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Zodiac

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For the East Asian zodiac based on the Jovian orbital cycle, see Chinese zodiac. For other uses, see zodiac (disambiguation).
The Earth in its orbit around the Sun causes the Sun to appear on the celestial sphere moving along the ecliptic (red), which is tilted 23.44° with respect to the celestial equator (blue-white).

The zodiac is an area of the sky that extends approximately 8° north or south (as measured in celestial latitude) of the ecliptic, the apparent path of the Sun across the celestial sphere over the course of the year. The paths of the Moon and visible planets are also within the belt of the zodiac.[1]

In Western astrology, and formerly astronomy, the zodiac is divided into twelve signs, each occupying 30° of celestial longitude and roughly corresponding to the constellations: Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricorn, Aquarius, and Pisces.[2][3]

These astrological signs form a celestial coordinate system, or even more specifically an ecliptic coordinate system, which takes the ecliptic as the origin of latitude and the Sun's position at vernal equinox as the origin of longitude.[4]

Name

The English word zodiac derives from zōdiacus, the Latinized form of the Ancient Greek zōidiakòs kýklos (ζῳδιακός κύκλος), meaning "cycle or circle of little animals". Zōidion (ζῴδιον) is the diminutive of zōion (ζῷον, "animal"). The name reflects the prominence of animals (and mythological hybrids) among the twelve signs.

Usage

Modern zodiac wheel showing the 12 signs used in horoscopic astrology

The zodiac was in use by the Roman era, based on concepts inherited by Hellenistic astronomy from Babylonian astronomy of the Chaldean period (mid-1st millennium BC), which, in turn, derived from an earlier system of lists of stars along the ecliptic.[5] The construction of the zodiac is described in Ptolemy's vast 2nd century AD work, the Almagest.[6]

Although the zodiac remains the basis of the ecliptic coordinate system in use in astronomy besides the equatorial one,[7] the term and the names of the twelve signs are today mostly associated with horoscopic astrology.[8] The term "zodiac" may also refer to the region of the celestial sphere encompassing the paths of the planets corresponding to the band of about 8 arc degrees above and below the ecliptic. The zodiac of a given planet is the band that contains the path of that particular body; e.g., the "zodiac of the Moon" is the band of 5° above and below the ecliptic. By extension, the "zodiac of the comets" may refer to the band encompassing most short-period comets.[9]

History

Further information: Former constellations

Early history

A 6th century mosaic zodiac wheel in a synagogue, incorporating Greek-Byzantine elements, Beit Alpha, Israel
Zodiac circle with planets, c.1000 – NLW MS 735C
Further information: Babylonian star catalogues and MUL.APIN

The division of the ecliptic into the zodiacal signs originates in Babylonian ("Chaldean") astronomy during the first half of the 1st millennium BC. The zodiac draws on stars in earlier Babylonian star catalogues, such as the MUL.APIN catalogue, which was compiled around 1000 BC. Some constellations can be traced even further back, to Bronze Age (First Babylonian dynasty) sources, including Gemini "The Twins," from MAŠ.TAB.BA.GAL.GAL "The Great Twins," and Cancer "The Crab," from AL.LUL "The Crayfish," among others.[citation needed]

Around the end of the 5th century BC, Babylonian astronomers divided the ecliptic into 12 equal "signs", by analogy to 12 schematic months of 30 days each. Each sign contained 30° of celestial longitude, thus creating the first known celestial coordinate system. According to calculations by modern astrophysics, the zodiac was introduced between 409-398 BC and probably within a very few years of 401 BC.[10] Unlike modern astronomers, who place the beginning of the sign of Aries at the place of the Sun at the vernal equinox, Babylonian astronomers fixed the zodiac in relation to stars, placing the beginning of Cancer at the "Rear Twin Star" (β Geminorum) and the beginning of Aquarius at the "Rear Star of the Goat-Fish" (δ Capricorni).[11]

The divisions don't correspond exactly to where the constellations started and ended in the sky; this would have resulted in an irregular division. The Sun in fact passed through at least 13, not 12 Babylonian constellations. In order to align with the number of months in a year, designers of the system omitted the major constellation Ophiuchus.[12] Including smaller figures, astronomers have counted up to 21 eligible zodiac constellations. Changes in the orientation of the Earth's axis of rotation also means that the time of year the Sun is in a given constellation has changed since Babylonian times.[13]

Because the division was made into equal arcs, 30° each, they constituted an ideal system of reference for making predictions about a planet's longitude. However, Babylonian techniques of observational measurements were in a rudimentary stage of evolution.[14] They measured the position of a planet in reference to a set of "normal stars" close to the ecliptic (±9° of latitude) as observational reference points to help positioning a planet within this ecliptic coordinate system.[15]

In Babylonian astronomical diaries, a planet position was generally given with respect to a zodiacal sign alone, less often in specific degrees within a sign.[16] When the degrees of longitude were given, they were expressed with reference to the 30° of the zodiacal sign, i.e., not with a reference to the continuous 360° ecliptic.[17] In astronomical ephemerides, the positions of significant astronomical phenomena were computed in sexagesimal fractions of a degree (equivalent to minutes and seconds of arc).[18] For daily ephemerides, the daily positions of a planet were not as important as the astrologically significant dates when the planet crossed from one zodiacal sign to the next.[19]

Hebrew astronomy and astrology

Knowledge of the Babylonian zodiac is also reflected in the Hebrew Bible; E. W. Bullinger interpreted the creatures appearing in the book of Ezekiel as the middle signs of the 4 quarters of the Zodiac,[20][21] with the Lion as Leo, the Bull is Taurus, the Man representing Aquarius and the Eagle representing Scorpio.[22] Some authors have linked the twelve tribes of Israel with the same signs, and/or the lunar Hebrew calendar having 12 lunar months in a lunar year. Martin and others have argued that the arrangement of the tribes around the Tabernacle (reported in the Book of Numbers) corresponded to the order of the Zodiac, with Judah, Reuben, Ephraim, and Dan representing the middle signs of Leo, Aquarius, Taurus, and Scorpio, respectively. Such connections were taken up by Thomas Mann, who in his novel Joseph and His Brothers attributes characteristics of a sign of the zodiac to each tribe in his rendition of the Blessing of Jacob.[citation needed]

Hellenistic and Roman era

The 1st century BC Dendera zodiac (19th-century engraving)

The Babylonian star catalogs entered Greek astronomy in the 4th century BC, via Eudoxus of Cnidus.[23][24] Babylonia or Chaldea in the Hellenistic world came to be so identified with astrology that "Chaldean wisdom" became among Greeks and Romans the synonym of divination through the planets and stars. Hellenistic astrology derived in part from Babylonian and Egyptian astrology.[25] Horoscopic astrology first appeared in Ptolemaic Egypt (305 BC–30 BC). The Dendera zodiac, a relief dating to ca. 50 BC, is the first known depiction of the classical zodiac of twelve signs.

The earliest extant Greek text using the Babylonian division of the zodiac into 12 signs of 30 equal degrees each is the Anaphoricus of Hypsicles of Alexandria (fl. 190 BC).[26] Particularly important in the development of Western horoscopic astrology was the astrologer and astronomer Ptolemy, whose work Tetrabiblos laid the basis of the Western astrological tradition.[27] Under the Greeks, and Ptolemy in particular, the planets, Houses, and signs of the zodiac were rationalized and their function set down in a way that has changed little to the present day.[28] Ptolemy lived in the 2nd century AD, three centuries after the discovery of the precession of the equinoxes by Hipparchus around 130 BC. Hipparchus's lost work on precession never circulated very widely until it was brought to prominence by Ptolemy,[29] and there are few explanations of precession outside the work of Ptolemy until late Antiquity, by which time Ptolemy's influence was widely established.[30] Ptolemy clearly explained the theoretical basis of the western zodiac as being a tropical coordinate system, by which the zodiac is aligned to the equinoxes and solstices, rather than the visible constellations that bear the same names as the zodiac signs.[31]

Hindu zodiac

According to mathematician-historian Montucla, the Hindu zodiac was adopted from Greek zodiac through communications between ancient India and Greek empire of Bactria.[32] The Hindu zodiac uses the sidereal coordinate system, which makes reference to the fixed stars. The Tropical zodiac (of Mesopotamian origin) is divided by the intersections of the ecliptic and equator, which shifts in relation to the backdrop of fixed stars at a rate of 1° every 72 years, creating the phenomenon known as precession of the equinoxes. The Hindu zodiac, being sidereal, does not maintain this seasonal alignment, but there are still similarities between the two systems. The Hindu zodiac signs and corresponding Greek signs sound very different, being in Sanskrit and Greek respectively, but their symbols are nearly identical.[33] For example, dhanu means "bow" and corresponds to Sagittarius, the "archer", and kumbha means "water-pitcher" and corresponds to Aquarius, the "water-carrier".[34]

Middle Ages

Angers Cathedral South Rose Window of Christ (centre) with elders (bottom half) and Zodiac (top half). Medieval stained glass by Andre Robin after the fire of 1451

The High Middle Ages saw a revival of interest in Greco-Roman magic, first in Kabbalism and later continued in Renaissance magic. This included magical uses of the zodiac, as found, e.g., in the Sefer Raziel HaMalakh.

The zodiac is found in medieval stained glass as at Angers Cathedral, where the master glassmaker, André Robin, made the ornate rosettes for the North and South transepts after the fire there in 1451.[35]

Mughal king Jahangir issued an attractive series of coins in gold and silver depicting the twelve signs of the Zodiac.[36]

Early modern

The zodiac signs in a 16th-century woodcut
A volvella of the moon. A volvella is a moveable device for working out the position of the Sun and Moon in the zodiac, 15th century
17th-century fresco of Christ in the Zodiac circle, Cathedral of Living Pillar, Georgia

An example of the use of signs as astronomical coordinates may be found in the Nautical Almanac and Astronomical Ephemeris for the year 1767. The "Longitude of the Sun" columns show the sign (represented as a digit from 0 to and including 11), degrees from 0 to 29, minutes, and seconds.[37]

The zodiac symbols are Early Modern simplifications of conventional pictorial representations of the signs, attested since Hellenistic times.

Twelve signs

Main article: Astrological sign

What follows is a list of the signs of the modern zodiac (with the ecliptic longitudes of their first points), where 0° Aries is understood as the vernal equinox, with their Latin, Greek, Sanskrit, and Babylonian names. But note that the Sanskrit and the name equivalents (after c.500 BC) denote the constellations only, not the tropical zodiac signs. Also, the "English translation" isn't usually used by English speakers. Latin names are standard English usage.

No. Symbol Long. Latin name English translation Greek name (Romanization of Greek) Sanskrit name Sumero-Babylonian name[38]
1 ♈ 0° Aries Ram Κριός (Krios) Meṣa (मेष) MUL LU.ḪUN.GA[39] "Agrarian Worker", Dumuzi
2 ♉ 30° Taurus Bull Ταῦρος (Tauros) Vṛṣabha (वृषभ) MULGU4.AN.NA "Divine Bull of Heaven"
3 ♊ 60° Gemini Twins Δίδυμοι (Didymoi) Mithuna (मिथुन) MULMAŠ.TAB.BA.GAL.GAL "Great Twins" (Castor & Pollux)
4 ♋ 90° Cancer Crab Καρκίνος (Karkinos) Karka (कर्क) MULAL.LUL "Crayfish"
5 ♌ 120° Leo Lion Λέων (Leōn) Siṃha (सिंह) MULUR.GU.LA "Lion"
6 ♍ 150° Virgo Maiden Παρθένος (Parthenos) Kanyā (कन्या) MULAB.SIN "The Furrow"* *"The goddess Shala's ear of grain"
7 ♎ 180° Libra Scales Ζυγός (Zygos) Tulā (तुला) MULZIB.BA.AN.NA "Scales"
8 ♏ 210° Scorpio Scorpion Σκoρπίος (Skorpios)[40] Vṛścika (वृश्चिक) MULGIR.TAB "Scorpion"
9 ♐ 240° Sagittarius (Centaur) Archer Τοξότης (Toxotēs) Dhanuṣa (धनुष) MULPA.BIL.SAG, Nedu "soldier"
10 ♑ 270° Capricorn Mountain Goat or "Goat-horned" Sea-Goat Αἰγόκερως (Aigokerōs) Makara (मकर) MULSUḪUR.MAŠ "Goat-Fish" of Enki
11 ♒ 300° Aquarius Water-Bearer Ὑδροχόος (Hydrokhoos) Kumbha (कुंभ) MULGU.LA "Great One", later qâ "pitcher"
12 ♓ 330° Pisces 2 Fishes[41] Ἰχθύες (Ikhthyes) Mīna (मीन) MULSIM.MAḪ "Tail of the Swallow"; DU.NU.NU "fish-cord"
18th c. star map illustrating how the feet of Ophiuchus cross the ecliptic.

Constellations

Equirectangular plot of declination vs right ascension of the modern constellations with a dotted line denoting the ecliptic. Constellations are colour-coded by family and year established. (detailed view)

The zodiacal signs are distinct from the constellations associated with them, not only because of their drifting apart due to the precession of equinoxes but also because the physical constellations take up varying widths of the ecliptic, so the Sun is not in each constellation for the same amount of time.[42]:25 Thus, Virgo takes up 5 times as much ecliptic longitude as Scorpius. The zodiacal signs are an abstraction from the physical constellations, and each represent exactly one 12th of the full circle, but the time spent by the Sun in each sign varies slightly due to the eccentricity of the Earth's orbit

The path of the Sun passes through 13 constellations recognized by ancient Babylonian, Greek, and Roman astronomers (including in Ptolemy's Almagest)[43][44] and the modern International Astronomical Union. Because the Babylonians had a 12-month lunar calendar, they chose and divided up the year evenly. The 13th was left out: Ophiuchus, the bottom part of which interjects between Scorpio and Sagittarius.

Occasionally this difference between the astronomical constellations and the astrological signs is mistakenly reported in the popular press as a "change" to the list of traditional signs by some astronomical body like the IAU, NASA, or the Royal Astronomical Society. This happened in a 1995 report of the BBC Nine O'Clock News and various reports in 2011 and 2016.[45][46][47] Professional astronomers generally consider astrology a pseudoscience which has been disproven by scientific experimentation. For example, in drawing a distinction between astrology and scientific astronomy, NASA notes that "No one has shown that astrology can be used to predict the future or describe what people are like based on their birth dates."[48]

Some "parazodiacal" constellations are also touched by the paths of the planets, leading to counts of up to 25 "constellations of the zodiac".[49] The ancient Babylonian MUL.APIN catalog lists Orion, Perseus, Auriga, and Andromeda. Modern astronomers have noted that planets also pass through Crater, Sextans, Cetus, Pegasus, Corvus, Hydra, and Scutum; with Venus very rarely passing through Aquila, Canis Minor, Auriga, and Serpens.[49]

Astrophotos of the twelve zodiac constellations

Some other constellations are also mythologically associated with the zodiacal ones: Piscis Austrinus, The Southern Fish, is attached to Aquarius. In classical maps, it swallows the stream poured out of Aquarius' pitcher, but perhaps it formerly just swam in it. Aquila, The Eagle, was possibly associated with the zodiac by virtue of its main star, Altair.[citation needed] Hydra in the Early Bronze Age marked the celestial equator and was associated with Leo, which is shown standing on the serpent on the Dendera zodiac.[citation needed] Corvus is the Crow or Raven mysteriously perched on the tail of Hydra.

Table of dates

Sculpture showing Castor and Pollux, the legend behind the third astrological sign in the Zodiac and the constellation of Gemini
Southern hemisphere constellations from a western scientific manuscript c.1000

The following table compares the Gregorian dates on which the Sun enters:

  • a sign in the Ptolemaic tropical zodiac
  • a sign in the Hindu sidereal system (date given below may change by one or two days each year)
  • the astronomical constellation of the same name as the sign, with constellation boundaries as defined in 1930 by the International Astronomical Union.

The theoretical beginning of Aries is the moment of vernal equinox, and all other dates shift accordingly.[50]

The precise Gregorian times and dates vary slightly from year to year as the Gregorian calendar shifts relative to the tropical year.[51] These variations remain within less than two days' difference in the recent past and the near-future, vernal equinox in UT always falling either on 20 or 21 March in the period of 1797 to 2043, falling on 19 March in 1796 the last time and in 2044 the next. Except for 2003 and 2007, the vernal equinox has started on 20 March since 1980, and is projected to until 2043.[52]

Sign Constellation
Name Symbol[53] Tropical zodiac[54][55] Sidereal zodiac[citation needed] Name IAU boundaries[56] Solar stay[56] Brightest star
Aries Aries 21 March –
20 April 		15 April –
15 May 		Aries 19 April – 13 May 25 days Hamal
Taurus Taurus 20 April –
21 May 		16 May –
15 June 		Taurus 14 May – 19 June 37 days Aldebaran
Gemini Gemini 21 May –
21 June 		16 June –
15 July 		Gemini 20 June – 20 July 31 days Pollux
Cancer Cancer 21 June –
23 July 		16 July –
15 August 		Cancer 21 July – 9 August 20 days Al Tarf
Leo Leo 23 July –
23 August 		16 August –
15 September 		Leo 10 August – 15 September 37 days Regulus
Virgo Virgo 23 August –
23 September 		16 September –
15 October 		Virgo 16 September – 30 October 45 days Spica
Libra Libra 23 September –
23 October 		16 October –
16 November 		Libra 31 October – 22 November 23 days Zubeneschamali
Scorpio Scorpio 23 October –
22 November 		17 November –
15 December 		Scorpius 23 November – 29 November 7 days Antares
Ophiuchus Ophiuchus N/A Ophiuchus 30 November – 17 December 18 days Rasalhague
Sagittarius Sagittarius 22 November –
22 December 		16 December –
14 January 		Sagittarius 18 December – 18 January 32 days Kaus Australis
Capricorn Capricornus 22 December –
20 January 		15 January –
14 February 		Capricornus 19 January – 15 February 28 days Deneb Algedi
Aquarius Aquarius 20 January –
19 February 		15 February –
14 March 		Aquarius 16 February – 11 March 24 days Sadalsuud
Pisces Pisces 19 February –
21 March 		15 March –
14 April 		Pisces 12 March – 18 April 38 days Eta Piscium

Because the Earth's axis is at an angle, some signs take longer to rise than others, and the farther away from the equator the observer is situated, the greater the difference. Thus, signs are spoken of as "long" or "short" ascension.[57]

Precession of the equinoxes

Further information: Axial precession, Epoch (astronomy), Sidereal and tropical astrology, Astrological age, and Ayanamsa
Path taken by the point of vernal equinox along the ecliptic over the past 6,000 years

The zodiac system was developed in Babylonia, some 2,500 years ago, during the "Age of Aries".[58] At the time, it is assumed, the precession of the equinoxes was unknown. Contemporary use of the coordinate system is presented with the choice of interpreting the system either as sidereal, with the signs fixed to the stellar background, or as tropical, with the signs fixed to the point (vector of the Sun) at the March equinox.[59]

Western astrology takes the tropical approach, whereas Hindu astrology takes the sidereal one. This results in the originally unified zodiacal coordinate system drifting apart gradually, with a clockwise (westward) precession of 1.4 degrees per century.

For the tropical zodiac used in Western astronomy and astrology, this means that the tropical sign of Aries currently lies somewhere within the constellation Pisces ("Age of Pisces").

The sidereal coordinate system takes into account the ayanamsa, ayan meaning transit or movement, and amsa meaning small part, i.e. movement of equinoxes in small parts. It is unclear when Indians became aware of the precession of the equinoxes, but Bhaskara 2's 12th-century treatise Siddhanta Shiromani gives equations for measurement of precession of equinoxes, and says his equations are based on some lost equations of Suryasiddhanta plus the equation of Munjaala.

The discovery of precession is attributed to Hipparchus around 130 BC. Ptolemy quotes from Hipparchus' now lost work entitled "On the Displacement of the Solstitial and Equinoctial Points" in the seventh book of his 2nd century astronomical text, Almagest, where he describes the phenomenon of precession and estimates its value.[29] Ptolemy clarified that the convention of Greek mathematical astronomy was to commence the zodiac from the point of the vernal equinox and to always refer to this point as "the first degree" of Aries.[60] This is known as the "tropical zodiac" (from the Greek word trópos, turn)[61] because its starting point revolves through the circle of background constellations over time.

The principle of the vernal point acting as the first degree of the zodiac for Greek astronomers is also described in the 1st century BC astronomical text of Geminus of Rhodes. Geminus explains that Greek astronomers of his era associate the first degrees of the zodiac signs with the two solstices and the two equinoxes, in contrast to the older Chaldean (Babylonian) system, which placed these points within the zodiac signs.[60] This illustrates that Ptolemy merely clarified the convention of Greek astronomers and did not originate the principle of the tropical zodiac, as is sometimes assumed.

Ptolemy also demonstrates that the principle of the tropical zodiac was well known to his predecessors within his astrological text, the Tetrabiblos, where he explains why it would be an error to associate the regularly spaced signs of the seasonally aligned zodiac with the irregular boundaries of the visible constellations:

The beginnings of the signs, and likewise those of the terms, are to be taken from the equinoctial and tropical points. This rule is not only clearly stated by writers on the subject, but is also especially evident by the demonstration constantly afforded, that their natures, influences and familiarities have no other origin than from the tropics and equinoxes, as has been already plainly shown. And, if other beginnings were allowed, it would either be necessary to exclude the natures of the signs from the theory of prognostication, or impossible to avoid error in then retaining and making use of them; as the regularity of their spaces and distances, upon which their influence depends, would then be invaded and broken in upon.[31]

In modern astronomy

Astronomically, the zodiac defines a belt of space extending 9° either side of the ecliptic, within which the orbits of the Moon and the principal planets remain.[62] It is a feature of a celestial coordinate system centered upon the ecliptic, (the plane of the Earth's orbit and the Sun's apparent path), by which celestial longitude is measured in degrees east of the vernal equinox (the ascending intersection of the ecliptic and equator).[63] Stars within the zodiac are subject to occultations by the Moon and other solar system bodies. These events can be useful, for example, to estimate the cross-sectional dimensions of a minor planet, or check a star for a close companion.[64]

The Sun's placement upon the vernal equinox, which occurs annually around 21 March, defines the starting point for measurement, the first degree of which is historically known as the "first point of Aries". The first 30° along the ecliptic is nominally designated as the zodiac sign Aries, which no longer falls within the proximity of the constellation Aries since the effect of precession is to move the vernal point through the backdrop of visible constellations (it is currently located near the end of the constellation Pisces, having been within that constellation since the 2nd century AD).[65] The subsequent 30° of the ecliptic is nominally designated the zodiac sign Taurus, and so on through the twelve signs of the zodiac so that each occupies 1/12th (30°) of the zodiac's great circle. Zodiac signs have never been used to determine the boundaries of astronomical constellations that lie in the vicinity of the zodiac, which are, and always have been, irregular in their size and shape.[62]

The convention of measuring celestial longitude within individual signs was still being used in the mid-19th century,[66] but modern astronomy now numbers degrees of celestial longitude from 0° to 360°, rather than 0° to 30° within each sign.

The use of the zodiac as a means to determine astronomical measurement remained the main method for defining celestial positions by Western astronomers until the Renaissance, at which time preference moved to the equatorial coordinate system, which measures astronomical positions by right ascension and declination rather than the ecliptic-based definitions of celestial longitude and celestial latitude.[65]

The word "zodiac" is also used in reference to the zodiacal cloud of dust grains that move among the planets, and the zodiacal light that originates from their scattering of sunlight.

Unicode characters

In Unicode, the symbols of zodiac signs are encoded in block "Miscellaneous Symbols":[53]

  1. U+2648 ♈ ARIES (HTML ♈)
  2. U+2649 ♉ TAURUS (HTML ♉)
  3. U+264A ♊ GEMINI (HTML ♊)
  4. U+264B ♋ CANCER (HTML ♋)
  5. U+264C ♌ LEO (HTML ♌)
  6. U+264D ♍ VIRGO (HTML ♍)
  7. U+264E ♎ LIBRA (HTML ♎)
  8. U+264F ♏ SCORPIUS (HTML ♏)
  9. U+2650 ♐ SAGITTARIUS (HTML ♐)
  10. U+2651 ♑ CAPRICORN (HTML ♑)
  11. U+2652 ♒ AQUARIUS (HTML ♒)
  12. U+2653 ♓ PISCES (HTML ♓)
  13. U+26CE ⛎ OPHIUCHUS (HTML ⛎)

See also

References

  1. ^ "zodiac". Oxford Dictionaries. Oxford University Press. Retrieved 19 September 2017.
  2. ^ Because the signs are each 30° in longitude but constellations have irregular shapes, and because of precession, they do not correspond exactly to the boundaries of the constellations after which they are named.
  3. ^ Noble, William (1902), "Papers communicated to the Association. The Signs of the Zodiac.", Journal of the British Astronomical Association, 12: 242–244, Bibcode:1902JBAA...12..242N
  4. ^ Leadbetter, Charles (1742), A Compleat System of Astronomy, J. Wilcox, London, p. 94; numerous examples of this notation appear throughout the book.
  5. ^ See MUL.APIN. See also Lankford, John; Rothenberg, Marc (1997). History of Astronomy: An Encyclopedia. Taylor & Francis. p. 43. ISBN 978-0-8153-0322-0.
  6. ^ Ptolemy, Claudius (1998). The Almagest. Princeton, New Jersey: Princeton University Press. ISBN 0-691-00260-6. Translated and annotated by G. J. Toomer; with a foreword by Owen Gingerich.
  7. ^ Shapiro, Lee T. "Constellations in the zodiac." NASA. 27 April 2011.
  8. ^ B. L. van der Waerden, "History of the zodiac", Archiv für Orientforschung 16 (1953) 216–230.
  9. ^ OED, citing J. Harris, Lexicon Technicum (1704): "Zodiack of the Comets, Cassini hath observed a certain Tract [...] within whose Bounds [...] he hath found most Comets [...] to keep."
  10. ^ Britton, John P. (2010), "Studies in Babylonian lunar theory: part III. The introduction of the uniform zodiac", Archive for History of Exact Sciences, 64 (6): 617–663, doi:10.1007/S00407-010-0064-Z, JSTOR 41134332, [T]he zodiac was introduced between −408 and −397 and probably within a very few years of −400.
  11. ^ Steele, John M. (2012) [2008], A Brief Introduction to Astronomy in the Middle East (electronic ed.), London: Saqi, ISBN 9780863568961
  12. ^ Constellations and the Calendar
  13. ^ Plait, Phil (26 September 2016), "No, NASA hasn't changed the zodiac signs or added a new one", Bad Astronomy
  14. ^ Sachs (1948), p. 289.
  15. ^ Aaboe, Asger H. (2001), Episodes from the Early History of Astronomy, New York: Springer, pp. 37–38, ISBN 9780387951362
  16. ^ Rochberg, Francesca (1988), Babylonian Horoscopes, Transactions of the American Philosophical Society, 88, American Philosophical Society, pp. i–164, doi:10.2307/1006632, JSTOR 1006632
  17. ^ Rochberg, Francesca (1988), Babylonian Horoscopes, Transactions of the American Philosophical Society, 88, American Philosophical Society, pp. i–164, doi:10.2307/1006632, JSTOR 1006632
  18. ^ Aaboe, Asger H. (2001), Episodes from the Early History of Astronomy, New York: Springer, pp. 41–45, ISBN 9780387951362
  19. ^ Rochberg, Francesca (1988), Babylonian Horoscopes, Transactions of the American Philosophical Society, 88, American Philosophical Society, pp. i–164, doi:10.2307/1006632, JSTOR 1006632
  20. ^ E.W. Bullinger, The Witness of the Stars
  21. ^ D. James Kennedy, The Real Meaning of the Zodiac.
  22. ^ Richard Hinckley Allen, Star Names: Their Lore and Meaning, Vol. 1 (New York: Dover Publications, 1899, p. 213-215.) argued for Scorpio having previously been called Eagle. for Scorpio.
  23. ^ Rogers, John H. "Origins of the ancient constellations: I. The Mesopotamian traditions." Journal of the British Astronomical Assoc. 108.1 (1998): 9–28. Astronomical Data Service.
  24. ^ Rogers, John H. "Origins of the ancient constellations: II. The Mesopotamian traditions." Journal of the British Astronomical Assoc. 108.2 (1998): 79–89. Astronomical Data Service.
  25. ^ Powell, Robert, Influence of Babylonian Astronomy on the Subsequent Defining of the Zodiac (2004), PhD thesis, summarized by anonymous editor, Archived 21 May 2009 at the Wayback Machine.
  26. ^ Montelle, Clemency (2016), "The Anaphoricus of Hypsicles of Alexandria", in Steele, John M. (ed.), The Circulation of Astronomical Knowledge in the Ancient World, Time, Astronomy, and Calendars: Texts and Studies, 6, Leiden: Brill, pp. 287–315, ISBN 978-90-0431561-7
  27. ^ Saliba, George, 1994. A History of Arabic Astronomy: Planetary Theories During the Golden Age of Islam. New York: New York University Press. ISBN 978-0-8147-8023-7. Page 67.
  28. ^ Derek and Julia Parker, Ibid, p16, 1990
  29. ^ a b Graßhoff, Gerd (1990). The History of Ptolemy's Star Catalogue. Springer. p. 73. ISBN 9780387971810.
  30. ^ Evans, James; Berggren, J. Lennart (2006). Geminos's Introduction to the Phenomena. Princeton University Press. p. 113. ISBN 069112339X.
  31. ^ a b Ashmand, J. M. Ptolemy's Tetrabiblos. Astrology Classics. p. 37 (I.XXV).
  32. ^ James Mill (1817). The History of British India. Baldwin, Cradock, and Joy. p. 409.
  33. ^ Schmidt, Robert H. "The Relation of Hellenistic to Indian Astrology". Project Hindsight. Retrieved 4 July 2016.
  34. ^ Dalal, Roshen (2010). Hinduism: An Alphabetical Guide. Penguin Books India. p. 89. ISBN 978-0-14-341421-6.
  35. ^ King, David. 'Angers Cathedral’, (book review of Karine Boulanger’s 2010 book, Les Vitraux de la Cathédrale d’Angers, the 11th volume of the Corpus Vitrearum series from France), Vitemus: the only on-line magazine devoted to medieval stained glass, Issue 48, February 2011, retrieved 17 December 2013.
  36. ^ http://coinindia.com/galleries-jahangir.html
  37. ^ Nautical Almanac and Astronomical Ephemeris for the year 1767. London: Board of Longitude, 1766.
  38. ^ MUL.APIN; Peter Whitfield, History of Astrology (2001); W. Muss-Arnolt, The Names of the Assyro-Babylonian Months and Their Regents, Journal of Biblical Literature (1892).
  39. ^ http://oracc.iaas.upenn.edu/ccpo/cbd/qpn/qpn.x0000076.html
  40. ^ Alternative form: Σκορπίων Skorpiōn. Later form (with synizesis): Σκορπιός.
  41. ^ American Heritage Dictionary of the English Language 3rd ed., s.v. "Pisces."
  42. ^ James, Edward W. (1982). Patrick Grim (ed.). Philosophy of science and the occult. Albany: State University of New York Press. ISBN 0873955722.
  43. ^ Peters, Christian Heinrich Friedrich and Edward Ball Knobel. Ptolemy's Catalogue of Stars: a revision of the Almagest Archived 29 August 2013 at the Wayback Machine. Carnegie Institution of Washington, 1915.
  44. ^ Ptolemy (1982) [2nd cent.]. "VII.5". In R. Catesby Taliaferro (ed.). Almagest. p. 239. Ptolemy refers to the constellation as Septentarius "the serpent holder".
  45. ^ Kollerstrom, N. (October 1995). "Ophiuchus and the media". The Observatory. KNUDSEN; OBS. 115: 261–262. Bibcode:1995Obs...115..261K.
  46. ^ The notion received further international media attention in January 2011, when it was reported that astronomer Parke Kunkle, a board-member of the Minnesota Planetarium Society, had suggested that Ophiuchus was the zodiac's "13th sign". He later issued a statement to say he had not reported that the zodiac ought to include 13 signs instead of 12, but was only mentioning that there were 13 constellations; reported in Mad Astronomy: Why did your zodiac sign change? 13 January 2011.
  47. ^ Plait, Phil (26 September 2016). "No, NASA Didn't Change Your Astrological Sign".
  48. ^ NASA (20 September 2016). "Constellations and the Calendar".
  49. ^ a b Mosley, John (2011). "The Real, Real Constellations of the Zodiac". International Planetarium Society. Retrieved 21 March 2017.
  50. ^ https://usm.maine.edu/planet/why-vernal-equinox-called-first-point-aries-when-sun-actually-pisces-date
  51. ^ The Gregorian calendar is built to satisfy the First Council of Nicaea, which placed vernal equinox is on 21 March, but it is not possible to keep it on a single day within a reasonable system of leap days.
  52. ^ See Jean Meeus, Astronomical Tables of the Sun, Moon, and Planets, 1983 published by Willmann-Bell, Inc., Richmond, Virginia Archived 9 April 2009 at the Wayback Machine. The date in other time zones may vary.
  53. ^ a b "Zodiacal symbols in Unicode block Miscellaneous Symbols" (PDF). The Unicode Standard. 2010.
  54. ^ Powell, Robert (2017). History of the Zodiac. Sophia Academic Press. p. 11. ISBN 978-1597311526.
  55. ^ Dates are for a typical year; actual dates may vary by a day or so from year to year.
  56. ^ a b The Real Constellations of the Zodiac. Lee T. Shapiro, director of Morehead Planetarium University of North Carolina (Spring 1977)
  57. ^ Julia Parker "The Astrologer's Handbook", pp 10, Alva Press, NJ, 2010
  58. ^ Sachs, Abraham (1948), "A Classification of the Babylonian Astronomical Tablets of the Seleucid Period", Journal of Cuneiform Studies, Vol. 2, No. 4, pp. 271–290
  59. ^ Rochberg, Francesca (1998), "Babylonian Horoscopes", American Philosophical Society, New Series, Vol. 88, No. 1, pp i-164
  60. ^ a b Evans, James; Berggren, J. Lennart (2006). Geminos's Introduction to the Phenomena. Princeton University Press. p. 115. ISBN 069112339X.
  61. ^ "tropo-". Dictionary.com. Random House, Inc. Retrieved 21 May 2015.
  62. ^ a b Encyclopædia Britannica. "Zodiac". Encyclopædia Britannica Online. Retrieved 7 May 2015.
  63. ^ Encyclopædia Britannica. "Ecliptic". Encyclopædia Britannica Online. Retrieved 7 May 2015.
  64. ^ "International Occultation Timing Association". 18 December 2017. Retrieved 6 March 2018.
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  66. ^ G. Rubie (1830). The British Celestial Atlas: Being a Complete Guide to the Attainment of a Practical Knowledge of the Heavenly Bodies. Baldwin & Cradock. p. 79.

External links

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