ANDOYER Pierre Marie - lot of fortune - luni-solar phase (6)

 ANDOYER Pierre Marie

01 Oct 1862 GREG CAL
tuesday GREG
radix theme | lat 48° 52' 0" | N 2°20' E E
- LMT -
---------------------------------
natal (bt) -0,208
raas-rams :0h 10' 8"
reckoned bt Lat --> lmt 0 h 1 min
tu 0h 10' 20"
tsn 0h 38' 52"
---------------------------------
timezone  : 0 
DST : 0 (-)
Equation of time 0h 9' 20"
ΔT 0h 0' 8"

Marie Henri Andoyer (Paris 4th arrondissement, 1 October 1862 – Paris 14th arrondissement, 12 June 1929[1]) was a French astronomer and mathematician. His death followed a short illness (likely pneumonia). 

A conjunction is observed between the Lot of Fortune (POF) and VE. I take this opportunity to revisit the recommended calculation method for the POF, which draws upon data from Placidus, Fumagalli [http://www.cieloeterra.it/], and the historical findings of Chris Brennan [*Hellenistic Astrology: The Study of Fate and Fortune*, 2017, Amor Fati Publications, "The Lot of Fortune," pp. 519 ff.]. We shall begin with this first point: the calculation of the POF. Our technique involves taking the domitude of the Sun and Moon; if the sum of the luminaries' quadrants equals VII or III, we retain the operation MO - SU ± 180 (ASC = 0). If the sum of the quadrants is other than VII or III, we calculate: SU - MO ± 180. 

 

'Regarding the formulas for the Lots of Fortune and Daemon, we know that Ptolemy is the exception in not taking the chart's sect into account. The standard formulas are: for the Lot of Fortune, take the arc from the Sun to the Moon in a diurnal chart, and the arc from the Moon to the Sun in a nocturnal one, and project this arc from the Ascendant to locate the Lot.' [Greenbaum, calculating the lots of Fortune and Daemon in hellenistic astrology, Culture And Cosmos, Vol. 11 no. 2, Autumn/Winter 2007, pp. 163-187, p. 171 sq.]

In the case of Andoyer, we find (with Regiomontanus) :

 

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

dom asc	360,00
dom su	87,37
dom mo	158,70	quadrant
dom pof	71,33	4
long regio	171,59	orient
Long / dom	95,48	house
		3

 

moon sector	N	III
sun sector	N	IV
		VII

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

 So, long POF = 171.59 ♍ in house III.

We see that the Placidus POF is 199.28° ♎in IV house. If we take into account the classic sectors D and N, we find dom POF = 108.67 and long POF = 215.72 ♏ in house IV. 

Primary direction : 

1)- REGIOMONTANUS

point	quadrant	DEC	TABLE of AO and DO	AO	DO	DO	AO	0
				1	2	3	4	-1
		5,35	A1 VE				+
VE	4	+	AO ±				-
		22,88	A2 □MA	+
□MA	1	+	AO ±	-				± DAP | □
VE	1		AO VE				169,01	[+]
□MA	-1		AO MA / pole VE	138,36				[+]
			AO MA	99,62				[+]
			AO VE / pole MA				165,02	[+]

TABLE I

DP REGIOMONTANUS (5)			4	quadrant	1
		h	-33,42		0,05
DIRECTIO RECTA	◻♂☌♀	dec	5,35		22,88
			DP REGIO-CAMPA D		DP REGIO-CAMPA C
	A2 □MA	A1 VE	A1 VE	A2 □MA	A2 □MA	A1 VE
Tan A	tan dec/cos dm		5,64		138,79
B (1)	+LG-A or -LG+A	48,87	54,51		-89,92
Tan C	cot DM.cos B/cos A		-60,11		179,94
Sin pole (2)	Cos C.sin LG		22,05		48,87
Sin DA (3)	Tan pole A1.Tan Dec A2 Tan pole A2. Tan Dec A1	DAP (6)	2,17	9,84	28,90	6,16
AO (4)	AR ± DA		169,01	118,68	99,62	165,02
Arc (7)	AO1 – AO2			50,33		65,40
				DIRECT		CONVERS

TABLE II

1    (1) B must be treated as positive number (< LG)     
2    (2) sign of pole has the same sens of LG for DA Here, DA = DA/pole A    
3    (3) sign [-] if pole and Dec have the opposite sign ; sign [+] if planet located in western half, sign [-] if planet located in eastern half ;  Signs [+] and [-] must be reversed for births in the southern hemisphere    
4    (4) to find AO of a star A2 under the pole of A1, we calculate the  DA of A2 under the pole A1 ex: tan pôleA1.tan DecA2=sin DA A2/poleA1    
5    (5) algorithm and lessons from : a)- Gouchon (‘Dictionnaire astrologique’, Dervy, 1946, 1975, p, 276, attributed to H. Selva) ; b)- Martin Gansten (‘Primary directions’, pp, 155-157, 2009, Wessex Astrologer) - instructions for use only appear in Gansten – c)- Astrologia gallica, Morin de Villefranche, trad Holden (appendix 5, pp, 151-153) ; d)- Henry Coley, Clavis astrologiae elimata, 1676, pp. 609-648 ; e)- Henri Selva, La domification, Vigot, 1917, reprint Lacour 1992, p, 25 and 131    6    (6) ascensional difference under own pole    https://mediocielo.org/risorse/prometheus-video-guide/37-testi-e-file/54-tavole-del-primo-mobile.html
7    (7) if the 0° point of the equator (viz 0° trop ARI) should fall between one of the two points, 360° must be added to arc    

We find : ◻♂☌♀convers 65.4 Y
And the important thing to note is the conjunction between š⦻ and ♀. 

2)- PLACIDUS

DP PLACIDUS	Plac direct	Plac conv
sa1/dm1	1,00	4,52
sa2	96,16	61,10
x	96,08	13,51
dm²	161,46	61,20
sign	-1	-1
orient SA and DM	D
arc	65,38	47,69

FOMALHAUT-CHOISNARD
X = sa2.dm1/sa1 = and the angle x = SAm x DM f/SA f, so : SA m [ 96,16°] x DM f [ 118,8°]/SA f [118,9°]
sign : if the two points are on either side of the meridian, take +1 ; otherwise -1
Arc = dm2 ± sign.x We find the direction by DMm - x, so : DM m [ 118,8°] ± x [96,08]
important note: the SA and DM of the two points are always counted as daytime if the first point A1 (promissor) is above the horizon, even if the second is below. They are all counted as nighttime if the first point A1 (promissor) is below the horizon, regardless of the position of the second point A2 (significator). In present case SA et DA are all quoted D (see Choisnard, 'Langage Astral, p, 152, Ed, Trad,, 1963)

Hyleg - Alchocoden

KADKHUDAH SCORE		dignity	power	retrograde
1	MA	8	Ru	r
2	JU	3	T cb
3	ME	2	T te
4	SU	1	F
5	SA	0	P
6	VE	-6	F
7	MO	-7	D

In the case of Andoyer, Marie we have the table above which allows us to estimate the breakdown of aspects between the different planets and the alchocoden.
When considering a theme, the first thing is to observe whether it is diurnal or nocturnal. In the case of Andoyer, Marie, it is NOCTURNAL.
In this case, the first point to check is SU. If  SU is well disposed, it can claim 1st stage to be HYLEG.

SU is F and therefore seems weak, with a dignity score of [1],
But, when we look for the dignities that appear in the zodiacal inscription of ASC, we find none.
we find at least one aspect to match with the dignities
We'll see later what we get when we search for mundane dignities.
Now that we know that we cannot consider SU as hyleg, we are left with MO but we don't find any aspect to match with the dignities,,,

Now that we doubt to take MO as hyleg, we are left with the choice of ASC and that of POF. It is the way in which is laid out MO which will indicate the choice to us. If MO is waxing, we take ASC for hyleg ; if MO is waning, we take POF for hyleg,
It turns out that MO is waxing (conjunctional); so we will take ASC,

Now we must look for the alchocoden: it is the planet which has the maximum dignity with regard to the hyleg and which exchanges a Ptolemaic aspect with the hyleg.
if we consider the MUNDANE system, we observe a conjunction aspect of JU.
At the same time, it appears that JU has  dignity of TERM over ASC.

So : hyleg is ASC and alchocoden is ♃. But, we see that ♃  is cb and ♀  is F.

Kadh	JU	in mundo	tropical zodiac
	☍	III	term	T cb [ power3]
	ASPECT	HOUSE	DIGNITY	SYNTHESIS
	Stage 1	Stage 2	Stage 3	Stage 4
hylj	AS	AS	AS	AS
	š⦻	↕

The only other point which has a week effect is POF but but it does not progress beyond the second test.

Soli-Lunar phase
The method of “embolismic lunations” as a predictive technique :   See : Tabulae Primi Mobilis,,, Placido De Titis, Patavii, MDCLVII 
An embolismic lunation, correctly termed an embolismic month, is an intercalary month, inserted in some calendars, such as the Jewish, when the 11-days' annual excess over twelve lunar months adds up to 30. An arbitrary application of this was used by Placidus, who applied the term Embolismic Lunation, to a Figure cast for the moment of the Moon's return to the same relation to the Sun that it occupied at birth. It was made the basis for judgment concerning the affairs and conditions of the ensuing year of life.' [https://astrologysoftware.com/community/learn/dictionary/lunation.html]   
The solar year does not have a whole number of lunar months (it is about 365/29.5 = 12.37 lunations), so a lunisolar calendar must have a variable number of months in a year. Regular years have 12 months, but embolismic years insert a 13th "intercalary" or "leap" month or "embolismic" month every second or third year [...]. Whether to insert an intercalary month in a given year may be determined using regular cycles such as the 19-year Metonic cycle [...] or using calculations of lunar phases [...]. [wikipedia]   
The whole difficulty therefore comes from the fact that there is no overlap between the solar month (30 D) and the lunar month (synodic month 29.53), consequently between the solar year (365.242) and the lunar year (354.367). 
 'In Vedic timekeeping, a tithi is a "duration of two faces of moon that is observed from earth", known as milа̄lyа̄ [...] in Nepal Bhasa, or the time it takes for the longitudinal angle between the Moon and the Sun to increase by 12°. In other words, a tithi is a time duration between the consecutive epochs that correspond to when the longitudinal angle between the Sun and the Moon is an integer multiple of 12°. Tithis begin at varying times of day and vary in duration approximately from 19 to 26 hours. Every day of a lunar month is called tithi.' [wikipedia]  
We see that the interest of Placidus' method (outlined by Vettius Valens) comes from the fact that the individualisation structure of the progression system is no longer represented by a single point (solar return or lunar return) but by a distance ( in this case the distance between SU radix and MO radix).
We find in the literature another method which is similar to that of the solilunar phase: it is the tertiary directions. We find a critique of it in “Les Moyens de pronostic en Astrologie” by Max DUVAL [ed Traditionnelles, 1986, pp. 67-71] and a complete analysis in "A close look at tertiary progressions" by Elva Howson & Jack Nichols, [Considerations, vol XI-4, 1996; pp 3-12]- https://archive.org/details/considerations-21-1/considerations-11-4/page/n1/mode/2up. But here, I want to try to demonstrate the particular method advocated by Placidus. So:
In the case of Andoyer, Marie, we observe:

SU radix = 187° 32' 44" (187,55° LIB)

MO radix = 281° 43' 52"° (281,73° CAP)

∆ = |94° 11' 8"| (94,19° ) [ 7 tithi = ROUNDUP (∆/12)]

Here is now the way in which Placidus would have proceeded: for 60 full years, 55 embolismic lunations are accomplished in 5 years after birth but with 55 days less, that is to say 11*5 since the moon covers 12 lunations in 11 days less than a whole year, as indicated in canon XL
... if you wish to have a ready calculation of the progressions for several years, note that the moon does not complete twelve lunations in one whole year -i.e. a solar year - but in eleven days less. Having therefore the distance from the moon to the sun in the sky of birth, search for this eleventh day before the end of the first year of life and having found it, then know that the progression of twelve years of life is completed. Likewise 22 days before the end of the second year after birth gives the progressions accomplished for 24 years and so on' [De Progressionibus, op. cit., p. 54]
Therefore on 30 OCT 1867, by removing 55 days, we arrive at 6 August 1867 [,,,] and then, the process is completed for 55 full years. Then, for the 6 other years elapsed during the twelve embolismic lunations, I arrive at 28 January 1868, for the remaining 5 months and 20,58 days (i,e, 23 days and 5,4 hours). I compute the tithi (exact distance between SU and MO radix) for the last time : the date of Embolismic Progression J0 is : 2 February 1868 at 2h 21min tu. Thereafter, i add to this date 20,58 d corresponding to 8,362M [see EVEN] :

JD Pr Emb = 8,36 x 30 / (365.24 /29.53) = 20,58 D

where 365.24 is the number of tropical days in a year and 29.53 is the average period for the synodic month of MO

 trop days 365,242198113704 (1)

syn month = 29,5305885556605 (2)

where T = (JD-2451545)/36525

In the present case JD = 2401413,5

so, T = -1,37252566735113 (see formula 1 and 2)

Finally, we find : date for J20,58D = 22 February 1868 at 16h 13min   local (16h 13min  TU). (see fig)

The mundane-coordinate Soli-Lunar Return for J0 restores the natal ♃☍♂ configuration.