Algebra of Aspects In the following pages, I have introduced a new technique of prediction (Algebra of Aspects). It is based on the well- known principles of astrology and some new theories. I have indicated a pattern of planets, which exists in all the charts belonging to persons engaged in any particular profession. The horoscopes can be divided into three types: 1. Those in which Moon signifies the X house. 2. Those in which Moon gains significance when a planet (other than the Ruling Planet) is in unison with the luminary. 3. Those in which the Moon is not a Significator of the X house. As our aim in this article is to prove that the vibrations of planets have a bearing on man's destiny, we have taken for our discussion the first two types only. Note: 1. The horoscopes have been cast according to the Nirayana system (fixed or Sidereal Zodiac). Precision of the 1
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Algebra of Aspects
In the following pages, I have introduced a new technique of prediction (Algebra of
Aspects). It is based on the well-known principles of astrology and some new
theories. I have indicated a pattern of planets, which exists in all the charts
belonging to persons engaged in any particular profession. The horoscopes can be
divided into three types:
1. Those in which Moon signifies the X house.
2. Those in which Moon gains significance when a planet (other than the Ruling
Planet) is in unison with the luminary.
3. Those in which the Moon is not a Significator of the X house.
As our aim in this article is to prove that the vibrations of planets have a
bearing on man's destiny, we have taken for our discussion the first two types only.
Note: 1. The horoscopes have been cast according to the Nirayana system (fixed or
Sidereal Zodiac). Precision of the equinoxes (Ayanamsa) corresponds to the base
year 291 A.D and Newcomb's rate of precision is used.
2. Porphyry's method of House Division is adopted, taking the Cusp as the
midpoint of a house. The ascendant and the mid-heaven are determined and the arc
is trisected to get the other cusps.
3. The charts are displayed in the South Indian style. The house- cusps are marked
I, II, III, etc.
In the case of bank employees, Jupiter, the governor of finances, among other
things, bears positive relationship to the luminary, Moon.
In the case of teachers, Mercury will be related to the Moon
positively.
POLARITY OF PLANETS
A planet becomes positive with respect to the X house when
a) it rules the Sign on the X cusp, or
b) it rules the sign on the Ascendant, or
c) it is close to and above the X cusp (more in longitude than the cusp),
d) it is close to and above the ascendant cusp.
A planet becomes negative with respect to the X house when
a) it rules the sign on the IX cusp, or
b) it rules the sign on the XII cusp, or
c) it lies close to and below the X cusp (less in longitude than the cusp), or
d) it lies close to and below the ascendant cusp, or
e) it lies close to and above the XII cusp.
Note: If a planet has different polarities by rulership and occupation,
ignore rulership.
JUP 16-52 XII 8-24 MOO 1-40
I 10-50 II III
In this Chart Saturn rules Capricorn, the sign on the x cusp. Hence positive. Venus lies close to and above the X cusp. So the planet is positive. Mercury is very close to, but less in longitude than the X cusp (below the cusp). Jupiter is also negative as it rules the sign Sagittarius on the IX cusp. Note that the planet gains negative polarity by being above the XII cusp too.
Significator of a house is the planet which governs the matters of
the house. A planet signifies the houses it rules or occupies.
Occupation is significant only if the planet is close to the cusp. In
other words the planet must be in conjunction with the cusp. The
orb of conjunction is 11 degrees in the case of the luminaries and
the biggest of planets, Jupiter. For the other planets the orb is 10
degrees.
ME ® 26-01
X 22-44
SU 17-26
JUP 0--3 XII 22-07 MOO 24-27 I 22-49
VE 25-01 XII 24-26 Here Mercury and Jupiter are
positive. Saturn, Moon and Venus are negative.
II
VIII III
VII VI MAR (R) 25-11 SAT 18-38
3
Study the following chart.
The signs Sagittarius and Pisces are ruled by Jupiter, which are on
the ascendant and the X cusps. Hence Jupiter signifies the
ascendant and the X. Saturn signifies the XI and XII houses, by
ruling Capricorn and Aquarius respectively. Being very close to the
X cusp, it also signifies the X. Venus signifies III and VIII houses by
ruling the signs Taurus and Libra. It also signifies VI by being close
to the cusp within 10°. Mercury signifies VI house in addition to IV
and VII houses.
I 19-52 II III IV
XII
V
XIME 9-38VE 11-40SU 20-05
X 16-56 SA 7-12
JU 2-16 IX 15-55 MOO 5-58
MA 6-14 VII 19-52
4
Note: In Vedic astrology, the cusp is taken as the midpoint of the
house, which extends to 15° on either side. In Western astrology,
the cusp is the beginning point of the house.
But we have found, in our research, that the planets exhibit their
influence only if they are very close to the cusp. The cusp is taken
as the midpoint and the house extends on either side of the cusp.
A planet becomes a Significator with respect to the X house when
a) It rules the sign on the X cusp (positive), or
b) It rules the sign on the IX cusp (negative), or
c) Occupies the X house and is close to the X cusp above it, (more in
longitude than the cusp) (positive), or
d) Lies close to the X cusp and is below it (less in longitude) (negative).
ASPECTS - POSITIVE AND NEGATIVE
The vibrations of planets are said to focus at certain angular distances
called Aspects.
The orb of an aspect is the angular distance at which the influence of the
aspect begins or ends before or after the focal point. The longitude of
planets may be measured clockwise or anti clockwise.
MAJOR ASPECTS
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Angular distances ORB POLARITY
Conjunction(Same
longitude)9° -
Opposition(180°) 7° -
Trine (120°) 6° +
Square(90°) 5° -
Sextile (60°) 4° +
Semi square (45°) 4° -
Semi sextile (30°) 3° +
MINOR ASPECTS
Angular distances ORB POLARITY
15° 2° +
72° 2° +
108° 2° +
162° 2° +
144° 2° +
22½° 2° -
135° 2° -
150° 2° -
6
Note: Whenever the luminaries and the biggest of planets, Jupiter, are in
aspect to another planet, a liberal orb of 2° more for major aspects, and 1°
for minor aspects should be allowed. The same holds for separating
aspects.
Study the following chart.
IV V VI VII
III
VIII
MOO 19-53
VE 19-37
JU 11-30
SA 26-21
ME 24-4 I 16-25 SU 7-51
XII XI
MA 5-41
X 23-13
7
The following table shows the aspects between planets in the above
chart.
SUN MOON MARS MERCURY
JUPITER VENUS SATURN
SUN ___SEMISQUARE 45 (--)
SQUARE 90 (--) ____
SEMISEXTILE 60 (+)
SEMISQUARE 45 (--)
_____
MOON
SEMISQUARE
45 (--)
_____
SESQUI-QADRATE 135 (--)
____CONJUNCTION (--)
CONJUNCTION (--)
BIQUINTILE 144 (+)
MARS
SQUARE
90 (--)
SESQUI-QADRATE
135 (--)
______
TREDECILE 108 (+)
TRINE 120 (+)
SESQUI-QUADRATE 135 (--)
CONJUNCTION (--)
MERCURY
____
___
TREDECILE
108 (+)
____ _____ TRINE 120 (+)
JUPITER
SEMISEXTILE
60 (+)
CONJUNCTION
(--)
TRINE
120 (+)
____ ______CONJUNCTION (--)
SESQUI-QUADRATE 135 (--)
VENUS SEMISQUARE
CONJUNCTION
SESQUI-
QUADRATE
____ CONJUNCTION
____ BIQUINTILE 144 (+)
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45 (--)
(--)
135 (--)
(--)
SATURN
_____
BIQUINTILE
144 (+)
CONJUNCTION
(--)
TRINE
120 (+)
SESQUI-QADRATE
135 (--)
______
BIQUINTILE
144 (+)
COMBUSTION (ASTHANGAM)
Whenever a planet (other than the Moon) is very close to the Sun (within
8°), it becomes combust. The aspect on and by the luminary is to be taken
into account.
III
MO 0-28
SA 17-19
JU 18-29
V VI
SU 18-02 ME 10-59 VE 5-5
It appears as though there is no aspect on Mercury by Jupiter and Saturn. But note that Mercury is combust and the Sun is in aspect by the two planets. Hence Mercury receives the rays of Jupiter and Saturn. And vice versa, Jupiter and Saturn get the rays of Mercury.
VII
I 12-55 VIII
XII 15-11 MA 15-18
XI
X 21-32
IX
9
UNISON (SAMAGAMAM)
When Moon transits very close to the planets, (other than the Ruling
planet) including the Sun, they attain "Samagama". It is no more a
conjunction. Moon gains the polarity of the associated planet. Unlike in
combustion, the aspect on the planet, not the luminary, should be
considered.
II III IV JUP 6-28 MOO 14-36
SAT19-34 I 10- 20
There is no direct aspect by the Sun on the Moon. But note that Jupiter is in Samagama with Moon and Sun in square to Jupiter.
Hence Sun .............>Square ....> Moon (Jupiter)
VI
XII ME 23-11
XI X VE 13-18 IX 8-10 MA 26-20
SU 2-41
MULTIPLICATION THEORY OF POLARITIES
When a planet A is in aspect to B, it can be represented symbolically as A -
> B and we say that A is related to B. We can say that "A is in aspect to B"
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or "B is in aspect by A". When A is in aspect to B, B need not necessarily be
in aspect to A. This occurs because the luminaries and Jupiter have a
greater orb than the other planets.
In the above chart, consider Mercury and Jupiter. The angular
distance between the planets is 82°-38" =83°.
Jupiter aspects Mercury. The orb is 7°. The orb of square aspect is
5°.Jupiter being the biggest of planets, has a greater orb of 2°
more.So, Jupiter ----Square (90) ----> Mercury.
But Mercury does not aspect Jupiter, as the prescribed orb is only
5°. Jupiter is in square to Mercury is not in aspect to
Jupiter.
I 19-52 II III IV
XII 6-9-1959, 7-55 AM
11-06 N, 79-22 E
V
XI
Me 9-38
Ve(r)11-40
Su20-05
X 16-56
Sa 7-17 Ju 2-16 Mo 5-58 Ma 6-14
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Whether the relation is positive or not is to be judged by multiplying the
polarities of the planets and the aspect.
In the above chart, consider the relationship between Jupiter and Saturn
with respect to the ascendant.
Jupiter rules the sign Sagittarius on the XII cusp. Hence negative. Saturn
owns the sign Capricorn on the ascendant and so the planet is positive. The
angular distance is 152-03.
Jup (-) ......... 150 (-)........... > Sat (+) = +
By multiplying the polarities of the planets and the aspect, the product is
positive! So Jupiter bears positive relationship to Saturn with respect to the
ascendant.
Let us consider the relation ship between Mercury and Saturn w.r.t. the VI
house. Saturn rules the sign on the I cusp and hence positive. Mercury is
the lord of Gemini on the VI cusp and gains negative polarity. The angular
distance is 123-14 ~ 120.
Me (-) .........120 (+) ..........> Sa (+) = -. So Mercury is negatively related to