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.

1

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. 

    IV

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

    V

ME 26-43 MAR 20-31SUN 7-34 

  VIII   VII     VI

2

 IX     I5-58

 

 

 

 

 

 

 

 

 

 

 

 

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.

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

5

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  (+)

8

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

11

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

Saturn w.r.t. VI house. 

                     .................................................................

 III    IV           V            VI

MO  11-35

 

JUP  21-48

  I     27-27 ME  20-37

SA  23-51  XI  X    MA  12-00SU  7-37 VE  12-01

12

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  

Su 21-34

Ve 8-38

Me 2-09

XI  0-37

Sa 12-08

XII  28-32

X  2-43

Ma 28-46 

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

 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.  

13

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

        

   Bank Employee

29-11-1959   11-10 hrs

 77-00E     11-00 N

 

I  20-14  

XII  22-59 Sa 12-31

 Ju 18-14   Su 13-03 Ma 3-37 Me (r) 2-35

X  28-30 Mo 27-00  

 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!

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

  Ma 20-19    Ve 6-16  Su 11-12  Me 20-17

 Bank Employee    

26-06-1958  16-45 I.S.T    

11-39N 78-12 E

 IX

   X  16-13

   I  14-52  Sa 28-20

 Mo 8-27  Ju 28-40

  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.

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

14

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!

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

 Ma 5-37Me16-44  SU 25-55    

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

 

I    6-54  

Sa(R)25-06 XII  16-20 Jup(R) 9-49

  Mo 5-39   X 15-11  

15

 

 

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.

 

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

 

  VII VIII IX

Ju (R) 6-29

Bank Employee   

19-09-1950           

08-35Hrs.  11-39 N     78-12 E

 

X     6-37

IV

Ve 18-09       Me 29-00(R)

Mo 5-24 Ma 2-20 I    8-26Sa 0-01      Su2-34 

16

 

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

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

relationship!

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

       

Mo 19-45

Bank Employee

28-11-1949  

  07-15 Hrs         78-12 E           11-39 N

 

Ma 24-11

Sa 25-28

X   27-09

Jup 6-27  

Ve 29-26Su 12-28 Me 15-55  I  24-05

   

17

 

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! 

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

Jup 15-27 VII VIII IX

Su 6-39

Bank Employee          20/21-01-

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

X   21-57

IV

Me 17-07 Ve 28-38

Ma 7-16

Mo13-48  

  I   23-13

Sa 21-53

18

 

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. 

 

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

 

 

VIII IX X   21-13 Mo 0-50

Jup 12-37Bank Employee       

11-12-1962   23-50 Hrs 

11-39 N  78-12 E

 

 

Sa 14-40

 Ma 0-16   I   19-48

Me 5-00 Su 26-00 Ve 20-18II

 Ma 3-27   Ve 8-25 Me 0-31  Su 18-20

 

 

 

 

    X    17-20

 Sa (R) 0-05I   16-03 Mo 27-04

   Ju(R) 28-59

19

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!

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

20

 

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.

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

Ma 23-05    Sa (r) 4-42 Ju (r) 28-30  Mo 22-03

      Teacher

 13-10-1941

 9-00 AM

 82-14 E   16-57 N

 

X  11-43

   I  19-04 Ve 9-47

 XII  9-57  Me 18-54

 Su 26-28

21

 Ve 23-56 XII  11-04 Me (r) 11-17  Su 25-38

 I  14-00  Ju 23-27

 X  5-12  Mo  1-31

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

 Ma 21-38

 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 (-) = +

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

22

     Ma (r) 22-21  Sa (r) 1-32

  Teacher  29-11-1943

 7-10 AM

 78-12 E     11-39 N

 IX

   X  26-25Jup 3-44

 Mo 1-40 I  23-29   Me 23-21   Su 13-01

   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.  

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

   Mo 15-40  Ju (r)  28-24  

 Sa 21-51  Ma 6-20

 Teacher

 30-01-1966      

12-30 AM          

78-12 E    11-39 N

 

 X  16-00

 Su 16-10   Me 11-20  Ve (r) 10-37

     I  17-40  

23

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 (+) = +

 

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

 

 Ju 15-27      

 Su 6-39 Teacher

 21-01-1952

 1-30 AM

78-12 E     11-39 N

 X  21-57

   

 Me 17-07  Ve 28-38 I  23-13 Mo 13-48 Ma 7-16

 

24

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.

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

25

       

 Ju (r0 6-29Teacher

 19-091950        

  8-35 AM           

78-12 E   11-39 N

 X  6-36

   Ve 18-09 Me (r) 29-00

 Mo 5-54  Ma 2-20  I  8-25 Sa 0-01  Su 2-34

 

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. 

 

  Ma 17-06      IX

 Teacher

 26-12-56 

2-25 AM

 77-37 E   12-56 N

X  10-15

 Me 0-44  

 Su 10-56  Sa 15-29  Ve 14-25

 I  11-45  Ju 7-56  Mo 29-02

26

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

27

chart, 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.

           .............................................................................................

28