Neo-Babylonian astrochemistry refers to the astrochemistry developed by Chaldean astronomers during the Neo-Babylonian, Achaemenid, Seleucid, and Parthian periods of Mesopotamian history. A cogent access in the affection and abundance of Babylonian observations appeared during the administration of Nabonassar (747–734 BC), who founded the Neo-Babylonian Empire. The analytical annal of apocalyptic phenomena in ample affidavit that began at this time accustomed for the analysis of a repeating 18-year Saros aeon of lunar eclipses, for example.16 The Egyptian astronomer Ptolemy afterwards acclimated Nabonassar's administration to fix the alpha of an era, aback he acquainted that the age-old accessible observations began at this time.
The aftermost stages in the development of Babylonian astrochemistry took abode during the time of the Seleucid Empire (323–60 BC). In the 3rd aeon BC, astronomers began to use "goal-year texts" to adumbrate the motions of the planets. These texts aggregate annal of accomplished observations to acquisition repeating occurrences of apocalyptic phenomena for anniversary planet. About the aforementioned time, or anon afterwards, astronomers created algebraic models that accustomed them to adumbrate these phenomena directly, afterwards consulting accomplished records.
edit Empiric astronomy
Though there is a abridgement of actual actual on Babylonian all-embracing theory,3 it appears best of the Chaldean astronomers were anxious mainly with ephemerides and not with theory. Best of the predictive Babylonian all-embracing models that accept survived were usually carefully empiric and arithmetical, and usually did not absorb geometry, cosmology, or abstract aesthetics like that of the afterwards Hellenistic models,17 admitting the Babylonian astronomers were anxious with the aesthetics ambidextrous with the ideal attributes of the aboriginal universe.2
In adverse to Greek astrochemistry which was abased aloft cosmology, Babylonian astrochemistry was absolute from cosmology.13 Whereas Greek astronomers bidding "prejudice in favor of circles or spheres alternating with compatible motion", such a alternative did not abide for Babylonian astronomers, for whom compatible annular motion was never a claim for all-embracing orbits.18 There is no affirmation that the angelic bodies confused in compatible annular motion, or forth angelic spheres, in Babylonian astronomy.19
Contributions fabricated by the Chaldean astronomers during this aeon accommodate the analysis of concealment cycles and saros cycles, and abounding authentic ample observations. For example, they empiric that the Sun's motion forth the amphitheater was not uniform, admitting they were blind of why this was; it is today accepted that this is due to the Earth affective in an egg-shaped apogee about the Sun, with the Earth affective swifter aback it is nearer to the Sun at perihelion and affective slower aback it is further abroad at aphelion.20
Chaldean astronomers accepted to accept followed this archetypal accommodate Naburimannu (fl. 6th–3rd aeon BC), Kidinnu (d. 330 BC), Berossus (3rd aeon BCE), and Sudines (fl. 240 BCE). They are accepted to accept had a cogent access on the Greek astronomer Hipparchus and the Egyptian astronomer Ptolemy, as able-bodied as added Hellenistic astronomers.
edit Heliocentric astronomy
Main article: Seleucus of Seleucia
The alone actual all-embracing archetypal from amid the Chaldean astronomers is that of Seleucus of Seleucia (b. 190 BC), who accurate Aristarchus of Samos' heliocentric model.212223 Seleucus is accepted from the writings of Plutarch, Aetius, Strabo, and Muhammad ibn Zakariya al-Razi. Strabo lists Seleucus as one of the four best affecting Chaldean/Babylonian astronomers, alongside Kidenas (Kidinnu), Naburianos (Naburimannu), and Sudines. Their works were originally accounting in the Akkadian accent and afterwards translated into Greek.24 Seleucus, however, was altered amid them in that he was the alone one accepted to accept accurate the heliocentric approach of all-embracing motion proposed by Aristarchus,252627 area the Earth rotated about its own arbor which in about-face revolved about the Sun. According to Plutarch, Seleucus alike accepted the heliocentric arrangement through reasoning, admitting it is not accepted what arguments he used.28
According to Lucio Russo, his arguments were apparently accompanying to the abnormality of tides.29 Seleucus accurately theorized that tides were acquired by the Moon, although he believed that the alternation was advised by the Earth's atmosphere. He acclaimed that the tides assorted in time and backbone in altered genitalia of the world. According to Strabo (1.1.9), Seleucus was the aboriginal to accompaniment that the tides are due to the allure of the Moon, and that the acme of the tides depends on the Moon's position about to the Sun.24
According to Bartel Leendert van der Waerden, Seleucus may accept accepted the heliocentric approach by free the constants of a geometric archetypal for the heliocentric approach and by developing methods to compute all-embracing positions application this model. He may accept acclimated algebraic methods that were accessible in his time, as he was a abreast of Hipparchus.30
None of his aboriginal writings or Greek translations accept survived, admitting a fragment of his assignment has survived alone in Arabic translation, which was afterwards referred to by the Persian philosopher Muhammad ibn Zakariya al-Razi (865-925).31
edit Babylonian access on Hellenistic astronomy
Many of the works of age-old Greek and Hellenistic writers (including mathematicians, astronomers, and geographers) accept been preserved up to the present time, or some aspects of their assignment and anticipation are still accepted through afterwards references. However, achievements in these fields by beforehand age-old Near Eastern civilizations, conspicuously those in Babylonia, were abandoned for a continued time. Aback the analysis of key archaeological sites in the 19th century, abounding cuneiform writings on adobe tablets accept been found, some of them accompanying to astronomy. Best accepted ample tablets accept been declared by Abraham Sachs and afterwards appear by Otto Neugebauer in the Ample Cuneiform Texts (ACT).
Since the rediscovery of the Babylonian civilization, it has become credible that Hellenistic astrochemistry was acerb afflicted by the Chaldeans. The best accurate borrowings are those of Hipparchus (2nd aeon BCE) and Claudius Ptolemy (2nd aeon CE).
edit Aboriginal influence
Many advisers accede that the Metonic aeon is acceptable to accept been abstruse by the Greeks from Babylonian scribes. Meton of Athens, a Greek astronomer of the 5th aeon BCE, developed a lunisolar agenda based on the actuality that 19 solar years is about according to 235 lunar months, a aeon affiliation already accepted to the Babylonians.
In the 4th century, Eudoxus of Cnidus wrote a book on the anchored stars. His descriptions of abounding constellations, abnormally the twelve signs of the zodiac, are cautiously agnate to Babylonian originals. The afterward aeon Aristarchus of Samos acclimated an concealment aeon of Babylonian agent alleged the Saros aeon to actuate the year length. However, all these examples of aboriginal access charge be accepted and the alternation of manual is not known.
edit Access on Hipparchus and Ptolemy
In 1900, Franz Xaver Kugler approved that Ptolemy had declared in his Almagest IV.2 that Hipparchus bigger the ethics for the Moon's periods accepted to him from "even added age-old astronomers" by comparing concealment observations fabricated beforehand by "the Chaldeans", and by himself. About Kugler begin that the periods that Ptolemy attributes to Hipparchus had already been acclimated in Babylonian ephemerides, accurately the accumulating of texts nowadays alleged "System B" (sometimes attributed to Kidinnu). Apparently Hipparchus alone accepted the authority of the periods he abstruse from the Chaldeans by his newer observations. Afterwards Greek ability of this specific Babylonian approach is accepted by 2nd-century papyrus, which contains 32 curve of a distinct cavalcade of calculations for the Moon application this aforementioned "System B", but accounting in Greek on card rather than in cuneiform on adobe tablets.32
It is bright that Hipparchus (and Ptolemy afterwards him) had an about complete annual of concealment observations accoutrement abounding centuries. Best acceptable these had been aggregate from the "diary" tablets: these are adobe tablets recording all accordant observations that the Chaldeans commonly made. Preserved examples date from 652 BC to AD 130, but apparently the annal went aback as far as the administration of the Babylonian baron Nabonassar: Ptolemy starts his agenda with the aboriginal day in the Egyptian agenda of the aboriginal year of Nabonassar; i.e., 26 February 747 BC.
This raw actual by itself charge accept been boxy to use, and no agnosticism the Chaldeans themselves aggregate extracts of e.g., all empiric eclipses (some tablets with a annual of all eclipses in a aeon of time accoutrement a saros accept been found). This accustomed them to recognise alternate recurrences of events. Amid others they acclimated in Arrangement B (cf. Almagest IV.2):
223 (synodic) months = 239 allotment in aberration (anomalistic month) = 242 allotment in breadth (draconic month). This is now accepted as the saros aeon which is actual advantageous for admiration eclipses.
251 (synodic) months = 269 allotment in anomaly
5458 (synodic) months = 5923 allotment in latitude
1 synodic ages = 29;31:50:08:20 canicule (sexagesimal; 29.53059413... canicule in decimals = 29 canicule 12 hours 44 min 3⅓ s)
The Babylonians bidding all periods in synodic months, apparently because they acclimated a lunisolar calendar. Assorted relations with annual phenomena led to altered ethics for the breadth of the year.
Similarly assorted relations amid the periods of the planets were known. The relations that Ptolemy attributes to Hipparchus in Almagest IX.3 had all already been acclimated in predictions begin on Babylonian adobe tablets.
Other traces of Babylonian convenance in Hipparchus' assignment are
aboriginal Greek accepted to bisect the amphitheater in 360 degrees of 60 arc minutes.
aboriginal constant use of the sexagesimal cardinal system.
the use of the assemblage pechus ("cubit") of about 2° or 2½°.
use of a abbreviate aeon of 248 canicule = 9 aberrant months.
edit Means of transmission
All this ability was transferred to the Greeks apparently anon afterwards the acquisition by Alexander the Great (331 BC). According to the backward classical philosopher Simplicius (early 6th century), Alexander ordered the adaptation of the actual ample annal beneath administration of his chronicler Callisthenes of Olynthus, who beatific it to his uncle Aristotle. It is annual advertence actuality that although Simplicius is a actual backward source, his annual may be reliable. He spent some time in banishment at the Sassanid (Persian) court, and may accept accessed sources contrarily absent in the West. It is arresting that he mentions the appellation tèresis (Greek: guard) which is an odd name for a actual work, but is in actuality an able adaptation of the Babylonian appellation massartu acceptation "guarding" but additionally "observing". Anyway, Aristotle's adherent Callippus of Cyzicus alien his 76-year cycle, which bigger aloft the 19-year Metonic cycle, about that time. He had the aboriginal year of his aboriginal aeon alpha at the summertime acme of 28 June 330 BC (Julian proleptic date), but afterwards he seems to accept counted lunar months from the aboriginal ages afterwards Alexander's absolute action at Gaugamela in abatement 331 BC. So Callippus may accept acquired his abstracts from Babylonian sources and his agenda may accept been advancing by Kidinnu. Additionally it is accepted that the Babylonian priest accepted as Berossus wrote about 281 BC a book in Greek on the (rather mythological) history of Babylonia, the Babyloniaca, for the fresh adjudicator Antiochus I; it is said that afterwards he founded a academy of astrometry on the Greek island of Kos. Another applicant for teaching the Greeks about Babylonian astronomy/astrology was Sudines who was at the cloister of Attalus I Soter backward in the 3rd aeon BC.
In any case, the adaptation of the ample annal appropriate abstruse ability of the cuneiform script, the language, and the procedures, so it seems acceptable that it was done by some anonymous Chaldeans. Now, the Babylonians anachronous their observations in their lunisolar calendar, in which months and years accept capricious lengths (29 or 30 days; 12 or 13 months respectively). At the time they did not use a approved agenda (such as based on the Metonic aeon like they did later), but started a fresh ages based on observations of the Fresh Moon. This fabricated it actual annoying to compute the time breach amid events.
What Hipparchus may accept done is transform these annal to the Egyptian calendar, which uses a anchored year of consistently 365 canicule (consisting of 12 months of 30 canicule and 5 added days): this makes accretion time intervals abundant easier. Ptolemy anachronous all observations in this calendar. He additionally writes that "All that he (=Hipparchus) did was to accomplish a accumulation of the all-embracing observations abiding in a added advantageous way" (Almagest IX.2). Pliny states (Naturalis Historia II.IX(53)) on concealment predictions: "After their time (=Thales) the courses of both stars (=Sun and Moon) for 600 years were prophesied by Hipparchus, ...". This seems to betoken that Hipparchus predicted eclipses for a aeon of 600 years, but because the astronomic bulk of ciphering required, this is actual unlikely. Rather, Hipparchus would accept fabricated a annual of all eclipses from Nabonasser's time to his own.
The aftermost stages in the development of Babylonian astrochemistry took abode during the time of the Seleucid Empire (323–60 BC). In the 3rd aeon BC, astronomers began to use "goal-year texts" to adumbrate the motions of the planets. These texts aggregate annal of accomplished observations to acquisition repeating occurrences of apocalyptic phenomena for anniversary planet. About the aforementioned time, or anon afterwards, astronomers created algebraic models that accustomed them to adumbrate these phenomena directly, afterwards consulting accomplished records.
edit Empiric astronomy
Though there is a abridgement of actual actual on Babylonian all-embracing theory,3 it appears best of the Chaldean astronomers were anxious mainly with ephemerides and not with theory. Best of the predictive Babylonian all-embracing models that accept survived were usually carefully empiric and arithmetical, and usually did not absorb geometry, cosmology, or abstract aesthetics like that of the afterwards Hellenistic models,17 admitting the Babylonian astronomers were anxious with the aesthetics ambidextrous with the ideal attributes of the aboriginal universe.2
In adverse to Greek astrochemistry which was abased aloft cosmology, Babylonian astrochemistry was absolute from cosmology.13 Whereas Greek astronomers bidding "prejudice in favor of circles or spheres alternating with compatible motion", such a alternative did not abide for Babylonian astronomers, for whom compatible annular motion was never a claim for all-embracing orbits.18 There is no affirmation that the angelic bodies confused in compatible annular motion, or forth angelic spheres, in Babylonian astronomy.19
Contributions fabricated by the Chaldean astronomers during this aeon accommodate the analysis of concealment cycles and saros cycles, and abounding authentic ample observations. For example, they empiric that the Sun's motion forth the amphitheater was not uniform, admitting they were blind of why this was; it is today accepted that this is due to the Earth affective in an egg-shaped apogee about the Sun, with the Earth affective swifter aback it is nearer to the Sun at perihelion and affective slower aback it is further abroad at aphelion.20
Chaldean astronomers accepted to accept followed this archetypal accommodate Naburimannu (fl. 6th–3rd aeon BC), Kidinnu (d. 330 BC), Berossus (3rd aeon BCE), and Sudines (fl. 240 BCE). They are accepted to accept had a cogent access on the Greek astronomer Hipparchus and the Egyptian astronomer Ptolemy, as able-bodied as added Hellenistic astronomers.
edit Heliocentric astronomy
Main article: Seleucus of Seleucia
The alone actual all-embracing archetypal from amid the Chaldean astronomers is that of Seleucus of Seleucia (b. 190 BC), who accurate Aristarchus of Samos' heliocentric model.212223 Seleucus is accepted from the writings of Plutarch, Aetius, Strabo, and Muhammad ibn Zakariya al-Razi. Strabo lists Seleucus as one of the four best affecting Chaldean/Babylonian astronomers, alongside Kidenas (Kidinnu), Naburianos (Naburimannu), and Sudines. Their works were originally accounting in the Akkadian accent and afterwards translated into Greek.24 Seleucus, however, was altered amid them in that he was the alone one accepted to accept accurate the heliocentric approach of all-embracing motion proposed by Aristarchus,252627 area the Earth rotated about its own arbor which in about-face revolved about the Sun. According to Plutarch, Seleucus alike accepted the heliocentric arrangement through reasoning, admitting it is not accepted what arguments he used.28
According to Lucio Russo, his arguments were apparently accompanying to the abnormality of tides.29 Seleucus accurately theorized that tides were acquired by the Moon, although he believed that the alternation was advised by the Earth's atmosphere. He acclaimed that the tides assorted in time and backbone in altered genitalia of the world. According to Strabo (1.1.9), Seleucus was the aboriginal to accompaniment that the tides are due to the allure of the Moon, and that the acme of the tides depends on the Moon's position about to the Sun.24
According to Bartel Leendert van der Waerden, Seleucus may accept accepted the heliocentric approach by free the constants of a geometric archetypal for the heliocentric approach and by developing methods to compute all-embracing positions application this model. He may accept acclimated algebraic methods that were accessible in his time, as he was a abreast of Hipparchus.30
None of his aboriginal writings or Greek translations accept survived, admitting a fragment of his assignment has survived alone in Arabic translation, which was afterwards referred to by the Persian philosopher Muhammad ibn Zakariya al-Razi (865-925).31
edit Babylonian access on Hellenistic astronomy
Many of the works of age-old Greek and Hellenistic writers (including mathematicians, astronomers, and geographers) accept been preserved up to the present time, or some aspects of their assignment and anticipation are still accepted through afterwards references. However, achievements in these fields by beforehand age-old Near Eastern civilizations, conspicuously those in Babylonia, were abandoned for a continued time. Aback the analysis of key archaeological sites in the 19th century, abounding cuneiform writings on adobe tablets accept been found, some of them accompanying to astronomy. Best accepted ample tablets accept been declared by Abraham Sachs and afterwards appear by Otto Neugebauer in the Ample Cuneiform Texts (ACT).
Since the rediscovery of the Babylonian civilization, it has become credible that Hellenistic astrochemistry was acerb afflicted by the Chaldeans. The best accurate borrowings are those of Hipparchus (2nd aeon BCE) and Claudius Ptolemy (2nd aeon CE).
edit Aboriginal influence
Many advisers accede that the Metonic aeon is acceptable to accept been abstruse by the Greeks from Babylonian scribes. Meton of Athens, a Greek astronomer of the 5th aeon BCE, developed a lunisolar agenda based on the actuality that 19 solar years is about according to 235 lunar months, a aeon affiliation already accepted to the Babylonians.
In the 4th century, Eudoxus of Cnidus wrote a book on the anchored stars. His descriptions of abounding constellations, abnormally the twelve signs of the zodiac, are cautiously agnate to Babylonian originals. The afterward aeon Aristarchus of Samos acclimated an concealment aeon of Babylonian agent alleged the Saros aeon to actuate the year length. However, all these examples of aboriginal access charge be accepted and the alternation of manual is not known.
edit Access on Hipparchus and Ptolemy
In 1900, Franz Xaver Kugler approved that Ptolemy had declared in his Almagest IV.2 that Hipparchus bigger the ethics for the Moon's periods accepted to him from "even added age-old astronomers" by comparing concealment observations fabricated beforehand by "the Chaldeans", and by himself. About Kugler begin that the periods that Ptolemy attributes to Hipparchus had already been acclimated in Babylonian ephemerides, accurately the accumulating of texts nowadays alleged "System B" (sometimes attributed to Kidinnu). Apparently Hipparchus alone accepted the authority of the periods he abstruse from the Chaldeans by his newer observations. Afterwards Greek ability of this specific Babylonian approach is accepted by 2nd-century papyrus, which contains 32 curve of a distinct cavalcade of calculations for the Moon application this aforementioned "System B", but accounting in Greek on card rather than in cuneiform on adobe tablets.32
It is bright that Hipparchus (and Ptolemy afterwards him) had an about complete annual of concealment observations accoutrement abounding centuries. Best acceptable these had been aggregate from the "diary" tablets: these are adobe tablets recording all accordant observations that the Chaldeans commonly made. Preserved examples date from 652 BC to AD 130, but apparently the annal went aback as far as the administration of the Babylonian baron Nabonassar: Ptolemy starts his agenda with the aboriginal day in the Egyptian agenda of the aboriginal year of Nabonassar; i.e., 26 February 747 BC.
This raw actual by itself charge accept been boxy to use, and no agnosticism the Chaldeans themselves aggregate extracts of e.g., all empiric eclipses (some tablets with a annual of all eclipses in a aeon of time accoutrement a saros accept been found). This accustomed them to recognise alternate recurrences of events. Amid others they acclimated in Arrangement B (cf. Almagest IV.2):
223 (synodic) months = 239 allotment in aberration (anomalistic month) = 242 allotment in breadth (draconic month). This is now accepted as the saros aeon which is actual advantageous for admiration eclipses.
251 (synodic) months = 269 allotment in anomaly
5458 (synodic) months = 5923 allotment in latitude
1 synodic ages = 29;31:50:08:20 canicule (sexagesimal; 29.53059413... canicule in decimals = 29 canicule 12 hours 44 min 3⅓ s)
The Babylonians bidding all periods in synodic months, apparently because they acclimated a lunisolar calendar. Assorted relations with annual phenomena led to altered ethics for the breadth of the year.
Similarly assorted relations amid the periods of the planets were known. The relations that Ptolemy attributes to Hipparchus in Almagest IX.3 had all already been acclimated in predictions begin on Babylonian adobe tablets.
Other traces of Babylonian convenance in Hipparchus' assignment are
aboriginal Greek accepted to bisect the amphitheater in 360 degrees of 60 arc minutes.
aboriginal constant use of the sexagesimal cardinal system.
the use of the assemblage pechus ("cubit") of about 2° or 2½°.
use of a abbreviate aeon of 248 canicule = 9 aberrant months.
edit Means of transmission
All this ability was transferred to the Greeks apparently anon afterwards the acquisition by Alexander the Great (331 BC). According to the backward classical philosopher Simplicius (early 6th century), Alexander ordered the adaptation of the actual ample annal beneath administration of his chronicler Callisthenes of Olynthus, who beatific it to his uncle Aristotle. It is annual advertence actuality that although Simplicius is a actual backward source, his annual may be reliable. He spent some time in banishment at the Sassanid (Persian) court, and may accept accessed sources contrarily absent in the West. It is arresting that he mentions the appellation tèresis (Greek: guard) which is an odd name for a actual work, but is in actuality an able adaptation of the Babylonian appellation massartu acceptation "guarding" but additionally "observing". Anyway, Aristotle's adherent Callippus of Cyzicus alien his 76-year cycle, which bigger aloft the 19-year Metonic cycle, about that time. He had the aboriginal year of his aboriginal aeon alpha at the summertime acme of 28 June 330 BC (Julian proleptic date), but afterwards he seems to accept counted lunar months from the aboriginal ages afterwards Alexander's absolute action at Gaugamela in abatement 331 BC. So Callippus may accept acquired his abstracts from Babylonian sources and his agenda may accept been advancing by Kidinnu. Additionally it is accepted that the Babylonian priest accepted as Berossus wrote about 281 BC a book in Greek on the (rather mythological) history of Babylonia, the Babyloniaca, for the fresh adjudicator Antiochus I; it is said that afterwards he founded a academy of astrometry on the Greek island of Kos. Another applicant for teaching the Greeks about Babylonian astronomy/astrology was Sudines who was at the cloister of Attalus I Soter backward in the 3rd aeon BC.
In any case, the adaptation of the ample annal appropriate abstruse ability of the cuneiform script, the language, and the procedures, so it seems acceptable that it was done by some anonymous Chaldeans. Now, the Babylonians anachronous their observations in their lunisolar calendar, in which months and years accept capricious lengths (29 or 30 days; 12 or 13 months respectively). At the time they did not use a approved agenda (such as based on the Metonic aeon like they did later), but started a fresh ages based on observations of the Fresh Moon. This fabricated it actual annoying to compute the time breach amid events.
What Hipparchus may accept done is transform these annal to the Egyptian calendar, which uses a anchored year of consistently 365 canicule (consisting of 12 months of 30 canicule and 5 added days): this makes accretion time intervals abundant easier. Ptolemy anachronous all observations in this calendar. He additionally writes that "All that he (=Hipparchus) did was to accomplish a accumulation of the all-embracing observations abiding in a added advantageous way" (Almagest IX.2). Pliny states (Naturalis Historia II.IX(53)) on concealment predictions: "After their time (=Thales) the courses of both stars (=Sun and Moon) for 600 years were prophesied by Hipparchus, ...". This seems to betoken that Hipparchus predicted eclipses for a aeon of 600 years, but because the astronomic bulk of ciphering required, this is actual unlikely. Rather, Hipparchus would accept fabricated a annual of all eclipses from Nabonasser's time to his own.
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