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Heliocentrism

Sun-centered astronomical model

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Heliocentric universe, Harmonia Macrocosmica
Andreas Cellarius · Public domain

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Through Sun, Universe and Earth

Historically, heliocentrism was opposed to geocentrism, which placed Earth at the center. The notion that Earth revolves around the Sun had been proposed as early as the 3rd century BC by Aristarchus of Samos, who had been influenced by a concept presented by Philolaus who in the 5th century BC had the thought that Earth was spherical and revolving around a "mystical" central fire, and that this fire regulated the universe. In medieval Europe, however, Aristarchus' heliocentrism attracted little attention—possibly because of the loss of scientific works of the Hellenistic period.

It was not until the 16th century that a mathematical model of a heliocentric system was presented by the Renaissance mathematician, astronomer, and Catholic cleric, Nicolaus Copernicus, leading to the Copernican Revolution. In the following century, Johannes Kepler introduced elliptical orbits for all planets discovered up to his time (genuinely heliocentric), and Galileo Galilei presented observations of the Solar System made using his telescope.

With the observations of William Herschel, Friedrich Bessel, and other astronomers, it was realized that the Sun, while near the barycenter of the Solar System, was not central in the universe. Modern astronomy does not distinguish any universal center. After these discoveries, informal language still holds to the remaining truth value of the term, narrowed to the scope of our planetary system.

Ancient and medieval astronomy

While the sphericity of Earth was widely recognized in Greco-Roman astronomy from at least the 4th century BC, Earth's daily rotation and yearly orbit around the Sun was never universally accepted until the Copernican Revolution.

While a moving Earth was proposed at least from the 4th century BCE in Pythagoreanism, and a fully developed heliocentric model was developed by Aristarchus of Samos in the 3rd century BCE, these ideas were not successful in replacing the view of a stationary spherical Earth, and from the 2nd century CE the predominant model, which would be inherited by medieval astronomy, was the geocentric model described in Ptolemy's Almagest.

Classical antiquity

Pythagoreans

The first non-geocentric model of the universe was proposed by the Pythagorean philosopher Philolaus (d. 390 BCE), who taught that at the center of the universe was a "central fire", around which Earth, the Sun, the Moon, and planets revolved in uniform circular motion. This system postulated the existence of a Counter-Earth collinear with Earth and central fire, with the same period of revolution around the central fire as Earth. The Sun revolved around the central fire once a year, and the stars were stationary. Earth maintained the same hidden face towards the central fire, rendering both it and the "Counter-Earth" invisible from Earth. The Pythagorean concept of uniform circular motion remained unchallenged for approximately the next 2000 years, and it was to the Pythagoreans that Copernicus referred to show that the notion of a moving Earth was neither new nor revolutionary. Kepler gave an alternative explanation of the Pythagoreans' "central fire" as the Sun, "as most sects purposely hid[e] their teachings".

Heraclides of Pontus (4th century BCE) said that the rotation of Earth explained the apparent daily motion of the celestial sphere. It used to be thought that he believed Mercury and Venus to revolve around the Sun, which in turn (along with the other planets) revolves around Earth. Macrobius (CE 395—423) later described this as the "Egyptian System," stating that "it did not escape the skill of the Egyptians," though there is no other evidence it was known in ancient Egypt.

Aristarchus of Samos

The first person known to have proposed a heliocentric system was Aristarchus of Samos (c. 270 BCE). Like his contemporary Eratosthenes, Aristarchus calculated the size of Earth and measured the sizes and distances of the Sun and Moon. From his estimates, he concluded that the Sun was six to seven times wider than Earth, and thought that the larger object would have the most attractive force.

His writings on the heliocentric system are lost, but some information about them is known from a brief description by his contemporary, Archimedes, and from scattered references by later writers. Archimedes' description of Aristarchus' theory is given in the former's book, The Sand Reckoner. The entire description comprises just three sentences, which Thomas Heath translates as follows:

You are aware ['you' being King Gelon] that "universe" is the name given by most astronomers to the sphere, the centre of which is the centre of the earth, while its radius is equal to the straight line between the centre of the sun and the centre of the earth. This is the common account (τὰ γραφόμενα), as you have heard from astronomers. But Aristarchus brought out a book consisting of certain hypotheses, wherein it appears, as a consequence of the assumptions made, that the universe is many times greater than the "universe" just mentioned. His hypotheses are that the fixed stars and the sun remain unmoved, that the earth revolves about the sun in the circumference of a circle, the sun lying in the middle of the orbit, and that the sphere of the fixed stars, situated about the same centre as the sun, is so great that the circle in which he supposes the earth to revolve bears such a proportion to the distance of the fixed stars as the centre of the sphere bears to its surface.

— The Sand Reckoner (Arenarius I, 4–7)

Aristarchus presumably took the stars to be very far away since if Earth's orbit were significant relative to the size of the celestial sphere, the apparent angular separations between the stars would vary over the course of the year. The stars are in fact so far away that stellar parallax only became detectable when sufficiently powerful telescopes had been developed in the 1830s.

No references to Aristarchus' heliocentrism are known in any other writings from before the common era. The earliest of the handful of other ancient references occur in two passages from the writings of Plutarch. These mention one detail not stated explicitly in Archimedes' account—namely, that Aristarchus' theory had Earth rotating on an axis. The first of these references occurs in Concerning the Face Which Appears in the Orb of the Moon:

Only do not, my good fellow, enter an action against me for impiety in the style of Cleanthes, who thought it was the duty of Greeks to indict Aristarchus of Samos on the charge of impiety for putting in motion the Hearth of the Universe, this being the effect of his attempt to save the phenomena by supposing the heaven to remain at rest and the earth to revolve in an oblique circle, while it rotates, at the same time, about its own axis.

— Concerning the Face Which Appears in the Orb of the Moon (De facie in orbe lunae, c. 6, pp. 922 F – 923 A.)

Only scattered fragments of Cleanthes' writings have survived in quotations by other writers, but in Lives and Opinions of Eminent Philosophers, Diogenes Laërtius lists A reply to Aristarchus (Πρὸς Ἀρίσταρχον) as one of Cleanthes' works, and some scholars have suggested that this might have been where Cleanthes had accused Aristarchus of impiety.

The second of the references by Plutarch is in his Platonic Questions:

Did Plato put the earth in motion, as he did the sun, the moon, and the five planets, which he called the instruments of time on account of their turnings, and was it necessary to conceive that the earth "which is globed about the axis stretched from pole to pole through the whole universe" was not represented as being held together and at rest, but as turning and revolving (στρεφομένην καὶ ἀνειλουμένην), as Aristarchus and Seleucus afterwards maintained that it did, the former stating this as only a hypothesis (ὑποτιθέμενος μόνον), the latter as a definite opinion (καὶ ἀποφαινόμενος)?

— Platonic Questions (Platonicae Quaestiones viii. I, 1006 C)

The remaining references to Aristarchus' heliocentrism are extremely brief, and provide no more information beyond what can be gleaned from those already cited. Ones which mention Aristarchus explicitly by name occur in Aëtius' Opinions of the Philosophers, Sextus Empiricus' Against the Mathematicians, and an anonymous scholiast to Aristotle. Another passage in Aëtius' Opinions of the Philosophers reports that Seleucus the astronomer had affirmed Earth's motion, but does not mention Aristarchus.

Seleucus of Seleucia

Since Plutarch mentions the "followers of Aristarchus" in passing, it is likely that there were other astronomers in the Classical period who also espoused heliocentrism, but whose work was lost. The only other astronomer from antiquity known by name who is known to have supported Aristarchus' heliocentric model was Seleucus of Seleucia (b. 190 BCE ), a Hellenistic astronomer who flourished a century after Aristarchus in the Seleucid Empire. Seleucus was a proponent of the heliocentric system of Aristarchus. Seleucus may have proved the heliocentric theory by determining the constants of a geometric model for the heliocentric theory and developing methods to compute planetary positions using this model. He may have used early trigonometric methods that were available in his time, as he was a contemporary of Hipparchus. A fragment of a work by Seleucus has survived in Arabic translation, which was referred to by Rhazes (b. 865).

Alternatively, his explanation may have involved the phenomenon of tides, which he supposedly theorized to be caused by the attraction to the Moon and by the revolution of Earth around Earth and the Moon's center of mass.

Late antiquity

There were occasional speculations about heliocentrism in Europe before Copernicus. In Roman Carthage, the pagan Martianus Capella (5th century CE) expressed the opinion that the planets Venus and Mercury did not go about Earth but instead circled the Sun. Capella's model was discussed in the Early Middle Ages by various anonymous 9th-century commentators and Copernicus mentions him as an influence on his own work. Also Macrobius (420 CE) described a heliocentric model.

Ancient India

Aryabhata (476–550), in his magnum opus Aryabhatiya (499), propounded a planetary model in which Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the Sun. His immediate commentators, such as Lalla, and other later authors, rejected his innovative view about the turning Earth. It has been argued that Aryabhatta's calculations were based on an underlying heliocentric model, in which the planets orbit the Sun, although this has also been rebutted. The general consensus is that a synodic anomaly (depending on the position of the Sun) does not imply a physically heliocentric orbit (such corrections being also present in late Babylonian astronomical texts), and that Aryabhata's system was not explicitly heliocentric. He also made many astronomical calculations, such as the times of the solar and lunar eclipses, and the instantaneous motion of the Moon. Early followers of Aryabhata's model included Varahamihira, Brahmagupta, and Bhaskara II.

Medieval Islamic world

For a time, Muslim astronomers accepted the Ptolemaic system and the geocentric model, which were used by al-Battani to show that the distance between the Sun and Earth varies. In the 10th century, al-Sijzi accepted that Earth rotates around its axis. According to later astronomer al-Biruni, al-Sijzi invented an astrolabe called al-zūraqī based on a belief held by some of his contemporaries that the apparent motion of the stars was due to Earth's movement, and not that of the firmament. Islamic astronomers began to criticize the Ptolemaic model, including Ibn al-Haytham in his Al-Shukūk 'alā Baṭalamiyūs ("Doubts Concerning Ptolemy", c. 1028), who found contradictions in Ptolemy's model, but al-Haytham remained committed to a geocentric model.

Al-Biruni discussed the possibility of whether Earth rotated about its own axis and orbited the Sun, but in his Masudic Canon (1031), he expressed his faith in a geocentric and stationary Earth. He was aware that if Earth rotated on its axis, it would be consistent with his astronomical observations, but considered it a problem of natural philosophy rather than one of mathematics.

In the 12th century, non-heliocentric alternatives to the Ptolemaic system were developed by some Islamic astronomers, such as Nur ad-Din al-Bitruji, who considered the Ptolemaic model mathematical, and not physical. His system spread throughout most of Europe in the 13th century, with debates and refutations of his ideas continued to the 16th century.

The Maragha school of astronomy in Ilkhanid-era Persia further developed "non-Ptolemaic" planetary models involving Earth's rotation. Notable astronomers of this school are Al-Urdi (d. 1266) Al-Katibi (d. 1277), and Al-Tusi (d. 1274).

The arguments and evidence used resemble those used by Copernicus to support Earth's motion. The criticism of Ptolemy as developed by Averroes and by the Maragha school explicitly address Earth's rotation but it did not arrive at explicit heliocentrism. The observations of the Maragha school were further improved at the Timurid-era Samarkand Observatory under Qushji (1403–1474).

Medieval India

In India, Nilakantha Somayaji (1444–1544), in his Aryabhatiyabhasya, a commentary on Aryabhata's Aryabhatiya, developed a computational system for a geo-heliocentric planetary model, in which the planets orbit the Sun, which in turn orbits Earth, similar to the system later proposed by Tycho Brahe. In the Tantrasamgraha (1501), Somayaji further revised his planetary system, which was mathematically more accurate at predicting the heliocentric orbits of the interior planets than both the Tychonic and Copernican models, but did not propose any specific models of the universe. Nilakantha's planetary system also incorporated Earth's rotation on its axis. Most astronomers of the Kerala school of astronomy and mathematics seem to have accepted his planetary model.

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