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P. Svarogich
Dayly loops of planets in the ptolemaic - placidian equatorial directions

Any new understanding of the laws, governing the ambient space, in the practical sense is leaned on the power and effectiveness of traditional approaches. At the same time the new understanding gives us a vision of limits of efficiency of the old and traditional approaches. This is an absolutely natural situation, as just the inefficiency of a traditional approach in separate new situations, permanently appearing in the human practice, incite us to a new comprehension of basic concepts of existing knowledge and to working-out of the new vision of forces and laws, governing our Universe.

The instrumental possibilities of a man by the end of XX century are significantly increased. Astrology was always leaned on the computing possibilities of the ephemeris astronomy and celestial mechanics; the today accuracy of these branches of knowledge vastly exceeds the necessities of the traditional astrological algorithms. This situation has even generated a specific decadent trend of the phylosophical background of modern astrology.

However this incredible, from the standpoint of medieval astrologers, accuracy of prognostic (including retrospective) possibilities of the modern ephemeris astronomy gives us for the first time a chance to practically realize the most beautiful fundamental idea of ancient and medieval astrology - that each person, each unity of consciousness in Universe is the true centre of our Universe. Probably, only simplified vulgar understanding of this idea had generated in due time fruitless discussion between advocates of the Ptolemaic and the Copernican concepts of Universe. The reality and lucidity of Kepler’s laws do not refuse this great idea. The case in point is the astrology, the structure of time around the point where a person resides.

My report deals with the modern formulation of the idea and algorithms of medieval european astrology on the language of place where the person resides. An astrologer possessing and undestanding (!) the possibilities of modern astronomy could be satisfied neither by the Copernican heliocentric standpoint, nor by Ptolemaic geocentric one. Technically one can say that perturbations, caused by the rotation of a person around the polar axis (Fig. 1), should be introduced into the simplified Ptolemaic geocentric concept of the world. The astrological community already grew accustomed to the most simplest step on this way, going from geocentric coordinates of planets, Sun and Moon to topocentric ones. However for the Moon this step was already done by medieval astrologers directly carrying out the astronomical observations. For the ordinary zodiac instead of the ecliptic great circle on the celestial sphere, drawn by visible motion of the Sun around the geocentric observer (more exactly around the observer residing in the Earth-Moon mass center) it is necessary to take a swinging great circle, defined at each moment of time by visible displacment of the Sun on the celestial sphere centered in the observer’s point at the Earth’s superficies. So it is qiute natural to name the ordinary zodiac as solar, and the mondial zodiac of Claudius Ptolemaeus as terrestrial. Since the rotation of a person on the earth surface around polar axis is ideally circular, the terrestrial (or mondial in Ptolemaic terminology) zodiac and its projection on solar zodiac, carrying the name of house system, gave to astrologers the possibility to do accurate forecasts as early as in Middle Ages. The only revision after the Placidus work was made by the dissemination in the sixties of the so called topocentric system of houses by Polich and Nelson Page. Its cardinal cusps coincide with that of Placidus, and intermediate Placidus cusps closely approximate the corresponding topocentric cusps. The astrologer at low and middle latitudes working with an orbis of 1 , does not see the difference between the Placidus cusps and that of topocentric system.

However it is necessary to notice that the original description of the topocentric system of houses is mathematically incorrect and contains mistakes. I prefer to call the modified correct description of this system of houses as zodiacal house system (Fig. 2), since it is nothing else than the correct description of the projection of the cusps of the terrestrial zodiac signs onto the ecliptic circle. This modification does not displace house cusps on the ecliptic with respect to original topocentric system of houses. Only the positions of planets in houses are changed by 3'-5'. Unlike the topocentric house system, with this modification the full-fledged use of house cusps within the polar circle becomes possible.

Now the main thing. What is the difference between the horoscope, constructed on the basis of the local swinging ecliptics and the usual one? Again, the astrologer, working with orbis of 1 or more, in practice does not notice the difference, since the positions of planets and house cusps differ from ordinary locations by 10'-20' (Fig. 3). The aspects of planets to planets and to house cusps change their values even less — by 3'-5'. This is connected with that the changing in the longitude of planet on the local zodiac circle with respect to usual ecliptic longitude is for the most part caused by a slight dayly rocking of the local equinoctial point, caused by the influence of the person’s motion around the polar axis. For the local equinoctial points is necessary to take the points of intersection of the celestial equator, representing the mondial zodiac of Ptolemy, and of the local ecliptics, representing the circle of the local solar zodiac. I am wide of the thoughts that my contemporaries are more clever than the brilliant astrologers of Middle Ages, however our instrumental possibilities are incomparably stronger, right up to computers. The fact, that the astrological computing algorithms using local ecliptics are indistinguishable from the traditional astrological algorithms of the late Middle Ages within the orbis of 1, is evidence in favour of the new algorithms. It is only necessary to use them correctly to see what striking new possibilities they give. The second part of my report is devoted to these new possibilities, to be more exact to their small part, designated in the title of my report.

But before it I would do a small remark of historical nature. It seems to me that the reason of absence of the progress in astrological calculating methods after the great work of Placidus was not so much the persecution of astrologers on the part of the increased catholic church as, rather than the inconceivable perfection of medieval astrological computing algorithms after the Placidus’ work. If we put the calculation methods based on the notion of the local zodiac cycles of the massive heavenly bodies to be exact, we can implement the assessment of accuracy of the medieval astrological algorithms. The deviation of the ptolemaic-placidian equatorial directions from the conformal directions based on the notion of the local ecliptics is by 1-2 orders less than the mean errors of astronomical observations up to the middle of XIX century! The progress of astrology in XX century is mostly based not on the evolution of astrological algorithms itself, but on the reconstruction of losses and reorientation of the astrology towards the psychology. In this connection I would express my gratitude to the astrologers, scrutinazing the heritage of medieval astrologers in original languages, and in particular to Mr. Zattini from Holland, from which I learned that the great Ptolemy used both solar and mondial (terrestrial) zodiac.

The prevailing calculating approaches of traditional medieval astrology frequently by orders less exact than placidean-ptolemaius equatorial directions. For instance, due to the fluctuations of the local vernal equinox point the chart of a solar revolution can be erected for the moment of time, distant from that determined by traditional methods by several hours, though mostly by some tens of minutes (Fig. 4). In this case we obtain a completely different picture of interests and activities of an individual in the course of a year. Namely these relatively rare cases are of largest interest for the comparative astrological analysis, since mutual offset of house cusps would be measured not in degrees, but in signs of zodiac.

The second striking example of unsatisfactory accuracy of classical algorithms is a position of moon nodes in the horoscope. The Moon nodes as the crossing points of the Moon orbit with the ecliptic are the points connected with astrological (i.e. genethliac) reality only for the geocentric observer. The rotation of a person around the polar axis considerably stronger disturbes the visible motion of the Moon around the observer on the earth surface than the visible motion of the Sun. Therefore medieval astrologers did not be able to describe quantitatively the moon zodiac, though such attempts took place. For the accurate determination of the moon zodiac it is insufficient to know the usual spherical geometry, one needs the differential geometry and a good computer. Since the angle between the plane of ecliptic and the plane of moon orbit constitutes only 6, even a small fluctuation of the inclination of the moon local zodiac with respect to the ecliptic plane can cause considerably bigger angular displacement of the crossing point of moon and solar zodiac circles – up to 100 and more (Fig. 5). Though the average displacement is not too large – 10-20. The reaction of the most part of professional astrologers on the new position of moon nodes in charts known by them was positive and unexpectedly strong even for me, particularly when the new node run away from the traditional position by some zodiacal signs.

I want to show an example of the horoscope of one of the speakers of this congress Mr. Natale Maione (Fig. 6). The shift of the nodes is fairly big - 76. However let us turn to the interpretation.

The considerable shift of the position of the lunar node has found an extraordinary correspondence to the experience of the person under consideration. In fact, the traditional position of the ascending node, situated in VII house and in the sign of Gemini, should accentuate problems connected to the interpersonal communication (axis I/VII). Instead, the new position of the node in the sign of the Leo and on the axis IV/X confirms the stressful self-control of the person in a suffocating environment at workplace, full of conventionalities following from the presence of politicians and difficult to bear.

I would urge all astrologers upon trying the new moon nodes in birthcharts studied by them.

One of the most beautiful examples is the progradation and the retrogradation of planets as well. No need to explain in this audience what is a retrograde Mercury, and what it is necessary to do when it is retrograde. The libration amplitude of the local equinoctial point with respect to ordinary one, true or mean, is comparatively small: 10'-20'. However the motion of this point is so quick at times, that all planets except Moon become retrograde during a part of day. If Mercury moves quickly forward along the ecliptic, it can become retrograde during 2-3 hours a day. On the contrary, when it is retrograde, it becomes prograde during several hours a day. Priceless information, particularly for businessmen. On the whole, I noticed, that periods, when the local equinoctial point quickly moves back, making even invisible planets fast prograde, are the most effective for expansion, attack, dissemination of idea, any active impact on the surrounding world. The periods of general retrogradation suit for internal work, cogitation, heart-to-heart meeting, when it is important to listen to oneslf internal state, become transparent for different outer influences. The time of my report is a visual demonstration of this statement - all planets now are locally fast prograde for Venice, even the velocity of Pluto is about 3 per day.

However when the local equinoctial point changes its velocity with respect to the ordinary equinoctial point, the planets change the direction of its motion not synchronously, but one after other, depending on their velocities relative to the stars. Thereby nearly all planets, with the exclusion of Moons and sometimes Sun, Mercury and Venus, change the direction of its motion with respect to the local vernal point 2 times a day.

The most interesting is the analysis using local stationary points of a planet in combination with the use of the symbolic time mappings such as directions and progressions. The development of the concept of local zodiacs also allows to define on its base the so called conformal mapping of times. The basic definition, linking the dynamics of terrestrial and solar zodiacs, gives us a notion of conformal progressions — approximately 1 day of the progressive time for 1 year of the transit time. The repeated use of the conformal mapping gives us the definition of the conformal directions, which are very close to that of Ptolemy-Placidus on the stipulation that the displacement of a newborn is small during first 2-3 months of his life. In such progressions and conformal analogue of the Ptolemy-Placidus directions the local stationary points of planets are very important, especially for the people, in which horoscopes planets change their motion in first 5-6 hours of life. The presence of such points in the Ptolemy-Placidus directions must brightly show their’s worth, since each point in fact require the reorientation of the corresponding field of life from the outward expansion to the inward development and vice versa. Such moments could reveal itsels as moments of serious life crisises. Accordingly, in the progressive chart these points occur 2 times per annum for each planet. The observation of such periods in somebody’s life is very interesting, since it allows to feel a difference in interpretation of the progressive and directional planetary configurations and of the corresponding events.

In addition, the local moon node is one of the most interesting objects for studying within the framework of the comformal analogue of the Ptolemy-Placidus directions. In the significant percent of natal horoscopes the local node manage to go off by some dozens of degrees during several first hours after birth, since it can move quicker not only than Moon, but the directional house cusps as well.

I would finish my report with a call to use unless the new technique, but at least use in full measure the mondial (terrestrial in my terminology) zodiac of Ptolemy. Its use, as well as the techniques of local zodiacs and nodes, results in the peculiar mutual dayly librations of planets.I repete once again, using only traditional medieval algorithms of 2 zodiacs of Ptolemy. The most clear example — the conjunction of Uranus and Neptune in 1993. The conjuction took place 3 times during 1993. Any of the 3 conjunctions was not an occultation of Neptune by Uranus, as between the two planets was a significant distance in the ecliptic latitude. Under conjunction we understand the equality of ecliptic longitudes of these 2 planets. Considering the same 2 planets in the mondial zodiac of Ptolemy, we see that Uranus was in conjuction with Neptune in longitude of mondial zodiac 2 times a day during the whole 1993. Last time they were in mondial conjuction in the middle of january 1994. My own astrological experience testify that during this perod some events of my everyday life were in correspondence with these conjunctions.

All interested persons could address to the editorial board of the Linguaggio Astrale to order the CONCEPT program v.2.00 which realizes the algorithms described in the present report or/and find the necessary information on the web-site www.levante.org.