PARTS OF  GILLEN

Someone recently informed me that Gillen also uses the Arabic parts to produce numbers. This intuitively makes sense to me. Only something that moves very fast and that depends upon locality would account for the variety of numbers that might come out of---- conducted in the various cities of Italy on the same day at the same time. Under Gillen's scheme, each number has its own part and to determine them he uses "modern" planets, too, not just the classical seven.

The first time I read anything of the part of "anything" is from ACSM book. The only other author that has written something is Jack Gillen. Although the actual mechanics on how to apply it has been left out.

According to Jack Gillen, all commodities, actually anything, has an Arabic part that indicates it's trend. The only formula he ever gave was the part of Coffee although other parts was mentioned without disclosing their formula.

The exact formula is left to the reader to discover through research. What I've shown is how to find the part of DOW which can be also be used for other commodities or stocks. The most important criteria is follow-on test with other astro-events.

Testing with Saturn initially was easy as there only a handful of them to test before testing the other more frequent events. The natal chart also has a sensitive arabic part. Although we are only interested in the ups and downs of an instrument, there are other parts which describe the trend of other facet of life.

So based on repeated tests the part of DOW from the rotation chart is "asc+venus-sun".

> Based on using all available data from 1896, the Arabic parts for
DOW
> appears to involve the Sun and Venus using both the front and back
> formulas at the time of Jupiter/Saturn conjunction.
>
> The formula looks like this
>
> 1. asc+Venus-Sun
> 2. asc+Sun-Venus

> One of the body in the formula could be the ruler of some sort.

The conjunction of two slow moving planets especially when both are retrograde causes a unique problem in pinning down the exact time of the conjunction. Depending on where you look one could be out by several hours.  With the ascendant every 4 minutes out is a degree off. When Saturn is used, this could mean being out by potentially a week or more.

 

The basic  idea was suggested by Pallicus in an unpublished manuscript now in the
British Museum. They are points in the local sphere. The Parts can be
calculated in the daily motion only.


The Parts are normally launch from the Ascendent, but can also be launch from the MC or the Descendant.
The Parts are estimated along the equatorial circle and then through the passage degree formula their position is characterized on the
ecliptic.

Here a link where you will find a calculation example
(according to Placidus)

http://www.cieloeterra.it/eng/eng.articoli.sorti/eng.sorti.html

 

In the reprint of the Coelestis Philosophia of
1675, Francesco Brunacci e Francesco Onarati notice of the inadequacy
of the method of Placidus and of it they propose one new. They do not
speak to you express about hours but about equatorial distances.

ENGLISH TRANSLATION :

https://translate.google.ca/translate?sl=auto&tl=en&js=y&prev=_t&hl=en&ie=UTF-8&u=http%3A%2F%2Fwww.cieloeterra.it%2Farticoli.sorteoraria%2Fsorteoraria.html&edit-text=&act=url

 

 

Marco Fumagalli

The hourly fate, the true lunar horoscope.

(Phôs 2, June 2001)

Calculation of fate is one of the most complex and controversial arguments of all astrological theory. The method Placido Titi exemplifies in the Canon of the Part of Fortune, at the end of his treatise on Primum Mobile (1657), can certainly be termed a "cano" method, since it is based on equatorial arches and not on the simple ecliptic distances of the method "vulgar". His method, as he himself tells us, is what his friend Adriano Negusanzio has reported to him, "highly skilled in astrological discipline according to the true doctrine of Ptolemy." Negusanzio realized the inadequacy of the vulgar method based solely on the celestial coordinates of the Sun and Moon, without taking into account the local situation of the two astronauts. He then conceived a different system that best responded to the well-known Ptolemaic principle:

"The fortune fate, and day and night, must be calculated according to the quantity of the number from the Sun to the Moon, returning the equivalent distance from the horoscope according to the sequence of the signs, so that the ratio and its own configuration of the Sun with respect to the horoscope is also of the Moon with respect to the fate of fortune, on which almost appears a lunar horoscope »(3:11).

Let's briefly summarize the method of Negusanzio-Placido, which we have fully explained in the article " The calculation of the fate according to Placido Titi ". The principle is as follows: Where the Moon is located when the Sun is in the horoscope, that is the place of fate. To find the position of Negusanzio's fate calculates the distance between the Sun and the horoscope in oblique ascension and adds the straight ascension of the Moon. The result is the straight ascension of the fate that will always be on the parallel of the Moon declination.

ar ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = ao (Hor) - ao ( http://www.cieloeterra.it/articoli.sorteoraria/sole.gif ) + ar ( http://www.cieloeterra.it/articoli.sorteoraria/luna.gif )

If we apply this calculation at the time of the rising of the Sun, we will find that the right ascension of fate corresponds to that of the Moon. By placing the fate on the lunar parallel we will have a total correspondence between the Moon and the fate: it will dune from the Moon as many hours as the Sun is from the horoscope, or zero. So we can say that fate is the lunar horoscope. 

Limit of the Negusanzio-Placido method.

This method therefore responds perfectly to the Ptolemaic principle, but only at the rising of the Sun. In fact, as soon as the Sun starts to rise above the horizon for daytime motion, the Moon also moves and their hourly distance assumes different values. The placid fate, on the contrary, remains almost fixed in the place where it was at the rising of the Sun, moving only slightly, due to the motion of the Moon in right ascension. This means that, during daytime rotation, Placido's fate no longer maintains with the Moon the same time relationship that the Sun has with the horoscope and ceases to be the moon horoscope. Let's demonstrate what is said with an example.

a1) Sun at the Horoscope - (Figure 1).

Let's take this figure: 1.1.2000 hours 7:52:51 TU, pole + 55 °, long. East 10 °.Culmination 20 ° 56 'Scorpio, armc 228.50. 

The center of the Sun is rising (0 ° height); its longitude is the same as the horoscope, 10 ° 12 'Capricorn; its oblique ascension (ao) is the same as the horoscope, ao (Hor), 318.50. The Moon is at 11 ° 15 'in Scorpio, latitude +5.20, in ninth house, at a time of 0.64 hours from the Middle Ages; its straight ascension (ar) is 220.46, the declination is -10.26. We are now able to calculate the lunar fate with the Placido method:

ar ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = 318.50 - 318.50 + 220.46 = 220.46

Assigning the moon declination, -10 ° 26 ', we find that the fate is from the middle ages 0.64 hours, in ninth house, exactly like the Moon. The two luminaries are 6.64 hours apart, and the fate is from the horoscope 6.64 hours. Correspondence is perfect.

http://www.cieloeterra.it/articoli.sorteoraria/figura1.gif

Figure 1

a2) Sun away from the horoscope - (Figure 2).

Let us now move forward in time, for example, until the culmination of the Sun, at 11:23:15 TU. Culmination 10 ° 20 'Capricorn, arm 281.25. It rises 0 ° 27 'Bull, ao (Hor) 11.25. The Sun is culminating in the mediocre; its longitude is the same as the mediocre, 10 ° 20 'Capricorn; its ao is 318.64 (the equator level rising to the pole + 55 ° along with 10 ° 20 'Capricorn). The Moon is 13 ° 01 'in Scorpio, latitude +5.18, declination -10.80, in seventh house, at a time of 4.78 hours; its straight ascension (ar) is 222.15, declination -10.80, daytime hours 12.36. Since the Sun culminates its hourly distance is 0 and therefore the two luminaries distance between them 4.78 hours. The Sun is 6 hours from the horoscope and therefore we should expect the moon horoscope at 6 hours from the moon. Let's see if it is this way:

ar ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = 11.25 (+360) - 318.64 + 222.15 = 274.76

Since the declination and the temporal times are those of the Moon, we take the straight distance of the fate, arsenal = 6.49, divide it by daytime hours 12.36, and we get 0.53, hourly distance of the fate in ninth house.

http://www.cieloeterra.it/articoli.sorteoraria/figura2.gif

Figure 2

Placido's fate is only 4.25 hours from the Moon, well below the 6 hours we were waiting for. We can not say that we have found the lunar horoscope spoken of by Tolemeo! What happened? It happened that this fate, calculated on the basis of the steep ascents at the pole of the region, remained almost fixed (in fact, it moved slightly since the Moon moved a little in right ascension), while the distance in hours between the two luminaries have changed considerably. So if we look for the true moon horoscope, we will have to adopt a method that takes into account this shift: we will have to adopt a time method. 

The real lunar horoscope.

A few years after Placido's death, in the reprint of Coelestis Philosophia of 1675, Francesco Brunacci and Francesco Maria Onorati perceive the inadequacy of the placid method and propose a new one. This is the time method. Brunacci and Honorary do not speak of hours but of equatorial distances, which, as we know, are the same thing.The calculation maintains the same structure but is done entirely on the equator by working with the oblique ascension of the horoscope and the mixed ascents (am) of the luminaries, ie with the aoch in the ascending hemisphere and with the doch in the descending one. What we get is in turn the mixed ascension of fate:

am ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = ao (Hor) - am ( http://www.cieloeterra.it/articoli.sorteoraria/sole.gif ) + am ( http://www.cieloeterra.it/articoli.sorteoraria/luna.gif )

Let's apply this method to our example, 1.1.2000 hours 7:52:51 TU (see above):

http://www.cieloeterra.it/articoli.sorteoraria/figura3.gif

Figure 3

b1) Sun at the Horoscope - (Figure 3).

The mixed ascension of the Sun (in this case, it is an oblique ascension to its pole, aoch) is identical to the oblique ascension of the horoscope, or (Hor), 318.50, since the Sun rises and its pole is + 55 °, like the one in the region. The Moon pole is 9.37 and its mixed climb is 218.85. Since the Moon is descending (it has just past the meridian), it is an oblique discus (doch), at the 9.37 pole. We then:

am ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = 318.50 - 318.50 + 218.85 = 218.85

We immediately see that this value is identical to the moon doch. Taking the distance of this point from the meridian (armc - 218.85) we find a 9.65 arc which, divided by 15, corresponds to a 0.64 hour distance from the meridian, into ninth house.

Again the fate coincides perfectly with the Moon. Therefore, at the rising of the Sun, we obtain the same result as the Negusanzio-Placido method. Refer to Figure 3 with Figure 1.

http://www.cieloeterra.it/articoli.sorteoraria/figura4.gif

Figure 4

b2) Sun far from the horoscope - (Figure 4).

At the culmination of the Sun, the aoch of the Sun is 281.25, identical to the straight ascension as it is on the meridian where the pole is 0 °; the Moon pole is 49.47 and its mixed climb (am) is 209.55. Since the Moon is descending, this is an oblique discovery (doch) at pole 49.47.

am ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = 11.25 (+360) - 281.25 + 209.55 = 299.55

This value surpasses the armc and that means we are in the tenth home and not in the ninth. Then we take the distance of this equatorial degree from the meridian (299.55 - armc) and we find a 18.30 arc that divided by 15 gives 1.22, hourly distance of the fate in tenth house. The Moon is in the seventh, at 4.78 hours from the Middle Ages, and from the Sun.

Summing up the distance of tithing in the tenth, 1.22, we find that the Moon is exactly six hours from the fate, when the Sun is out of the horoscope. We found the real moon horoscope. Compare figure 4 with figure 2: Brunacci's "hourly" fate is 1.75 hours from Placido's.

Likewise, we can proceed with all the other fates, always taking the ascents of the ascending point, the disagreements of what comes down.


Degree of passage.

The "hourly" method of Brunacci and Honor involves a difference in how to find the degree of passing of fate, that degree that passes at the same hourly distance of fate and is taken as a reference for the attribution of planetary dignities. Let us first remember how the degree of passage of placid fate is found:

a) Placido's fate . The method of Placido must proceed by attributing the declination and ascending difference of the moon (dec, da) to the fate by applying the formula of the poles dividing the ascending difference according to the hourly distance of the fate (dh):

tan (P) = its (1/6 by dh) cotang (dec)

In our example (a2) we will get the following result, knowing the declination of fate, -10.80, its by, 15.82, and its dh, 0.53:

tan (P) = its (1/6 x 15.82 x 0.53) cotang (-10.80)

P = 7.29

Now we find the degree of passage ( theta ) with the poles of the poles (or with the usual formula we also use for the cusps of the houses) by first calculating the doch of fate (found in ninth house, therefore descending) that we still do not know: doch ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = armc - 15 dh = 273.3. Let's proceed now with the formula:

tan ( theta ) =

sin 273.3


cos 273.3 cos 23 ° 27 '+ sin 23 ° 27' tang 7.29

We find that theta is equal to 275.93 or at 5 ° 56 'degrees of Capricorn. This is the ecliptic degree that passes at the same hourly distance of Placido's fate (for this calculation see also the article " The calculation of the fates according to Placido Titi ").

b) Hourly variety . With the time method we can not attribute the declination of the moon to fate, indeed, we can not attribute to the fate any declination. The hourly fate is not a point of the sphere (with right ascension and declination), but rather a time zone , a distance measured according to the motion of the hours (see figure 5). It is in this very similar to the horizon and we could call it a horizon related to the moon, a lunar horoscope. Just as all the points on the horizon distance the same hours from the Sun, likewise all the points on the horizon of the Moon, that is, all the points of the fate, distance the same hours from the Moon. Then, in order to find the pole of fate, we could choose any point in this circle, for example, that lies on the equator or on the ecliptic, and operate according to its declination and its ascending difference.

But there is a more elegant and simpler method, which does not force an arbitrary choice. Once again the method is exposed by the Brunacci and the Ororate: it consists in calculating the pole of fate considering its position in the house, according to the distance proportional to the cusps. That is, if, for example, the circle of fate is in tenths and we know its hourly distance, knowing that a house has an hourly amplitude of 2 hours (or 30th equatorial), we can calculate the pole (P) of the fate with the following proportion:

P ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = P1 +

(P2 - P1) dp1


2

where P1 and P2 are the poles of the cusps of the house in which the fate is found: P1 is that of lower value, P2 is that of higher value; (P2-P1) is the polar amplitude of the house where fate is found; dp1 is for hourly distance from the cusp closest to the meridian. Let's apply this method to example (b2); since fate is in tenths P1 corresponds to the meridian pole, that is 0, and P2 is the pole of the eleventh, 26.98. The lot is 1.22 from P1.

P ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = 0 ° +

(26.98 - 0) x 1.22


2

P ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif ) = 16.46

Found the pole of the fate we look for the poles of the poles to which degree corresponds the oblique ascending 299.55 to pole 16.46. Or we use the formula:

tan ( theta ) =

son 299.55


cos 299.55 cos 23 ° 27 '- sin 23 ° 27' tang 16.46

We find that theta is equal to 291.05 or 21 ° 03 'Capricorn. 

Conclusion.

After showing how the two calculations lead to very different results, we can now reflect on the different nature of these two varieties. Both originate from distances calculated on the equatorial arches but Placido's fate has its own right ascension and its own declination (that of the Moon), so it is a precise point in the local sphere , while Brunacci is a time zone that keeps the moon the same distance that the horizon has with the Sun; therefore this fate is just like a moon horoscope, a moon horizon.Brunacci expresses this concept very clearly:

"Now, fortune-telling should not be described in the Moon's declination, but in the time zone in which the calculus falls, as it has to be like a lunar horoscope. In fact, we consider the Sun's horizon not at the point where it emerges, but in a circle whose track compares with the degree of the zodiac, as is the constellations that coincide. Likewise, in the circle of fortune, that degree of the zodiac that intersects the said timeframe of the fate for the rule of oblique ascensions must be placed in the theme to draw the governor of life out of the way Tolemeo teaches. "

The hourly fate of the Brunacci and the Ornate should therefore be adopted as a true moon horoscope and the method must be extended to all other varieties. The difference between the two methods is substantial and involves some very important consequences, primarily in the use of directions:

a) as we have seen, Placido's calculation maintains the time relationship at the moment of the rising of the Sun and at this time fixes the fate at a precise point of the sphere corresponding to the Moon's position; from this moment the fate remains fixed, as a constant reflection of the Moon at that point, moving only of the same lunar motion in right ascension; this means that fate is almost regarded as a star, with its own heavenly coordinates. It follows that it is possible to direct this fate in both directions, as a planet: in the sense of succession of zodiac signs, and in the sense of daytime motion.

b) the hourly fate is a circle, like the horizon. It does not have celestial coordinates, but only one hourly distance and a degree of passage. The latter corresponds to the point where the ecliptic intersects the circle, as well as the horoscope is the point where the ecliptic intersects the horizon. Consequently, the direction of the hourly sequence will be exactly the same as the direction of the horoscope, or only in the zodiacal direction, and not in the opposite direction: as well as the degrees of "zodiacal" directions ascend to the horoscope according to oblique ascents or descend all 'west according to disbelief, the same degrees will rise, or will descend, to the circle of fate according to ascents, or discontents, oblique of that circle. No other direction of the hour time is allowed.

http://www.cieloeterra.it/articoli.sorteoraria/figura5.gif

Figure 5

In this figure we see the sun in eleventh house (DH 3.19) and the moon at the culmination (DH 0). Placido's fate is on the parallel of the Moon's decline and falls into the eleventh home, between the Sun Hours (3.19) and the twelfth (4.00). It is a precise point of the sphere with its own coordinates. Brunacci's fate, however, is the 2.81 hourly circle and is like a high horizon to distant from the moon so many timeframes (2.81) as far as the horizon of the ball from the sun is. In fact AB = 2.81 hours = 42.15 degrees equinoxial; CE = 6 - 3.19 = 2.81 hours = 42.15 degrees equinox. This is the fate that corresponds to the lunar horoscope spoken by Tolemeo.


Appendix.

We find it useful to bring in an appendix an animated chart showing the movement of the different fate: Placido, Brunacci and the "vulgar" movement. The Sun performs a full rotation, at two-hour averages of average solar time, at the 55 ° pole. Notice how the distance between placid and hourly occasions increases with increasing distance between the sun and the horoscope.

1) fate of Placido ( http://www.cieloeterra.it/articoli.sorteoraria/tycheneg.gif )

  • It is based on the equatorial distance between the Moon (AR) and the equator level that rises with the Sun (AO), calculated on the lunar declination parallel.
  • It moves into the world only by virtue of the right ascension of the Moon to the Sun during the day.
  • Its position always indicates the place where the moon would be, if the luminaries' positions were fixed, we would turn the sphere forward or back to the sunrise. Thus it always indicates the moon phase, in its appearance at the rising of the Sun.

2) "Hours" of Brunacci ( http://www.cieloeterra.it/articoli.sorteoraria/tyche.gif )

  • It is based on the progressive distance between the Moon and the Sun, calculated in the world (hourly distance). It coincides exactly with Placido's fate only at the rising of the Sun.
  • It moves into the world only by virtue of the different time distances the two luminaries assume during spinning the sphere.
  • Its position always indicates the place where the lunar horoscope is located, that is the time zone that is from the Moon as much as the horoscope is from the Sun.

1) vulgar fate ( http://www.cieloeterra.it/articoli.sorteoraria/tychevolg.gif )

  • It is based on the longitudinal distance between the Moon and the Sun. It may coincide with the previous two events only when the Sun rises if the moon was in a node (latitude 0 °).
  • It moves into the world by virtue of two factors: the shift in longitude of the Moon to the Sun and, above all, the different inclination of the ecliptic during the day shifting the hourly position of the degree of fate.
  • Its position on the ecliptic, observed with respect to the degree it stands, is indicative of the moon phase. His position in the world does not indicate anything.

http://www.cieloeterra.it/articoli.sorteoraria/figura6.gif

this animated image is taken from the 6th lesson of the Course 
Astronomical foundations and elementary astrology 
classic , by Giuseppe Bezza and Marco Fumagalli

If we had drawn this figure for the 45 ° or 35 ° pole, we would have found minor differences between placid and hourly fate, since these are reduced by approaching the equator. The reason is clear: to the equator, the ascending difference is null and the poles of the stars are all equal to 0 °, so it is no longer meaningful to speak of ascents or oblique discontinuities with respect to the pole of the site (0 °) or the pole of the 'astro (0 °): each point rises, culminates and slides along with its straight ascension. All calculations are then merged according to straight ascents and the Placido and Brunacci formula coincide: ar (Sorte) = ar (Hor) - ar (sun) + ar (moon). By moving away from the equator of the observation point, the ascension difference increases gradually, and thus the difference between the two fates that reach the maximum values ​​at each pole when the Sun is at the far western point horoscope.

 

https://translate.google.ca/translate?sl=auto&tl=en&js=y&prev=_t&hl=en&ie=UTF-8&u=http%3A%2F%2Fwww.cieloeterra.it%2Farticoli.sorteoraria%2Fsorteoraria.html&edit-text=&act=url

http://www.cieloeterra.it/articoli.sorteoraria/sorteoraria.html

 

http://www.cieloeterra.it/immagini/linea.gif

Marco Fumagalli

The calculation of the lots, according to Placidus.

(Linguaggio Astrale 103, June 1996), english translation by Daria Dudziak

According to the system of Placidus, the lots may be defined as the points of the local space chart which, having the same declination as the point B, are as many degrees away from it in right ascension (RA), as the point C is away from a point A in oblique ascension (OA) and in the same direction. The points A and B may be planets, house cusps or even lots; the point C is usually the oriental horizon or horoscope (hor). The name and the astrological meaning of the lot depend on the quality of the points A and B, on the basis of which the lot is calculated: the lot calculated from the Sun to Saturn is called the father's lot as these two celestial bodies are the significators of the father. Two general formulas for the calculation of the lots may be expounded, one which makes possible to find its AR and another its AO:

OA (hor) - OA (A) + RA (B) = RA lot
OA (hor) - OA (A) + OA (B) = OA lot

The two points have to be reversed between them if at the moment we are considering the Sun is under the horizon: for example in order to find the mother's lot in a diurnal figure we take Venus as the point A and the Moon as the point B, but if the figure is nocturnal we do the opposite. On the other hand several lots do not change from the day to the night as, for example, that of marriage. We show as an example the calculation of the Moon's lot, also called Tychê or Part of Fortune and indicated with the following symbol http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif :

by day: OA (hor) - OA (http://www.cieloeterra.it/eng/eng.articoli.sorti/sole.gif) + RA (http://www.cieloeterra.it/eng/eng.articoli.sorti/luna.gif) = AR http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif
by night: OA (hor) - OA (http://www.cieloeterra.it/eng/eng.articoli.sorti/luna.gif) + RA (http://www.cieloeterra.it/eng/eng.articoli.sorti/sole.gif) = AR http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif

  The following two figures should explain the principle on which the calculation of the lunar lot and of all the other lots is based (the small arrow indicates the diurnal motion of the local sphere):

http://www.cieloeterra.it/eng/eng.articoli.sorti/eng.sorti.GIF

  As I wanted the drawing to be as clear and simple as possible, I have left out the ecliptic in the figures and I have placed the Sun on the equator, at the autumnal equinox. In the figure 1 we see how the lunar lot is situated at exactly the same point where the Moon would be if by turning the sphere counterclockwise we made the Sun rise at the eastern horizon (figure 2). For this reason it was called "the lunar horoscope" seeing that its distance from the Moon measured in equatorial degrees or in time is equal to the distance between the real horoscope and the Sun (C-A).

http://www.cieloeterra.it/eng/eng.articoli.sorti/eng.sorte1.GIF

 Therefore it is obvious that, like the horoscope and the house cusps, the lots are the points of the local sphere: they express a relation between two points calculated only in virtue of the daily motion and of the equatorial arches.

Let's see now a complete example of calculation beginning from the data of a diurnal geniture: Milan, the 14th of April 1956, 10 hour and 35 minutes. It culminates in the midheaven 25°03' of Pisces which right ascension, RAMC, is of 355°28'. The oblique ascension of the horoscope, OA(hor), is of 85°28':

RAMC

355°28'

the arc of equator
(equal to 1 quadrant)   

+ 90°00'


445°28'

- 360°00'

OA (hor)


85°28'

  The Sun is in Aries at 24°24'49",and the Moon is in Gemini at 7°;07'48", the north latitude is of 0°09'36". Their right ascensions (RA), declinations (decl.) and oblique ascensions (OA) in Milan are indicated below; we cite also the ascensional difference(AD) of the Moon or the difference between its RA and its OA which will be useful for us later:

 

RA

dec

OA

AD

http://www.cieloeterra.it/eng/eng.articoli.sorti/sole.gif

22°36'29"

+ 09°28'02"

12°50'59"

 

http://www.cieloeterra.it/eng/eng.articoli.sorti/luna.gif

65°16'47"

+ 21°40'02"

41°27'36"

23°49'00"

   Now we have at our disposal all the elements necessary for the calculation of the position of the lunar lot:

  1. first of all we start with finding the right ascension (RA) according to the method we explained for a diurnal geniture :

OA (hor)

  85°28'00"

OA http://www.cieloeterra.it/eng/eng.articoli.sorti/sole.gif   

 - 12°50'59"

RA http://www.cieloeterra.it/eng/eng.articoli.sorti/luna.gif

+ 65°16'47"

RA http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif 


137°53'48"

2. afterwards as we know the RA of the lot, we can calculate its distance in right ascension from the nearest meridian (MC o IC) which is called "right distance" (RD) or "meridian distance". From the right ascension of the lot we see immediately that it is under the horizon, in the IV quadrant, between the horoscope and the Imum Coeli (IC), since its RA is higher than the OA(hor) and lower than the right ascension of the Imum Coeli: RA(IC) = RA(MC)+180 = 175°28'. Therefore its right distance RD should be calculated from the Imum Coeli:

RA (IC)

  175°28'00"

RA http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif

- 137°53'48"

RD http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif


37°34'12"

 3. We proceed now to calculate the temporal hours (TH) of the lot that in this case (diurnal nativity) will be the same of the Moon, seeing that the lot, having the same declination shares the ascensional difference (AD) and the temporal, diurnal (THd) and night-time (THn) hours with the Moon.; therefore the AD of the lot is 23°49'00". Since the AD corresponds to the difference between ascensions (oblique and right) that takes place between the rising and the culmination in the space of a quadrant (equal to a quarter of the whole day, therefore to 6 temporal hours), if we divide by 6 this value we get the quantity of equatorial degrees which added to or subtracted from 15° (equal to an equinoctial hour: 15° x 24 =360°), expresses the value of the single temporal , diurnal and night-time hour. The temporal hours will always be higher than 15° in the hemisphere situated to the north of the equator (positive declination), while they will be lower than 15° in the hemisphere south (negative declination). The declination of the Moon and of the lot is positive therefore the calculation is the following:

Equinoctial Hour

  15°00'00"

           

Equinoctial Hour

15°00'00"

1/6 AD http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif

+ 3°58'10"

1/6 AD http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif

 - 3°58'10"

THd http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif  


18°58'10"

THn http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif


11°01'50"

  4. Now we can find the hourly distance (HD) of the lot, dividing the right distance for the temporal nocturnal hours of the Moon (THn). We use the nocturnal hours since we already know that the lot is under the horizon; if instead it had stayed above we would have calculated the right distance from the Midheaven and we would divided it for the diurnal hours.

RD http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif 37°34'12"


THn http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif 11°01'50"

= HD http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif 3h 24m 21s

  In this moment the lot can already be inserted in the figure and we can calculate all the aspects that it receives in the world or according to the hourly distances. However we still have to find the ecliptical degree in which the lot should be registered that serves us to know which is the ruler of the lot or the planet that has more dignity on that degree. If we knew the equatorial coordinates of the lot (RA and decl.) we could easily find the ecliptical coordinates (longitude e latitude) by means of the trigonometric formulas of conversion between orthogonal coordinates. Nevertheless, since the lot, like fixed stars , does not have its own motion in the sky, but it is a point of the local space chart, we do not have to take its degree of ecliptical longitude (which is a coordinate of the celestial sphere), but its degree of passage in the local space chart. The degree of passage of a point in a space chart is not other than that degree of the ecliptic that in a datum moment transits to the same hourly distance from the meridian in the same quadrant. That point of the ecliptic that in the IV quadrant will have a hourly distance of 3h24m21s from the IC will be therefore the degree in which we should register the lot. We will see now how to find it.

  5. First of all we have to find the oblique ascension (or the discension) of the lot in its own circular chart (OACH-ODHC). Between two consecutive angles of the local space chart there is always a distance of 90° of equator, equal to 6 temporal hours (figure 3) and the OACH or the ODCH expresses the position of a star along this semi-arc . A star placed, for example on the horizon is always 6 hours away from the meridian equal to equinoctial 90° and it still has to cross all his diurnal or nocturnal semi-arc.

http://www.cieloeterra.it/eng/eng.articoli.sorti/eng.sortech.GIF

In this distance covered the star "consumes" gradually its ascensional difference which is maximum at the horizon (HC = 45°28' in Milan) and reduces to zero on the meridian (CH = 0°), where its OACH-ODCH is equal to its RA since the circualr chart is equal to 0°;. If we add 30° (equal to one HD of 2 hours) to the RA(MC) we get the OACH of the XI house and if we add other 30° to this we find the OAHC of the XII house: this is the principle of the Placidean domification. On the basis of the same principle if we multiply the HD of a star for 15 we get an arc of equator which added to or subtracted from the RA of the nearest meridian make possible for us to find the OAHC or the ODCH of the star, depending on the fact that it is east or west of the meridian. In our example:

RA (IC)

  175°28'00"

15 HD http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif

- 51°05'15"

OACH http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif


124°22'45"

  6. Now we have to find the horary circle (CH) or the "pole" of the lot by means of the following formula: tang CH= sin (1/6 ADmax HD) cotang eps, where eps means the obliquity of ecliptic (23°27') and the ADmax means the maximum ascensional difference to a given elevation of the pole (phi). The latter may be found with the following formula: sin ADmax = tang eps tang phi. Since in Milan phi is equal to 45°28', the ADmax is 26°09'41", 1/6 ADmax is equal to 4°;21'37", and the horary circle (CH) of the lot is 30°34'35":

tang CH http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif = sin (4°21'37" 3h24m21s) cotang 23°27'
CH http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif = 30°34'35"

  7. finally we calculate the ecliptic degree of transit (theta) of the lot with the following formula: tang theta = sin OACH: (cos OACH cos eps - sin eps tang CH) that in our case gives 12°22'56" of Lion as result:

tang (theta http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif) =

sin 124°22'45'


cos 124°22'45" cos 23°27' - sin 23°27' tang 30°34

theta http://www.cieloeterra.it/eng/eng.articoli.sorti/tyche.gif = 132°22'56  = 12°22'56" Leonis

 

http://www.cieloeterra.it/immagini/simbolo.GIF

http://www.cieloeterra.it/eng/eng.articoli.sorti/eng.sorti.html