Aristarchus of Samos explained

Aristarchus of Samos
Birth Date: 310 BC
Birth Place:Samos
Death Date:c. 230 BC (aged around 80)
Nationality:Greek

Aristarchus of Samos (; Greek, Ancient (to 1453);: Ἀρίσταρχος ὁ Σάμιος, Aristarkhos ho Samios;) was an ancient Greek astronomer and mathematician who presented the first known heliocentric model that placed the Sun at the center of the universe, with the Earth revolving around the Sun once a year and rotating about its axis once a day.

He likely moved to Alexandria, and he was a student of Strato of Lampsacus, who later became the third head of the Peripatetic School in Greece. According to Ptolemy, he observed the summer solstice of 280 BC.[2] Along with his contributions to the heliocentric model, as reported by Vitruvius, he created two separate sundials: one that is a flat disc; and one hemispherical.[3]

Aristarchus was influenced by the concept presented by Philolaus of Croton (c. 470 – 385 BC) of a fire at the center of the universe, but Aristarchus identified the "central fire" with the Sun and he arranged the other planets in their correct order of distance around the Sun.[4]

Like Anaxagoras before him, Aristarchus suspected that the stars were just other bodies like the Sun, albeit farther away from Earth. His astronomical ideas were often rejected in favor of the geocentric theories of Aristotle and Ptolemy. Nicolaus Copernicus knew that Aristarchus had a 'moving Earth' theory, although it is unlikely that Copernicus was aware that it was a heliocentric theory.[5]

Aristarchus estimated the sizes of the Sun and Moon as compared to Earth's size. He also estimated the distances from the Earth to the Sun and Moon. He is considered one of the greatest astronomers of antiquity along with Hipparchus.

Heliocentrism

See also: Heliocentrism.

The original text has been lost, but a reference in a book by Archimedes, entitled The Sand Reckoner (Archimedis Syracusani Arenarius & Dimensio Circuli), describes a work in which Aristarchus advanced the heliocentric model as an alternative hypothesis to geocentrism:

Aristarchus suspected the stars were other suns that are very far away,[6] and that in consequence there was no observable parallax, that is, a movement of the stars relative to each other as the Earth moves around the Sun. Since stellar parallax is only detectable with telescopes, his accurate speculation was unprovable at the time.

It is a common misconception that the heliocentric view was considered sacrilegious by the contemporaries of Aristarchus. Lucio Russo traces this to Gilles Ménage's printing of a passage from Plutarch's On the Apparent Face in the Orb of the Moon, in which Aristarchus jokes with Cleanthes, who is head of the Stoics, a sun worshipper, and opposed to heliocentrism.[7] In the manuscript of Plutarch's text, Aristarchus says Cleanthes should be charged with impiety.[7] Ménage's version, published shortly after the trials of Galileo and Giordano Bruno, transposes an accusative and nominative so that it is Aristarchus who is purported to be impious.[7] The resulting misconception of an isolated and persecuted Aristarchus is still promulgated.[7] [8]

According to Plutarch, while Aristarchus postulated heliocentrism only as a hypothesis, Seleucus of Seleucia, a Hellenistic astronomer who lived a century after Aristarchus, maintained it as a definite opinion and gave a demonstration of it,[9] but no full record of the demonstration has been found. In his Naturalis Historia, Pliny the Elder later wondered whether errors in the predictions about the heavens could be attributed to a displacement of the Earth from its central position.[10] Pliny[11] and Seneca[12] referred to the retrograde motion of some planets as an apparent (unreal) phenomenon, which is an implication of heliocentrism rather than geocentrism. Still, no stellar parallax was observed, and Plato, Aristotle, and Ptolemy preferred the geocentric model that was believed throughout the Middle Ages.

The heliocentric theory was revived by Copernicus,[13] after which Johannes Kepler described planetary motions with greater accuracy with his three laws. Isaac Newton later gave a theoretical explanation based on laws of gravitational attraction and dynamics.

After realizing that the Sun was much larger than the Earth and the other planets, Aristarchus concluded that planets revolved around the Sun.

Distance to the Sun

See main article: On the Sizes and Distances (Aristarchus).

The only known work attributed to Aristarchus, On the Sizes and Distances of the Sun and Moon, is based on a geocentric worldview. Historically, it has been read as stating that the angle subtended by the Sun's diameter is two degrees, but Archimedes states in The Sand Reckoner that Aristarchus had a value of half a degree, which is much closer to the average value of 32' or 0.53 degrees. The discrepancy may come from a misinterpretation of which unit of measure was meant by a Greek term in the text of Aristarchus.[14]

Aristarchus claimed that at half moon (first or last quarter moon), the angle between the Sun and Moon was 87°.[15] He may have proposed 87° as a lower bound, since gauging the lunar terminator's deviation from linearity to one degree of accuracy is beyond the unaided human ocular limit (which is about three arcminutes of accuracy). Aristarchus is known to have studied light and vision as well.[16]

Using correct geometry, but the insufficiently accurate 87° datum, Aristarchus concluded that the Sun was between 18 and 20 times farther away from the Earth than the Moon.[17] (The correct value of this angle is close to 89° 50', and the Sun's distance is approximately 400 times that of the Moon.) The implicit inaccurate solar parallax of slightly under three degrees was used by astronomers up to and including Tycho Brahe, c. AD 1600. Aristarchus pointed out that the Moon and Sun have nearly equal apparent angular sizes, and therefore their diameters must be in proportion to their distances from Earth.[18]

Size of the Moon and Sun

In On the Sizes and Distances of the Sun and Moon, Aristarchus discusses the size of the Moon and Sun in relation to the Earth. In order to achieve these measurements and subsequent calculations, he used several key notes made while observing a lunar eclipse.[19] The first of these consisted of the time that it took for the Earth's shadow to fully encompass the Moon, along with how long the Moon remained within the shadow. This was used to estimate the angular radius of the shadow.[20] From there, using the width of the cone that was created by the shadow in relation to the Moon, he determined that it was twice the diameter of the Moon at the full, non-central eclipse. In addition to this, Aristarchus estimated that the length of the shadow extended around 2.4 times the distance of the Moon from the Earth.

Using these calculations, along with his estimated distances of the Sun from the Earth and Moon from the Earth, he created a triangle. Employing geometry similar to that he had already used for the distances, he was able to determine that the diameter of the Moon is roughly one-third of the Earth's diameter. In order to estimate the size of the Sun, Aristarchus considered the proportion of the Sun's distance to Earth in comparison to the Moon's distance from Earth, which was found to be roughly 18 to 20 times the length. Therefore, the size of the Sun is around 19 times wider than the Moon, making it approximately six times wider than the Earth's diameter.

Legacy

The lunar crater Aristarchus, the minor planet 3999 Aristarchus, and the telescope Aristarchos are named after him.

See also

Bibliography

Further reading

External links

Notes and References

  1. Web site: Aristarchus of Samos: Mathematician and astronomer. 8 September 2015. World History. https://web.archive.org/web/20180507154131/http://www.worldhistory.biz/ancient-history/71176-aristarchus-of-samos.html. 7 May 2018. 29 November 2018.
  2. Huxley. George. 30 May 1964. Aristarchus of Samos and Graeco-Babylonian Astronomy. Greek, Roman, and Byzantine Studies. en. 5. 2. 123–131. 2159-3159.
  3. Web site: Sidoli. Nathan Camillo. 22 December 2015. Aristarchus (1), of Samos, Greek astronomer, mathematician, 3rd century BC. December 7, 2021. Oxford Classical Dictionary. en. 10.1093/acrefore/9780199381135.013.737. 978-0-19-938113-5.
  4. Book: John William Draper. Draper, John William. History of the Conflict Between Religion and Science. Joshi, S. T.. 2007. 1874. The Agnostic Reader. 172–173. Prometheus. 978-1-59102-533-7.
  5. For a (less recent) contrary view that Copernicus did know about Aristarchus's heliocentric theory see: Book: George Kish. A Source Book in Geography. 1978. Harvard University Press. 978-0-674-82270-2. 51–52. Copernicus himself admitted that the theory was attributed to Aristarchus, though this does not seem to be generally known... Here, however, there is no question of the Earth revolving around the sun, and there is no mention of Aristarchus. But it is a curious fact that Copernicus did mention the theory of Aristarchus in a passage which he later suppressed: . The Philolaus-Aristarchus passage is then given in untranslated Latin, without further comment. This is then followed by quoting in full Archimedes's passage about Aristarchus's heliocentric theory from 'The Sand Reckoner' (using its alternative title Arenarius)', seemingly without mentioning that The Sand Reckoner was not in print until a year after Copernicus's death (unless this is mentioned in a passage not shown by Google Books.).
  6. Web site: solar-center.stanford.edu . Who discovered that the Sun was a star?. 13 July 2014 . Louis Strous .
  7. Book: Russo. Lucio. Lucio Russo . Levy. Silvio . The Forgotten Revolution: How Science Was Born in 300 BC and Why it Had to Be Reborn. 13 June 2017. 2013. Springer Science & Business Media. 978-3642189043. 82, fn.106.
    Russo. Lucio . Silvio M. . Medaglia . 1996 . Sulla presunta accusa di empietà ad Aristarco di Samo . 20547344. Quaderni Urbinati di Cultura Classica. Fabrizio Serra Editore. New Series, Vol. 53. 2. 113–121. 10.2307/20547344 . it.
  8. Web site: De facie quae in orbe lunae apparet, Section 6. Plutarch. Perseus Digital Library. Tufts University. 13 June 2017.
  9. Plutarch, Platonicae quaestiones, VIII, i
  10. Book: Neugebauer, O.. Otto E. Neugebauer. A History of Ancient Mathematical Astronomy. 1975. 697–698. Springer-Verlag. Studies in the History of Mathematics and Physical Sciences. 1.
  11. Naturalis historia, II, 70
  12. Naturales quaestiones, VII, xxv, 6–7
  13. Book: Joseph A. Angelo. Encyclopedia of Space and Astronomy. 2014. Infobase Publishing. 978-1-4381-1018-9. 153.
  14. Dio: The International Journal of Scientific History. Aristarchos Unbound: Ancient Vision The Hellenistic Heliocentrists' Colossal Universe-Scale Historians' Colossal Inversion of Great & Phony Ancients History-of-Astronomy and the Moon in Retrograde!. 19. 2008. 14. Rawlins. D..
  15. Greek Mathematical Works, Loeb Classical Library, Harvard University, 1939–1941, edited by Ivor Thomas, volume 2 (1941), pp. 6–7
  16. Heath, 1913, pp. 299–300; Thomas, 1942, pp. 2–3.
  17. https://www.youtube.com/watch?v=LXHxx8L9YFo A video on reconstruction of Aristarchus' method
  18. Book: Kragh, Helge . Conceptions of cosmos: from myths to the accelerating universe: a history of cosmology . . 2007 . 26 . 978-0-19-920916-3.
  19. Hirshfeld. Alan W.. 2004. The Triangles of Aristarchus. The Mathematics Teacher. 97. 4. 228–231. 10.5951/MT.97.4.0228. 20871578. 0025-5769.
  20. Batten. Alan H.. 1981. Aristarchos of Samos. Journal of the Royal Astronomical Society of Canada. 75. 29–35. 1981JRASC..75...29B.