THE SUN IN THE LUNAR MANSIONS Buz & Golda Overbeck ...

THE SUN IN THE LUNAR MANSIONS
Buz & Golda Overbeck
ABSTRACT
The solar positions of 2,493 Clergy were
submitted to statistical analysis in 3
"Zodiacs" and 4 Lunar Mansion schemes.
In effect, 8 Sidereal and 4 Tropical
classes of 27 or 28 Mansions were tested
for a total of 12 Lunar Zodiacs, Of
these, 7 permitted rejection of the Null
Hypothesis at the .05 level. The Tropical
solar distribution in the 28 Lunar Mansions,
measured from 00 Taurus was the most
significant with a percentile of 99.8%.
INTRODUCTION
In an article entitled LUNAR ZODIACS-STATISTICAL ANALYSIS, The Constellations,
Vol. 2 No. 2., December 1976, Mike Black gives the results of his "Statistical
Study of the Lunar Zodiac." In his study, Mr. Black tested four lunar zodiacs as
follows:
CLASS
CLASS
A
B
1. 27 Asterisms Mansions from 00 Aries
2. 27 Asterisms Mansions from Q0 Taurus
3. 28 Asterisms Mansions from 00 Aries
4. 28 Asterisms Mansions from 00 Taurus
The source of his data was taken from PROFESSION AND BIRTH DATE, Donald A. Bradley,
Llewellyn Publications 1950, consisti fte Inetar zodiacal distributions of
2,492 Clergyman. Although he tested the distributions of the Sun, Moon, Mercury,
Venus, Mars, Jupiter and Saturn, the solar study was the major one discussed and it
is with that which we concern ourselves.
Black gives the results of his study as follows:
CLASS X2 VALUE ODDS
A 00 Aries 43.50 47 to 1
A 00 Taurus 46.66 90 to 1
B 00 Aries 29.62 Negligible
B 00 Taurus 60.00 More than 1,000 to 1
He concludes "This not only seems to affirm that the original Lunar Zodiac of
28 Asterisms is the only true lunar zodiac, but also confirms Cyril Fagan’s
long-held contention that Taurus is the 1st sign of the zodiac."
The project included here, is an attempt to duplicate his results.

The subject of the lunar mansions is an intriguing one, coming from Astrologys very
beginnings. There can be no doubt that the earliest Astrology was based on a lunar
zodiac and at least three such schemes have survived to present days, from India,
China, and Arabia. Of these, it is the Hindu version we intend to explore in this
article.
It appears that the original Hindu Lunar Zodiac was made up of 28 Nakshatras, or
Constellations, each exactly 12 51’ in length. At an undertermined period, this
was changed to 27 Mansions of 13 20’. Why this was done is not known, however,
there is evidence to suppose the reasons were numerological. In any case, so it
remains, and the Hindu Lunar Zodiac of today may be defined as being comprised of
27 Nakshatras, each 13 20t in length, measured from 0 Aries.
However, the research of Fagan and others raises doubts as to the authenticity of
this scheme. This research establishes that at the time of Parasara Circa 3,000 BC
the Vernal Point was in Taurus, and this is confirmed by the fact that most ancient
Lunar Mansion lists begin with the Pleaides. If this is so, then perhaps the
Mansions should be taken from that point today.
These are the questions that Mike Black attempted to answer in his report;
however, in reading this report there were certain things that bothered us.
1. TOO MUCH ROOM FOR ERROR. Bradleys totals are given in whole degrees;
that is, the fractional part of the solar position was ‘rounded up’ to
the next highest degree. This is fine and acceptable. However, in order
to work from Bradleys table of degree totals, Mr. Black rounded-up the
Asterisms position to the next whole number. In this way, the length of
an Asterism, in the 27 Mansion scheme, was rounded up from 13 20’ to 14 .
This changes the Lunar Zodiac from 27 Asterisms, each exactly 13 20’ in
length, to one of the following patterns: 14 , 13 , 13 , 14 , 13 , 13 ...
The 28 Mansion zodiac is treated in the same way, resulting in the pattern:
13 , 13 , 13 , 13 , 13 , 13 , 12 .. .this use of rounded up Mansions
from rounded up degree totals made us nervous
2. THE AYANAMSA. Black states that the mean SVP’ for Bradleys study was
70
08’ Pisces, the compliment of which gives an ayanamsa of 22 52’ at
the center of his data span, 3-25-1830 to 4-25-1899 or 1865. Curiously,
this mean value differs from the low end and high end value of the ‘true’
Ayansmsa by – 29’ which is exactly the difference between a 27 and 28
based Mansion, 13 20’ - 12 51’ = 29’. This increases the margin
for error.
3. A supiciously high chi square value of 60 for "28 degrees of freedom".
It should be 27 DOE for the 28 based zodiac and 26 DOE for the 27
4. The lack of data, or documentation in the article itself.
These were our principle objections to the study and our main reason for attempting
to duplicate it. However, it was not the only reason, as there were other questions
we hoped to answer at the same time
‘The SVP, or Synetic Vernal Point, is the name given by Bradley to his refinement
of Fagans original value

We assumed, as did Black, that the Mansions are a product of Constellational
Astrology and so should be viewed within the frame work of the Sidereal Zodiac.
This was a natural assumption as we are working with the Hindu Mansions and
Indian Astrology was, and is, ex-precessional. Yet precession is measured
astrologically by the Ayansmsa which is supposed to measure the distance between
Sidereal and Tropical starting points at any given time. Yet, there is little
global agreement on this value. Ironically, Western Sidereal Astrologers have
unanimously accepted Bradleys value mentioned above, while the Hindus have yet
to settle the matter. We know of at least three 3 different values of the
Ayanamsa in use by Indian Astrologers today.
In light of this, we felt that a true test of the Hindu Mansion scheme should
include the adoption of an Ayanamsa indiginous to the system, and of the three
mentioned above, we chose to use the value accepted by the Indian Government,
known also as the Lahiri Ayanamsa. This value differs from the SVP used in
Blacks study by approximately 541 and its mean value for 1865 is 8 Pisces 02’
We give this for comparison only, as the actual value was used in each case.
There was one other test we wanted to build in which addressed the Zodiac
question directly.
We wanted to check our earlier assumption that the Mansions, if valid, should
be so only in the Sidereal Zodiac. To do this we decided to test the
distribution in the Tropical Zodiac at the same time. This was done, with
rather surprising results.
Our final model then, involved the testing of three groups of four schemes,
as follows:
Group 1. Tropical Zodiac ... TZ
Group 2. Sidereal Zodiac ... Fagan/Bradley Ayanamsa SZF
Group 3. Sidereal Zodiac ... Hindu/Lahiri Ayanamsa SZL
Scheme 1. Aries Fiducial ... 27 Mansions
Scheme 2. Taurus Fiducial ... 27 Mansions
Scheme 3. Aries Fiducial ... 28 Mansions
Scheme 4. Taurus Fiducial . . . 28 Mansions
I
DATA
The source of our data was PROFESSIONS AND BIRTH DATE, table 25.. .Birthdates
of 2,492 Eminent Clergyman, pages 109-117. We counted, and used, 2,493 dates
which were stored on tape to be accessed by the program used in the analysis.
II
METHOD
The procedure used was to recalculate the Solar Distribution, given in
Bradleys Profession and Birth Date, from the dates contained therein.
The Solar positions, as in that study, were computed for 12:00 GMT, and
were not rounded. The Mansion positions were determined and tallied for
each of our four schemes. The actual calculations and distributions were
done on a PET 2001 32K Computer using a program developed by the authors.
Three ‘runs’ were performed, one for each group. For groups 2 and 3,
the Tropical Solar longitude was calculated, the appropriate /1yanamsa was
computed for the date, then subtracted from the TZ position to give the
equivilent SZ position for each date. The Mansion positions were then
determined and tallied.

Each run produced 3 solar distributions in our four mansion schemes,
which gives us our observed frquency of occurance.
To determine the expected frequencies, a very direct method was taken.
A program was developed which calculated the ACTUAL distribution over
the time span. The solar longitudes were calculated for 12:00 GMT
starting March 25, 1830 and continuing for every subsequent day up to
and including April 25, 1899, the last date given.
As before, three runs were made, one for each group, each consisting
of 25,233 solar calculations, the range of the data in days. Each
run produced 3 solar distributions in our four Mansion schemes,
representing the ACTUAL solar distribution over the time span. From this,
the EXPECTED frequencies, probabilities for each Mansion in each scheme
was calculated by the formula:
P = NF/D
III TEST STATISTIC
Where P = The probability of occurance
F = The actual frequencies
D = The time span of the data in days
N = Sample Size 2,493
The test statistic used was a Chi-square contingency test of independence.
This was selected to test the Null Hypothesis that the observed and expected
frequencies are both from the same underlying distribution. Our hypothesis
then, is that there is nothing unusual or significant about the number of
observed clergy Suns in each Mansion compared with the number of actual Suns
in each Mansion: they are both different expressions of the same underlying
distribution.
In order to reject this Hypothesis, at the .05 level, we require the
following chi-square values:
For 27 Mansions with 26 degrees of freedom: 38.89
For 28 Mansions with 27 degrees of freedom: 40.11
An ‘off the shelf’ program was used to calculate the 2x27 and 2x28 tables
for each group.
IV
RESULTS
The table below summarizes the results of each test by giving the chi-square
statistic and level of significance for each group and scheme.
SIDEREAL SF7 SIDEREAL sLF TROPICAL
X2 38.66 43.74 42.01
ARIES / 27
. Level .052 .016 .024
43.93
27
37.96 44.42
TAURUS!
. Level .015 .061 .013
X2 32.58 33.41 39.96
ARIES/28
. Level .211 .184 .052
x2 50.04
TAURUS/20.
44.46 53.02
Level .005 .019 .002

The solar positions of 2,493 clergymen have been tested in 12 Lunar Zodiacs,
of these, 7 allow rejection of the Null Hypothesis at the .05 level. Ranked
in order of significance, these are:
GROUP SCHEME LEVEL ODDS to 1
1. Tropical 28/Taurus .002 500
2. Sidereal SZF 28/Taurus .005 200
3. Tropical 27/Taurus .013 77
4. Sidereal SZF 27/Taurus .015 67
5. Sidereal SZL 27/Taurus .016 63
6. Sidereal SZL 28/Taurus .019 53
7. Tropical 27/Aries .024 42
V
CONCLUSIONS
We were partially able to duplicate the results of Blacks study in as
far as it went.
Our results show, that of the 4 SFZ Zodiacs tested by Black, the 28 Lunar
Mansion scheme beginning from Taurus leads the rest, although our statistic
is more modest, 50 vs 60.
However, and much to our surprise, of the 12 Zodiacs tested, it is the
Tropical Solar Longitudes in the 28 Mansions measured for 0 Taurus which
dominates the study with a percentile of 99.8%.
Of equal surprise is that 7 of our 12 Zodiacs allowed rejection of the
Null Hypothesis at the 0.05 level. This makes us suspicious of the adopted
rejection level, and the statistical significance of our results difficult
to access. In truth, this study has asked more questions than it has
answered, and we are suspending any conclusions we might have until we can
attempt to replicate this study.
What perhaps is most clearly shown by this study is the need for caution in working
with samples of this sort, and restraints in infering too much. However, the
results are interesting enough to encourage further investigation of the
Lunar Mansions.

LUNPR M1NSIONS
Subject; CLEPGY
Factor:
SIDEREAL
N:
2,493
Date:
August 1979
Range: From March 25, 183Q To April 25, 1899
ARIES/27 TAURUS/27 ARJES/28 TAURUS/28
MANSIONU Obs Exp. Obs Exp. X Obs Exp. XZ Obs Exp. X2
1 74 92.61 3.74 84 93.51 .97 70 89.16 4.12 83 90.25 .6
2 89 93.42 .21 112 96.66 2.43 86 90.15 .19 103 92.68 1.15
3
4
90
101
93.87
95.58
.16
.31
63
69
92.25
93.06
9.28
6.22
89
89
90.6
91.32
.03
.06
64
68
89.27
90.35
7.15
5.53
5 76 93.51 3.28 90 94.77 .24 90 91.59 .03 79 90.71 1.51
6 71 93.06 5.23 106 95.85 1.07 60 88.98 9.44 104 92.68 1.38
7 77 93.78 3 100 95.31 .23 71 90.06 4.03 97 91.87 .29
8 105 95.85 .87 114 95.67 3.51 95 91.95 .1 109 92.41 2.98
9 102 95.49 .44 103 94.5 .76 103 92.49 1.19 106 91.69 2.23
10 111 95.76 2.43 84 91.89 .68 102 92.13 1.06 83 89.27 .44
11 112 95.13 2.99 105 93.15 1.51 102 91.5 1.2 92 89.18 .09
12 84 92.25 .74 109 93.06 2.73 97 90.42 .48 106 89.99 2.85
13 95 92.61 .06 85 90.19 .3 94 89.7 .21 95 88.46 .48
14 115 93.6 4.89 95 90.55 .22 98 89.34 .84 73 85.76 1.9
15 87 90.55 .14 93 90.1 .09 101 89.07 1.6 101 87.92 1.95
16 89 90.19 .02 89 89.2 0 78 86.47 .83 89 86.57 .07
17 96 90.37 .35 93 89.74 .12 95 87.64 .62 77 85.31 .81
18 98 90.1 .69 89 89.11 0 92 86.92 3 95 86.75 .78
19 84 88.75 .25 86 89.02 .1 84 85.93 .04 81 85.67 .25
20 98 90.01 .71 103 90.81 1.63 85 85.93 .01 91 86.48 .24
21 82 88.57 .49 97 90.81 .42 88 86.11 .04 110 88.64 5.15
22 *98 90.37 .65 88 92.78 .06 85 85.84 .01 88 87.11 .01
23 107 91.53 2.61 101 91.07 .87 94 87.1 .53 81 86.84 .39
24 85 89.92 .27 77 93.35 2.26 101 88.0 1.89 93 88.46 .23
25 90 90.9 .01 89 92.61 .23 83 86.83 .17 71 88.1 3.32
26 84 91.62 .63 73 94.25 4.02 88 87.8: 0 89 90.53 .03
27 93 93.6 0 96 94.23 .03 81 88.4 .63 71 89. 3.64
28 - - - - - - 91 90.3 0 94 90.97 .1
Sum X2 38.66 Sum X2
Percentile 94.75 Percentile
Sig. Level .053 Sig. Level
19
Odds to 1
Odds to 1
98.5
.015
66
Sum X2 32.58
Percentile 78.9
Sig. Level .211
Odds to 1
Sum X2 50.04
Percentile 99.5
Sig. Level .005
Odds to 1 200
DOF = 26 DOF 26 DOF = 27 DCF = 27

LUNAR MANSIONS
Subject; CLEPGY Factor: LAHIPI N: 2,493 Date: August 1979
Range: From March 25, 1830 To pril 25, 1899
ARIES/27 TAURUS/27 ARIES/28 TAURUS/28
MANSIONL Obs Exp. X2 Obs Exp. X Obs Exp. Obs Exp. X2
1 76 927 3.01 86 93.69 .63 74 89.45 2.67 84 90.68
2 87 93.24 .42 105 95.76 .89 85 89.9 .27 100 92.49 - .61
3 90 94.05 .17 65 92.61 8.23 89 90.98 .04 67 89.78 5.78
4 98 94.95 .1 72 93.33 4.88 88 90.88 .1 68 90.14 5.44
5 84 94.23 1.11 88 94.68 .47 90 91.61 .03 76 90.59 2.35
6 67 92.88 7.21 103 95.76 .55 60 89 9.45 103 93.03 1.07
7 81 94.05 1.81 104 95.31 .79 68 89.81 5.3 93 91.68 .02
8 103 95.85 .53 114 95.94 3.4 96 92.15 .16 115 93.39 5.
9 95 94.68 0 99 93.96 .27 107 92.87 2.15 104 91.86 1.61
10 120 96.66 5.64 86 92.43 .45 98 91.7 .43 81 89.15 .75
11 108 94.95 1.79 100 92.7 .57 104 91.61 1.68 97 90.05 .54
12 82 91.89 1.07 118 93.87 6.2 96 90.71 .31 104 90.05 2.16
13 100 93.06 .52 85 90.28 .31 89 89.63 0 93 82.12 1.44
14 112 93.33 3.73 88 89.92 .04 104 89.99 2.18 75 86.27 1.47
15 90 90.9 .01 96 90.19 .37 100 89.09 1.34 101 88.16 1.87
16 80 89.47 1. 92 89.65 .06 80 86.57 .5 91 87.17 .17
17 100 90.63 .97 92 8.47 .07 91 87.2 .17 78 85.55 .67
18 97 90.28 .5 88 89.11 .01 94 87.38 .5 93 86.9 .43
19 83 88.57 .35 88 89.29 .02 82 85.67 .16 83 85.91 .1
20 102 90.28 1.52 98 90.19 .68 92 86.57 .34 89 86.72 .06
21 76 88.21 1.69 104 91.35 1.75 84 85.76 .04 101 87.98 1.93
22 .104 90.72 1.94 85 90.1 .29 86 86.12 0 9’ 87.89 .42
23 110 91.89 3.57 96 91.62 .21 95 87.2 .7 5 87.35 .06
24 83 9.65 .49 83 91.8 .84 99 87.74 1.44 93 88.88 .19
25 90.55 .34 87 93.24 .42 85 87.02 .05 73 88.25 2.64
26 92 91.98 0 79 92.97 2.1 87 87.74 .01 87 90.5 .14
27 88 93.33 .3 92 93.78 .03 84 88.46 .22 73 89.51 3.05
28 - - - - - - 86 90.08 .18 92 90.95 .01
Sum X2 43.73 Sum X2 37.96 Sum X2 33.41 Sum X2 44.46
Percentile 98.4 Percentile 93.9 Percentile 81.6 Percentile 98.1
Sig. Level .016 Sig. Level .061 Sig. Level .184 Sig. Level .019
Odds to 1 62 Odds to 1 16 Odds to 1 5 Odds to 1 52
tXJF = 26 DOF = 26 D0F = 27 DOF = 27

LUNAR MANSIONS
Subject; CLERGY Factor: TROPICAL N: 2,493 Date:
August 1979
Range: From March 25, 1830 To
April 25, 1899
ARIES/27 TAURUS/27 ARIES/28 TAURUS/28
MANSION Obs Exp. X2 Obs X2 Obs X Obs Exp. X2
1
2
76
88
91 .44
93.42
2.6
.31
73
97
92.16
94.32
3.98
.07
74
84
88.2
90
2.98
.4
67
93
88.48
90.99
5.21
.04
3 74 92.34 3.64 84 93.78 1.02 77 89.64 1.78 88 91.08 .1
4 98 94.5 .12 102 95.49 .44 89 90.45 .02 100 92.16 .07
5 88 94.05 .38 62 92.43 10.02 82 90.36 .77 58 88.64 10.71
6 108 96.02 1.49 76 93.51 3.27 101 92.34 .81 67 89.65 5.72
7 62 92.16 9.87 94 95.13 .02 69 89.64 4.75 87 91.53 .22
8 69 93.06 6.22 107 96.11 1.23 71 90.09 4.04 105 92.88 1.58
9 88 94.59 .45 101 95.04 .37 76 90.45 2.3 96 91.62 .21
10 108 96.2 1.44 108 95.13 1.74 100 92.52 .6 112 92.79 3.98
11 102 95.22 .48 102 94.14 .65 90 91.35 .02 99 90.9 .72
12 112 95.67 2.78 96 92.88 .1 117 93.15 6.1 80 88.57 .88
13 101 94.14 .49 105 93.06 1.53 101 91.35 1.01 94 89.38 .24
14 88 92.34 .2 97 91.71 .3 86 89.55 .14 113 90.55 5.51
15 105 93.24 1.48 77 89.16 1.66 92 89.28 .08 82 87.13 .3
16 104 92.43 1.44 .107 91.62 2.58 106 90.09 2.8 85 86.86 .84
17 86 90.36 .21 94 89.91 .18 94 88.29 .36 93 87.13 .4
18 95 90.45 .22 80 88.47 .81 75 86.13 1.44 95 87.04 .73
19 97 90.27 .5 98 90 .71 101 87.93 1.94 81 85.69 .26
20 85 89.01 .18 84 88.74 .25 92 86.94 .29 94 86.68 .62
21 92 89.46 .07 93 89.73 .11 76 85.15 .98 73 84.88 1.66
22 89 89.19 0 111 91.62 4.09 96 86.85 .96 93 86.66 .43
23 90 89.37 0 91 90.18 0 81 85.63 .25 111 88.75 5.58
24 105 91.08 2.12 86 90.54 .23 92 86.67 .32 84 86.86 .09
25 95 90.54 .21 101 92.16 .84 96 - 87.21 .88 86 87.49 .03
26 86 90.09 .18 72 91.44 4.13 93 87.57 .33 94 88.75 .31
27 102 92.25 1.02 95 94.41 0 86 87.21 .01 76 88.84 1.85
28 - - - - -
- 96 88.74 .59 87 90.63 .15
Sum X2 42.01
Percentile 97.55
Sig. Level .024
Odds to 1 40
Sum X2
Percentile
Sig. Level
Odds to 1
44.42
98.64
.013
73
Sum X2 39.96
Percentile_94.83
Sig. Level .052
Odds tol 19
Sum X2 53.02
Percentile 99.8
Sig. Level .002
Odds to 1 499
D0F = 26 DOF = 26 DOF - 27 DOF = 27