Algebra Of Aspects (part 1)

1

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.

2 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

SAT 26-21 VE 6-14 X 3-32

ME 26-43 MAR 20-31 SUN 7-34 IX

I5-58

I

10-50

II

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.

VIII

VII

III IV

V

VI

3

ME ® 26-01 XII 22-07 X

22-44

JUP 0--3

I

22-49

MOO 24-27 SU 17-26 VE 25-01 XII 24-26

VIII

VII

Here Mercury and Jupiter are positive. Saturn, Moon and Venus are negative.

VI

II

III

MAR (R) 25-11 SAT 18-38

SIGNIFICATION: 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.

4 Study the following chart.

I 19-52

II

III

IV

XII

V

ME 9-38 VE 11-40

XI

SU 20-05

X 16-56 SA 7-12

JU 2-16 IX 15-55

MOO

5-58

MA 6-14 VII 19-52

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.

5 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

6 Angular distances

ORB POLARITY

Conjunction(Same 9°

-

Opposition(180°)

7°

-

Trine (120°)

6°

+

Square(90°)

5°

-

Sextile (60°)

4°

+

Semi square (45°)

4°

-

Semi sextile (30°)

3°

+

longitude)

MINOR ASPECTS

Angular distances

ORB POLARITY

15°

2°

+

72°

2°

+

108°

2°

+

162°

2°

+

144°

2°

+

22½°

2°

-

135°

2°

-

150°

2°

-

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.

7

IV

V

VI

III

VII

VIII

MOO 19-53 VE 19-37

SA 26-21

JU 11-30 MA 5-41 ME 24-4 I 16-25 SU 7-51

XII

XI

X

23-13

The following table shows the aspects between planets in the above chart.

8

SUN

SUN

___

MOON

SEMISQUA SQUARE RE 45 (--)

SEMISQU ARE MOON

45 (--)

MARS

_____

MERCU JUPITER VENUS SATURN RY SEMISEXT SEMISQU ILE ARE ____ _____

90 (--) SESQUIQADRATE

60 (+)

____

135 (--) SQUARE MARS

90 (--)

SESQUIQADRATE 135 (--)

CONJUNC CONJUNC BIQUINTI TION TION LE (--)

TREDE TRINE CILE ______ 108 (+)

45 (--)

(--)

SESQUICONJUNCT QUADRAT ION E

120 (+) 135 (--)

TREDECIL E MERCU RY ____

___

108 (+)

(--)

120 (+)

(--)

TRINE ____

_____ 120 (+)

SEMISEX CONJUNCT TRINE TILE ION JUPITE R 60 (+)

144 (+)

____

SESQUICONJUNC QUADRAT TION E ______ (--)

135 (--)

SESQUISEMISQU CONJUNCT ARE ION QUADRAT E VENUS ____ 45 (--) (--) 135 (--)

SATUR N

CONJUNC TION (--)

_____ BIQUINTIL CONJUNC TRINE SESQUIE TION QADRATE 120 (+)

____

BIQUINTI LE 144 (+)

______ BIQUINTI LE

9

144 (+)

(--)

135 (--)

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.

MO 0-28 SA 17-19 III

SU 18-02 ME 10-59 VE 5-5

I

V

JU 18-29

12-55

XII 15-11 MA 15-18

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. XI

X

21-32

VI

VII

VIII

IX

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

10 conjunction. Moon gains the polarity of the associated planet. Unlike in combustion, the aspect on the planet, not the luminary, should be considered.

JUP 6-28 II

III

IV MOO 14-36

SAT19-34 I 10- 20

There is no direct aspect by the Sun on VI the Moon. But note that Jupiter is in Samagama with Moon and Sun in square to Jupiter.

XII

Hence Sun .............>Square ....> Moon (Jupiter)

XI

X

VE 13-18 IX 8-10 MA

ME 23-11

SU 2-41

26-20

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" 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.

11

I

19-52

XII

II 6-9-1959,

III 7-55 AM

11-06 N, 79-22 E XI

IV

V Me 9-38 Ve(r)11-40 Su20-05

X 16-56 Ju 2-16

Mo 5-58

Ma 6-14

Sa 7-17

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.

12 Whether the relation is positive or not is to be judged by multiplying the polarities of the planets and the aspect.

IV

III

V

MO 11-35

I

VI

JUP 21-48

27-27

ME 20-37 SU 7-37

SA 23-51

XI

X

MA 12-00 VE 12-01

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.

13 Me (-) .........120 (+) ..........> Sa (+) = -. So Mercury is negatively related to Saturn w.r.t. VI house. .................................................................

Bank Employees

Ju 29-12

Bank Employee 7-12-1953 6-56 hrs 79-09 E

12-56 N

I 26-27 Mo 28-43

XI 0-37 X 2-43

Su 21-34

Sa 12-08 Ma 28-46

Ve 8-38

XII 28-32

Me 2-09

It appears as though Moon is not a Significator of the X house, as it is in no way connected to the X or IX house. But, it may be noted that the Sun, which rules Leo, the sign on the IX cusp is in Samagama (Unison) with Moon, being close to it (within 8º). So Moon gains significance and is negative in character. Jupiter is in opposition to Sun. Jup --180°--> Sun

14 Jupiter is neutral since it is not connected to the Ascendant, XII, X or IX, either by rulership or by occupation. Moon is negative because, it attains the polarity of the planet transiting very close to it. Ju(N) --180°(-)-->

Su(-) (Mo)= +

Moon is positively related to Jupiter.

---------------------------------------------

Bank Employee 29-11-1959 I 20-14 XII 22-59 Sa 12-31

11-10 hrs

77-00E 11-00 N Ju 18-14 X 28-30 Su 13-03 Ma 3-37 Mo 27-00 Me (r) 2-35

Moon is just below the X cusp and hence signifies the house. Jupiter is combust by being very close to the Sun (within 8º). Sun is 15º away from the Moon. Sun (Jup)--15º--> Mo. Moon is negative. Jupiter is also negative as it rules the XII house. Sun (-)--15º (+) -->Mo (-) = + Jupiter bears positive relationship to Moon! --------------------------------------------------------------

Su 11-12 Ma 20-19

Ve 6-16 Me 20-17 Bank Employee

IX

26-06-1958 16-45 I.S.T X 16-13 11-39N I 14-52

78-12 E Mo 8-27

Sa 28-20

Ju 28-40

15 Moon signifies IX house by ruling the sign Cancer. Hence negative in character. Jupiter is neutral. Jupiter is in conjunction with Moon. Jup (N) ----- conjunction (-) ------> Moon (-) = +. The relationship is positive. --------------------------------------------------------------

Ma 5-37

I

6-54

Sa(R)25-06 XII 16-20 Jup(R) 9-49

Me16-44 SU 25-55

Bank Employee 09-05-1960 23-32Hrs. 78-10 E 9-58 N

Mo 5-39 X 15-11

Moon occupies the X house. It is close to the cusp within its orb of conjunction (10°). The angular distance between Moon and Jupiter is approximately 64°. So, Jupiter is in sextile to

Moon. Jup --60°--> Moon.

Jupiter rules Sagittarius, the sign on the XII cusp. Moreover, it is close to and above the XII cusp. Hence, it is negative in polarity. Moon is below (less in longitude) the X cusp. So moon is negative. The aspect is positive. Jup (-) --60° (+) -->Mo (-) = + It is a positive relationship!

16 ------------------------------------------------------------------

VII

VIII

IX

X

Bank Employee

6-37

Ju (R) 6-29 19-09-1950 Ve 18-09 08-35Hrs. 11-39 N

78-12 E

IV

Mo 5-24

Ma 2-20

I

8-26

Me 29-00(R)

Sa 0-01 Su2-34

17

Here, Moon rules Cancer, the sign on the X cusp. So Moon is the significator w.r.t. the X, the house of profession. The angular distance of Moon from Jupiter is 61°-05' = 61°. So, Jupiter is in sextile aspect to Moon. Jup (N) --60° (+) -->Moon (+) = +

It is a positive relationship.

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18

Ma 24-11 Mo 19-45

Bank Employee Sa 25-28

28-11-1949 07-15 Hrs Jup 6-27

Ve 29-26

78-12 E

11-39 N

X 27-09

Su 12-28 Me 15-55 I 24-05

Moon rules the sign Cancer on the IX cusp. So it is a Significator. Jupiter bears semi-square aspect to Moon (43°-17' = 45°). Jupiter is not associated with IX, X, XII or I. So, it is neutral with respect to the X house. Moon is

19 negative by ruling IX. Jup (N) --45° (-) -->Moon (-) = + It is a positive relationship!

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Jup 15-27

VII

VIII

Su 6-39

X 21-57 Bank Employee

IV

IX

20/21-01-

1952 01-30 Hrs 11-39 N78-12 E

Ma 7-16 Me 17-07

Ve 28-38

Mo13-48 I 23-13

Sa 21-53

20 Moon rules the sign on the X cusp. So, Moon becomes a Significator with respect to the X house. The luminary is 151°-39' away from Jupiter. The nearest aspect is 150° (orb allowed is 2°). Though Moon rules X, it is very close to the Ascendant cusp and is below the cusp (less in longitude). So, it is negative in character (Occupation is more powerful than rulership). Jupiter is neutral. The aspect is negative.

Jup (N) --150° (-) -->Moon (-) = +

It is a positive relationship! -------------------------------------------------------------------------

VIII

IX

X 21-13

Mo 0-50

Bank Employee Jup 12-37 11-12-1962 23-50 Hrs Sa 14-40 11-39 N 78-12 E

Ma 0-16 I 19-48

Me 5-00

Su 26-00

Ve 20-18

II

21

Moon is within 10° from the X cusp and hence signifies the house of profession. The luminary is 108° away from Jupiter, which is an aspect. Jup--108°-->Mo. Moon is transiting above the X cusp at the moment of birth.

Hence positive in quality with respect to the X house, though it rules the sign on the II cusp as occupation is stronger than rulership. Jupiter is neutral. Jup (N) ---- 108° (+) ---> Moon (+) = + the relationship is positive with respect to the X house. ----------------------------------------------------------------

Ma 3-27

Ve 8-25

Me 0-31 Su 18-20

X

Sa (R) 0-05

I 16-03 Mo 27-04

17-20

Ju(R) 28-59

22

The sign Cancer is on the IX cusp. Hence, Moon becomes a Significator with respect to the X house. Moon is approximately 60° away from Jupiter. Jup --60°--> Moon. Moon is negative by rulership of IX. But being close to the Ascendant cusp and above it (more in longitude), it gains positive polarity. As occupation is more powerful than rulership, Moon is considered positive. Jupiter is neutral. Jup(N) -60°(+)-->Moon(+) = + It is a positive relationship! So the native has become a bank employee! -----------------------------------------------------------------

Sa (r) 4-42 Ju (r) 28-30

Ma 23-05

Mo 22-03

Teacher 13-10-1941 X 11-43

9-00 AM 82-14 E I 19-04 Ve 9-47

16-57 N XII 9-57 Me 18-54

Su 26-28

23

This horoscope belongs to a teacher. Mercury is Trine to Moon. Mercury, the indicator of Education is negative by being close to and above the XII cusp. Moon is also negative by ruling Cancer. Me (-) -- 120º (+) --> Moon (-) = + So, Mercury is positively related to Moon with respect to the X house.

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24

Ve 23-56

XII 11-04 Me (r) 11-17 Su 25-38

I 14-00

X 5-12 Mo 1-31

Ju 23-27

Ma 21-38 Teacher 10-05-1931 7-10 AM 78-12 E 11-39 N

Sa (r) 0-26

Moon is just below the X cusp signifying the house, negative in character. Mercury is in Quintile aspect to the Moon (72º). Mercury just above the XII cusp; the planet is negative in polarity. Mercury (-) ----72º (+) ----> Moon (-) = +

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25

Ma (r) 22-21

Teacher 29-11-1943

Sa (r) 1-32

IX

7-10 AM 78-12 E

Mo 1-40

11-39 N

I 23-29 Me 23-21 Su 13-01

X 26-25 Jup 3-44

Ve 26-50

Moon rules the sign Cancer on the IX cusp. But it is very close to and above the ascendant. (More in longitude than the cusp). Occupation is stronger than rulership. Hence Moon is positive. The luminary is in conjunction with Mercury (8 degrees). Mercury is in rapt conjunction with the ascendant, but below it. Hence negative. Mer (-) ----conjunction (-) -----> Mo (+) = + Mercury bears positive relationship to Moon with respect to the X house.

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26

Mo 15-40

Ju (r) 28-24

Sa 21-51

Teacher

X 16-00

Ma 6-20

30-01-1966 12-30 AM

Su 16-10 Me 11-20

78-12 E

Ve (r) 10-37 11-39 N

I 17-40

Moon signifies X house by ruling the sign on the X cusp. Mercury rules Virgo the sign on the XII cusp and so negative in polarity. It is combust by being very close within 8 degrees to Sun. So consider the aspect by Sun to Moon. Moon is in square (90) by Sun. Mer (Sun) (-) ---- Square (-) -> Mo (+) = +

27 -----------------------------------------------------------------

Ju 15-27

Su 6-39

Teacher

X 21-57

21-01-1952 1-30 AM 78-12 E

Me 17-07

Ve 28-38

11-39 N I 23-13 Mo 13-48 Ma 7-16

28

Moon is positive by rulership but negative by occupation. Note that the luminary is very close (within 10 degrees below) to the ascendant. Hence negative in polarity. Mercury rules Virgo the sign on the XII cusp. Hence negative. Mercury is in sextile aspect to Moon (The orb is nearly 4 degrees) Mercury (-) ---- 60 (+) ---- -> Moon (-) = + The relationship is positive.

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Teacher Ju (r0 6-29

X 6-36

19-091950 8-35 AM 78-12 E

Ve 18-09 Me (r) 29-00

11-39 N

Sa 0-01 Mo 5-54

Ma 2-20

I 8-25 Su 2-34

29

Here Moon is positive. Mercury is combust by being very close to Sun. Mercury is negative by ruling Virgo the sign on the XII cusp. Sun is in Square aspect to Moon (90 degrees). Sun (Mercury) (-) ------90 (-) ----> Moon (+) = + By multiplying the polarities of the planets and the aspect, the product is positive. Mercury bears positive relationship to Moon w. r. t. the X house.

IX

Ma 17-06

Teacher

X 10-15

26-12-56 2-25 AM Me 0-44

77-37 E

12-56 N

Sa 15-29 Su 10-56

Ju 7-56 I 11-45

Ve 14-25

Mo 29-02

30

Moon rules Cancer, the sign on the X cusp. Hence, positive. Mercury gains negative polarity by ruling Gemini on the XII cusp. Mercury is exact square to Moon. Mercury (-)..... Square (-) .......> Moon (+) = +

CONCLUSION It is now clear that man’s destiny is already predetermined at the moment of birth. From the discussion of the example charts, it will be clear that we have proved two things. a) The ruling planet is invariably related to Moon by aspect. b) The relationship is always positive with respect to the X house.

An interesting point to be noted is that Jupiter or Mercury does not rule any one profession. For example Jupiter has law, priesthood etc in his domain. Mercury rules communication, statistics etc in addition to teaching. "All crows are black birds" but "All black birds are not crows". The converse is not always true. Mercury should be positively related to the Moon in a teacher's chart. But if the planet is positively related to the Moon in a chart,

31 the native need not be a teacher! He can be an ambassador, auditor or a journalist. Hence the need for research to find out which planets bear positive relationship to the Moon in the chart for any particular profession (In case the luminary gains significance to the X house). Any point of the zodiac moves very fast over the cusps (at the rate of one degree approximately for every four minutes). The planets gain or lose their significance of houses and their polarities are also altered within a very short time. This explains why twins born with a few minutes' difference have different characteristics. Algebra of Aspects is a technique, which can be employed successfully for rectification of unknown birth times.

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