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P. Svarogich

(English editing by Ed Falis)

Principia of polyzodiacal astrology

5. Aspects, orbs and the technology of interpreting pinpoint accuracy

5.1 Aspects.
5.2 Orbs.
5.3 Experimental orb of "exact" aspects and the accuracy of astronomical and astrological calculations.
5.4 Event-trigger points of the horoscope.

5.1 Aspects.

The notion of an aspect on a given zodiac can be defined for two arbitrary points of a zodiac circle and accordingly for their prototypes on the celestial sphere. Two points on a zodiac circle are in an aspect of the Nth harmonic if one point belongs to the family of the Nth order of the second point. In the context of a given harmonic the specific aspects are distinguished by a number n that determines the angular distance between two points on the zodiac circle to be . An event as a qualitative transition of the state of a born occurs in the presence of an aspect between zodiacal elements.

In particular we want to emphasize that an aspect between two points on the celestial sphere is not defined by the corresponding angular distance (great circle distance) between them. An aspect is the angular distance between the images of two points on a zodiacal circle. Therefore (and this is known since Ptolemy54) [19]) the number of aspects between two points on the celestial sphere can be as great as the number of zodiacs you consider.

5.2 Orbs.

The proper use of orb in event calculations using astrological techniques and symbolism is a difficult problem. In astrology the term orb designates the deflection from exactness of the difference in longitude between two points, from some value considered to be an aspect. Aspects are generally understood as some rational part of the full circle (360). Orb is also used to designate the maximum deflection from the exact value for which it is still possible to speak of an aspect existing in some sense between two points. Here we use the word ‘sense’ to emphasize that different maximum orbs apply, depending on the type of interpretation to be done. Each kind of interpretation has its own associated values of maximum orb.

When interpreting a natal chart the orb of some aspects can be several degrees. It is useful to call aspects with such a large orb psychological aspects, whose use is the determination of the nature of a born: his reactions, his relations with other people and society as a whole, his scope of interests, profession and so on.

However in event calculations when interpreting the nature of an event it is necessary to use an orb of approximately one degree. Let us briefly describe the technique for event interpretation that we learned from Markina N. Yu, which she in turn attributes to Vaisberg V.A.

The nature of an event and its approximate time of realization are connected with the formation of an ensemble of aspects related to it. We consider aspects of planets among themselves, and those between planets and house or station55) cusps. By house cusps we understand the projections of the stations of another zodiac onto the one we are considering. The nature of an event is described by the houses or stations that are activated by the aspects of the ensemble. A house or station is considered activated if its planet-ruler and planet-significator56) have an aspect between them, and both of these planets have an aspect to the cusp of the house or station. We mark on a zodiacal circle both natal and transit planets and cusps. In the calculations the aspects between two natal points, between natal and transit points and between two transit points are considered. Furthermore, instead of transit points we also use the progressed or directed points57) (Fig. 6).

Fig. 6. The structure of an ensemble of aspects for an event. The aspects determining the development of this event in time are marked with bold lines.


When carrying out the research on the framework of this work we found an additional kind of aspect interpretation. This is an aspect that directly induces the coming of an event. The ensemble of aspects we have discussed so far exists (within the orb of 1) for a certain duration. How do we determine the exact time of the event? Some events comprise several sub-events that occur in sequence. For example, when moving to a new apartment you first buy it and only later move to it. In the ensemble of aspects of an event there are long-lived and short-lived aspects. The short-lived aspects are the aspects to the transit (progressed, directed etc.) cusps of the radix and to the transit (progressed, directed etc.) planets. The moments of time when these aspects become exact define the exact time of an event, or of one of its sub-events, when there are several.

5.3 Experimental orb of "exact" aspects and the accuracy of astronomical and astrological calculations.

The experimental orb of "exact" aspects is about 30". For calculations in our research we used the astrological program CONCEPT. The precision of the calculations of planetary coordinates with this program is about 1"58). But the error in determining the orientation of the Earth can reach 15". The precision of the Earth orientation calculation will affect the precision of the house cusp determination, which can be several times less precise than that of the Earth orientation59). The CONCEPT program was written according to the algorithms presented in the paper by Sergei Tarassov, the author of the astrological program ALMAGEST.

Of the astrological programs with which we are familiar, ALMAGEST produces the most exact astronomical calculations for both planetary coordinates and the orientation of the Earth. Currently it is not clear whether the 30" orb is due solely to accumulated calculation errors, or whether it is fundamental; that is, whether 30" is an actual spread of astrological sensitivity. It is important to note that a large number of mistakes (if not superstitions) in astrology are due to confusing accumulated astronomical calculation errors with fundamental astrological orbs. We hope that the orb of 30" is of a purely computational nature, and that the increase in precision in calculating the orientation of the Earth will reduce the experimental orb. For now the precision of the Earth orientation calculation of 15” is sufficient, since its proper use requires geographical coordinates of a born at different moments of his life precise to 400 metres. Even a determination with a precision better than 300 metres (about 10") does not improve the situation, since the attainment of greater precision requires the use of gravimetric maps. Such levels of precision will hardly interest an astrologer, but are of great interest to a physicist, as they would allow a reliable proof of the unnecessity of the aberration correction in astronomical calculations used for astrological purposes60).

5.4 Event-trigger points of the horoscope.

The question of what points on a zodiac are connected with the occurrence of an event is not as simple as it might seem at first glance. Not all points on the zodiac circle are connected with an event occurrence. The prime examples of such ineffective points are the cusps of the solar zodiac signs. The position of a planet in a solar zodiac sign displays strongly in the personality; the entrance into a new solar zodiac sign by a progressed planet occasionally causes obvious changes in the person’s life. But the actual events associated with such a change occur on one or more aspects of the considered planet to a house cusp or to another planet immediately before or after the entrance into the new sign61).

Event occurrence is carried by the planets, and by the house cusps as projections of the station cusps of terrestrial zodiac onto the solar one. This is known from medieval European astrological tradition (Ptolemy-Placidus directions): events occur on aspects of planets to station cusps in the terrestrial zodiac. Thus, we draw the conclusion that event occurrence is effected jointly by the planets, and the cusps of the zodiacal stations and of the houses as projections of zodiacal station cusps onto another zodiac. For the terrestrial zodiac this is proven by centuries of astrological practice.

54. According Ptolemy two planets could simultaneously be in two aspects: the usual (solar) and the “mundo” (terrestrial).
55. Aspects of planets to station cusps in the angular measure of the terrestrial zodiac were used in the method of directions in medieval astrological practice. Currently, almost no one uses them.
56. We question the existence of some strict basis for the notions of ruler, significator, exaltant and their antipodes. More likely this is a simple way to note the power and intensity of a planet by sign or house (station). We have simply outlined the widespread variants of techniques for event calculations. Sometimes one happens to take an exaltant or significator for the analysis of some event, or simply one of the planets whose characteristics are combined with (or opposite to) the sign or house (station).
57. Most often the points of some symbolic chart are considered, since the cusps of transit houses move too quickly in real time to be used to consider events other than an accident, a splintering of dishes etc.
58. For the 20th century.
59. The deterioration of accuracy in house cusp calculation is due to the fact that the house cusp is a crossing point of the house cusp plane and the ecliptic plane. The smaller the angle between the two planes, the worse is the accuracy. This is particularly important at high latitudes. For instance, at the latitude of Moscow the accuracy can fall by one order of magnitude.
60. In the language of the general theory of relativity this means the use of a purely spatial geodesic rather than the light geodesic for the determination of the planets’ positions on zodiac circle.
61. Such inexactness can be also connected with the fact that when the local ecliptic (local equator of solar zodiac) oscillates, the mutual distances of planets in the measure of the local solar zodiac change less than their longitudinal coordinates as counted from the local vernal point.
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