Thursday, March 29, 2018

S&P 500 Index vs Equation of Time | 2015 - 2018


The apparent motion of the Sun along the plane of the ecliptic is not regular (Kepler's laws of planetary motion). This non-uniform motion is caused for two reasons: (1.)The Earth's orbit is not circular but elliptical (Eccentricity), and (2.) the Earth's axis is tilted about 23 degrees north and south from the ecliptic (Obliquity). Mean Solar Time assumes that the orbit is circular, that there is no tilt, and that each day of the year is of exact equal length (60 x 60 x 24 = 86,400 seconds). However this is not the case: The real astronomical Apparent Solar Time differs from the Mean Solar Time (the time of our clocks) by the Equation of Time. This equation describes the discrepancy between the Clock Time and the time indicated by a sundial (the word equation is used in the medieval sense of reconcile a difference) in a given place at the same time. The Clock Time actually matches the Apparent Solar Time only during four moments per year (December 25th, April 15th, June 13th, September 1st) while on November 3rd the Clock Time in New York City is as much as 16 minutes behind and on February 11th more than 14 minutes ahead of the real astronomical time. 

Days when the Equation of Time is at zero, at extremes or even at midpoints between peaks and troughs oftentimes coincide with a change in trend in financial markets (at least short term). The Equation of Time for New York City will be at zero on April 15 (Sun) and at a peak during May 14 (Mon). The midpoint between the trough on February 11 (Sun) and the peak on May 14 (Mon) is today, March 29 (Thu).

Wednesday, March 28, 2018

Declinations of Sun, Moon and Planets 2018 | Parallels and Extremes


The Parallel Aspect is formed between two planets with the same declination or distance north or south of the ecliptic. If the planets are both North or both South of the ecliptic, the parallel aspect is read as a conjunction. If they are the same declination but one is North and one is South, then the contra-parallel is read as a 180 degree opposition. These aspects are strongest when the orb is kept to 1 degree. They can also magnify the intensity of any other aspect between the two planets or points. 
 
On March 27 (Tue) 15:11 Mercury and Venus were parallel of declination at 9.2880 degrees north (HERE).
On April 4 (Wed) 14:30 Mercury and the Sun will be parallel of declination at 5.8257 degrees north.
On April 17 (Tue) 02:18 the Moon, the Sun and Uranus will be parallel of declination at 10.4128 degrees north. 
On April 20 (Fri) 13:00 Mercury's declination will bottom at 0.8124 degrees north while the Moon's declination will peak at 20.4433 degrees north the next morning. 
From May 6 (Sun) to June 8 (Fri) Venus will be out of bound (>23.4347 degrees north or south = beyond Sun's max-declination). Venus will reach maximum declination at 25.0537 degrees north on May 22 (Tue) 3:35 (HERE). Etc. 
 
Declinations Ephemerides can be found e.g. HERE + HERE 

Sunday, March 25, 2018

SoLunar Map | April - May 2018


Upcoming SoLunar Turn-Days are:
Mar 28 (Wed), Mar 31 (Sat) = 09:27 Full Moon, Apr 04 (Wed), Apr 08 (Sun), Apr 11 (Wed), Apr 15 (Sun) =
21:01 New Moon, Apr 19 (Thu), Apr 22 (Sun), Apr 26 (Thu), Apr 30 (Mon), May 03 (Thu), May 07 (Mon), May 11 (Fri), May 15 (Tue) = 06:45 New Moon, May 18 (Fri), May 22 (Tue), May 26 (Sat), May 29 (Tue) = 11:38 Full Moon, Jun 02 (Sat).
 Previous SoLunar Maps HERE

Review of S&P 500 Index vs SoLunar Map in March 2018 | Preview for April 2018.

Cosmic Cluster Days | April - May 2018


Upcoming Cosmic Cluster Days are:
Apr 13 (Fri), May 09 (Wed), May 16 (Wed), May 18 (Fri), May 22 (Tue),
May 30 (Wed), May 31 (Thu), Jun 07 (Thu).
Previous CCDs are
HERE

Review of S&P 500 Index vs Cosmic Cluster Days in March 2018 | Preview for April 2018.

The Golden Mean Between Rainfall and Lunar Phases │ Glenn W. Brier

Glenn W. Brier, U.S. Weather Bureau, Washington, D.C., 1965.
See also
HERE

Europe All Inclusive │ Václav Klaus & Jiří Weigl

[...] comparable to the "barbarian" invasions of
the ancient world that caused large-scale
regression in the development of Europe.
Václav Klaus & Jiří Weigl (Mar 03, 2017) - When the financial and economic crisis of 2008-2009 (probably the biggest in the last 80 years) ended in a stalemate and without the usual healthy recovery, the debt crisis of the hitherto relatively stable Eurozone countries began. Its recent culmination in Greece (again lacking any solution) was another big event. Two years ago we saw the start of the long-prepared and long-expected Ukrainian crisis, often wrongly (probably deliberately) interpreted as a Russian-Ukrainian conflict. Now we witness the migration crisis, which is being tragically underestimated and played down by the European elites. This latest crisis is shaking the continent in an unprecedented way.

All these crises, despite their differences, have a lot in common. Maybe that is why one replaces the other so easily. They serve as yet another example of the irresponsible activism of the political, media and intellectual elites of Europe and the entire West, bringing further limitations to human freedom and political democracy without allowing events to run their natural course.

We are strongly convinced that the current migration crisis is not just another one of the many so-called crises. The ongoing massive migration wave, which is unfortunately still far from reaching its peak, is comparable to the "barbarian" invasions of the ancient world that caused large-scale regression in the development of Europe which it took several centuries to overcome. Later, Europe successfully faced similar attempts by Arabs, Mongols, and Turks, often at the cost of immense suffering and losses. What we see today is a similarly fundamental challenge to the future of Europe.

Unlike in the past, it is unfortunately not clear whether today the will exists to defend ourselves. We lack a consensus on whether there is a need or reason to defend anything. Europe, and especially its "integrated" part, is riddled with hypocrisy, pseudo-humanism and other dubious concepts. The most dangerous of them are the currently fashionable, and ultimately suicidal, ideologies of multiculturalism and human-rightism. Such ideologies push millions of people towards resignation when it comes to concepts like home, motherland, nation and state. These ideologies promote the notion that migration is a human right, and that the right to migrate leads to further rights and entitlements including social welfare hand-outs for migrants. Last but not least, Europe is weakened by the leftist utopia of trying to transform a continent that was once proud of its past into an inefficient solidaristic state, turning its inhabitants from citizens into dependent clients.

The current European elites are behaving irresponsibly by defending and disseminating such ideas, regardless of whether they do so intentionally or not. The consequences of such activities do not yet fully and directly affect them or their families. Their leaders probably think that will never happen because their era will not be followed by infamous Biblical floods (not caused by excessive amounts of water this time, but instead by global warming.)

Triangle, Square, and Hexagon │ Basic Figures Filling the Space


The Equiangular Period Spiral includes periods, distances and velocities. It is delimited by three basic equiangular figures – the triangle, the square (more correctly the rectangle) and the hexagon. Nicolas d'Oresme wrote in his major work Le Livre du Ciel et du Monde (The Book of the Heaven and the Earth, 1377):

» Notwithstanding that He is everywhere, still is He absolutely indivisible and the same time infinite with respect to the three qualities that are divisible in living creatures, which we call duration, position, and power or perfection; for temporal duration of creatures is divisible in succession; their position, especially of material bodies, is divisible in extension; and their power is divisible in any degree or intensity […] Besides the varieties of trinity noted there, there is another which is pertinent to our present discussion, because, in accord with what we said […], there are three regular plane figures – the triangle, the square, and the hexagon – each of which we can imagine to be capable of filling so completely a flat area or surface that it is absolutely impossible that there could be more space to be filled; likewise there are three divine persons, each of whom fills all space. Isaiah the Prophet spoke of them thus: Holy, Holy, Holy, Lord God, etc. all the earth is full of thy glory. And there is one God, who spoke through His Prophet Jeremiah: I will fill the heaven and earth; and of whom Virgil said: All things are replete with Jove. « (Book IV, Chapter 10).


A page from d'Oresme's Livre du Ciel et du Monde, showing the celestial spheres:
Although the order of the spheres is conventional, with the Moon and Mercury
closest the Earth and Saturn and the stars farthest, the spheres are convex upward
centered on God rather than convex downward centered on the Earth.
[Paris, Bibliothèque Nationale de France, Manuscrits, Fr. 565, fo 69].

Saturday, March 24, 2018

Astro Cycles and Speculative Markets | Luther James Jensen

Luther James Jensen was born in 1900 and raised in Saint Paul, Minnesota, where he graduated in 1922. After entering the financial sector in New York, he worked for George E. Liggett and Associates until approximately 1930. Jensen then moved to Kansas and opened the Kansas City Bureau of Economic Research in 1931, which he operated for over 25 years. During the Roosevelt administration, he authored various economic forecasts, such as Major Trends in American Economics from 1492 to 1950: An Analysis and a Forecast, while also writing on war and peace cycles, radio communication technology, and migratory locusts in The Locust Years After 1940.

 
During this period, W.D. Gann became one of his major private clients. Although Jensen himself was apparently never an active trader, he published a booklet in 1935 titled Astro-Economic Interpretation: A Mundane Astrology Notebook; Fundamentals of Economic Forecasting. This work primarily relied upon transiting aspects and corporate horoscopes; today, this dense volume is considered one of the bona fide classics and finest "how-to" guidelines on financial astrology ever written. Throughout the 1940s, Jensen also authored the astro-financial column Market Perspective for American Astrology magazine.

Following the death of W.D. Gann in 1955, Jensen closed the Kansas City Bureau of Economic Research to work for B.C. Christopher and Co. in New York from 1957 until his retirement in 1971. In 1978, at the age of 77, he summarized his life’s work in a new, updated, and expanded edition of Astro Cycles and Speculative Markets. Over 50 years of study, research, and the practical application of his concepts in the stock and commodity markets have proven Jensen to be one of the preeminent astro-economic analysts of all time.

His approach utilized standard aspect qualities, such as favorable trines and negative squares, alongside standard planetary qualities, such as Jupiter increasing prices and Saturn depressing them. While a common critique of this early work is that it provides astrological indicators with little verification, his methods continue to be applied by successful private traders and large companies around the globe. Jensen passed away in 1981 in Shawnee, Kansas, though hard copies and e-copies of his seminal work remain available today.
 
 
The following is Jensen's introduction to financial astrology:
 
Chapter One: The Problem of Economic Causation
The habit of popular thinking lies along the vein that all economic problems are merely debatable theories. All economic affairs are viewed from much the same perspective as religious or political opinions; as something entirely dependent on the particular prejudice which happens to fit the environmental or geographical viewpoint. So it seems strange to suggest that there may be immutable laws that motivate the psychology of masses of people, and that imponderable forces operate in economic affairs without respect for the hopes and ambitions of men. At first glance it might appear that such a postulate should be the source of considerable popular derision, but perhaps only because the field of observation has been studiously ignored in modern times. At any rate, there appear to be several definite forces underlying the ebb and flow of the economic indices.

It is the purpose, in this brochure and the companion volumes of the series, to examine considerable evidence bearing on economic causation. The observations contained in this brochure will deal entirely with the longer or major trends in American economic history. In the search for causes the prime interest will be, not to align the historical events with the coincident statistical business record and dovetail technical results with psychological effects; but to go deeper and attempt to trace those natural causes which appear to motivate the changes in mass psychology and result in given effects. After locating the source or cause we shall then examine the manner in which natural psychological cycles coincide with the cycles of statistical business activity.

In confining popular economic observations to a few of the generalities like supply and demand, costs, available markets and distribution, labor, et cetera, the subject of economics is principally concerned with statistical results and psychological effects. Underlying causes of such phenomena as the business cycle have only been studied in a superficial manner. This will probably continue to be the situation until the search for causes is taken out of the field of statistics and placed in the field of psychology. At present, causes of economic fluctuation are either considered so remote and intangible that they cannot be defined, or else they are discarded as impractical. Economic effects, or rather statistical results, are paramount. We see economic effects all about us; we deal daily in effects, read of them in the news, see them in moving pictures, and hear them from others. Yet in confining all of our economic thinking to effects we are much like the remaining few who believe that the entire place of medicine is to be strictly curative and disregard efforts of anything preventive. Obviously, some approach toward analyzing economic causes is in order, if an economy is to be planned or any estimates are to be taken of the future.
 
The debatable method of approach to economics, or the study of effects, might be excused by saying the average mind is so confined to narrow habit that a co-ordination of vast principles is impossible. It might be explained from the viewpoint of the doctrine of free-will, which teaches that man is supreme, the source of both his success and his failure, and therefore the complete master of his fate. We might even offer the excuse that mankind is still in that stage of a blundering evolution where economic causes cannot be co-ordinated. But to present such explanations tie up with effects, again ignoring causes.

Basic causes of economic effects are as intangible as life itself. They cannot be located with any of the senses, such as hearing, seeing or tasting. They cannot be weighed by political votes, or religious followers. They cannot be found in laboratory test tubes, the statistical reviews of business activity, security prices, or in the opinions of celebrities. When we search for causes in these sources, we are simply dealing with another phase of economic effects.

We cannot feel, see or taste the radio-frequency power that blankets the earth's atmosphere. Yet its presence can be proven with a radio receiver. It is impossible to sense the force that shifts the ocean, effecting the tides. We have never been able to measure a mother's love for her child, and the attraction and repulsion that occurs between people. The effects are usually obvious to the senses, but never the causes.

Dealing almost exclusively with effects is the human habit. Probably ninety-five per cent of the people spend all of their time trying to change the effects about them. They attempt to change one situation only to meet another. It is often a case of leaving one discomfort or distress for another. Perhaps a scant five per cent of the people realize that to make any constructive change they must first locate a cause. It is in this search for causes that the minority find the seat of power; by locating causes and then applying the power for desired effects.

The basis of all causation in human affairs lies in the laws of vibration in nature. When we step aside from these natural laws we leave the field of causation and turn back to the analysis of effects, or the reflectors of causes. The modern developments in therapy; radio and electronics; sound, both music and noise; light and heat; indicate that all of us are entirely bound up in the laws of vibration. Feelings, and all action are vibrations. The key to our individual psychology, our mass psychology as a nation, and our entire economic life, is bound up with vibration. It is in this field of vibration that we are directing our observation of economic causation, to try and locate the coincident effects which might be generated.
 
 
Chapter Two: The Vibration Spectrum
Sound, light and heat are all forms of vibration. Each field has its own spectrum or scale of vibration. Sound is an impulse of air striking the organs of hearing with a perceptible effect. Light is that action wherein objects are made visible. Heat is another force, similar to sound and light, in that it has a rate of vibration also. Each of these natural actions have their spectra occupying niches in the huge vibrational spectrum of nature.

Modern science indicates that all bodies, unless at the absolute zero of temperature—assigned by physicists as minus 273 degrees Centigrade—emit vibrations. Most of these vibrations are not visible to the eye, sensitive to the touch or audible to the ear. The frequencies, or rates of vibration, vary from a few cycles per second to millions of cycles per second and include everything from sound waves to gamma and cosmic rays.

A crude illustration of the huge vibration spectrum may be made by drawing a pencil line about a foot long. At the left end of this line mark an (X). This point illustrates the rate of vibration of the musical note "B," four octaves below middle "C" on the piano scale, or thirty cycles per second. Move to the right on the pencil line about a half inch from (X) and mark (Y). This point represents a frequency of 5,120 cycles per second, the high musical note "E," four octaves above middle "C." As the rate of vibration rises above approximately 16,000 cycles per second—the pitch of some squeaks—it ceases to be audible to the human ear. We take this approximate half inch section on the pencil line to represent the sound spectrum niche of the major vibrational scale.

From the point (Y) move to the right on the pencil line—to establish the beginning of the electro-magnetic spectrum—about three inches, marking the point as (Z). This point represents the beginning of the modern radio spectrum. Moving to the right on the pencil line another three inches will approximate the radio spectrum, this right hand point representing frequencies of about sixty thousand kilocycles and wavelengths of five meters or less.

Again move to the right on the pencil line, after leaving a gap of about an inch to represent the lapping of the short wave radio band and the frequencies of the infra-red and heat rays, the center of which represents the rate of vibration of the color yellow, or approximately a rate of vibration of 500,000,000,000,000 cycles per second. In this spectrum is the frequency range where the human eye is able to directly detect the electro-magnetic vibrations we know as light and color. The eye continues this ability until the rate of vibration increases above that of the color violet.

Move to the right on the pencil line another quarter inch and mark the point (A). This quarter inch section represents the ultra-violet ray spectrum on the edge of the x-ray division. From this point (A) to the extreme right hand end of the pencil line represents the several segments of; first, the x-rays; then the gamma rays; and finally, the cosmic rays. In the spectra of gamma and cosmic rays the frequency is so tremendous that a huge line of figures would be necessary to represent the rate. The wave length at these frequencies is of the order of one ten thousandth of one ten millionth of a millimeter or less.

Observations indicate that the earth's atmosphere is permeated with high frequency radiation of tremendous penetrating power. Although this force is more intense at great heights than at the earth's surface, it is just as intense at night as during the day. At sea level this radiation breaks up about 1.4 atoms in every cubic centimeter of air per second, so it cannot be denied that millions of atoms are broken up in every human body every second. This is the source of distinct biological and in turn, psychological, changes in people. Far more penetrating than any other type of vibration it has been found that the most penetrating portion of these rays will pass through sixteen feet of lead.

It is only very recently that an analysis of the biological and psychological effects of these rays has been attempted by exact science. However, the effect of this energy has been observed by man for centuries.

Simple physics illustrates with a prism how a small segment of sunlight can be separated into the seven primary colors. On the angle of refraction of the sun-rays through the prism depends the particular color in the spectrum. Experiments indicate that a similar type of refraction process occurs through the planets in their relation to the Sun and Earth. Radiation on the surface of the Earth is composed of: first, the rays of the Sun which are refracted by the Earth's magnetism and atmosphere; second, the refracted rays of the Sun, each changed in a particular manner through the angle in which they are reflected from the planets; and, the radiation of each planet. This condition indicates that the frequency of solar radiation is much broader than just the light and heat spectra, covering the entire electro-magnetic spectrum from radio waves to cosmic rays.

We shall now proceed to examine the effects of this radiation in the light of economics and mass psychology.
 
 
Chapter Three: The Sun Spot Cycle
The Sun, as the center of the Earth's little niche in the Universe, is credited with being the source of all of our energy. The Sun is a star, although it is not the largest, or the brightest, or the hottest star, in the Universe. But it is the ruler of the solar system of which the Earth is one unit; and controls the motion of the Earth and all the other planets.

On the surface of the Sun, or its photosphere, often are seen dark spots, some of which are many times larger than the Earth. The occurrence of these spots was noted by the Chinese long before Galileo used his telescope in 1610. Hale found that at its center a Sun-spot has the properties of a huge bar magnet. Researches by Schwabe and then Wolf, which were followed by very systematic observations, show there is an increase and then a decrease in Sun-spot totality with a "regular irregularity" of about 11.2 years. (Handwritten note: "7 + 5 = 12") The interval varies in a range of about four years. The movement from maximum to minimum averages about 6.5 years, and the rise from minimum to maximum about 4.6 years.

In the extensive researches involving the business cycle, as indicated in the charted tabulation of the statistics of business activity over a long term of years, there is a distinct relation between the periods of prosperity and depression and the Sun-spot cycle. The work financed by the Harvard committee on research in social sciences has resulted in tracing this correlation from the 17th century South Sea Bubble down to the present year. The last Sun-spot cycle began with a minimum of...

The Sun and Market Movements | George Bayer (1939)

This is another pick from the wide spectrum of George Bayer's work and interests, written years before the ascend of modern space technology and space physics. It was not until the 19th century, some 200 years after Galileo's invention of the telescope and discovery of sunspots, that the systematic scientific study of the Sun began. During the second half of the 20th century, correlations reported between solar activity (as manifested in the changing sunspot number and in flares), disturbances in the Earth’s magnetic field, and auroral activity clearly suggested the existence of a physical connection between the Sun’s activity and terrestrial magnetic and upper atmospheric phenomena. 

The nature of this connection — one of the central themes of space physics became the subject of intense study and controversy during the first half of the 20th century. By mid-century, the prevailing theory involved ionized “corpuscular streams” from the Sun that traveled at speeds of 1,000 to 1,600 kilometers per second and within which the geomagnetic field formed a cavity. This picture was changed dramatically in the late 1950s when it was shown theoretically that the outer solar corona could not be static but must be continually expanding outward. The model of individual corpuscular streams was replaced by the modern concept of a continuous solar wind. Of fundamental importance for the field of solar-terrestrial research were the prediction and discovery during the first decade of the space age of a link between geomagnetic activity and the orientation of the magnetic field embedded in the solar wind (the IMF). During the ensuing decades, space physicists made significant progress in understanding this link, which involves the merging of the interplanetary and terrestrial magnetic fields and the consequent transfer of energy, mass, and momentum from the solar wind into the magnetosphere, often resulting in major disturbances of Earth’s space environment. See also HERE

Source:
George Bayer (1939): Preview of Markets for January 1940 (Vol. 1, No. 8); Carmel, California.

S&P 500 Index │ Extreme Fear │ Bounce next Week │ High around April 3

The S&P 500 touched the lower regression channel again.
While plenty of room remains to the downside,
the CNN Fear & Greed Index indicates "extreme fear". Time to buy?
No. Sell bounce next week (HERE) again around Apr 03 (Tue).

Source: CNN

Russell 2000 Index vs Delta Cycle | March 27 Low


Expect a Low on Mar 27 (Tue) - Mar 28 (Wed) followed by a bounce into Apr 03 (Tue).
See also HERE

Wednesday, March 21, 2018

Biblical Astrology | George Bayer

George Bayer was a financial astrologer and trader contemporary with W.D. Gann, producing his renowned market forecasts during the 1930s. Born in Germany, he moved to the United States shortly after 1900 to become a successful astrologer and commodity trader. Alongside Gann, George Maréchal, and Luther James Jensen, Bayer is regarded as one of the most innovative minds in the field of financial astrology.

He pioneered the application of numerous astronomical and astrological factors to financial markets, many of which he identified within the Bible. "Planets act as beacons on the banks of the river of time and attract price," he stated, sharing his astrological insights without the esoteric veiling that W.D. Gann famously employed in The Tunnel Through the Air. 
 
The following compilation of "Biblical Astrology," drawn from several of George Bayer’s 1935 newsletters, exemplifies his perplexingly unconventional thinking and inspiring approach:

Monday, March 19, 2018

Vernal Equinox | March 20 (Tue) Sun at 0° Declination and at 0° Longitude

Manly P. Hall (1928) - "As the zodiacal band marks the pathway of the Sun through the constellations, it results in the phenomena of the seasons. The ancient systems of measuring the year were based upon the Equinoxes and the Solstices. The year always began with the Vernal Equinox, celebrated March 21 [March 20, 2018 12:15 pm (EDT) = 0° declination and 0°Aries] with rejoicing to mark the moment when the Sun crossed the equator northward up the zodiacal arc. The Summer Solstice was celebrated when the Sun reached its most northerly position, and the day appointed was June 21. After that time the Sun began to descend toward the Equator, which it recrossed southbound at the Autumnal Equinox, September 21. The Sun reached its most southerly position at the Winter Solstice, December 21.

The seasonal variation of geomagnetic activity is related to the Earth's angle and position
towards the Sun: when the dipole is perpendicular to the solar wind flow, increase in geomagnetic
activity will occur around the equinoxes, and minima around the solstices (HERE)

Four of the signs of the zodiac have been permanently dedicated to the Equinoxes and the Solstices; and, while the signs no longer correspond with the ancient constellations to which they were assigned, and from which they secured their names, they are accepted by modern astronomers as a basis of calculation. The Vernal Equinox is therefore said to occur in the constellation of Aries (the Ram). It is fitting that of all beasts a Ram should be placed at the head of the heavenly flock forming the zodiacal band. Centuries before the Christian Era, the pagans revered this constellation. Godfrey Higgins states: "This constellation was called the 'Lamb of God.' He was also called the 'Savior,' and was said to save mankind from their sins. He was always honored with the appellation of 'Dominus' or 'Lord.' He was called the 'Lamb of God which taketh away the sins of the world.' The devotees addressing him in their litany, constantly repeated the words, 'O Lamb of God, that taketh away the sin of the world, have mercy upon us. Grant us Thy peace.'" Therefore, the Lamb of God is a title given to the Sun, who is said to be reborn every year in the Northern Hemisphere in the sign of the Ram, although, due to the existing discrepancy between the signs of the zodiac and the actual star groups, it actually rises in the sign of Pisces."


W.D. Gann knew the year actually begins on the Vernal Equinox (not on January 1st) and said this was a very important seasonal time also in the financial markets. He used geometrical divisions of the solar year (solar degrees of longitude and calendar days) to ascertain turning points in financial markets.

11°15' (= 360°/32 = 32nd harmonic), 22°30'
(= 360°/16), 45° (= 360°/8), 90° (= 360°/4), 135° (= 3 x 45°), 180° (= 360°/2), 225° (= 5
x 45° = 0.618 of the Solar Year), 270° (= 3 x 90°), and 315° (= 7 x 45°) Solar Degrees from the Vernal Equinox (= 0°Aries) are what he called Natural Trading Days. Though 15°, 22°30' and 45° also may coincide with changes in trend, Gann stressed the importance of the cardinal points (90°apart) and fractions of 8ths (11°15'). Gann also used multiples of 90°(squares) and 144° (= 12 x 12°), i.e. 90°, 180°, 270° etc. and 288°, 576°, 720°. Changes in market trends may also occur every 30°(= Sun moving into the next sign of the zodiac) or 11°15' (11-12 calendar days and multiples thereof) from any significant high or low in the marketSince the Sun moves at different speed, e.g. 90°not always equals exactly 90 calendar days. For exact calculations and projections an ephemeris is needed (e.g. HERE). The dates of the Vernal Equinox, Summer Solstice, Autumnal Equinox, and Winter Solstice slightly change over time (see HERE).
Because of the rotation of the Sun around the Earth, the spring equinox only falls
on Tuesday evening or Wednesday morning (the Jewish day begins at sunset) every 28
years. When the equinox does fall on Tuesday or Wednesday, a very special prayer is
to be recited. It is called Birkat Hachama, the “Blessing of the Sun.”

Celestial mechanics are also the reason for the flip of correlation between astro-indicators (Bradley Index etc., but also ‘space weather’-data like sunspots, solar flux, geomagnetic indices) and financial markets. The inversion of polarity oftentimes occurs in a time-window of +/- 2 weeks around the equinoxes and solstices. When the Sun periodically experiences significant increase in sunspots and solar flare activity, flares release energy in many forms, including electromagnetic energy and energetic particles such as protons and electrons. When this energy reaches the Earth, it interacts with the Earth’s magnetic field. This generates an electric current that flows through the Earth’s surface and affects electric power, satellite communication, oil pipelines and of course human brains, mood and actions.Three mechanisms were proposed to explain the seasonal variation of geomagnetic activity: 

(1)   The Axial Hypothesis established the fact that the geomagnetic variation was associated with changes of the Earth heliographic latitude. This indicates that the Earth would be favourable connected to the solar wind from the active solar regions resulting in an increase in geomagnetic disturbance. 
(2)   The second is the Equinoctial Hypothesis. It focuses on the angle when the dipole is perpendicular to the solar wind flow, increase in geomagnetic activity will occur around the equinoxes, and minima around the solstices. 
(3)   A third approach assumes that the Interplanetary Magnetic Field lies in its typical parker spiral configuration on solar equatorial plane, the southward component of the interplanetary magnetic field in the geocentric solar magnetospheric (GSM) coordinate system is increased when the angle between the z axis of GSM coordinate and the solar equatorial plane is minimum near the equinoxes. The southward component of interplanetary magnetic field is maximum in early April and October (HERE)

S&P 500 Index vs Delta Cycle | March 2018 Update