Incorrect. My link describes the tables as being an aggregation of observation form multiple astronomers.
1. Your link is a wikipedia page. I can't speak for you, but I find peer-reviewed publications in scholarly journals much more compelling than wikipedia pages. For all I know, you're the author of those words. I don't think that you are, but the fact remains that my data can be (and has been) verified, and it comes from trustworthy sources. Those sources disagree with your description of how ephemerides are calculated.
2. Your link says the following things:
"Until the end of the 16th century, the most widely used had been the Alphonsine tables, first produced in the 13th century and regularly updated thereafter. These were based on a Ptolemeic, geocentric model of the solar system. Although the
Alphonsine tables were not very accurate, nothing else was available and so they continued to be used."
Geocentric models were inaccurate.
"Kepler was able to prepare these new tables using Tycho's accurate observations
together with a heliocentric model of the solar system and his own discovery of the elliptical orbits of the planets."
Kepler combined Tycho's observations with his heliocentric model.
"They contain positions for the 1,006 stars measured by Tycho Brahe, and more than 400 stars from Ptolemy and Johann Bayer, with directions and tables for locating the planets of the solar system. The tables included many function tables of logarithms and antilogarithms,
and instructive examples for computing planetary positions."
This sentence encapsulates exactly the way these tables are used. Initial conditions (past observations) are fed into Kepler's model. The model uses these initial conditions to create an output (future prediction) that can be compared to the outputs of other models. Tycho's observations, and Kepler's Rudolphine Tables, were useful only inasmuch as they were finally accurate enough to begin constructing models that could be meaningfully compared.
None of that says that the data in the tables was calculated. It says right in the Wikipedia page several times that the tables are a list of observations collected over time.
Why can't there be rival tables of observations?
Are you serious? How are you not getting this? The data for past events were based on observations. The predictions for future events were based on mathematics derived from the past observations. Different models constructed to explain the data set of past observations can be compared based on their different predictions. The passages make this abundantly clear. for instance: "In I629 he published a volume of Ephemerides based upon Kepler's tables,
but calculated for the locality of Strasbourg. In it he spoke of Kepler's theories in terms of high praise, but did not expound them. Instead,
he referred the reader to the Epitome for the theoretical principles on which the tables were based."
There were rival tables of future predictions, created by different models (heliocentric/geocentric, circular orbits/elliptical orbits, etc.). Geocentric models failed. Circular orbits failed. Elliptical heliocentrism prevailed.
Seeing that Kepler's master Tacho Banche used his tables to make predictions, and Tacho believed that the earth was center of the universe which everything revolved around, I would beg to differ that Kepler's tables of historic observations are not applicable to different solar system models.
Astronomy is purely a science of observation and interpretation.
Kepler published the Rudolphine Tables at the end of his life. Tycho Brahe was dead. Kepler used Brahe's observations to construct the tables, but their predictions were very different. Kepler won.
That document was authored by the Jet Propulsion Laboratory, a NASA entity. It references a bunch of bogus NASA projects as a source for some of its data.
Nonetheless, for the historical data they are just stealing the trigonometric equations astronomers of antiquity have used for pattern analysis.
Rowbotham provides equations for predicting the Lunar Eclipse in Earth Not a Globe (scroll to the bottom), but as he describes, the whole concept of prediction in astronomy is based on pattern recognition and nothing more.
Big on claims, short on evidence. You're just making assertions at this point. Feel free to come back to any of the NASA threads you've fled from. You have no reason at all to be suspicious of NASA, other than the fact that it would disrupt the worldview you can't relinquish. It's the very definition of irrational.
Congratulations to Rowbotham on predicting lunar eclipses. That's not really evidence of anything. I can predict the exact time Venus will transit the Sun, and I can tell you precisely where on Earth you can view it. Even if the timing follows a regular pattern, its visibility on Earth isn't.
2004 Venus Transit Visibility
http://eclipse.gsfc.nasa.gov/transit/venus/Map2004-1.GIF2012 Visibility
http://eclipse.gsfc.nasa.gov/transit/venus/Map2012-1.GIFOh, and here is a cool quote from some book-nerd contemporary of Kepler's, found just a page above the passage I quoted in Kepler's Laws, cited above:
'First, concerning the Danish Astronomy, which you mention at the beginning of your second letter. You hope that someone will give these tables a further polishing and you say that all astronomers would be grateful for this. But I should have thought that it would be a waste of time now that the Rudolphine Tables have been published, since all astronomers will undoubtedly use these . . . For myself, so far as other less liberal occupations allow, I am wholly occupied with trying to understand the foundations upon which the Rudolphine rules and tables are based, and I am using for this purpose the Epitome of Astronomy previously published by Kepler as an introduction to the tables. This epitome which previously I had read so many times and so little understood and so many times thrown aside, [/b]I now take up again and study with rather more success seeing that it was intended for use with the tables and is itself clarified by them . . .[/b] I am no longer repelled by the elliptical form of the planetary orbits; Kepler's proofs, in his Commentaria de Marte [i.e. Astronomia Nova] have convinced me."
Instead of rereading ENaG over and over again, you should tackle New Astronomy, or Epitome, or any other of Kepler's texts.
I'm sorry, but how does a quote by someone who freely admits that they do not understand what the tables mean go towards telling us what they mean?
He clearly says that his misunderstandings have been alleviated by carefully studying the relationship between the tables and the mathematics. More importantly, here is a first hand observer of these events describing that the tables of future predictions are, in fact, derived from mathematical models.