues would you like to cut off to support the terrestial
ballistics agenda for planetary motion.All this is easy with the
original reasoning of the early heliocentrists for they operated from a
line drawn through the center of the Earth's heliocentric orbital path
which allows additional rotations to be grafted in,in observation and
in principle.Newton shuts it all off.

And thus you are justly commissioned in the army of the trolls as Major
Lyob Tuse. Here is your lance. Now go tilt at that
windmi...errr...Dragon of Newtonian Ignorance.

john carruthers wrote:
It's a wonder isn't it, how interplanetary probes arrive ? Our
understanding being so fundamentally flawed.
jc

--Must all be hoaxes.

Shawn--

You could be right Shawn, we must publish, but quickly before we lose
precedence. I suggest we hie ourselves hence to alt.bonsai and really give
it to them.
jc

To Erik

You tilt the Earth towards and away from the Sun rather than allowing
the change in orbital orientation do the job of cyclical seasonal
changes.

http://www.astronomynotes.com/nakedeye/s5.htm

I suppose you imagine that there is such a thing as sunrise and sunset
and you can't imagine it is the Earth's axial rotation that generates
the illusion,the orbital illusion appears as a variation in the motion
of the Sun highere and lower against the horizon but only a complete
idiot would express it in terms of axial tilt to the orbital plane.

Keep things local and express cyclical seasonal changes to changing
orbital orientation against fixed axial rotation.Then and only then
will you get to appreciate the scale of our parent star and the
enormity of the Earth';s orbital motion and geometry.

it is the Earth's axial rotation that generates the illusion,the orbital
illusion appears as a variation in the motion

The Earth goes round indeed, you are a fool Sir.
jc