Sidereal
Vs Tropical Zodiac.
In Vedic
astrology we define the Zodiac as a natural belt around the ecliptic which
traces the apparent movement of the Sun through the constellations or groups of
stars. The 12 signs of the Zodiac are derived from the constellations. This is
called a Sidereal Zodiac. The position of planets are calculated based on where
they are actually observed in the sky, in relationship to the fixed stars
(relatively fixed) which form the constellations. This means you can look up in
the sky and locate the planets as exactly indicated by the horoscope.
However this is
different from the western system that uses the Tropical Zodiac which is based
on orientation of the Earth to the Sun and derived from the equinox and
solstices. Thus the Sun is assumed to be at zero degrees of Aries at the Spring
Equinox. Thus all the other planets are adjusted to a theoretical position
based on the observable seasons and do not represent the actual position of the
planets in the sky relative to the stars.
This was fine
2,000 years ago when the tropical signs and the constellations were in the same
position. However due to a phenomena called the Precession of the Equinoxes
which was known in the Vedic age, the tropical signs have drifted away from the
constellations.
To explain
this: at the Vernal (Spring) Equinox, Sun as seen from Earth is not at the same
point against the background of the fixed stars relative to where it was at the
same time a year ago. It arrives at the Vernal Equinox point fractionally
earlier, making the seasonal year about 20 minutes shorter than the sidereal
year.
This is because
the earth wobbles like a top as it goes around the Sun due to its slight tilt.
The polar axis does not point to the same star over the course of one orbit
around the sun, it drifts backwards ever so slightly. As the direction of the
wobble around the earth’s axis is in opposition to the Sun, it looks like the
vernal point is moving backwards through the 12 signs (tracing an imaginary
cone like shape). This called the Precession of Equinox and the process is so
slow, that the movement is about one degree per 72 years or it takes almost
2160 years to regress through a whole sign and 25,920 years to trace one
cone-like shape.
To sum up,
the difference is because in the Sidereal system we take the point 180 degrees
opposite the star Spica as the starting point of the Zodiac which is the 1st
degree of Aries and in a Tropical Zodiac the first point of Aries is taken as
the Vernal Equinox, which may not be in Aries against the backdrop of stars.
Xxxxx
Ayanansh
in Sidereal Astrology.
Western
astrology mostly uses the tropical zodiac, in which 0° Aries is fixed
at the vernal point. The vernal point is the point where the Sun is located at
the spring equinox.
By contrast, sidereal astrology
uses a sidereal zodiac whose initial point is defined relative to the fixed
stars. Sidereal astrology has a western as well as an eastern tradition. The
former claims to go back to the Babylonian and Hellenistic traditions, whereas
the latter originates from the Indian tradition, which has become known as
"Vedic" astrology in recent years. (Since Vedic spirituality does not
have anything to do with astrology, this is actually a misnomer, and I shall
henceforward call it "Indian astrology" or "sidereal
astrology".)
Since the
vernal point makes a slow motion relative to the fixed stars, namely the
so-called precession of 1° in 71.6 years, the tropical and the sidereal zodiacs
slowly drift apart. About 1500 - 2000 years ago, both zodiacs almost perfectly
agreed with each other.
However, in our
time, the difference between them amounts to 20° and continues increasing.
Nowadays,
sidereal ephemerides are derived from tropical ephemerides by subtracting a
certain difference value from the tropical positions of the planets. This
difference value is called ayanamsha. The Sanskrit term ayanāṃśaḥ is
composed of the words ayanam, "course (of the Sun), half-year"
and aṃśaḥ, "part", thus literally means "part of the
course".
It refers to
the distance of a solstice from the initial point of the cardinal zodiac sign
that is associated with it. This distance equals the distance of the vernal
point from the sidereal Aries point.
Sidereal
astrologers unfortunately disagree about where exactly in the sky the initial
point of the sidereal zodiac should be located.
There are
numerous divergent ideas about it and, consequently, a considerable number of
different ayanamshas.
New ayanamshas
are invented almost every year. Beginners in sidereal astrology are confronted
with the difficult problem of deciding which ayanamsha to use, unless they
choose to follow the recommendation of their teacher. Hindu astrologers and
their western disciples mostly use the so-called Lahiri ayanamsha, whereas the
western sidereal tradition mostly uses the Fagan/Bradley Ayanamsha.
Lahiri
Ayanamsa.
This is the
ayanamsha mostly used in India, and it is the official ayanamsha used to
determine the dates of Hindu religious festivals. It was introduced in 1955 by
the Indian Calendar Reform Committee and named after its inventor, the
astronomer Nirmala Chandra Lahiri.
Since Indian
religious calendars are defined by the ingresses of the Sun into sidereal
zodiac signs, Hindu religious celebrations depend on the ayanamsha used in
calendar-making. By introducing an official ayanamsha, the Indian government
wanted to enforce that religious holidays fell on the same days in the whole
country. However, the historical basis of this ayanamsha is problematic and
many experts consider it wrong by several degrees.
Lahiri actually
intended that the star Spica (in Sanskrit Citrā) should be fixed at 0°
Libra. However the official definition of the Lahiri ayanamsha does not realise
this idea accurately. This is explained by the fact that the traditional method
of calculating ayanamshas does not take into account the proper motion of fixed
stars and a small change in orientation of the ecliptic plane.
For this
reason, some astrologers have proposed an improved version of this ayanamsha,
the so-called "True Chitra Paksha Ayanamsha".
True
Chitra Paksha Ayanamsha.
This ayanamsha
is considered to be a correction of the Lahiri ayanamsha. The fixed star Spica
(in Sanskrit Citrā) is always located exactly at 0° Libra.
* Suryasiddhanta
Chitra Ayanamsha.
The earliest
clue that supports the view that Spica/Citra was used as a marker of 0° Libra
is found in the ancient Indian astronomy text book Surya siddhanta.
It must be
noted, however, that this work does not talk about ayanamsha, but only mentions
the positions of some fixed stars in a sidereal zodiac. In its present form,
the Suryasiddhanta was composed near the year 500 CE. Older versions of it are
not extant, but are referred to in other texts.
The Suryasiddhanta
Chitra Ayanamsha is defined in such a way that the star Spica was at 0°
Libra in the year 499 CE if projected on the ecliptic in so-called polar
projection. In polar projection, the projection line is not perpendicular to
the ecliptic but is drawn through the celestial north pole and the star. Since
the above-mentioned Spica-based ayanamshas (Lahiri and True Chitra) are projected
on the ecliptic in a right angle, strictly speaking they cannot be justified on
the basis of the Suryasiddhanta.
In addition, it
must be noted that other star positions given in the Suryasiddhanta are not
compatible with Spica at 0° Libra. For this reason, this ayanamsha should not
be considered very reliable either.
* Krishnamurti
Ayanamsha.
The ayanamsha
used by the astrologer K.S. Krishnamurti (1908-1972) is close to the Lahiri
ayanamsha and the True Chitra Ayanamsha.
Ayanamshas
Fixed at Revatī (zeta Piscium) or the Galactic Centre
Ayanamshas
oriented towards Revati (ζ Piscium) or the galactic centre are subsumed in one
group because the resulting zodiac happens to be almost identical. Since
ancient Indian astronomers were not aware of the galactic centre, this
coincidence seems to be rather accidental. From a philosophical point of view,
it probably makes a lot more sense to fix the sidereal zodiac at the galactic
centre than at some random fixed star. Since all visible stars circle around the
galactic centre, it could be called the "central star" of our galaxy.
The galactic centre is also millions of times heavier than any star.
* True
Revati Ayanamsha and
*
Suryasiddhanta Revati Ayanamsha.
According to
the Suryasiddhanta, the star Revati (ζ Piscium) was located at 29°50'
Pisces. Two different ayanamshas can be derived from this information. With
the True Revati Ayanamsha, the star is assumed at this ecliptic position
in rectangular projection.
With
the Suryasiddhanta Revati Ayanamsha, on the other hand, the zodiac is
defined in such a way that Revati had the same position in polar ecliptic
projection in the year 499 CE.
The latter
seems to be more appropriate because the Suryasiddhanta uses polar projection.
However, it must be noted that the position of Revati as given in the
Suryasiddhanta is incompatible with the positions of Spica and other stars as
given in the same work.
Unfortunately,
the star positions of the Suryasiddhanta do not allow us to determine the
underlying ayanamsha.
* Usha
& Shashi Ayanamsha.
This ayanamsha
is named after two authors called Usha and Shashi. It has the
star Revati (ζ Piscium) close to 0° Aries (29°50' Pisces)and the
galactic centre in the middle of the lunar mansion Mula ("root,
origin"), which might have been at the beginning of the nakshatra circle
in very ancient times.
The galactic
centre is a massive black hole in the centre of the Milky Way. Our Sun and all
visible stars circle around it.
Raman
Ayanamsha and Other Indian Ayanamshas.
* B.V. Raman
Ayanamsha
This ayanamsha
was used by the great Indian astrologer Bangalore Venkata Raman (1912-1998). It
is based on a statement by the medieval astronomer Bhaskara II (1184-1185), who
assumed an ayanamsha of 11° in the year 1183 (according to Information given by
Chandra Hari).
Although this
ayanamsha is very close to the galactic ayanamsha of Gil Brand, Raman
apparently did not think of the possibility to define the zodiac using the
galactic centre. According to: Chandra Hari, "Ayanāṃśa",
unfortunately without indication of source.
See also: B.V.
Raman, Hindu Predictive Astrology, pp. 378-379. Here, the year 389 CE is
given as the year of zero ayanamsha.
* Shri
Yukteshwar Ayanamsha.
This ayanamsha
is named after Swami Shri Yukteshwar Giri (1855-1936). We have taken over its
definition from Graham Dawson. However, the definition given by Yukteshwar
himself in the introduction of his work The Holy Science cannot be
reconsiled with it. According to his "astronomical reference", the
ayanamsha on the spring equinox 1893 was 20°54'36" (1894 according to the
revised edition of 1977). At the same time he believed that this was the
distance of the spring equinox from the star Revati, which he put at the initial
point of Aries. Unfortunately, this is wrong, because on that date Revati was
actually 18°23' away from the vernal point. The error is explained from the
fact that Yukteshwar used the zero ayanamsha year 499 CE and an inaccurate
Suryasiddhantic precession rate of 360°/24'000 years = 54 arcsec/year.
Since
Yukteshwar's precession rate is wrong by 4" per year or 6'40" per
century, astro.com cannot offer a correct ayanamsha according to Shri
Yukteshwar.
Unfortunately,
the Yukteshwar ayanamsha, as implemented in the Swiss Ephemeris, does not agree
with any information given by Yukteshwar himself. And unfortunately, its
ultimate origin is unknown to us.
Although this
ayanamsha differs by only a few arc seconds from the galactic ayanamsha of Gil
Brand, Yukteshwar obviously did not intend to define the zodiac using the
galactic centre. He actually intended a Revati-oriented ayanamsha, but
committed the above-mentioned errors in his calculation.
Swami Sri
Yukteswar, The Holy Science, 1920 (1949, 1957 and 1977, partly revised),
Yogoda Satsanga Society of India.
Also see the
paragraphs further above on ayanamshas that are oriented towards the star
Revati.
* True
Pushya Ayanamsha.
This ayanamsha
was proposed by the Indian astrologer P.V.R. Narasimha Rao, the author of the
astrological software Jagannatha Hora. He argues that the human existence has
its root in the heart, which corresponds to the sign of Cancer. For this reason
he chooses the star Pushya (δ Cancri, Asellus Australis) as the
anchor star of the zodiac. According to ancient texts this star is located at
16° Cancer.
P.V.R.
Narasimha Rao, "Introducing Pushya-paksha Ayanamsa" (2013).
True Mula
Ayanamsha (K. Chandra Hari).
With this ayanamsha,
the star Mula (λ Scorpionis) is assumed at 0° Sagittarius.
The Indian
astrologer Chandra Hari is of the opinion that the lunar mansion Mula
corresponds to the Muladhara Chakra. He refers to the doctrine of
the Kalapurusha which assigns the 12 zodiac signs to parts of the
human body. The initial point of Aries is considered to correspond to the crown
and Pisces to the feet of the cosmic human being. In addition, Chandra Hari
notes that Mula has the advantage to be located near the galactic centre and to
have "no proper motion". This ayanamsha is very close to the
Fagan/Bradley ayanamsha. Chandra Hari believes it defines the original
Babylonian zodiac.
(In reality,
however, the star Mula (λ Scorpionis) has a small proper motion, too. As has
been stated, the position of the galactic centre was not known to the ancient
peoples. However, they were aware of the fact that the Milky Way crossed the
ecliptic in this region of the sky.)
K. Chandra
Hari, "On the Origin of Siderial Zodiac and Astronomy".
Ayanamshas
derived from the Suryasiddhanta and Aryabhata.
* Aryabhata
Equinox 499 and
* Aryabhata
Mean Sun 499
The ancient
Indian astronomer Aryabhata (476-550) states that from the beginning of the
Kaliyuga (Kali Age) in 3102 BCE until the spring equinox 499 CE (Aryabhata's
own 23rd year of life) exactly 3600 years have passed. In addition, he assumes
the spring equinox at the initial point of Aries.
From this
information, two possible ayanamshas can be derived. Either the zero point of
the zodiac is assumed at the position of the equinoctial point on the spring
equinox 499 CE, or otherwise at the position of the mean Sun exactly 3600
sidereal years after the beginning of the Kaliyuga.
More
information on these ayanamshas is found in the General Documentation of
the Swiss Ephemeris.
* Suryasiddhanta
Equinox 499 und
*
Suryasiddhanta Mean Sun 499
These
ayanamshas are calculated using the same methods as the two Aryabhata
ayanamshas above, however using the year length of the Suryasiddhanta.
* Aryabhata
522.
According to
Govindasvamin (850 n. Chr.), Aryabhata and his disciples taught that the vernal
point was at the beginning of sidereal Aries in the year 522 AD (= Shaka 444).
This tradition probably goes back to an erroneous interpretation of Aryabhata's
above-mentioned statement that he was 23 years old when 3600 had elapsed after
the beginning of the Kaliyuga.
D. Pingree,
"Precession and Trepidation in Indian Astronomy.
Two
Ayanamshas for the Zodiac and the Nakshatra Circle?
Finally yet
importantly, investigations in the "true original" ayanamsha should
take into account the fact that the nakshatra circle and the circle of the
zodiac were originally created independently of each other. The nakshatra
circle was invented by the ancient Indians, whereas the 12-sign zodiac was
invented by the Babylonians. Contrary to assertions often made by Hindu
astrologers, Pre-Hellenistic Vedic texts do not know or mention any zodiac
signs. E.g., the Mahabharata often mentions the position of the Moon or the
planets in nakshatras, but never in the zodiac signs or the 12 ecliptic
constellations.
In Babylon, on
the other hand, there is no mention of a circle of 27 or 28 lunar mansions,
whereas the zodiacal constellations and signs are very well-attested. The two
systems were brought together and conflated in India in the Hellenistic or
post-Hellenistic period. The details of this conflation process are unknown.
However, it is rather unlikely that the initial point of the original
Babylonian Aries coincided exactly with the initial point of the original
nakshatra Ashvini. Instead, the zodiac or the nakshatra circle or both of them
could have been adjusted in order to bring them into line with each other and
create the conflated circle that is used today. It is therefore possible that
the original Babylonian zodiac and the original Indian nakshatra circle had
separate ayanamshas. In addition, as has been shown, the nakshatra circle might
originally have been defined by the galactic node, which was located at the
beginning or in the middle of Mula.
On the other
hand, the beginning of the Babylonian zodiac was assumed in Aries, not in
Mula/Sagittarius, most probably because the vernal point was located in Aries
and the year began in spring. For this reason, the galactic node cannot have
played any role in the definition of the Babylonian zodiac. Thus, from a
historical point of view, the ayanamshas of the nakshatra circle and the zodiac
should actually be investigated separately.
Interestingly, all ancient
Indian texts that mention the positions of the solstices and equinoxes relative
to zodiac signs place these points at the beginnings of the cardinal signs. The
vernal point is always assumed at the beginning of Aries, no text ever places
it in Taurus or another zodiac sign, the summer solstice is always at the
beginning of Cancer, the winter solstice at the beginning of Capricorn, and the
autumn equinox at the beginning of Libra. Since it is unlikely that all those
texts were written at the same time, it seems that the zodiac introduced into
India was originally tropical, i.e. fixed at the solstices and equinoxes.
Only later, it
was transformed into a sidereal zodiac, most probably because Indian
astronomers were focused on sidereal observation, but did not know how to
handle precession. While some old Vedic texts place the solstices in the
nakshatras Dhanishtha and Ashlesha, it is important to note that these texts do
not know any zodiac signs yet. Perhaps, the American astrologer Ernst Wilhelm,
also an expert in Hindu astrology, comes closest to these facts, since he uses
sidereal nakshatras combined with a tropical zodiac.
Author: Dieter
Koch.
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