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As I see it, the Copernican thought revolution demotes Earth from the old status as a stationary, fundamentally central object to that of being just another planet for the purpose of celestial mechanics. A geocentric thought process still makes sense for analyzing events and phenomena on this planet. What do you think I am missing? |
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The ancient elite thinkers had a religious predisposition to regard constant-velocity perfect circles as the ideal of heavenly perfection, a point of view we long since have abandoned. Nevertheless, in the absence of a good gravitational theory of celestial motion, such circular terms were a reasonable starting point for the analysis of celestial mechanics. More on that later. |
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As I pointed out earlier, it was the emergence of a universal dynamic theory that made a stationary-Earth model fall apart, while showing good agreement with the stationary-Sun model. Quote:
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So I contend that once the paradigm shift from circles to ellipses occured, the ENTIRE ball of wax from the Greeks had to be scrapped. If we just switched from circular to elliptical orbits, but kept the earth at center, then we'd just be doing some ad hoc attempt at breathing life into the dead Greek models. Why do that? Why not rethink the whole thing from scratch? ![]() Quote:
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'Just be a good team player in life', Andrew Evans |
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Ptolemy used a one-year epicycle in each planet's orbital construction to account for the recurring retrograde motions. Copernicus noticed that all of them were in unison with the Sun's apparent motion. When he transformed everything to a common center with the Sun near that center and nearly stationary, adjusted the orbital radii to the right proportions, and made Earth just another planet orbiting that same center, the Ptolemaic epicycles went away. What did not go away were the residual position errors caused by the difference between perfect, constant-velocity circles and the actual motion now known to be described by Keplerian ellipses. Copernicus, still thinking largely in ancient terms, made do with slightly eccentric orbits and small epicycles with periods that were in proportion to the planet's orbital periods. It was an ironic regression from Ptolemy's approach to the same problem, and it made a relatively messy calculation which really was no overall improvement in accuracy over Ptolemy's work. Kepler's work was needed to clean it up with a general formula that was valid for all orbits. Once again, if we are hidebound enough, we can transform the Copernican model, as cleaned up by Kepler, back to a stationary-Earth model with no loss of geocentric positional accuracy. The geometry alone is not the clincher. |
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Copernicus's model used epicycles as well--according to Koestler, even more than Ptolemy. The model probably didn't work as well even. Part of his problem was that he centered the solar system on the center of the earth's orbit. Using that notion--and Tycho's data--you're still going to have problems. |
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However, what I also wonder about is Kepler's 3rd harmonic law. As far as I can tell, this law only makes sense relative to orbits around sun, not earth. If the equation can be transformed to earth frame of reference, what form would it take? Heliocentrism vs. Geocentrism - what the...?
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'Just be a good team player in life', Andrew Evans Last edited by HypothesisTesting; 05-February-2008 at 06:43 PM.. |
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1. Make Earth the stationary center. 2. Have the Sun orbiting at one astronomical unit. 3. Have all of the other planets in giant epicycles with their centers at the Sun's position, with each epicycle being the same size and shape as the orbit in the heliocentric model. These epicycles will obey Kepler's third law. Another way would be to give each planet a Ptolemy-style deferent centered on the Earth and the same size and shape as the heliocentric ellipse, and a one-year epicycle the same size and shape as Earth's orbit. Make sure each planet's epicycle component is in unison with the Sun's geocentric orbit. The deferent components, as measured from Earth, will obey Kepler's third law. Clear as mud? I can draw it better than I can write about it. |
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ok, that seems pretty clear. Well, at least we probably agree that above types of attempts are clearly just geometric constructs and motivated by people who want to make ad hoc devices to save their geocentric model.
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'Just be a good team player in life', Andrew Evans |
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Each planet's Ptolemaic annual epicycle would have been an exact solution for the retrograde motion if, 1. The actual orbits had been perfect circles or, 2. The epicycles and respective deferents had been Keplerian ellipses with appropriate amounts of eccentricity. The other type of epicycle is a stab at using combinations of uniform circular elements to do what Ptolemy did with his eccentric, non-uniform circles. Even after solving for the retrograde loop, there remains the fact that successive oppositions of each planet occur at non-uniform intervals. Ptolemy knew that without leaving a geocentric line of thought, and he attacked it with a non-uniform circle rather than resort to a clunky string of additional epicycles. Copernicus chose the latter method to account for these residual errors in a quest to stick with combinations of uniform circular motion, in keeping with Aristotle's ancient ideal which Ptolemy had rejected. The result was a messy, inexact construction which Kepler cleaned up by discovering that a simple ellipse was a good fit. For all we know, Ptolemy might have done something similar if he had been able to measure the positions as accurately as Tycho did. Changing the deferent circle to an ellipse with a focus at Earth's center would not have been a huge quantitative change, and it would have improved the results without resorting to a heliocentric line of thought. I think most of us would agree that a geocentric line of thought is intuitive for analyzing what goes on around us. What is so ATM about that? If you are looking specifically for evidence that the positions of the planets are somehow related to cycles of events on the surface of our planet, I might consider that to be ATM, but the act of testing it from a geocentric point of view seems perfectly mainstream to me. |
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We'll never know for sure. It's hard to get into the heads of the ancients/medievals, there is much in their mindset that mystifies me.
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'Just be a good team player in life', Andrew Evans |
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Let's not be too rough on the ancient thinkers. Perhaps it was bad religion to sanctify a mere geometric construction, but a combination of circular elements was as good a starting point as any for calculating a periodic pattern of motion. In a thought experiment one could imagine a spinning potter's wheel with a luminous spot on its edge. That spinning wheel could be mounted on the edge of a larger wheel to serve as an epicycle. In the absence of a gravitational theory of celestial dynamics, such a set of wheels is good as anything. Once again, any of these planetary orbit constructions can be transformed to a stationary Earth model, if all we have to go on is geometry. |
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My approach to this set of problems draws on the work of Martin Heidegger, 1889-1976. In his 1962 essay Modern Science, Metaphysics and Mathematics Heidegger said ‘Bohr and Heisenberg think in a thoroughly philosophical way and only therefore create new ways of posing questions.’ Heidegger studied science from a philosophical perspective, not to critique science from its internal criteria but to test it against broader cultural criteria. He used Kant’s argument that ‘in any particular doctrine of nature only so much genuine science can be found as there is mathematics to be found in it’ to place physics within a philosophical framework, arguing that self-evident principles such as Newton’s laws of motion can be evaluated against older philosophical methods. Heidegger’s categories for thought draw from Plato, Aristotle and Augustine. His central idea that the meaning of being is care made his 1926 book Being and Time a main source for existentialism. There he analysed the epistemological assumptions imbedded in the Copernican worldview, especially how Descartes developed a modern metaphysics whereby mathematical measurement became the criterion of reality. Heidegger contrasted the epistemology of extension, Descartes’ criterion for the scientific worldview, with an epistemology of ‘things for use’ whereby human existence - ‘being in the world’ – is a defining framework. The meaning that things have for people is defined by networks of relationship, not just by objective measurement. My argument here is that a cosmological approach which studies phenomena for which the earth is at the centre is helpful for relating astronomy with philosophy. Such a cosmology does not help to understand the universe as a whole, but it does help to understand how our life relates to the universe, to the extent that human existence is geocentric, based on the ordinary temporal framework of the calendar and the spatial framework of maps. This use of philosophy may seem peripheral for a scientific discussion per se. Indeed it does not have any comment on the accuracy of any particular scientific claims. However, to understand the role of geocentrism for human culture and worldviews, such philosophical considerations need to be examined. My interest here is to analyse the linkages between objective scientific worldviews and the phenomena of human culture. Quote:
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The limits of philosophy give it no equipment whatsoever ![]() Not that there's anything wrong with that |
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'Just be a good team player in life', Andrew Evans |
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to the OP, of course our measurments and systems are geocentric in their origins. that is our veiwpoint. there is no philosophical argument to this. it is fundamental to our technologicaly limited view of a universe that is, as yet, ever growing to meet our observational ability, in all directions; be it microscope or telescope.
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I once put instant coffee in a microwave and nearly went back in time - Steven Wright |
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Upon going back to the OP, I can see that this thread has digressed into quibbling with details, rather than exchanging thoughts about the broad spectrum of philosophy in which science is a powerful, useful tool that nevertheless has its limitations. This broad spectrum fundamentally deals with the relationship of us Earthlings with the world around us, meaning Planet Earth and the surrounding cosmos of which it is a part. As such the thought processes dealing with the big picture are naturally geocentric. So once again, why is this thread in ATM, rather than General Science or perhaps Off Topic Babbling?
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Is it allowed? The OP was suggesting his personal beliefs were scientific arguments.
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I say there is an invisible elf in my backyard. How do you prove that I am wrong? Disclaimer: Avatar is not an official NASA image and does not imply any specific interplanetary or interstellar capability. The Leif Ericson Cruiser |
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I think you can find that in the rest of the post that you quoted from Quote:
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Only the geocentric parts of astronomy are of any practical use. Sherlock Holmes, a great empiricist, said it mattered not a jot to him if the sun went round the earth or the earth went round the sun, and he would promptly try to forget Watson's advice to him of the Copernican view. This underlying problem goes back to Bohr etc, who put quantum mechanics and cosmology in a philosophical framework which subsequent physicists seem to have forgotten. It is useless to build particle accelerators and space rockets which don't help the situation for people on earth. 99% of human activity can get by with a geocentric framework so it is a bit stupid to say that the earth is not privileged.
Here is new fable which helps to explain what I mean. When Uranus was discovered in 1781, it was a signpost for a Promethean revolution in industrial innovation and political liberty. When Neptune was discovered in 1846 we saw the rise of chemistry and globalization by sail. Pluto in 1931 marked the atomic age. In 2003, a new planet was discovered, variously known as Eris, Lila or Xena http://www.gps.caltech.edu/~mbrown/planetlila/. Following Dane Rudhyar’s call to use the name Proserpine, I think of this planet as Persephone. My reason is mythic. http://en.wikipedia.org/wiki/Persephone tells the myth of Persephone’s capture by Pluto, plunging the world into eternal winter, and how the god of death tricked her to eat four pomegranate seeds before Hermes could bring her back to earth, causing one month of winter for each seed. My interpretation reads this myth in planetary terms. The one-third/winter represents the land and the two-thirds/summer represents the oceans which cover 71% of our planet. Under the atomic rule of Pluto, we are on a destructive path of seeing our traditional land-based civilization as the only way to live - viewing the one-third as the whole even though it is destroying our planet. Returning to life with Persephone, humanity will follow the path of the whales to colonise the two-thirds world covered by the oceans, not evolving to swim but by living on top of fresh water dams as I described briefly at www.ascm.org.au/jgOnline/jg2007Autumn.pdf. The next century will be a period of recovery from the destructive limited controlling vision of recent times. The four seeds eaten by Persephone represent our ties to the earth, but the eight months of summery freedom will start a new Aquarian age, with an ocean-based civilization that will allow the earth to recover. |
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As for the rest, it isn't relevant to science.
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I say there is an invisible elf in my backyard. How do you prove that I am wrong? Disclaimer: Avatar is not an official NASA image and does not imply any specific interplanetary or interstellar capability. The Leif Ericson Cruiser |
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Carl Sagan very eloquently used to show how a proper perspective on our place in the universe could lead to us being good "stewards" of planet earth.
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'Just be a good team player in life', Andrew Evans |
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Perhaps you meant "globalization by steam"? That might make a little more sense, but again all of this was well under way before Adams and Leverrier picked up a pen and set to work. Too bad we no longer think of it as a planet. What about the early 20th century, with its discoveries in quantum mechanics, special and general relativity? I don't recall any planets being discovered then, do you? Quote:
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Microsoft is over if you want it. The bar has been lowered for the promotion of ATM ideas; the bar for the acceptance of ATM ideas must remain high. |
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To reiterate: discoveries of planets do not drive technological, social or even "spiritual" progress. The discoveries of planets and such are the products of technological advances combined with a climate that encourages the search.
Herschel found Uranus by accident, he was looking for comets instead. Because Uranus was discovered and seemed to fall into place in the conjectured Titius-Bode "Law", there was a motivation to find the missing planet expected at 2.8 AU. Diligent search turned up 1 Ceres, 2 Pallas, 3 Juno and 4 Vesta between 1801 and 1807. It does not appear that anyone was looking for any after that; 5 Astraea wasn't discovered until 1845. (Maybe the discovery of 5 Astraea, not the discovery of Neptune, was the signal for "globalization by sail". ) After that the speed of discovery gradually increased through the 19th and 20th centuries, taking off with breath-taking speed once the necessity to find potential hazardous asteroids became apparent.The centaur 2060 Chiron is an excellent example of the necessity for a climate that encourages search. It was discovered in 1977 because its slow motion stood out from the main-belt asteroids. A search of old plates turned up images in 1969, 1952, 1943, 1941 and, incredibly, 1895. It was even marked on one of the plates in 1943 (I think) but nobody cared to follow up on it. The technology to find it was available in 1895; the motivation to find it wasn't available until 1977.
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Microsoft is over if you want it. The bar has been lowered for the promotion of ATM ideas; the bar for the acceptance of ATM ideas must remain high. |
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Arthur Conan Doyle
A Study in Scarlet Chapter 2 The Science of Deduction http://ebooks.adelaide.edu.au/d/doyl.../chapter2.html “My surprise reached a climax, however, when I found incidentally that he was ignorant of the Copernican Theory and of the composition of the Solar System. That any civilized human being in this nineteenth century should not be aware that the earth travelled round the sun appeared to me to be such an extraordinary fact that I could hardly realize it. “You appear to be astonished,” he said, smiling at my expression of surprise. “Now that I do know it I shall do my best to forget it.” “To forget it!” “You see,” he explained, “I consider that a man’s brain originally is like a little empty attic, and you have to stock it with such furniture as you choose. A fool takes in all the lumber of every sort that he comes across, so that the knowledge which might be useful to him gets crowded out, or at best is jumbled up with a lot of other things, so that he has a difficulty in laying his hands upon it. Now the skilful workman is very careful indeed as to what he takes into his brain-attic. He will have nothing but the tools which may help him in doing his work, but of these he has a large assortment, and all in the most perfect order. It is a mistake to think that that little room has elastic walls and can distend to any extent. Depend upon it there comes a time when for every addition of knowledge you forget something that you knew before. It is of the highest importance, therefore, not to have useless facts elbowing out the useful ones.” “But the Solar System!” I protested. “What the deuce is it to me?” he interrupted impatiently: “you say that we go round the sun. If we went round the moon it would not make a pennyworth of difference to me or to my work.” I was on the point of asking him what that work might be, but something in his manner showed me that the question would be an unwelcome one. I pondered over our short conversation however, and endeavoured to draw my deductions from it. He said that he would acquire no knowledge which did not bear upon his object. Therefore all the knowledge which he possessed was such as would be useful to him. I enumerated in my own mind all the various points upon which he had shown me that he was exceptionally well informed. I even took a pencil and jotted them down. I could not help smiling at the document when I had completed it. It ran in this way: Sherlock Holmes — his limits 1. Knowledge of Literature. — Nil. 2. “ “ Philosophy. — Nil. 3. “ “ Astronomy. — Nil. 4. “ “ Politics. — Feeble. 5. “ “ Botany. — Variable. Well up in belladonna, opium, and poisons generally. Knows nothing of practical gardening. 6. Knowledge of Geology. — Practical, but limited. Tells at a glance different soils from each other. After walks has shown me splashes upon his trousers, and told me by their colour and consistence in what part of London he had received them. 7. Knowledge of Chemistry. — Profound. 8. “ “ Anatomy. — Accurate, but unsystematic 9. “ “ Sensational Literature. — Immense. He appears to know every detail of every horror perpetrated in the century. 10. Plays the violin well. 11. Is an expert singlestick player, boxer, and swordsman. 12. Has a good practical knowledge of British law. When I had got so far in my list I threw it into the fire in despair. “If I can only find what the fellow is driving at by reconciling all these accomplishments, and discovering a calling which needs them all,” I said to myself, “I may as well give up the attempt at once.” Other comments on this are at http://www.space.com/searchforlife/d...es_050310.html Author's note: When I once read that Arthur Conan Doyle's character Sherlock Holmes did not care about the Earth's orbit I thought it might be a good idea to have him collaborate with the Royal Greenwich Observatory. So being in both the "Doyle" and the "Astronomy" Clans, I thought I'd give it a go. So here is the two-part "Case of the Vanishing Robbers" -- Laurance R. Doyle and http://www.gfy.ku.dk/~ams/sh/universal.html quotes “Holmes's knowledge of astronomy was nil; he was ignorant of the Copernican Theory and of the composition of the solar system. "You say that we go round the sun. If we went round the moon it would not make a pennyworth of difference to me or my work." and comments “now, how are we supposed to understand that? Well, on the one hand astronomers might with some right take this name as a sort of joke or ironic provocation. Imagine naming a minor planet after such an ignoramus! On the other hand we do know ? we have seen it time and time again ? that Watson actually wasn't quite aware of Holmes's many talents and the extent of his knowledge. And finally, we could also put on our relativistic glasses and claim that Holmes simply was ahead of his time, because in principle it is completely unimportant whether you consider the Earth to revolve around the Sun or the Sun to orbit the Earth. The mathematics are just much easier if we consider the first option.” |
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