Part 3. Verification of the Solar System Zodiac Model

3.1. General Considerations

Hypothesis SSZ-1 - the Age of Sagittarius is Terminating. The Age of Pisces has been primarily associated with Neptune which does not fully belong to the Solar System [3]. That is why it hardly can be taken as the main Ruler of the Age of Pisces, but rather as a co-ruler with the main Ruler, Jupiter. But is it Pisces, or Sagittarius through which Jupiter has acted? There are forcible arguments to imply that the past two thousand years exhibited a tendency to overall expansion with ("good intentions") to establish a worldwide moral law, which might be regarded as more appropriate for Jupiter and Sagittarius.

First of all, this is reflected in unpreceded global dissemination of new monotheistic religions specifying world outlook, which is in compliance with Sagittarius, (viz. as active and, frequently, compulsory expansion). All this, while establishing guardianship and spiritual values with respect to one's own arrogances - right up to the Inquisition, and the fighting of religious wars. Then, external expansion is followed by an internal one: countless sects and "teachings" are accompanied by hosts of "prophets", and extremists, all alleging freedom from the moral and even officially set-up Church of Satan.

As if emphasizing a duality of Sagittarius's nature (viz. its human and animal principles), the significance of moral standards grows, but in opposite directions. On a low level, this has led to forming of transnational cult of a physiologically based consumers' society. Its power is amplified enormously due to the resonance which electronics provides, by merging crowds into a single passion.

The high level of Sagittarius leads to publishing of esoteric concepts (The Secret Doctrine, Agni Yoga, etc.), which for millennia were passed on only to Initiates. By crowning this Age, they are principally expanding humankind's horizons, providing an evolutionary path into the next Age.

Also of importance is the physical expansion of a man’s dominion over the planet, and beyond its bounds. This defines the opening and developing of new continents, oceans and continental shelves, space flights, and telescopic study of the far Cosmos. Flights over the Planet become almost a usual thing.

We may consider variations in social structures as some of the greatest moments in manifestation of the Age of Sagittarius. It is not just the explosive increase in population, but the growth and expansion of empires and colonial possessions throughout the continents, with the subsequent establishing of unified political and economical structures (as well as the standardization of languages all over the world) under the slogan of spreading the culture.

The situation in the science and education can also be regarded as that which corresponds to the desire of Sagittarius to widen its knowledge: impetuous growth of educational levels, increases in the number of branches of sciences, and explosive technology and computerization clear the way for searching for “unknowns” in any conceivable or inconceivable sphere.

The same situation has taken place in economics, industry, etc. The list of commodities (goods and services) has become boundless. Extensive extraction of resources resulted in the littering of the Planet. Atomic power widened the possibilities of society to a great degree.

At the same time, the growth of the spiritual aspect of Sagittarius was not manifested to the same degree as the physical one. So, we may conclude that today the extensive initiatives of Sagittarius have reached some saturation, but, unfortunately, just at the physical level and astral subplanes. So, one may suppose that July of 1994 (the collision of comet Shoemaker-Levy 9 into Jupiter) might be regarded as one of those moments which specify termination of the Age of Sagittarius.

Hypothesis SSZ-2 - The Age of Capricorn is Started. The sequence of Capricorn following Sagittarius is natural for the zodiacal cycle of transformation, and brings to a stop the hypertrophied expansion and crystallization of the achievements of the Sagittarius and Jupiter. If this is true, the influence of Capricorn and Saturn must manifest themselves next. To all appearances this is so, and against the background of the apotheosis of Sagittarius's expansion, the tendency of Capricorn's compression and cutting off has started to manifest itself.

Empires and colonial possessions have come to destruction. Methodical annihilating of populations on an unthinkable scale took place both in peace-time and during wars. Many examples can be seen: millions of human beings lost their lives during World Wars I and II, genocide based on national, religious or ideological grounds even in time of absence of (international) wars, e.g. in concentration camps, and in local armed conflicts; restricting the birth rate. In times of peace, catastrophes of large-scale technical systems (e.g. atomic power plants); and the menace of nuclear warfare. If one remembers the mythology, s/he will recall that the Saturn's governing period was marked by severe treatment of his children.

Energy supply problems, exhaustion of mineral (and other) resources, a surplus of waste products, and large-scale accidents of technical structures necessitate the development of those technologies which accentuate ecological and saving factors. Destruction of morals accompanied by the rise of materialism has resulted in growth of both mental and various incurable viral diseases. Financial difficulties necessitate economizing on previously expanded social, educational and scientific programs.

It is also noted, that the 20th century has laid up very strange events for humanity, and that this century might even be the last one [18]. To this end, the transfer from the Age of Sagittarius to that of Capricorn might be correlated with the following quatrain X-73 of Nostradamus (translated from Russian):

He, Jupiter the Great who judges the Age -

This Age and that bygone one;

The world being vanished will be left by him,

As well, defendant clergy who repelled the God.

Besides, Fig.3 looks as if it is designated as illustration for another quatrain (I-16):

The Scythe in pond to be in highest of the standings,

Toward Sagittarius his turning race,

The pestilence and death from arms and hunger;

Comes to renewal - Age of long duration.

( Capricorn symbolized here by Saturn before the beginning of his Age, stands opposite Pisces and comes up to take the place of Sagittarius. Renovation through destruction of obsolete things with the use of Saturn's power is more visible - the Age of Capricorn comes).

Hypothesis SSZ-3 - The Special Mission of Aquarius. Uranus is traditionally associated with Aquarius. However, the overlap of the TZ and SSZ Leos also results in growth of Uranus’ influences. Indeed, its symbol, (viz. the Sun and arrow, represents an "active" Sun). In addition, numerologically (4-1), and functionally, Uranus (4) is associated with the Sun (1) and the sign of Leo [19]. In esoteric astrology the Sun, as the symbol of individuality, is regarded as a substitution for the mystical planet, (viz. Uranus), which symbolizes the true will, spirit, atma. The Secret Doctrine [3] states the Sun to be the central star, not a planet, and unambiguously indicates that it replaced the (at the ancient times) astronomically unknown Uranus in respective concepts. This means that Uranus might be regarded as the planetary Ruler of Leo.

Therefore, the overlap of the Aquarius and Leo signs of the Tropical and Solar System Zodiacs (Fig.3) resembles two sets of filters (when filters coincide in “colour”, the might of the passed stream is the highest). This becomes a significant factor in supporting the developed model of the SSZ, because it directly reflects the growth of influences of both Uranus and Aquarius. In addition, Fig.3 illustrates the esoteric prediction [1], that the battle between Saturn (the Ruler of Capricorn and co-ruler of Aquarius) and Uranus is on, and the self-destruction principle has been established, while new conditions would show unusual possibilities. As far as it is said much enough about the Age of Aquarius, it is hardly required to continue this paragraph.

3.2. Esoterical & Astrophysical Verification of the Concept of the SSZ

“If the Heavenly bodies have affirmed a country the way, then all energies do act; however, if the energies have not been asserted, the global consequences might be not caused by the astrological factors” [1]. Probably, the same idea lies beyond the quatrain VI-100, where Nostradamus warns against the formal use of conventional astrological techniques.

Now, it is known (See Part 1, [8, 13]) that several decades ago the Space started to exert a powerful influence upon the Solar System. However, the scientifically proved manifestations of this influence, that can be seen in geophysical, climatic and social alterations, were not so evident (at least to the author) before the middle of 90’s when the concept of the SSZ was proposed [20]. That is why an attempt was made to find other grounds for checking its validity. For this, the assistance of lady Marina was asked, whom the author new to be a mediator being able to transmit the questions to the definite Thin Plane’s Entities and to return their answers to the questioner. In contrast to many other persons (whom he knew) to be able to use their intuitive perception, her abilities in this sphere had proved to be much more exact. Though the answers were astonishing at those times, the most of them had obtained afterwards the factual and/or physical acknowledgement. The exposition of these answers, as they were firstly published [20], is as follows.

“People do not know all types of the Space influence. That is why this model of the SSZ contains some errors¹⁾, though it is quite close to the truth at present, and the hypothesis as to the 7-zone (viz. 7-sign) SSZ is true. But, soon, it will be transformed, because in the Space, even out of the Solar System, there will take place significant changes associated with the energy interactions²⁾. Indeed, around the year of 1997 a flash of Supernova³⁾ will take place in the direction of the constellation Orion; however, you will be able to observe this phenomenon in June - July 2002⁴⁾. Within the same period a new comet will arrive and exert its influence upon the Earth⁵⁾. Indeed, that, what is understood as the battle between Uranus and Saturn, will take place at approximately the same time and be accompanied by a colossal energy interaction which I (viz. lady Marina) see as enormous (relative to their might) energy flows or vortices between these planets⁶⁾. These energy flows will cause significant changes in the Solar System⁷⁾, and, in particular, in the SSZ structure. As to the Earth, in 2002 - 2005 this energy interaction will be followed by natural catastrophes⁸⁾ of large destructive power with their maximum⁹⁾ in 2003 - 2004. After then, the general situation will somehow come to a definite stability by 2006, as the nature after a thunderstorm. The humankind will not perish, but a lot of victims would take place¹⁰⁾. A redistribution of zodiacal energies will occur, and though the variations in the SSZ’ structure will probably take place, the TZ, in general, will not be changed drastically”.

NOTES (for this publication of December 2002):

1) New data allowed the author to make the SSZ numerical parameters more exact with respect to the version of [20].

2) In the recent review [8] it is shown that the highly charged matter and energy non-uniformity in anisotropic interstellar Space have broken in the interplanetary area of our solar System; apart from this “donation” of energy, it is shown that a series of comets, that came to the central part of the Solar System, discharge the Solar capacitor [13], thus causing the distribution of energy between the Sun, planets and comets (See Examples in Part 1).

3) In 1997, a rise in activity of the still alive supernova star Eta Carinae was observed [21 - 27]. It is still widely discussed until now; for more details, see Para. 3.3.

4) As to Orion, it is noted, that: “since most observers in the Northern Hemisphere cannot see Eta Carina, it is less well known than its famous cousin, the Orion Nebula ” [See The Home Page Masthead Image http://www.astro.ufl.edu/sitemap.html]. We may suggest, that the year 2003 was meant, as namely in June - July 2003 a new rise of activity and the subsequent eclipse were predicted for Eta Carinae (See Para.3.3).

5) A series of comets with conjugate orbital parameters has arrived in 1996 - 2002, and, firstly, the comet Hale-Bopp that culminated in 1997 [14]. This comet continues to exert its influence since 1997 until present by causing both natural and social effects [15, 16]. For more on comets, see [13].

6) These are observed the auroras on Saturn, Uranus polar shift and abrupt large scale growth of Uranus’ magnetosphere intensity [8]. Other examples are given in [13]; they also show the actuality of the comet-planetary electrical interaction.

7) In details, these changes are described in [8, 13, 17].

8) The intensity and frequency of natural catastrophes, climate changes and social events (acts of terrorism, etc.) is rising since the end of 80’s until now. This increase might be attributed to other causes as well: to the increased Magnetic Pole variations (See Note 1 of Part 1) etc. But the collected statistics shows [15, 16] that these events of extremal nature (including the September 11 attack and the subsequent military response [15]) are concentrating around the Time Foci of the comet Hale-Bopp. Besides, synchronously with these Foci, the two-comb 11-year Solar activity maximum, as well as its local surges, has “overheated” the Globe; with respect to [9, 28], this excessive excitation will be “resolving” in the subsequent years, until the next phase of the 11-year Solar activity cycle.

9) This possible maximum might be attributed to the expected Eta Carinae’s event in June - July 2003, assumed coming of the comet (or brown dwarf) “Nibiru” [13, 17], possible increase in the Earth’s Magnetic Pole shift [8], etc.

10) The possible causes and effects of such phenomena are described in [13, 17] and in Para.3.3.

3.3. The “Celestial Thunderbird”, Eta Carinae

3.3.1.Why Is Eta Carinae Interesting?

Massive stars are key astronomical objects because of their important role in cosmic chemical enrichment and galactic evolution. They mark the end of their stellar lives as supernovae whose peak luminosity can equal the entire radiant output of a galaxy of a trillion stars. The extreme members of this class might produce “hypernovae”, cataclysms hundreds of times more energetic still, and a postulated source of gamma-ray bursts. Such extraordinary explosions require stellar precursors of unusually large mass, and so should be rare. The Milky Way contains at least one possible member of this putative class of hypernova progenitors, the massive, luminous, and relatively nearby star Eta Carinae (η Carinae) [23].

The name of this star, Foramen, or Eta Car (for short) is derivative from Latin “hole, orifice”, which is quite symbolic for its origin. The Eta Car’s coordinates are

α₂₀₀₀ = 10^h 45.1^m ,    d₂₀₀₀ = -59˚ 41¢,

which give the Ecliptic longitude

l ₂₀₀₀ = 22° d 9¢ 29.7².

As the Solar System, this star is allocated almost exactly in the Galactic Plane (10 pc Southwards from this plane). Eta Car is only 2.3 kpc distant from the Sun (See Fig.1). In comparison with the Sun, Eta Car’s properties do really impress [22]:

“Eta Car became interesting 150 years ago, when underwent a giant outburst. It reached magnitude -1, the brightest star in whole the sky, after Sirius. In 30 years, it released as much energy as a supernova. A dusty envelope made the apparent brightness of the star to fade below the naked eye visibility. The optical/violet light screened by dust, reappeared in the infrared, making Eta Car the brightest object in the sky, outside the Solar System. Actually, the total luminous power, decreased only slightly after the giant burst, remaining very high until now. This indicates that the star survived the event, though such massive objects are not, generally, the long-livers. The source of energy is not related to the nuclear burning core, and its nature is unknown. This is very intriguing, taking into account that it happened other times in the past centuries, as seen by the expanding ejecta outside the Homunculus. Eta Car is an exciting object by many other reasons: a) it is one of the most luminous and massive star known; b) the Homunculus, formed in the great burst of 1840 displays a beautiful bipolar flow; c) several “rays” or “jets” form a very flat structure exactly in the Homunculus’ equator; d) some “jets” are headed by mysterious “blobs”, near the central star, that should have required a huge amount of energy on a very short time scale to be formed; e) a large amount of dust was formed in an ambient deficient in Carbon; f) the size of dust grains around Eta Car is 10 times larger than that normally found in other stars or in the interstellar clouds. Several interpretations have been attempted to Eta Car: slow supernova, pulsar embedded in a supernova remnant, etc.” [22].

“Eta Carinae has the most interesting photometric history of any naked-eye star. Conspicuously unstable during the years 1700 - 1830, it became one of the brightest stars in the sky during its famous giant eruption from 1837 - 1860, then it faded to eighth magnitude, experienced a second eruption around 1890, and faded again. The causes of these great nineteenth-century outbursts are not yet known, even after decades of modern research. A gradual brightening during the twentieth century can be explained by expansion of the dusty Homunculus ejecta nebula without necessarily invoking any major change in the star; Eta Car appears to have been more stable during the past hundred years than it was in the preceding two or three centuries. Aside from the long-term trend, visual-wavelength photometry since 1960 has shown only minor fluctuations of the order of 0.1 mag.” [24].

“However, the Eta Car’s behaviour during the 90’s has been unprecedented in its modern photometric record, which covers the past 40 years, and the sets of data agree that substantial brightening occurred after 1995” [24]. Besides, the recent observations have shown that Eta Car is a strong source of hard, high absorbed X-rays; there is also a mysterious point-like source of hard emission centered on the star itself [25]. These characteristics are extremely unusual for X-ray emission from single massive stars. Even more interesting, the X-ray emission from Eta Car is known to vary by large factors.

In time, the Eta Car’s X-ray emission was developing as follows [23, 25]. In Feb 1996 the X-ray flux showed a slow rise, and starting with Jan 1997, the rate of increase in the X-ray flux accelerated dramatically; in Nov 1997 the X-ray emission reached a maximum, then quickly plummeted to a minimal value, where it stayed for about 3 months. ... This confirms that the X-ray emission changes with the same period as determined spectroscopically. ... After then, a new 5.52 year cycle of Eta Car had started. In Mar 1998 the X-ray flux started to rise; this rise was at first rapid, but has slowed somewhat in recent days. HST /Space Telescope Imaging Spectrograph data show that the apparent near-UV, visual-wavelength, and near-IR brightness of Eta Car increased by a factor of two during 1998. Meanwhile, its Homunculus ejecta nebula brightened by about 30%, the largest fluctuation of this type in the past 40 years. These developments were quite unexpected and are not easy to explain. Some dust has probably been destroyed, while the star’s luminosity may have increased even though it was already close to the Eddington limit. Such a rapid luminosity change would be a truly remarkable phenomenon, not predicted by existing models.

A more pronounced brightening, that occurred in 1998, was almost detectable with the unaided eye. This new phenomenon, more extreme than any brightness change seen in Eta Car during the past 50 years,  may be intrinsic to the star, or it may indicate a rapid change in circumstellar extinction, or both; in any case it is a considerable surprise which may have major implications for very massive stars [23].

“In 2003.5 (viz. around July 1, 2003, or at the Time Focus July 4 of the comet Hale Bopp [15]), Eta Car, one of the most luminous and massive stars in the Universe, is expected to undergo an X-ray eclipse, which is believed to occur every 5.52 years and is thought to be correlated with the 5.52 fading of high excitation lines, and is thought to be produced by the eclipse of a shock around a hidden companion by Eta Car” [29]. It is seen from the presented graph, that the moment of eclipse is characterized by an abrupt fall of the X-ray emission from Eta Car after a sharp cycle maximum that precedes the eclipse by a month.

Therefore, by taking account of the great importance of this star, high stability of its 5.52-year cycles and current increase in X-ray emission (in comparison with the trend of the preceding event of 1998), it was declared the International Campaign to monitor the 2003.5 Event in Eta Carinae [29, 30].

3.3.2. The Effects a Flash of Supernova may Cause

“Extremely massive stars are key astronomical objects, as they play a role in chemical enrichment and galactic evolution. They mark the end of their stellar lives as supernovae explosions in which a single supernova can equal the entire radiant output of a galaxy of billion stars. Recently the extreme members of this class have been suggested to produce the “hypernovae” which might explain the bursts of gamma radiation which have been an astronomical mystery for 30 years. The energy emitted by a hypernova is astounding; perhaps the equivalent to the radiant energy output of an entire universe of galaxies. Such extraordinary explosions require stellar precursors of unusually large mass, and so should be relatively rare. Alarmingly, the Milky Way possesses one possible member of this putative class, the massive, luminous, and relatively nearby star, Eta Carinae. Eta Car is both an extremely massive star and an extremely unstable one” [25].

Flashes of supernova are quite actual for this study, since they exert  colossal influence upon the Space processes; the more so that all of them, that have been registered in our Galaxy over the last millennia, are synchronous with the Auric epochs of the Mayan Calendar [31]. That is why consider their influence at greater length.

More than 300 explosions of Supernovas were photographically observed in other galaxies, but only three of them (in 1054 AD, 1572 AD, and 1604 AD) were registered in our Galaxy which in some cases were seen even by naked eye as objects being brighter than Venus.

The Supernova registered in 1054 by Chinese and Japanese astronomers was seen even in the daytime. After then, at this place the Crab Nebula had developed. It was also followed by very long period of high Solar activity – up to the epoch of about 1300 AD (viz. to the Auric epoch #4, 1287 AD). At this, the content of radioactive isotope ¹⁴C in the natural samples was at the highest level (about 10% above the norm) from 1100 AD to 1250 AD. Besides, this period was marked by the global rise in temperature, that was further called the medieval climatic optimum.

The last two flashes of Supernovas in our Galaxy took place in 1572 and in 1604 (they were observed by Tycho Brahe and Kepler, and called by their names) and were followed by a centennial decrease in Solar activity (so called Maunder’s minimum); a small ice-age fell on the Earth. Kepler wrote that the flare was seen even in the day-time and with the naked eye.  In Russia it was the Time of Trouble (up to 1605); apart from political confusion, for three years it was a period of extremely cold weather with Summer snowfalls, the “Great Pestilence” when the people ate the grass and bark. At this, the difference in global air temperature between the medieval climatic optimum and small ice-age period was about 1ºC only!

“A seldom person had seriously responded to the Cosmic event that had occurred on the February 23^rd, 1987 at 2:53 UT, whereas this event will probably go down to history” [32]. At that moment, the Canadian astronomer Shelton who was working in Chili, had registered the flash of Supernova in the Magellanic Clouds being the satellite of our Galaxy. This Supernova was assigned the name SN1987A. Registration of the respective splash of gravitational radiation shows that its magnitude was extremely high. As a result, a vigorous energy flux had struck the Sun and planets, and it was powerful enough to influence even the Solar processes.

Thus, at the beginning of the 1987 the Sun was calm, whereas even in two days after this flash the sunspots had aroused on the surface of the Sun, and, since then, the number of sunspots had begun to steadily grow until the 11-year Solar activity maximum took place in 1989 – 1991, after the shortest inter-maxima period over the 150 years [32]. At this, a series of fierce natural cataclysms took place in that year: unprecedented drought and forest fires in USA and China in Summer and powerful floods in China in Autumn; the Nile had burst its banks and flooded Khartum. The Spring floods on the Rhine and Danube had exceeded all the levels on the record. The tropical thunderstorms and showers were continuing over the European part of the USSR for a month. In Autumn, ¾ of the Bangladesh territory was flooded, 30 millions of people were left homeless, the epidemic of cholera had flared up. The typhoon “Gilbert” did damage to the Caribbean Region for about $10 milliards. All these are apart from the unprecedented natural calamities in Nicaragua, Indonesia, and other regions [32].

Besides, the flash of Supernova stimulates, in particular, such processes as rising of the average atmospheric temperature which, in compliance with the World Meteorological Organization, could attain the values of 1.3ºC in 2000 and 3º- 4ºC in 2050. To this end, the greenhouse effect and flash of Supernova act in unison.

3.3.3. Eta Carinae - a Master-Clock for the Solar  Activity  Cycles?

“The death of Eta Car is likely to be one of the most explosive events ever experienced in the Galaxy” [23], though astrophysics cannot exactly determine neither the current evolutionary state of this star (system), nor the length of time until eventual end as a supernova or hypernova. However, it is expected that: “analysis of the 5.5 yr X-ray cyclic variation, timing of flares, and variations in column density may be the best means to fully determine the physical parameters of Eta Car, and so determine its evolutional state” [23]. These phenomena show fairly stable periodicity, though is not known whether the duration of this cycle was the same hundreds years ago, or not. The below established two-centennial synchronism between the 11-year Solar activity (SA) and 5.5 year Eta Carinae cycles allows us to assume that it was probably so, at least for the preceding two millennia.

A series of these cycles was observed for the first time in 1948, but it seems that they were present also during the great burst of the XIX century; as far as the last spectroscopic event in Eta Car was predicted to occur around 1998.0 and was actually progressing on schedule, we cannot yet rule out the possibility of a new major eruption in 2003.5 [27]. At that moment [29], Eta Carinae is expected to undergo an X-ray eclipse, which is believed to occur every 5.52 years and is thought to be correlated with the 5.52 fading of high excitation lines or 2020 day [30] radiation cycle, and is thought to be produced by the eclipse of a shock around a hidden companion by Eta Car. Therefore, in the below considerations make use of the most exact estimation for this cycle, viz. 2020 days, instead of the preliminary values of 2014 days [27] (that yields 5.51 yr as 2014/365.24=5.51418) or 5.52 yr.

Relative to the value of the average period T₀ of the 11-year SA cycles, which plays the key part in the Solar-planetary synchronism, the following must be said. At present, a conventional model of deterministic (viz. defined analytically) description of the SA time developing process is absent; moreover, even the average duration T₀ of the 11-year SA cycle is estimated with an error of up to 3%, whereas the inter-maxima periods took the values from 7 to 17 years. Though it is generally accepted in astronomy, that the short-termed (up to 2 years) sunspot level predictions could only be efficient, which cannot give a solution to the problem, considering of the Regular model [33] of SA maxima distribution, which is obtained on the basis of sunspot activity telescopic observations covering the period of 400 years, allows us to approach this problem in a different way.

The estimation for the period T₀ , that is obtained on the basis of 36 telescopically observed SA maxima  [33] and is supported by the historical chronicles [21], which register 197 SA cycles, makes

T₀ = 11.07 yr .                                                                     (13)

The Regular model is based on use of the uniform (viz. equally-spaced) distribution for the model epochs of the 11-year SA cycle maxima, the parameters of which are obtained with the use of the least-squares technique; these epochs are specified as follows

                                                  ₍₁₄₎

At this, (i) the deviation  between the epochs of actual and model  maxima is described by a strikingly exact and symmetrical double-sided Relay distribution for the given astronomical data of XVII – XX centuries; the Regular model (ii) yields significantly less variance than a “conventional” one presuming successive and independent development of 11-year SA cycles and (iii) forecasts the epochs of the 11-year SA maxima for hundreds of years with more accuracy than the epoch of the forthcoming maximum  could be predicted by the common rule , where t_n is the year of the last actual SA maximum. What is more, 2/3 of the epochs of actual maxima (viz. 24 of 36 SA maxima over the XVII – XX centuries) form pairs, or clusters , with the same deviations d_i » d_j being equal to  where  are taken in definite combinations. Coming of these clusters into existence could be considered random, or accidental, but with an exceedingly small probability of order of 10^-11 [33].

In other words, the actual 11-year SA maxima epochs show a stable trend to develop near the model epochs (14) so, that their deviations from these epochs follow the double-sided Relay distribution. At this, 2/3 of the actual maxima epochs have to be considered as not “random”, since they form such clusters , that the deviations d_I » d_j for their years  repeat the values of the set {D_ij}. Hence, for any cluster  the difference t_i – t_j  (in years) gives an integer number of periods T₀ within the accuracy of 10^-2. Therefore, the value (13) can be taken as the most accurate estimate for T₀, whereas the Regular model – as not random and quite accurate numerical model that describes the development of the 11-year SA cycle maxima.

The duration of the Eta Car cycles being estimated by 2020 days makes  tropical years. Twice this value, T_E = 11.061 yr coincides with the average 11-year SA cycle duration T₀  to the relative accuracy of . This leads us to

Conclusion EC1. In terms of cycle duration being inverse to the frequency of the events, the average period  yr of the 11-year SA cycle presents the second harmonics of the basic Eta Carinae radiation event cycle period of  yr with the accuracy of .

Further on, by taking the accepted [29, 30] estimation 2003.5 for the reference point, we obtain the following model for the Eta Carinae event distribution

_{.                                                  (15)}

Compare now the moments of actual events vs. the model ones being defined by (14) and (15).

Table. Most prominent Eta Carinae events [22] vs. the model peaks of the 11-year SA and Eta Carinae cycles

The average absolute errors for the columns 4 and 6 (for the five dated events) make  yr,  yr, though the relative errors are 5% and 11%, respectively, as the SA cycle period is twice the Eta Car’s one. If the middle point  is taken for an Eta Carinae event that takes place between the model peaks , , the average errors <