samedi 31 décembre 2022

 Diana, Princess of Wales (2)

1 July 1961 at 19:45 (= 7:45 PM )
Place Sandringham, England, 52n50, 0e30
Timezone BST h1e (is daylight saving time)

ref : https://www.astro.com/astro-databank/Diana,_Princess_of_Wales

For my purposes, the determining elements consist of:
- conjonction JU - SA
- MC-SPICA (mundane conjunction) (a VIR)
- square MC - SA
- conj ☊ MA (and conj infortune)

The relation with SPICA is notable because :

"However, if Spica is placed in angular houses and conjoined with Saturn, Mars, Uranus, Neptune or Pluto, and if these planets are afflicted, a rise followed by a downfall with tragic ending could be the result." [Fixed Stars and Their Interpretation, Elsbeth Ebertin, 1928, p.57]

HYLEG = FM (we can't consider SU because it is weak and peregrine)
ALCHOCODEN = MA

Other elements can only be analysed on the mundane theme. In particular with regard to the distribution of radix aspects.

MUND






RAY ORB ±5 SU MO ME VE MA JU SA
SU






MO






ME






VE 60 90




MA
180
90


JU






SA




0




MUND SU MO ME VE MA JU SA rgo
MA 31,61 175,15 44,25 94,80 0,00 179,71 160,77


175,15
94,80 0,00 179,71


0 180 0 90 0 180 0

0,00 -8,33 0,00 8,00 0,00 -12,00 0,00 -12,33










0 180 0 90 0 180 0

0,50 -1,00 0,50 -1,00 -1,00 -1,00 0,08










P T P cb T T T te


Above can be seen the breakdown pattern of point withdrawals, resulting in -12.33 Y. The remaining total is 37.67 Y.

We observe an opposition MA - MO and a double square MA - VE - MO.

Now, here is the theme of parallel which allows to have more lighting on what represents a mundane direction, by the addition of an almicantarat. Take e.g. the mundane direction opp MO conjunction SU and the radix positions :

It is a composite figure which shows:
- the declination parallels of the promissor(opp MO) and the significator (SU);
- the zodiac with its actual inclination (i.e. nonagesimal ; here i = 35.06°) in the sky and the MC;
- alpha VIR in the meridian;
- the great circles which are reduced by simplification to lines (equator, horizon, longitude circle, etc.)
- a dotted horizontal line which passes through SU: it is an almucantar. One can pitch the height h of that line (here SU h = 12.02°).

The actual mundane primary direction : opp MO will at some point stay itself in the SU almucantar-like position.

To find the direction arc, we need:
- the time arc between birth and the time corresponding to the age of the event, here 1997, i.e. for an equatorial dynamical step of 1.049: 2h 29min
- the altitude difference between promissor and significator, dh = 19.53°
- the horary arc difference between the two points dH = 46.69°
- the DA (ascensional difference) of promissor (opp MO) = 17.6°

Here, we see the result of primum mobile (apparent movement of the sky) of 2h29 with time being now : 22h 0m

At that time, h SU = h opp MO = 12.03° ; so opp MO is at the same altitude at almucantar (i.e. SU) :


The tip of the arrow indicates the point of intersection between the parallel and the almucantar: this is the apparent locus radix of the SU. It appears at this place at TU 18h45. Then, at civil time 22h, the altitude of SU is -4.4° and altitude of MO is 12.04° (the same as the radix SU).
So we have that is called a MUNDANE direction between opp MO (promissor) and SU (significator) as it appeared on the natal chart.

When opp MO is at the same h that SU, we have :

- dh = 0.02
- arc D = 35.4 (taking care of the key convert, here : equatorial 1.049)

This is the mundane chart for 22h :

Observe that SU projects into the principal axis MA- ☍MO - □VE

PRIMARY DIRECTIONS

DIRECTION : ꝏMO conj SU
---------------------------------
We must take into account an important element: the ascensional difference (DA); it can be observed on the  graph in a dotted line (measured between the horizon and the axis of the pole). This is the difference between Right Ascension (AR) and Oblique Ascension (OA).This is the difference between Right Ascension (AR) and Oblique Ascension (OA). DA is always calculated in absolute value |DA| and it is added or subtracted from 90° (SA = 90° corresponds to a point on the equator cut by the horizon; depending on whether a star approaches or moves away from the line of horizon, SA is > 90° or < 90°, i,e, (+) depending on whether it is diurnal and northern ; or nocturnal and southern ; (-) depending on whether it is diurnal and southern ; or nocturnal and northern.
sin(DA) = -tan(φ)tan(δ)
φ = latitude 52,84 N
δ SU = 23,09 +
DA-SU = 34,22°

δ ꝏMO =12,91 +
DA-ꝏMO =17,6°

We will first use the Placidus system of mundane directions. The simplest system is that of Choisnard-Fomalhaut. First you need to retrieve the data from the SA (semi-arc) and the DM (meridian distance) of the diurnal point because the altitude of SU is 12,02°. important note: the SA and DM of the two points are always counted diurnal if the first point (here SU) is above the horizon even if the second is below. They are counted nightly if the first point (SU) is below the horizon regardless of the position of the second point.
For DMs, they are counted in AR from the diurnal meridian if the fixed pointSU is diurnal, and from the nocturnal meridian if it is nocturnal.

diurnal meridian MC = 201,33°
AR SU = 100,52°
AR ꝏMO = 147,22°

SA D (d+) SU=124,22°
DM D  SU=100,81°

For the  significator  ꝏMO altitude (h) =31,55°. so :

SA D (δ+) ꝏMO=107,6°
DM D ꝏMO=54,1°

Then we compute Saf/DMf (so : SA f [124,22°] / DM f [100,81°])

Sa f / DM f =1,23

and the angle x = SAm x DM f/SA f, so : SA m [107,6°] x DM f [100,81°]/SA f [124,22°]

 x = 87,32°

We find the direction by DMm - x, so : DM m [54,1°] ± x [87,32]
We must now have regard to the double ± sign of the last expression; in the case where f (SU) and m (ꝏMO) are on either side of the meridian, the direction arc is obtained by taking the sum (instead of the difference) of the two quantities DMm and x. This is not the case here, so sign = +
the computation of the arc requires, depending on the case, a reduction of 360° (so arc modulo 360°)
---------------------------------
arc D =-33,22°
---------------------------------
in the technical sense, It is a direct direction but in the astrological sense, it is a true converse direction since it is an aspect considered as a promissor which goes towards the significator. ; so the m point is an aspect (here ꝏMO) and the f point is a planet or an axis, (here SU)

We can now compute the converse direction : point f is directed towards point m, i.e. the star is directed towards the aspect. This is where the problem of the orientation of the primum mobile arises because it is not concevable to rotate the local sphere in both directions… It does not seem convenient to postulate that the arc of direction is counted in the order of the signs of the zodiac (when it is direct, i.e. when one directs a promissor towards a significator): indeed, the ecliptic has nothing to do with a direction since this one depends only on the diurnal movement ( primum mobile). It is therefore otherwise that we must pass judgment on this.

That time, we compute Sa m / DM m (so : SA m [107,6°] / DM f [54,1°])

Sa m / DM m =1,99

and the angle x = SA f x DM m/SA m, so : SA f [124,22°] x DM m [54,1°] / SA m [107,6°]

x = 62,46°

We find the direction by DM f - x, so : DM f [100,81°] ± x [62,46°]
We must now have regard to the double ± sign of the last expression; in the case where m (ꝏMO) and f (SU) are on either side of the meridian, the direction arc is obtained by taking the sum (instead of the difference) of the two quantities DM f and x. This is not the case here, so sign = +
---------------------------------
arc C =38,35°
---------------------------------
Now we can study the same direction with the Regiomontanus system. To obtain the arc of direction between two signifying points (planets in body, aspect versus planet, planet versus axis) one must find AO (oblique ascent) of f and of m, calculated under the pole of f.
The formulas to use can be found either in the Dictionnaire astrologique of Henri Joseph Gouchon (Dervy Livres, 1937) pp. 266-267, or in his Horoscope annuel simplifié (Dervy, 1973) p.181. Other formulas can be found in Les moyens de pronostic en astrologie, Max Duval (editions traditionnelles, 1986) and Domification et transits (Editions traditionnelles, 1985). We can also cite by André Boudineau : Les bases scientifiques de l’astrologie (Charcornac, 1937) These are references in French but there are many other references in English or German of a less obvious but equally valid use.

First, compute the ascensional difference under f (SU) : cot DAP f = (cot de f x cot lat) / in DM f ± cot DM f, i,e, :  cot (DAP f) = (Cot dec f[23,09°] x Cot Lat [52,84°]) /sin DM f [100,81°] ± cot DM f  [100,81°]

DAPf = 31,7°

We find the pole of f (SU) by formula : tan(pole f) = sin (DAP f) x cot (dec f) i,e, tan(pole f) = tan f [31,7°] x cot f [23,09°]

pole SU regio  =50,95°

(1) We need now the DAP of m (ꝏMO) under the pole of f, sin (DAP m) = tan (pole f) x tan (DEC m), i,e, : (SU) : sin (DAPm/f) = tan [50,95°] x tan [12,91°]

DAP m/f = 16,41°

then we find for the points located in the eastern part of the chart : AO f = AR f± DAP f ; sign + if Dec f boreal or sign – if Dec f Austral ; so : AO f SU = 132,22° and AO m = AR m ± DAP m ; idem for sign ; so  AO mꝏMO = 163,63°

---------------------------------
arc D Regio = 31,42°
---------------------------------
We are now going to compute the converse regiomontanus direction corresponding to the arc  f SU / p ꝏMO

First, compute the ascensional difference under m (ꝏMO) : cot DAPm = (cot dec m x cot lat)/sin DM m ± cot DM m, i,e, :  Cot(DAP m) = (Cot decm[12,91°] x Cot Lat [52,84°]) / Sin DM f [-54,1°] ± Cot DM m [-54,1°]

DAP m = 168,25°

We find the pole of m (ꝏMO) by formula : Tan(pole m) = Sin (DAP m) x Cot (dec m) i,e, Tan(pole m) = Sin m [168,25°] x Cot m [12,91°]

pole ꝏMO regio  =41,63°

We need now the DAP of f (SU) under the pole of m, Sin (DAP f) = Tan (pole m) x Tan (DEC f), i,e, : (ꝏMO) : Sin (DAP f/m) = Tan[41,63°] x Tan [23,09°]

DAP f/m = 22,26°

then we find for the points located in the eastern part of the chart : AO m = AR m ± DAP m ; sign + if Dec m boreal or sign – if Dec m Austral ; so : AO m ꝏMO = 159° and AO f = AR f ± DAP f ; idem for sign ; so  AO f SU = 122,78°

---------------------------------
arc C Regio = -36,2°
---------------------------------
H.J. Gouchon [l’Horoscope Annuel simplifié, Dervy, 1973, p, 181-182 and Dictionnaire astrologique, p, 277, 1937-1942, Gouchon ed., 1975, Dervy, but be careful because in DAP's equation, the double sign ± was mistakenly replaced by the sign (-) ] advises to avoid errors, to always place the star A1 (for us f, i.e. SU) in the eastern houses; in fact it is enough to change the registration number of the house based on the transformation (IV-V-VI) -> (X-XI-XII) and (VII-VIII-IX) -> (I-II-III ) to adapt the double sign ± in the calculation of DAP f or DAP m; moreover, this sign must be reversed if |DM| > 90°.

For the Regiomontanus directions, there is another mode of computing, mentioned by Gouchon (Dictionnaire astrologique, op. cit., p. 276) and especially Martin Gansten (Primary directions, pp. 155-157, the Wessex Astrologer, 2009)
This method consists at computing first 3 auxiliary angles before  the pole. It then joins the other method. Contrary to what Gouchon says, I find it easier than the previous one because we avoid the double sign ± in the determination of DAP f.

So, initially, we have A => Tan f = tan dec f [23,09°] / cos DM f [-100,81°]

A = 113,75°

Then : B = Lat [52,84°] + A [113,75°]

B = -60,91°

And, Tang C = Cot DM f [-100,81°] x Cos B [-60,91°] / Cos A [113,75°]

C = 167,02°

Then, we have Sin pole f = Cos C [167,02°] x  Sin LG [52,84°]

So, pole SU regio = -50,95°

Now go back to (1)

For m ꝏMO; we have : A => Tan m = tan dec m [12,91°] / cos DM m [-54,1°]

A = 21,35°

Then : B = Lat [52,84°] + A [21,35°]

B = 31,49°

And, Tang C = Cot DM m [-54,1°] x Cos B [31,49°] / Cos A [21,35°]

C = -33,53°

Then, we have Sin pole m = Cos C [-33,53°] x  Sin LG [52,84°]

So, pole ꝏMO regio = 41,63°

Now go back to (1)

Here we have a direction of SA at the conjunction of the ASC. This direction is classically obtained by the difference between OA SA and OA ASC, or strictly equivalent SA m and MD m (take care that if Dec m is + SA must be diurnal ; if Dec m is -, SA must be diurnal ; same for DM f, i.e. ASC).

DIRECTION : CSA conj ASC
---------------------------------
For a direction between ASC and any planet or aspect (zodiacal or mundane), here C SA we must compute SA m and MD m

arc CSA conj ASC = SA 123,93 - MD 236,07°
---------------------------------
arc D mund =-38,54°
---------------------------------
deviation from time of birth: =9,5 min
correction for conversion key, actually EQU / 1,05 = -37,49°

We have another direction to add: square MA conj MC :

DIRECTION : □MA conj MC
---------------------------------
For a direction between MC and any planet or aspect, we must take the AR positions of f and m and substract them :
---------------------------------
arc D = 38,22
---------------------------------
deviation from time of birth: = 8,31 min
correction for conversion key, actually EQU / 1,05 = 37,17°

Conclusion

So, we see that 2h 29 after the birth (19h45), it is 22h14. At this time, there is a coincidence between the dramatic event that led to the death and three directions:
- MO aspect to the group MA - MO - VE
- SA is rising
- square MA transit (conj MC and conj SPICA).