Pingree’s Views

Western scholars of the history of astronomy like David Pingree have accepted the astronomical basis of this hymn. In an article, "Astronomy in India" in Astronomy Before the Telescope, C. Walker (ed.), St. Martin's Press, New York, 1996, pps. 123-124, Pingree suggests that Mul. Apin, Babylonian tablets that date from 687 to 500 BC has "’an ideal calendar' in which one year contains 12 months, each of which has 30 days, and consequently exactly 360 days; a late hymn of the Rgveda refers to the same ‘ideal calendar’. And Mul.Apin describes the oscillation of the rising-point of the sun along the eastern horizon between its extremities when it is at the solstices; the same oscillation is described in the Aitareya Brahmana.’" This ideal calendar is the basis for the zodiac and its twelve signs at a mathematical level. Clearly Pingree is referring to Rig Veda I.164 as his ‘late’ hymn of the Rig Veda.

To quote from David Pingree’s "History of mathematical astronomy in India," in the Dictionary of Scientific Biography, C.S. Gillespie (ed.), pp. 533-633, Charles Scribners, New York, 1981, page 534: "In the case of the priority of the Rgveda to the brahmanas

One of the four natural divisions of society, which refers to the spiritualists. In later times it came to refer to a caste determined by birth.'); return false">brahmanas, it is not always clear that the views expressed in the latter developed historically after the composition of the former. All texts that can reasonably be dated before ca. 500 BC are here considered to represent essentially a single body of more or less uniform material." The point of his statement is to try to get such Rig Veda references as those of Dirghatamas later than the Brahmana texts as both reflect a similar sophisticated astronomy, which is necessary to make it later than the Babylonian references and a product of a Babylonian influence as he proposes. This requires reducing all the layers of Vedic literature to a more or less uniform mass at a very late date, which is contrary to almost every view of the text.

Clearly this Rig Veda hymn, which has parallels and developments in the Brahmanas (like the Shatapatha Brahmana quoted in this chapter), must be earlier and show that such ideas were much older than the Brahmanas. To maintain his late date for Vedic astrology, Pingree must assume that this hymn or its particular astronomical verses were late interpolations to the Rig Veda, around 500 BCE or about the time of the Buddha. This is rather odd because the Buddha is generally regarded as having come long after the Vedic period, while the actual text is usually dated well before 1000 BCE (some have argued even to 3000 BCE).

Even the Brahmanas, like the Upanishads that come after them, are pre-Buddhist by all accounts. Perhaps the main Vedic ritual given in the Brahmanas, the Gavamayana, follows the model of a year of 360 days and is divided into two halves based upon the solstices, showing that such an ‘ideal’ calendar was central to Vedic thought. That such an ideal calendar has its counterpart in the sky is well reflected in Vedic ideas saying that equate the days and nights with the Sun’s rays and with the stars (as we have noted in Shatapatha Brahmana with 720 Upanakshatras)*. The Brahmanas, we should also note, emphasize the Krittikas or the Pleiades as the first of the Nakshatras, reflecting an astronomical era of the Taurus equinox. The Shatapatha Brahmana notes that the Krittikas mark the eastern direction.

In addition, the hymn, its verses and commentaries on them are found in many places in Vedic literature, along with support references to Nakshatras. It cannot be reduced to a late addition but is an integral part of the text.

That being the case, a zodiac of 360 degrees and its twelvefold division are much older in India than any Greek or even Babylonian references that he has come up with.

Pingree also tries to reduce the ancient Vedic calendar work Vedanga Jyotish to 500 BCE or to a Babylonian influence. However, the internal date of this late Vedic text is of a summer solstice in Aslesha or 1300 BCE, information referenced by Varaha Mihira in his Brihat Samhita (III.1-2). "There was indeed a time when the Sun’s southerly course (summer solstice) began from the middle of the Nakshatra Aslesha and the northerly one (winter solstice) from the beginning of the Nakshatra Dhanishta. For it has been stated so in ancient works. At present the southerly course of the Sun starts from the beginning of Cancer and the other from the initial point of the sign Capricorn." The middle of Aslesha is 23 20 Cancer, while the beginning of Dhanishta (Shravishta) is 23 20 Capricorn. Calculating the precession accordingly, this is obviously a date of around 1300 BCE.

There are yet earlier references in the Vedas like Atharva Veda XIX.6.2 that starts the Nakshatras with Krittika (the Pleiades) and places the summer solstice (ayana) in Magha (00 - 13 20 Leo), showing a date before 1900 BCE. These I have examined in detail in my book Gods, Sages and Kings (Lotus Press). Clearly the Vedas show the mathematics for an early date for the zodiac as well as the precessional points of these eras long before the Babylonians or the Greeks supposedly gave them the zodiac.

It is not surprising that India could have invented the zodiac and circle of 360 degrees. After all, the decimal system and the use of zero came from India. In this regard, as early as the Yajur Veda, we find names for numbers starting with one, ten, one hundred and one thousand ending with one followed by twelve zeros (Shukla Yajur Veda XVII.2).

The Rig Veda has another cryptic verse that suggests its cosmic numerology. According to it the Cosmic Bull has four horns, three feet, two heads and seven hands (Rig Veda IV.58.3). This sounds like a symbolic way of presenting the great kalpa number of 4,320,000,000 years. Such large numbers for the universe are typical to Indian thought, but scholars such as Pingree would also ascribe them to a Babylonian origin. However, the literature suggests the opposite.