In astronomy, the geocentric model (also known as geocentrism, or the Ptolemaic system), is a description of the cosmos where Earth is at the orbital center of all celestial bodies. This model served as the predominant cosmological system in many ancient civilizations such as ancient Greece. As such, they assumed that the Sun, Moon, stars, and naked eye planets circled Earth, including the noteworthy systems of Aristotle (see Aristotelian physics) and Ptolemy.
Two commonly made observations supported the idea that Earth was the center of the Universe. The first observation was that the stars, the sun, and planets appear to revolve around Earth each day, making Earth the center of that system. Further, every star was on a "stellar" or "celestial" sphere, of which the earth was the center, that rotated each day, using a line through the north and south pole as an axis. The stars closest to the equator appeared to rise and fall the greatest distance, but each star circled back to its rising point each day. The second common notion supporting the geocentric model was that the Earth does not seem to move from the perspective of an Earth bound observer, and that it is solid, stable, and unmoving. In other words, it is completely at rest.
The geocentric model was usually combined with a spherical Earth by ancient Roman and medieval philosophers. It is not the same as the older flat Earth model implied in some mythology, as was the case with the biblical and postbiblical Latin cosmology.[n 1][n 2][n 3] The ancient Jewish uranography pictured a flat Earth over which was put a dome-shaped rigid canopy, named firmament (רקיע- rāqîa').[n 4][n 5][n 6][n 7][n 8][n 9]
However, the ancient Greeks believed that the motions of the planets were circular and not elliptical, a view that was not challenged in Western culture until the 17th century through the synthesis of theories by Copernicus and Kepler.
The astronomical predictions of Ptolemy's geocentric model were used to prepare astrological charts for over 1500 years. The geocentric model held sway into the early modern age, but from the late 16th century onward was gradually superseded by the heliocentric model of Copernicus, Galileo and Kepler. However, the transition between these two theories met much resistance, not only from Christian theologians, who were reluctant to reject a theory that was in agreement with Bible passages (e.g. "Sun, stand you still upon Gibeon", Joshua 10:12 - King James 2000 Bible), but also from those who saw geocentrism as an accepted consensus that could not be subverted by a new, unknown theory.
- 1 Ancient Greece
- 2 Ptolemaic Model
- 3 Geocentrism and rival systems
- 4 Gravitation
- 5 Religious and contemporary adherence to geocentrism
- 6 Planetariums
- 7 Geocentric models in science fiction
- 8 See also
- 9 Notes
- 10 References
- 11 Bibliography
- 12 External links
The geocentric model entered Greek astronomy and philosophy at an early point; it can be found in Pre-Socratic philosophy. In the 6th century BC, Anaximander proposed a cosmology with the Earth shaped like a section of a pillar (a cylinder), held aloft at the center of everything. The Sun, Moon, and planets were holes in invisible wheels surrounding the Earth; through the holes, humans could see concealed fire. About the same time, the Pythagoreans thought that the Earth was a sphere (in accordance with observations of eclipses), but not at the center; they believed that it was in motion around an unseen fire. Later these views were combined, so most educated Greeks from the 4th century BC on thought that the Earth was a sphere at the center of the universe.
In the 4th century BC, two influential Greek philosophers, Plato and his student Aristotle, wrote works based on the geocentric model. According to Plato, the Earth was a sphere, stationary at the center of the universe. The stars and planets were carried around the Earth on spheres or circles, arranged in the order (outwards from the center): Moon, Sun, Venus, Mercury, Mars, Jupiter, Saturn, fixed stars, with the fixed stars located on the celestial sphere. In his "Myth of Er", a section of the Republic, Plato describes the cosmos as the Spindle of Necessity, attended by the Sirens and turned by the three Fates. Eudoxus of Cnidus, who worked with Plato, developed a less mythical, more mathematical explanation of the planets' motion based on Plato's dictum stating that all phenomena in the heavens can be explained with uniform circular motion. Aristotle elaborated on Eudoxus' system.
In the fully developed Aristotelian system, the spherical Earth is at the center of the universe, and all other heavenly bodies are attached to 47–56 transparent concentric spheres which rotate around the Earth. (The number is so high because several spheres are needed for each planet.) These spheres, known as crystalline spheres, all moved at different uniform speeds to create the rotation of bodies around the Earth. They were composed of an incorruptible substance called aether. Aristotle believed that the moon was in the innermost sphere and therefore touches the realm of Earth, causing the dark spots (macula) and the ability to go through lunar phases. He further described his system by explaining the natural tendencies of the terrestrial elements: earth, water, fire, air, as well as celestial aether. His system held that earth was the heaviest element, with the strongest movement towards the center, thus water formed a layer surrounding the sphere of earth. The tendency of air and fire, on the other hand, was to move upwards, away from the center, with fire being lighter than air. Beyond the layer of fire, where the solid spheres of aether in which the celestial bodies were embedded. They, themselves, were also entirely composed of aether.
Adherence to the geocentric model stemmed largely from several important observations. First of all, if the Earth did move, then one ought to be able to observe the shifting of the fixed stars due to stellar parallax. In short, if the earth was moving, the shapes of the constellations should change considerably over the course of a year. If they did not appear to move, the stars are either much further away than the Sun and the planets than previously conceived, making their motion undetectable, or in reality they are not moving at all. Because the stars were actually much further away than Greek astronomers postulated (making movement extremely subtle), stellar parallax was not detected until the 19th century. Therefore, the Greeks chose the simpler of the two explanations. The lack of any observable parallax was considered a fatal flaw in any non-geocentric theory. Another observation used in favor of the geocentric model at the time was the apparent consistency of Venus' luminosity, which implies that it is usually about the same distance from Earth, which in turn is more consistent with geocentrism than heliocentrism. In reality, that is because the loss of light caused by Venus' phases compensates for the increase in apparent size caused by its varying distance from Earth. Objections to heliocentrism utilized the natural tendency of terrestrial bodies to come to rest as near as possible to the center of the earth, and barring the opportunity to fall closer the center, not to move unless forced by an outside object, or transformed to a different element by heat or moisture.
Atmospheric explanations for many phenomena were preferred because the Eudoxan–Aristotelian model based on perfectly concentric spheres was not intended to explain changes in the brightness of the planets due to a change in distance. Eventually, perfectly concentric spheres were abandoned as it wasn't possible to develop a sufficiently accurate model under that ideal. However, while providing for similar explanations, the later deferent and epicycle model proved to be flexible enough to accommodate observations for many centuries.
Although the basic tenets of Greek geocentrism were established by the time of Aristotle, the details of his system did not become standard. The Ptolemaic system, espoused by the Hellenistic astronomer Claudius Ptolemaeus in the 2nd century AD finally accomplished this process. His main astronomical work, the Almagest, was the culmination of centuries of work by Hellenic, Hellenistic and Babylonian astronomers; it was accepted for over a millennium as the correct cosmological model by European and Islamic astronomers. Because of its influence, the Ptolemaic system is sometimes considered identical with the geocentric model.
Ptolemy argued that the Earth was in the center of the universe, from the simple observation that half the stars were above the horizon and half were below the horizon at any time (stars on rotating stellar sphere), and the assumption that the stars were all at some modest distance from the center of the universe. If the Earth was substantially displaced from the center, this division into visible and invisible stars would not be equal.[n 10]
In the Ptolemaic system, each planet is moved by a system of two or more spheres: one called its deferent, the others, its epicycles. The deferent is a circle whose center point exists halfway between the equant and the earth, marked by the X in the picture to the right where the equant is the solid point opposite the earth. Another sphere, the epicycle, is embedded inside the deferent and is represented by the smaller dotted line to the right. A given planet then moves along the epicycle at the same time the epicycle moves along the path marked by the deferent. These combined movements cause the given planet to move closer to and further away from the Earth at different points in its orbit, and caused observers to believe that the planet even slowed down, stopped, and moved backward (in retrograde motion). This apparent retrograde motion was one of the largest inconsistencies in Greek cosmological systems, and was one of Ptolemy's main reasons for creating the deferent, epicycle model. The model with epicycles is in fact a very good model of an elliptical orbit of low eccentricity, of which the main feature is an offset focus. The well known ellipse shape does not appear to a noticeable extent when the eccentricity is less than 5%, but the offset distance of the 'center' (in fact the focus occupied by the sun) is very noticeable even with low eccentricities as possessed by the planets.
The geocentric model was eventually replaced by the heliocentric model. However, the model of deferents and epicycles was retained because it made reasonably accurate predictions which agreed with observations more accurately than preceding systems. The epicycles of Venus and Mercury are always centered on a line between Earth and the Sun (Mercury being closer to Earth), which explained why they were always near it in the sky. The model was eventually replaced by Kepler's elliptical model only when observational methods (developed by Tycho Brahe and others) became sufficiently accurate to raise doubts about the epicycle model.
The Ptolemaic order of spheres from Earth outward is:
This order was not invented or worked out by Ptolemy, but aligns with the ancient Seven Heavens religious cosmology common to the major Eurasian religious traditions.
The deferent-and-epicycle model had been used by Greek astronomers for centuries, as had the idea of the eccentric (a deferent which is slightly off-center from the Earth). In the illustration, the center of the deferent is not the Earth but X, making it eccentric (from the Greek ἐκ ec- meaning "from," and κέντρον centrum meaning "center"). Unfortunately, the system that was available in Ptolemy's time did not quite match observations, even though it was considerably improved over Aristotle's system. Sometimes the size of a planet's retrograde loop (most notably that of Mars) would be smaller, and sometimes larger. This mismatch prompted Ptolemy to come up with the idea of an equant. The equant was a point near the center of a planet's orbit which, if you were to stand there and watch, the center of the planet's epicycle would always appear to move at the same speed. Therefore, the planet actually moved at different speeds when the epicycle was at different points on its deferent. By using an equant, Ptolemy claimed to keep motion which was uniform and circular, although it departed from the Platonic ideal of uniform circular motion. The resultant system, which eventually came to be widely accepted in the west, seems unwieldy to modern astronomers; each planet required an epicycle revolving on a deferent, offset by an equant which was different for each planet. But it predicted various celestial motions, including the beginnings and ends of retrograde motion, fairly well at the time it was developed.
Geocentrism and Islamic astronomy
In the 12th century, Arzachel departed from the ancient Greek idea of uniform circular motions by hypothesizing that the planet Mercury moves in an elliptic orbit, while Alpetragius proposed a planetary model that abandoned the equant, epicycle and eccentric mechanisms, though this resulted in a system that was mathematically less accurate. Fakhr al-Din al-Razi (1149–1209), in dealing with his conception of physics and the physical world in his Matalib, rejects the Aristotelian and Avicennian notion of the Earth's centrality within the universe, but instead argues that there are "a thousand thousand worlds (alfa alfi 'awalim) beyond this world such that each one of those worlds be bigger and more massive than this world as well as having the like of what this world has." To support his theological argument, he cites the Qur'anic verse, "All praise belongs to God, Lord of the Worlds," emphasizing the term "Worlds."
The "Maragha Revolution" refers to the Maragha school's revolution against Ptolemaic astronomy. The "Maragha school" was an astronomical tradition beginning in the Maragha observatory and continuing with astronomers from the Damascus mosque and Samarkand observatory. Like their Andalusian predecessors, the Maragha astronomers attempted to solve the equant problem (the circle around whose circumference a planet or the center of an epicycle was conceived to move uniformly) and produce alternative configurations to the Ptolemaic model without abandoning geocentrism. They were more successful than their Andalusian predecessors in producing non-Ptolemaic configurations which eliminated the equant and eccentrics, were more accurate than the Ptolemaic model in numerically predicting planetary positions, and were in better agreement with empirical observations. The most important of the Maragha astronomers included Mo'ayyeduddin Urdi (d. 1266), Nasīr al-Dīn al-Tūsī (1201–1274), Qutb al-Din al-Shirazi (1236–1311), Ibn al-Shatir (1304–1375), Ali Qushji (c. 1474), Al-Birjandi (d. 1525), and Shams al-Din al-Khafri (d. 1550). Ibn al-Shatir, the Damascene astronomer (1304–1375 AD) working at the Umayyad Mosque, wrote a major book entitled Kitab Nihayat al-Sul fi Tashih al-Usul (A Final Inquiry Concerning the Rectification of Planetary Theory) on a theory which departs largely from the Ptolemaic system known at that time. In his book, "Ibn al-Shatir, an Arab astronomer of the fourteenth century," E. S. Kennedy wrote "what is of most interest, however, is that Ibn al-Shatir's lunar theory, except for trivial differences in parameters, is identical with that of Copernicus (1473–1543 AD)." The discovery that the models of Ibn al-Shatir are mathematically identical to those of Copernicus suggests the possible transmission of these models to Europe. At the Maragha and Samarkand observatories, the Earth's rotation was discussed by al-Tusi and Ali Qushji (b. 1403); the arguments and evidence they used resemble those used by Copernicus to support the Earth's motion.
However, the Maragha school never made the paradigm shift to heliocentrism. The influence of the Maragha school on Copernicus remains speculative, since there is no documentary evidence to prove it. The possibility that Copernicus independently developed the Tusi couple remains open, since no researcher has yet demonstrated that he knew about Tusi's work or that of the Maragha school.
Geocentrism and rival systems
Not all Greeks agreed with the geocentric model. The Pythagorean system has already been mentioned; some Pythagoreans believed the Earth to be one of several planets going around a central fire. Hicetas and Ecphantus, two Pythagoreans of the 5th century BC, and Heraclides Ponticus in the 4th century BC, believed that the Earth rotated on its axis but remained at the center of the universe. Such a system still qualifies as geocentric. It was revived in the Middle Ages by Jean Buridan. Heraclides Ponticus was once thought to have proposed that both Venus and Mercury went around the Sun rather than the Earth, but this is no longer accepted. Martianus Capella definitely put Mercury and Venus in orbit around the Sun. Aristarchus of Samos was the most radical. He wrote a work, which has not survived, on heliocentrism, saying that the Sun was at the center of the universe, while the Earth and other planets revolved around it. His theory was not popular, and he had one named follower, Seleucus of Seleucia.
In 1543, the geocentric system met its first serious challenge with the publication of Copernicus' De revolutionibus orbium coelestium (On the Revolutions of the Heavenly Spheres), which posited that the Earth and the other planets instead revolved around the Sun. The geocentric system was still held for many years afterwards, as at the time the Copernican system did not offer better predictions than the geocentric system, and it posed problems for both natural philosophy and scripture. The Copernican system was no more accurate than Ptolemy's system, because it still used circular orbits. This was not altered until Johannes Kepler postulated that they were elliptical (Kepler's first law of planetary motion).
With the invention of the telescope in 1609, observations made by Galileo Galilei (such as that Jupiter has moons) called into question some of the tenets of geocentrism but did not seriously threaten it. Because he observed dark "spots" on the moon, craters, he remarked that the moon was not a perfect celestial body as had been previously conceived. This was the first time someone could see imperfections on a celestial body that was supposed to be composed of perfect aether. As such, because the moon's imperfections could now be related to those seen on Earth, one could argue that neither was unique: rather, they were both just celestial bodies made from earthlike material. Galileo could also see the moons of Jupiter, which he dedicated to Cosimo II de' Medici, and stated that they orbited around Jupiter, not Earth. This was a significant claim because if true, it would mean that not everything revolved around Earth, shattering previously held theological and scientific belief. As such, Galileo's theories challenging the geocentrism of our universe were silenced by the Church and general skepticism towards any system that did not place Earth at its center, preserving the thoughts and systems of Ptolemy and Aristotle.
In December 1610, Galileo Galilei used his telescope to observe that Venus showed all phases, just like the Moon. He thought that while this observation was incompatible with the Ptolemaic system, it was a natural consequence of the heliocentric system.
However, Ptolemy placed Venus' deferent and epicycle entirely inside the sphere of the Sun (between the Sun and Mercury), but this was arbitrary; he could just as easily have swapped Venus and Mercury and put them on the other side of the Sun, or made any other arrangement of Venus and Mercury, as long as they were always near a line running from the Earth through the Sun, such as placing the center of the Venus epicycle near the Sun. In this case, if the Sun is the source of all the light, under the Ptolemaic system:
If Venus is between Earth and the Sun, the phase of Venus must always be crescent or all dark.
If Venus is beyond the Sun, the phase of Venus must always be gibbous or full.
But Galileo saw Venus at first small and full, and later large and crescent.
This showed that with a Ptolemaic cosmology, the Venus epicycle can be neither completely inside nor completely outside of the orbit of the Sun. As a result, Ptolemaics abandoned the idea that the epicycle of Venus was completely inside the Sun, and later 17th century competition between astronomical cosmologies focused on variations of Tycho Brahe's Tychonic system (in which the Earth was still at the center of the universe, and around it revolved the Sun, but all other planets revolved around the Sun in one massive set of epicycles), or variations on the Copernican system.
Johannes Kepler, after analysing Tycho Brahe's famously accurate observations, constructed his three laws in 1609 and 1619, based on a heliocentric view where the planets move in elliptical paths. Using these laws, he was the first astronomer to successfully predict a transit of Venus (for the year 1631). The transition from circular orbits to elliptical planetary paths dramatically changed the accuracy of celestial observations and predictions. Because the heliocentric model by Copernicus was no more accurate than Ptolemy's system, new mathematical observations were needed to persuade those who still held on to the geocentric model. However, the observations made by Kepler, using Brahe's data, became a problem not easily overturned for geocentrists.
In 1687, Isaac Newton devised his law of universal gravitation, which introduced gravitation as the force that both kept the Earth and planets moving through the heavens and also kept the air from flying away, allowing scientists to quickly construct a plausible heliocentric model for the solar system. In his Principia, Newton explained his system of how gravity, previously considered to be an occult force, conducted the movements of celestial bodies, and kept our solar system in its working order. His descriptions of centripetal force were a breakthrough in scientific thought which used the newly developed differential calculus, and finally replaced the previous schools of scientific thought, i.e. those of Aristotle and Ptolemy. However, the process was gradual.
In 1838, astronomer Friedrich Wilhelm Bessel successfully measured the parallax of the star 61 Cygni, disproving Ptolemy's assertion that parallax motion did not exist. This finally substantiated the suppositions made by Copernicus with accurate, dependable scientific observations, and displayed truly how far away stars were from Earth.
A geocentric frame is useful for many everyday activities and most laboratory experiments, but is a less appropriate choice for solar-system mechanics and space travel. While a heliocentric frame is most useful in those cases, galactic and extra-galactic astronomy is easier if the sun is treated as neither stationary nor the center of the universe, but rotating around the center of our galaxy, and in turn our galaxy is also not at rest in the cosmic background.
Religious and contemporary adherence to geocentrism
The Ptolemaic model of the solar system held sway into the early modern age; from the late 16th century onward it was gradually replaced as the consensus description by the heliocentric model. Geocentrism as a separate religious belief, however, never completely died out. In the United States between 1870 and 1920, for example, various members of the Lutheran Church – Missouri Synod published articles disparaging Copernican astronomy, and geocentrism was widely taught within the synod during that period. However, in the 1902 Theological Quarterly, A. L. Graebner claimed that the synod had no doctrinal position on geocentrism, heliocentrism, or any scientific model, unless it were to contradict Scripture. He stated that any possible declarations of geocentrists within the synod did not set the position of the church body as a whole.[not in citation given]
Articles arguing that geocentrism was the biblical perspective appeared in some early creation science newsletters associated with the Creation Research Society pointing to some passages in the Bible, which, when taken literally, indicate that the daily apparent motions of the Sun and the Moon are due to their actual motions around the Earth rather than due to the rotation of the Earth about its axis for example, Joshua 10:12 where the Sun and Moon are said to stop in the sky, and Psalms 93:1 where the world is described as immobile. Contemporary advocates for such religious beliefs include Robert Sungenis (president of Bellarmine Theological Forum and author of the 2006 book Galileo Was Wrong). These people subscribe to the view that a plain reading of the Bible contains an accurate account of the manner in which the universe was created and requires a geocentric worldview. Most contemporary creationist organizations reject such perspectives.[n 12]
Morris Berman quotes survey results that show currently some 20% of the U.S. population believe that the sun goes around the Earth (geocentricism) rather than the Earth goes around the sun (heliocentricism), while a further 9% claimed not to know. Polls conducted by Gallup in the 1990s found that 16% of Germans, 18% of Americans and 19% of Britons hold that the Sun revolves around the Earth. A study conducted in 2005 by Jon D. Miller of Northwestern University, an expert in the public understanding of science and technology, found that about 20%, or one in five, of American adults believe that the Sun orbits the Earth. According to 2011 VTSIOM poll, 32% of Russians believe that the Sun orbits the Earth.
Historical positions of the Roman Catholic hierarchy
The famous Galileo affair pitted the geocentric model against the claims of Galileo. In regards to the theological basis for such an argument, two Popes addressed the question of whether the use of phenomenological language would compel one to admit an error in Scripture. Both taught that it would not. Pope Leo XIII wrote:
- we have to contend against those who, making an evil use of physical science, minutely scrutinize the Sacred Book in order to detect the writers in a mistake, and to take occasion to vilify its contents. . . . There can never, indeed, be any real discrepancy between the theologian and the physicist, as long as each confines himself within his own lines, and both are careful, as St. Augustine warns us, "not to make rash assertions, or to assert what is not known as known." If dissension should arise between them, here is the rule also laid down by St. Augustine, for the theologian: "Whatever they can really demonstrate to be true of physical nature, we must show to be capable of reconciliation with our Scriptures; and whatever they assert in their treatises which is contrary to these Scriptures of ours, that is to Catholic faith, we must either prove it as well as we can to be entirely false, or at all events we must, without the smallest hesitation, believe it to be so." To understand how just is the rule here formulated we must remember, first, that the sacred writers, or to speak more accurately, the Holy Ghost "Who spoke by them, did not intend to teach men these things (that is to say, the essential nature of the things of the visible universe), things in no way profitable unto salvation." Hence they did not seek to penetrate the secrets of nature, but rather described and dealt with things in more or less figurative language, or in terms which were commonly used at the time, and which in many instances are in daily use at this day, even by the most eminent men of science. Ordinary speech primarily and properly describes what comes under the senses; and somewhat in the same way the sacred writers-as the Angelic Doctor also reminds us – `went by what sensibly appeared," or put down what God, speaking to men, signified, in the way men could understand and were accustomed to. (Providentissimus Deus 18).
Maurice Finocchiaro, author of a book on the Galileo affair, notes that this is "a view of the relationship between biblical interpretation and scientific investigation that corresponds to the one advanced by Galileo in the "Letter to the Grand Duchess Christina". Pope Pius XII repeated his predecessor's teaching:
- The first and greatest care of Leo XIII was to set forth the teaching on the truth of the Sacred Books and to defend it from attack. Hence with grave words did he proclaim that there is no error whatsoever if the sacred writer, speaking of things of the physical order "went by what sensibly appeared" as the Angelic Doctor says, speaking either "in figurative language, or in terms which were commonly used at the time, and which in many instances are in daily use at this day, even among the most eminent men of science." For "the sacred writers, or to speak more accurately – the words are St. Augustine's –  the Holy Spirit, Who spoke by them, did not intend to teach men these things – that is the essential nature of the things of the universe – things in no way profitable to salvation"; which principle "will apply to cognate sciences, and especially to history," that is, by refuting, "in a somewhat similar way the fallacies of the adversaries and defending the historical truth of Sacred Scripture from their attacks (Divino Afflante Spiritu 3).
In 1664 Alexander VII republished the Index Librorum Prohibitorum (List of Prohibited Books) and attached the various decrees connected with those books, including those concerned with heliocentrism. He stated in a Papal Bull that his purpose in doing so was that "the succession of things done from the beginning might be made known [quo rei ab initio gestae series innotescat]."
The position of the curia evolved slowly over the centuries towards permitting the heliocentric view. In 1757, during the papacy of Benedict XIV, the Congregation of the Index withdrew the decree which prohibited all books teaching the earth's motion, although the Dialogue and a few other books continued to be explicitly included. In 1820, the Congregation of the Holy Office, with the pope's approval, decreed that Catholic astronomer Joseph Settele was allowed to treat the earth's motion as an established fact. In 1822, the Congregation of the Holy Office removed the prohibition on the publication of books treating of the earth's motion in accordance with modern astronomy and Pope Pius VII ratified the decision. The 1835 edition of the Catholic Index of Prohibited Books for the first time omits the Dialogue from the list. In a papal encyclical written in 1921 Pope Benedict XV stated that, "though this earth on which we live may not be the center of the universe as at one time was thought, it was the scene of the original happiness of our first ancestors, witness of their unhappy fall, as too of the Redemption of mankind through the Passion and Death of Jesus Christ." In 1965 the Second Vatican Council stated that, "Consequently, we cannot but deplore certain habits of mind, which are sometimes found too among Christians, which do not sufficiently attend to the rightful independence of science and which, from the arguments and controversies they spark, lead many minds to conclude that faith and science are mutually opposed." The footnote on this statement is to Msgr. Pio Paschini's, Vita e opere di Galileo Galilei, 2 volumes, Vatican Press (1964). And Pope John Paul II regretted the treatment which Galileo received, in a speech to the Pontifical Academy of Sciences in 1992. The Pope declared the incident to be based on a "tragic mutual miscomprehension". He further stated:
- Cardinal Poupard has also reminded us that the sentence of 1633 was not irreformable, and that the debate which had not ceased to evolve thereafter, was closed in 1820 with the imprimatur given to the work of Canon Settele. . . . The error of the theologians of the time, when they maintained the centrality of the earth, was to think that our understanding of the physical world's structure was, in some way, imposed by the literal sense of Sacred Scripture. Let us recall the celebrated saying attributed to Baronius "Spiritui Sancto mentem fuisse nos docere quomodo ad coelum eatur, non quomodo coelum gradiatur". In fact, the Bible does not concern itself with the details of the physical world, the understanding of which is the competence of human experience and reasoning. There exist two realms of knowledge, one which has its source in Revelation and one which reason can discover by its own power. To the latter belong especially the experimental sciences and philosophy. The distinction between the two realms of knowledge ought not to be understood as opposition.
Some Orthodox Jewish leaders, particularly the Lubavitcher Rebbe, maintain a geocentric model of the universe based on the aforementioned Biblical verses and an interpretation of Maimonides to the effect that he ruled that the earth is orbited by the sun. The Lubavitcher Rebbe also explained that geocentrism is defensible based on the theory of Relativity, which establishes that "when two bodies in space are in motion relative to one another, ... science declares with absolute certainty that from the scientific point of view both possibilities are equally valid, namely that the earth revolves around the sun, or the sun revolves around the earth."
While geocentrism is important in Maimonides' calendar calculations, the great majority of Jewish religious scholars, who accept the divinity of the Bible and accept many of his rulings as legally binding, do not believe that the Bible or Maimonides command a belief in geocentrism.
Prominent cases of modern geocentrism in Islam are very isolated. Very few individuals promoted a geocentric view of the universe. One of them was the Grand Mufti of Saudi Arabia from 1993 to 1999, Ibn Baz,who promoted the view between 1966 and 1985.
The geocentric (Ptolemaic) model of the solar system is still of interest to planetarium makers, as, for technical reasons, a Ptolemaic-type motion for the planet light apparatus has some advantages over a Copernican-type motion. The celestial sphere, still used for teaching purposes and sometimes for navigation, is also based on a geocentric system which in effect ignores parallax. However this effect is negligible at the scale of accuracy that applies to a planetarium.
Geocentric models in science fiction
Alternate history science fiction has produced some literature of interest on the proposition that some alternate universes and Earths might indeed have laws of physics and cosmologies that are Ptolemaic and Aristotelian in design. This subcategory began with Philip Jose Farmer's short story, Sail On! Sail On! (1952), where Columbus has access to radio technology, and where his Spanish-financed exploratory and trade fleet sail off the edge of the (flat) world in his geocentric alternate universe in 1492, instead of discovering North America and South America.
Richard Garfinkle's Celestial Matters (1996) is set in a more elaborated geocentric cosmos, where Earth is divided by two contending factions, the Classical Greece-dominated Delian League and the Chinese Middle Kingdom, both of which are capable of flight within an alternate universe based on Ptolemaic astronomy, Aristotle's physics and Taoist thought. Unfortunately, both superpowers have been fighting a thousand-year war since the time of Alexander the Great.
- The Egyptian universe was substantially similar to the Babylonian universe; it was pictured as a rectangular box with a north-south orientation and with a slightly concave surface, with Egypt in the center. A good idea of the similarly primitive state of Hebrew astronomy can be gained from Biblical writings, such as the Genesis creation story and the various Psalms that extol the firmament, the stars, the sun, and the earth. The Hebrews saw the earth as an almost flat surface consisting of a solid and a liquid part, and the sky as the realm of light in which heavenly bodies move. The earth rested on cornerstones and could not be moved except by Jehovah (as in an earthquake). According to the Hebrews, the sun and the moon were only a short distance from one another
- The picture of the universe in Talmudic texts has the Earth in the center of creation with heaven as a hemisphere spread over it. The Earth is usually described as a disk encircled by water. Interestingly, cosmological and metaphysical speculations were not to be cultivated in public nor were they to be committed to writing. Rather, they were considered as "secrets of the Torah not to be passed on to all and sundry" (Ketubot 112a). While study of God's creation was not prohibited, speculations about "what is above, what is beneath, what is before, and what is after" (Mishnah Hagigah: 2) were restricted to the intellectual elite. 
- Like the Midrash and the Talmud, the Targum does not think of a globe of the spherical earth, around which the sun revolves in 24 hours, but of a flat disk of the earth, above which the sun completes its semicircle in an average of 12 hours.
- "firmament - The division made by God, according to the P account of creation, to restrain the cosmic water and form the sky (Gen. 1: 6-8). Hebrew cosmology pictured a flat earth, over which was a dome-shaped firmament, supported above the earth by mountains, and surrounded by waters. Holes or sluices (windows, Gen. 7: 11) allowed the water to fall as rain. The firmament was the heavens in which God set the sun (Ps. 19: 4) and the stars (Gen. 1: 14) on the fourth day of the creation. There was more water under the earth (Gen. 1: 7) and during the Flood the two great oceans joined up and covered the earth; sheol was at the bottom of the earth (Isa. 14: 9; Num. 16: 30)."
- The cosmographical structure assumed by this text is the ancient, traditional flat earth model that was common throughout the Near East and that persisted in Jewish tradition because of its place in the religiously authoritative biblical materials.
- “The term "firmament" (רקיע- rāqîa') denotes the atmosphere between the heavenly realm and the earth (Gen. 1:6-7, 20) where the celestial bodies move (Gen. 1:14-17). It can also be used as a synonym for "heaven" (Gen. 1:8; Ps. 19:2). This "firmament is part of the heavenly structure whether it is the equivalent of "heaven/sky" or is what separates it from the earth. […] The ancient Israelites also used more descriptive terms for how God created the celestial realm, and based on the collection of these more specific and illustrative terms, I would propose that they had two basic ideas of the composition of the heavenly realm. First is the idea that the heavenly realm was imagined as a vast cosmic canopy. The verb used to describe metaphorically how God stretched out this canopy over earth is הטנ (nātāh) "stretch out," or "spread." "I made the earth, and created humankind upon it; it was my hands that stretched out the heavens, and I commanded all their host (Isa. 45:12)." In the Bible this verb is used to describe the stretching out (pitching) of a tent. Since the texts that mention the stretching out of the sky are typically drawing on creation imagery, it seems that the figure intends to suggest that the heavens are Yahweh's cosmic tent. One can imagine ancient Israelites gazing up to the stars and comparing the canopy of the sky to the roofs of the tents under which they lived. In fact, if one were to look up at the ceiling of a dark tent with small holes in the roof during the daytime, the roof, with the sunlight shining through the holes, would look very much like the night sky with all its stars. The second image of the material composition of the heavenly realm involves a firm substance. The term רקיע (răqîa'), typically translated "firmament," indicates the expanse above the earth. The root רקע means "stamp out" or "forge." The idea of a solid, forged surface fits well with Ezekiel 1 where God's throne rests upon the רקיע (răqîa'). According to Genesis 1, the רקיע(rāqîa') is the sphere of the celestial bodies (Gen. 1:6-8, 14-17; cf. ben Sira 43:8). It may be that some imagined the עיקר to be a firm substance on which the celestial bodies rode during their daily journeys across the sky.”
- In the course of the Second Temple Period Jews, and eventually Christians, began to describe the universe in new terms. The model of the universe inherited form the Hebrew Bible and the Ancient Near East of a flat earth completely surrounded by water with a heavenly realm of the gods arching above from horizon to horizon became obsolete. In the past the heavenly realm was for gods only. It was the place where all events on earth were determined by the gods, and their decisions were irrevocable. The gulf between the gods and humans could not have been greater. The evolution of Jewish cosmography in the course of the Second Temple Period followed developments in Hellenistic astronomy.
- What is described in Genesis 1:1 to 2:3 was the commonly accepted structure of the universe from at least late in the second millennium BCE to the fourth or third century BCE. It represents a coherent model for the experiences of the people of Mesopotamia through that period. It reflects a world-view that made sense of water coming from the sky and the ground as well as the regular apparent movements of the stars, sun, moon, and planets. There is a clear understanding of the restrictions on breeding between different species of animals and of the way in which human beings had gained control over what were, by then, domestic animals. There is also recognition of the ability of humans to change the environment in which they lived. This same understanding occurred also in the great creation stories of Mesopotamia; these stories formed the basis for the Jewish theological reflections of the Hebrew Scriptures concerning the creation of the world. The Jewish priests and theologians who constructed the narrative took accepted ideas about the structure of the world and reflected theologically on them in the light of their experience and faith. There was never any clash between Jewish and Babylonian people about the structure of the world, but only about who was responsible for it and its ultimate theological meaning. The envisaged structure is simple: Earth was seen as being situated in the middle of a great volume of water, with water both above and below Earth. A great dome was thought to be set above Earth (like an inverted glass bowl), maintaining the water above Earth in its place. Earth was pictured as resting on foundations that go down into the deep. These foundations secured the stability of the land as something that is not floating on the water and so could not be tossed about by wind and wave. The waters surrounding Earth were thought to have been gathered together in their place. The stars, sun, moon, and planets moved in their allotted paths across the great dome above Earth, with their movements defining the months, seasons, and year.
- From Myth to Cosmos: The earliest speculations about the origin and nature of the world took the form of religious myths. Almost all ancient cultures developed cosmological stories to explain the basic features of the cosmos: Earth and its inhabitants, sky, sea, sun, moon, and stars. For example, for the Babylonians, the creation of the universe was seen as born from a primeval pair of human-like gods. In early Egyptian cosmology, eclipses were explained as the moon being swallowed temporarily by a sow or as the sun being attacked by a serpent. For the early Hebrews, whose account is preserved in the biblical book of Genesis, a single God created the universe in stages within the relatively recent past. Such pre-scientific cosmologies tended to assume a flat Earth, a finite past, ongoing active interference by deities or spirits in the cosmic order, and stars and planets (visible to the naked eye only as points of light) that were different in nature from Earth.
- This argument is given in Book I, Chapter 5, of the Almagest.
- "All Islamic astronomers from Thabit ibn Qurra in the ninth century to Ibn al-Shatir in the fourteenth, and all natural philosophers from al-Kindi to Averroes and later, are known to have accepted ... the Greek picture of the world as consisting of two spheres of which one, the celestial sphere ... concentrically envelops the other."
- Donald B. DeYoung, for example, states that "Similar terminology is often used today when we speak of the sun's rising and setting, even though the earth, not the sun, is doing the moving. Bible writers used the 'language of appearance,' just as people always have. Without it, the intended message would be awkward at best and probably not understood clearly. When the Bible touches on scientific subjects, it is entirely accurate."
- Lawson, Russell M. (2004). Science in the Ancient World: An Encyclopedia. ABC-CLIO. pp. 29–30. ISBN 1851095349.
- Kuhn 1957, pp. 5-20.
- Abetti, Giorgio (2012). "Cosmology". Encyclopedia Americana (Online ed.). Grolier.
- Tirosh-Samuelson, Hava (2003). "Topic Overview: Judaism". In van Huyssteen, J. Wentzel Vrede. Encyclopedia of Science and Religion 2. New York: Macmillan Reference USA. pp. 477–83.
- Gandz, Solomon (1953)). "The distribution of land and sea on the Earth's surface according to Hebrew sources". Proceedings of the American Academy for Jewish Research 22: 23–53.
- Browning, W. R. F. (1997). "firmament". Dictionary of the Bible (Oxford Reference Online ed.). Oxford University Press.
- Wright, J. Edward (2000). The Early History Of Heaven. Oxford University Press. p. 155.
- Wright 2000, pp. 55-6
- Wright 2000, p. 201
- Selley, Richard C.; Cocks, L. Robin M.; Plimer, Ian R., eds. (2005). "Biblical Geology". Encyclopedia of Geology 1. Amsterdam: Elsevier. p. 253 – via Gale Virtual Reference Library.
- Applebaum, Wilbur (2009). "Astronomy and Cosmology: Cosmology". In Lerner, K. Lee; Lerner, Brenda Wilmoth. Scientific Thought: In Context 1. Detroit: Gale. pp. 20–31 – via Gale Virtual Reference Library.
- Fraser, Craig G. (2006). The Cosmos: A Historical Perspective. p. 14.
- Hetherington, Norriss S. (2006). Planetary Motions: A Historical Perspective. p. 28.
- Crowe 1990, pp. 60-2
- Goldstein, Bernard R. (1967). "The Arabic version of Ptolemy's planetary hypothesis". Transactions of the American Philosophical Society 57 (pt. 4): 6. JSTOR 1006040.
- Sabra, A. I. (1998). "Configuring the universe: Aporetic, problem solving, and kinematic modeling as themes of Arabic astronomy". Perspectives on Science 6 (3): 317–8.
- Rufus, W. C. (May 1939). "The influence of Islamic astronomy in Europe and the far east". Popular Astronomy 47 (5): 233–8.
- Hartner, Willy (1955). "The Mercury horoscope of Marcantonio Michiel of Venice"". Vistas in Astronomy 1: 118–22.
- Goldstein, Bernard R. (1972). "Theory and observation in medieval astronomy". Isis 63 (1): 41.
- "Ptolemaic Astronomy, Islamic Planetary Theory, and Copernicus's Debt to the Maragha School". Science and Its Times. Thomson Gale. 2006.
- Setia, Adi (2004). "Fakhr Al-Din Al-Razi on physics and the nature of the physical world: A preliminary survey". Islam & Science 2.
- Saliba, George (1994). A History of Arabic Astronomy: Planetary Theories During the Golden Age of Islam. New York University Press. pp. 233–234, 240. ISBN 0814780237.
- Dallal, Ahmad (1999). "Science, Medicine and Technology". In Esposito, John. The Oxford History of Islam. New York: Oxford University Press. p. 171.
- Guessoum, N. (June 2008). "Copernicus and Ibn Al-Shatir: Does the Copernican revolution have Islamic roots?". The Observatory 128: 231–9.
- Ragep, F. Jamil (2001). "Tusi and Copernicus: The Earth's motion in context". Science in Context (Cambridge University Press) 14 (1-2): 145–163.
- Ragep, F. Jamil (2001). "Freeing astronomy from philosophy: An aspect of Islamic influence on science". Osiris. 2nd Series 16 (Science in Theistic Contexts: Cognitive Dimensions): 49–64, 66–71. doi:10.1086/649338.
- Huff, Toby E. (2003). The Rise of Early Modern Science: Islam, China and the West. Cambridge University Press. p. 58. ISBN 9780521529945.
- Kirmani, M. Zaki; Singh, Nagendra Kr (2005). Encyclopaedia of Islamic Science and Scientists: A-H. Global Vision. ISBN 9788182200586.
- Johansen, K. F.; Rosenmeier, H. (1998). A History of Ancient Philosophy: From the Beginnings to Augustine. p. 43.
- Sarton, George (1953). Ancient Science Through the Golden Age of Greece. p. 290.
- Eastwood, B. S. (1992-11-01). "Heraclides and heliocentrism – Texts diagrams and interpretations". Journal for the History of Astronomy 23: 233.
- Lindberg, David C. (2010). The Beginnings of Western Science: The European Scientific Tradition in Philosophical, Religious, and Institutional Context, Prehistory to A.D. 1450 (2nd ed.). University of Chicago Press. p. 197. ISBN 9780226482040.
- Lawson 2004, p. 19
- Russell, Bertrand (2013) . A History of Western Philosophy. Routledge. p. 215. ISBN 9781134343676.
- Finocchiaro, Maurice A. (2008). The Essential Galileo. Indianapolis, IL: Hackett. p. 49.
- Densmore, Dana, ed. (2004). Selections from Newton's Principia. Green Lion Press. p. 12.
- Babinski, E. T., ed. (1995). "Excerpts from Frank Zindler's 'Report from the center of the universe' and 'Turtles all the way down'". Cretinism of Evilution (TalkOrigins Archive) (2). Retrieved 2013-12-01.
- Graebner, A. L. (1902). "Science and the church". Theological Quarterly (St. Louis, MO: Lutheran Synod of Missouri, Ohio and other states, Concordia Publishing) 6: 37-45.
- Numbers, Ronald L. (1993). The Creationists: The Evolution of Scientific Creationism. University of California Press. p. 237. ISBN 0520083938.
- Sefton, Dru (2006-03-30). "In this world view, the sun revolves around the earth". Times-News (Hendersonville, NC). p. 5A.
- DeYoung, Donald B. (1997-11-05). "Astronomy and the Bible: Selected questions and answers excerpted from the book". Answers in Genesis. Retrieved 2013-12-01.
- Berman, Morris (2006). Dark Ages America: The Final Phase of Empire. W.W. Norton & Company. ISBN 9780393058666.
- Crabtree, Steve (1999-07-06). "New Poll Gauges Americans' General Knowledge Levels". Gallup.
- "Jon D. Miller". Northwestern University website. Retrieved 2007-07-19.
- Dean, Cornelia (2005-08-30). "Scientific savvy? In U.S., not much". New York Times. Retrieved 2007-07-19.
- 'СОЛНЦЕ - СПУТНИК ЗЕМЛИ', ИЛИ РЕЙТИНГ НАУЧНЫХ ЗАБЛУЖДЕНИЙ РОССИЯН ['Sun-earth', or rating scientific fallacies of Russians] (in Russian) (Пресс-выпуск №1684 [Press release no. 1684]), ВЦИОМ [All-Russian Center for the Study of Public Opinion], 2011-02-08.
- Finocchiaro, Maurice A. (1989). The Galileo Affair: A Documentary History. Berkeley: University of California Press. p. 307. ISBN 9780520066625.
- Index librorum prohibitorum Alexandri VII (in Latin). Rome: Ex typographia Reurendae Camerae Apostolicae. 1664. p. v.
- "In Praeclara Summorum: Encyclical of Pope Benedict XV on Dante to Professors and Students of Literature and Learning in the Catholic World". Rome. 1921-04-30. § 4.
- "Pastoral Constitution on the Church in the Modern World 'Gaudium Et Spes' Promulgated by His Holiness, Pope Paul IV on December 7, 1965". § 36.
- Pope John Paul II (1992-11-04). "Faith can never conflict with reason". L'Osservatore Romano 44 (1264). (Published English translation).
- Nussbaum, Alexander (2007-12-19). "Orthodox Jews & science: An empirical study of their attitudes toward evolution, the fossil record, and modern geology". Skeptic Magazine. Retrieved 2008-12-18.
- Nussbaum, Alexander (January–April 2002). "Creationism and geocentrism among Orthodox Jewish scientists". Reports of the National Center for Science Education: 38–43.
- Schneersohn, Menachem Mendel; Gotfryd, Arnie (2003). Mind over Matter: The Lubavitcher Rebbe on Science, Technology and Medicine. Shamir. pp. 76ff.; cf. xvi-xvii, 69, 100-1, 171-2, 408ff. ISBN 9789652930804.
- "Sefer Zemanim: Kiddush HaChodesh: Chapter 11". Mishneh Torah. Translated by Touger, Eliyahu. Chabad-Lubavitch Media Center. Halacha 13-14.
- Rabinowitz, Avi (1987). "EgoCentrism and GeoCentrism; Human Significance and Existential Despair; Bible and Science; Fundamentalism and Skepticalism". Science & Religion. Retrieved 2013-12-01. Published in Branover, Herman; Attia, Ilana Coven, eds. (1994). Science in the Light of Torah: A B'Or Ha'Torah Reader. Jason Aronson. ISBN 9781568210346.
- Hort, William Jillard (1822). A General View of the Sciences and Arts. p. 182.
- Kaler, James B. (2002). The Ever-changing Sky: A Guide to the Celestial Sphere. p. 25.
- Crowe, Michael J. (1990). Theories of the World from Antiquity to the Copernican Revolution. Mineola, NY: Dover Publications. ISBN 0486261735.
- Dreyer, J.L.E. (1953). A History of Astronomy from Thales to Kepler. New York: Dover Publications.
- Evans, James (1998). The History and Practice of Ancient Astronomy. New York: Oxford University Press.
- Heath, Thomas (1913). Aristarchus of Samos. Oxford: Clarendon Press.
- Hoyle, Fred (1973). Nicolaus Copernicus.
- Koestler, Arthur (1986) . The Sleepwalkers: A History of Man's Changing Vision of the Universe. Penguin Books. ISBN 014055212X. 1990 reprint: ISBN 0140192468.
- Kuhn, Thomas S. (1957). The Copernican Revolution. Cambridge: Harvard University Press. ISBN 0674171039.
- Linton, Christopher M. (2004). From Eudoxus to Einstein—A History of Mathematical Astronomy. Cambridge: Cambridge University Press. ISBN 9780521827508.
- Walker, Christopher, ed. (1996). Astronomy Before the Telescope. London: British Museum Press. ISBN 0714117463.
- Another demonstration of the complexity of observed orbits when assuming a geocentric model of the solar system
- Geocentric Perspective animation of the Solar System in 150AD
- Ptolemy’s system of astronomy
- The Galileo Project – Ptolemaic System