

10. Definitions  
Astrology — the science linking the events occurring in the Universe with the motions of the massive heavenly bodies. Aspect — on a given zodiac an aspect is defined for two arbitrary points of the zodiacal circle and accordingly, for their prototypes on the celestial sphere. Two points on a zodiacal circle are in an aspect of the N^{th} harmonic, if one point belongs to the N^{th }order family of the second point. An aspect is also the corresponding angular distance between images of two given points on a zodiacal circle. Dynamic angle — the angle between the plane of the local equator and the axis of anisotropy. Zodiacal circle — a circle of zodiacal longitudes with a reference point and sensitive points on it. Conform progressed mapping (or conform progression) t = P(T)
puts into correspondence to the interval T of (transit) time another interval t
(T > t) of (progressed) time such that the displacement for the considered time interval T of the local ascending
node of the second zodiac on the first one with respect to the fundamental
reference point of the first zodiac is equal to the displacement for the time interval t of the local descending node of
the first zodiac on the second one with respect to the fundamental reference point
of the second zodiac. Cusp of a station of a central body of N^{th} order — a point of
the family of N^{th} order of the fundamental reference point (locating at
90° clockwise from the central body), i.e. a point on a zodiacal circle with
longitude equal to the part of the full circle , where n
— number of cusp, N —order of the fundamental reference point
family. For N=12 — simply the cusp of station. Local equator (plane) is determined by two vectors: the force vector F
acting on a born on the part of the central body as a whole, and the
velocity vector V of the central body without taking account of
aberration in the nonrotating proper reference system of a born. World line of a born — the sequence of events in the life of a born expressed as combinations of coordinates and moments of time. Moment of creation — the moment of birth of a born as a wholeness. We introduce this term in order to avoid futile debates as to what constitutes the exact moment of birth, as each astrologer has his own particular opinion in this matter. Let us emphasize that this is an exact moment, rather than a time interval, chosen by following events of a born’s life in the context of the techniques of the exact aspect and of the fundamental triad. Orb of aspect — the maximum deflection of the zodiacal longitudinal difference between 2 points from the exact angular value characterizing an aspect, for which it is possible to consider the aspect as holding between the points for a given purpose. Parameterization — the procedure of assigning the zodiacal longitudinal coordinate to points on the celestial sphere. Planet as a zodiacal element — the point on a zodiacal circle having the same zodiacal longitude as a point on the celestial sphere representing a planet. A point representing a planet on the celestial sphere is defined by the direction of the anisotropy vector caused by this planet in the location of a born. Projection (image) of a point on a first equator onto a second equator has the same zodiacal longitude in the coordinate system of the first zodiac, as its prototype (the source point on the first equator). Born — a wholeness, whose world line (fate as an ensemble of events) is of interest to us. N^{th} order family of points generated by the first point on a zodiacal
circle — N points, symmetrically located in the corners of a regular Nagon
inscribed within a zodiacal circle. More strictly: the points of the N^{th} order
family of a given point can be generated from the first point by the action of
a regular representation of the cyclic subgroup of the N^{th} order of the
oneparametric group of rotations. Event — the death of one wholeness and the birth of another. Any event occurs at a specific time and place, i.e. in this sense the term complies with the notion of an event as a collection of spatial and temporal coordinates, as used in the theory of general relativity. Station (house, sign) — an interval on a zodiacal circle from
the cusp of a station (house, sign) up to the cusp of the following
station (house, sign). Exact aspect — in the present work by an exact aspect we mean an aspect with an orb of 30". It is possible that this is not a fundamental orb, but an error in astronomical and astrological calculations. When we increase the precision of calculations we expect a decrease in the orb of an exact aspect to at least 1" without modifying the conception presented here. Triad (fundamental) of an event: a planet, aspect, and the cusp of station (house). The planet and cusp are in exact aspect. The moment this aspect becomes exact fixes the occurrence of the event. Local nodes — the crossing points of two local equators of a born
and of their images on both zodiacal circles. Central body: a massive body generating the zodiac under consideration.
