Eternal India
encyclopedia
Ancient Concepts, Sciences & Systems
month was generally inserted after
Ashadha
or
Shravana
and
called second
Ashadha
or
Shravana.
Thus every second or third
year contains thirteen months.
The natural means of measuring a year originated from the ex-
perience of periodic recurrence of climatic seasons. Likewise, the
natural means of measuring a day was the period between two con-
secutive sun-rises and that for a month a period between two full-
moons. The return of the Sun to the same position with respect to
the fixed star might have appeared to be much more reliable than the
slow seasonal variation of the length of day light. There appears to
be a constant attempt at adjusting the lunar month with the season.
The
Taittiriya Samhita
(7.2.6) mentions how 11 days ceremony
(
ekadasharatra
) was performed after lunar year of 354 days to
make up with the seasons (
ritus
) i.e. with the sidereal year of
365.25 days. The idea of intercalating a month at regular intervals
of time or of adding 5 or 6 days in one month or more months was
thus developed.
The cyclic concept of time, developed from the idea of
yuga
or
cycle, is a central feature of Indian astronomy. The
Mahayuga
is a
period at the beginning of which all the planetary bodies are in
conjunction. During the period they all perform integral (whole)
number of revolutions and at the end of the period they are therefore
again in conjunction. In the
Surya-Siddhanta Mahayuga
is divided
into four mundane ages or yugas : the
Krita
or Golden Age, the
Treta
or Silver Age, the
Dvapara
or the Brazen Age and the
Kali
or
the Iron Age (the current age through which the world is passing).
The duration of these eras is 1,728,000, 1,296,000, 864,000 and
432,000 solar years respectively in the descending order of 4,3,2
and 1. The
Kali Yuga
began in 3102 B.C. A bigger period than a
Mahayuga
is a
Kalpa
which is equal to 1000
Mahayugas
or
4,320,000,000 solar years.
The length of a cycle was selected in such a way that the
apsides and nodes also have whole numbers of revolutions. The
Mahayuga of 4,320,000 years is such a period. The length of the
solar year as 365 days 6 hrs 12 mins 35.56 secs is such that the
least number of years containing a whole number of civil (solar)
days is 1,080,000. (4X1,080,000 is 4,320,000). The number 108 is
4 times 27, the number of
nakshatras.
According to Aryabhata
Ma-
hayuga
is divided into four equal parts of 1,080,000 years each.
With the invasion of India by Alexander the Great in the 4th
century B.C. and the subsequent Greco-Roman contacts the solar
calendar and the seven-day week were also introduced. In the solar
calendar the months are named after the signs of the zodiac, being
translations of the Greek originals;
Mesa
(Aries),
Vrishabha
(Tau-
rus),
Mithuna
(Gemini),
Karkata
(Cancer),
Simha
(Leo),
Kanya
(Virgo),
Tula
(Libro),
Vrishcika
(Scorpio),
Dhanus
(Sagittarius),
Makara
(Capricomus),
Kumbha
(Aquarius) and
Mina
(Pisces).
The days of the week were named after their presiding planets as
in the Greco-Roman system:
Ravivara
(Sunday),
Somavara
(Mon-
day),
Mangalavara
(Tuesday),
Budhavara
(Wednesday),
Brihas-
pativara
(Thursday),
Shukravara
(Friday) and
Shanivara
(Satur-
day).
Aryabhata occupies the first place among Indian mathemati-
cians and astronomers of antiquity. He heralded the new science of
mathematics-based astronomy. He was born in the 5th century
A.D. in the reign of the Gupta king Buddhagupta and lived at
Pataliputra (modern Patna) in ancient Magadha (Bihar) and wrote
his
Aryabhatiya
there. Magadha in ancient times was a great
centre of learning. The famous university of Nalanda was located
there. There was a special provision for the study of astronomy in
the university.
Aryabhatiya
is the first earliest preserved work dealing with
mathematics and planetary astronomy. Aryabhata came to the
rescue of astronomy which did not have a scientific basis with the
result that people's faith was badly shaken when there was a
divergence between astronomical prediction and observation. Ar-
yabhata reorganised astronomy on a scientific basis furnishing it
with new tools and techniques and more accurate methods of
observation.
It was. generally believed that the earth was the centre of the
universe round which the sun and the other planets moved. But
Aryabhata differed from the other astronomers of the time in saying
that the earth was not stationary but rotated about its own axis.
For the sake of astronomical calculations, however, Aryabhata took
the earth as fixed like the other astronomers did. That the earth
was spherical in shape was well known.
Apart from
Aryabhatiya,
Aryabhata wrote one more work on
astronomy,
Aryabhata-Siddhanta.
Unlike the
Aryabhatiya
in which
the day was measured from one sunrise to the next (
audayika
), the
Aryabhata-Siddhanta
measured the day from midnight to midnight
(ardharatrika):
This system was at the peak of its popularity in the
7th century when it was used in everyday calculations such as those
pertaining to marriage, nativity etc. Brahmagupta (628 AD)
brought out an abridged edition of the work under the title
Kharida-
Khadyaka
("Food Prepared with Sugarcandy"). It is in use even
today in some parts of India.
The ancient Indians were aware of the existence of only the
seven planets (
graha)
of the ancients : Sun (
Surya
), Moon (
Chan-
dra
), Mercury (
Budha
), Venus (
Shukra
), Mars
{Mangold),
Jupiter
(Brihaspati)
and Saturn
{Shani).
To these, two more were added -
Rahu
and
Ketu,
the ascending and descending nodes of the moon -
to formulate their
Rahu-Ketu
theories of eclipses. (The planets
Uranus, Neptune and Pluto not observable by the naked eye came to
be discovered during recent times and were not mentioned in the
Hindu astronomical texts). The lengths of the year were known and
calculated as also the lunar month.
Eclipses were explained and accurately forecast. For nearly
2000 years, priestly astronomers saw eclipses as caused by Rahu
(presumed to be the head of a demon) devouring the Sun or the
Moon. It was Aryabhata who in the 5th century A.D. provided an
explanation for the eclipses in terms of the Sun being obscured by
the Moon and the shadow of the earth obscuring the Moon. Vara-
hamihira explained clearly the cause of a lunar eclipse as being due
to the entry of the Moon into the shadow of the earth. Nevertheless
he preferred to use the Rahu terminology, stating that the ascend-
ing node is Rahu's head while the descending node is Rahu's tail.
Then, as now, religious rituals were observed during eclipses.
Therefore great importance was placed on the accurate forecasting
of eclipses. The astronomer, Parameswara (15th Century A.D.),
observed and even recorded the lunar and solar eclipses which
occurred over a period of 50 years.
Because of their knowledge of mathematics, Indian astrono-
mers made advances on the knowledge of the Greeks and passed
their knowledge, along with that of mathematics, back to Europe
through the Arabs. The Syrian astronomers (7th century) knew of




