Showing posts with label Al Larson. Show all posts
Showing posts with label Al Larson. Show all posts

Thursday, March 14, 2024

A Lunar Chaos Theory | Al Larson

As the planets orbit the sun, they exert tidal forces upon the gases of the gun, much as the moon raises tides on the earth. The equation below describes these forces. Numerical solution of this equation reveals that Jupiter, Mercury, Venus, Earth, Mars, and Saturn are the most Influential, in that order. In Figure 1 shows this tidal effect caused by planets 1 and 2 rotating a gaseous portion of the sun's surface. These gas swirls cause several solar effects, including sun spots, coronal holes, and solar flares. All these effects combine to vary the amount of radiation that leaves the sun.
 

This solar radiation travels toward the earth in two ways, as direct radiation, such as sunshine and radio waves, and as particles, carried by the solar wind. This flow of charged particles forms a torrent of energy that blast spaceship earth, creating a bow wave and a wake just as a boat going upstream would do. This bow shock wave forms a magneto-pause between the earth and the sun. It interacts with the earth's magnetic field, shaping and adding energy to it. At the north and south poles, the charged particles follow the magnetic lines of force, and enter our atmosphere in a Polar Cap Absorption Event. This leads to the auroral oval, producing our Northern and Southern Lights.

The bow wave also creates an envelope about the earth, called the magnetosphere. As the solar wind flows past the earth, the magnetosphere forms a teardrop shaped envelope of trapped particles, ending in the magneto-tail. It is inside this envelope that the moon orbits. As the solar radiation varies, so does the earth's magnetic field, atmospheric ionization, and temperature. Scientists have tracked down a host of relationships between these events and a variety of earthly phenomena such as climate, weather, crime rates, plant growth rates, frequency of thunderstorms, blood PH levels, psychiatric emergencies, etc.  My own work has related these events to market action as well.


I believe there is also a third mechanism at work, one involving the moon. Let me explain: The moon's orbit is the most complex of all the ten bodies under consideration. While a planet's position may be accurately computed from an equation containing about nine or so terms, computing the moon's location to the same accuracy requires over 100 terms. Some of these terms are directly traceable to the pull of various planets and the sun on the moon. For example, there is a term related to Venus, our closest planetary neighbor. All these terms still do not describe a stable orbit, but one that rotates slowly In space, coming back to the same orientation in about 18.6 years. This is the moon's nodal cycle. Most people are familiar with the moon's full moon, new moon, or synodic cycle of 29.531 days. Many have tried to correlate it with market movements. The moon has many other cycles. It moves closer to and further from the earth, in what is the moon’s anomalistic cycle, which ls 27.554 days long. As the moon passes through the ecliptic plane (the plane of the earth's orbit) it crosses at its node, to form the moon's draconic cycle of 27.212 days (so named by the ancient Chinese who viewed this cycle as having the power of a dragon). Further, as the moon passes the earth’s equator, it forms the lunar tropical cycle of 27.321 days. There is also the motion from star to star, which is the sidereal cycle, of 27.322 days. Additionally, since the moon's orbit tips approximately 5 degrees, the observer on earth sees the moon 'ride high' or 'ride low' as it revolves in its orbit. The venerable Farmer’s Almanac points out the effect of this on tides, weather, and earthquakes.

I have, I believe, discovered another lunar cycle that I call the lunar chaos cycle. Figure 2 shows this cycle pictorially. My theory is that as the moon rides high and low, and moves closer and further from the earth, that the moon crosses the boundary between the ionized particles trapped in the moon's wake and the fast flowing solar wind. Figure 2 shows this possibly happening at two full moon positions (1 and 2) and two new moon positions (3 and 4). Such boundary crossings would lead to sharp disturbances in the earth’s magnetic field, affecting those of us who live within it.

A further perturbation can be theorized as well. This is the perturbation of the nearby planets Mercury and Venus. When the moon balances on the edge of the magneto-pause, a chaotic balance point exits. Either interior planet can tug the moon into the solar wind, tipping the balance just as Lorenz's Butterfly Effect tips the balance in weather.

[...] While at first it may be hard for the average buyer or seller of stocks and commodities to accept that his fortunes are controlled by a burning ball of gas and ten pieces of revolving rock, this study presents scientific evidence that this indeed may be true. The theory of lunar chaos does provide a rational explanation of possible cause and effect. The statistics of correlation, while they do not 'prove' the theory correct, are sufficiently strong to permit one to claim that this theory is possible.
 
Quoted from:
Al Larson a.k.a. Dr. Hans Hannula (1991) - A Lunar Chaos Theory.
In: Cycles, January/February 1991, Foundation of the Study of Cycles.
 
See also:

The Physics of the Seasonal Cycle | Al Larson

Any grade-school pupil can tell you when the seasons begin. In the northern hemisphere, generally, spring begins March 21, while summer begins June 21. Autumn begins September 23, and winter begins December 21. Actual dates may vary by one day in a particular year. So step one is simple.
 
The physical reason behind the seasonal cycle is the tilt of the Earth's axis. The 23.5-degree tilt of the Earth's axis causes more direct heating of the northern hemisphere in the summer, when the Earth tilts toward the sun. It causes less heating in the winter, when the Earth tilts away from the sun. This change in heating and cooling causes the seasonal weather patterns that we are familiar with.

 Charged particles from the sun form a teardrop-shaped envelope about the globe called magnetosphere.
 
Not so well known is the effect of the seasonal variation on the Earth's geomagnetic field. As the sun emits energy, charged particles flow outward, carried by the solar wind. As these particles sweep past Earth, they form a teardrop-shaped envelope around the globe called the magnetosphere.

There is a seasonal variation in two important parts of the magnetosphere. When the Earth tilts toward the sun in the summer, the charged particles can more directly flow into the north pole, where they affect the Earth's magnetic field. This effect is lessened when the Earth tilts away from the sun in the winter.
 
The second magnetic effect is on the magneto-tail, that part of the magnetosphere which streams away from the sunny side of the Earth. As the Earth tilts toward the sun, this tail "rides higher." As the Earth tilts away from the sun, the tail "rides lower." This affects how our moon, which moves in and out of the magnetosphere, interacts with the Earth's magnetic field.


So what does this have to do with stocks and commodities? Scientific evidence suggests that these fluctuations in the Earth's magnetic field affect humans. Studies show that magnetic field changes are linked to blood PH changes, which in turn cause mood swings. Perhaps the psychological mood swings of traders are also subject to these magnetic field changes.
 
More obviously, the seasonal cycle could be expected to affect crop prices, such as those of wheat, corn and other commodities. Similarly, with most businesses running on a quarterly profit cycle, seasonal variations in the buying and selling of materials and equipment can be expected. Thus, on both a fundamental and technical basis, a trader can expect season price variations in stocks and commodities.

To perform step 2, mark the dates of the cycle on a chart with solid dots, and place them above or below the price as you estimate that price is high or low relative to what it was approximately one-fourth cycle earlier. Points do not necessarily have to alternate between high and low. Now look for cycle "inversions." If two lows or highs occur in succession, the cycle has "inverted" between the points. A normal inversion point is halfway through the cycle.

Quoted from:
Al Larson (1991) - The Physics of the Seasonal Cycle.
 

Thursday, June 22, 2023

Energy Flow Theory & Financial Markets | Al Larson

As planets orbit the sun, they exert tidal forces upon the gases of the sun. These tidal forces cause swirling motions on the sun, creating sun spots, solar flares, coronal holes, and other energy events. All these effects combine to vary the amount of radiation that leaves the sun. That solar radiation is our sole source of energy. We are subject to every fluctuation in it. Solar radiation travels to the earth in two ways: as direct radiation, such as sunshine and radio waves, and as charged particles carried by the solar wind. This flow of charged particles forms a torrent of energy that blasts earth creating a bow wave and a wake, just as a boat going upstream would do. This bow shockwave forms a magnetopause between the earth and the sun. It interacts with the earth’s electromagnetic field, shaping and adding energy to it. At the poles, charged particles follow the magnetic lines of force into our atmosphere. This creates a charged layer called the ionosphere.


As this solar wind passes earth, it shapes our magnetosphere into a teardrop shaped envelope of trapped charged particles. As solar radiation varies so does the earth’s magnetic field, atmospheric ionization, and temperature. Scientists have tracked down a host of relationships between these events and a variety of earthly phenomena such as weather, climate, crime rates, plant growth rates, frequency of thunder storms, blood Ph levels, psychiatric emergencies, and many others.

As part of this activity the solar wind charges our ionosphere to a voltage of approximately +300,000 volts. This charged layer above the earth represents the positive end of a battery. When you stand on the ground you are standing on the negative end of this battery. This is the earth’s electric field that we all live in. When you stand erect, it places a voltage on the top of your head of about 240 volts. That is the same voltage as used by your oven element. Fortunately for us, this is not a high current power source. Otherwise, we would fry.
 
 
 
We are affected by this field. This voltage causes currents to flow through us as we live on earth. These currents are approximately 2000 times as strong as the biological currents that run our brain, our nervous system, our muscles, and our organs. All of our body’s electro-chemical systems are subject to the fluctuations in these currents. The ionosphere and the charges on it form a very dynamic system. Events such as solar flares can cause rapid and large changes in this voltage. Our biological circuits feel these changes. These changes can affect all our biological processes including our emotional moods. Scientific studies have shown that changes in ionization cause people to feel giddy to gloomy. These moods show up in the markets. It is well accepted that markets move in response to fundamental forces and investor psychology. A major finding of my work is that investor psychology is driven by the physical energy system. Those emotional rallies and declines are controlled by the currents that run through us. We call those currents emotions.


[...] I have related the timing and price level of market turns to these currents. I have exhaustively verified every link in this chain of cause and effect. I have developed a solid mathematical knowledge of how this energy flow controls pattern, price, and time in markets. While it is not possible in a chaotic system to make perfect predictions, I have been able to formulate a computer program called XGO which predicts markets with between 60% and 90% accuracy […] This S&P forecast has been running about 80% accurate over the past two months. It was computed over one year ago, and used no price data! It is simply a computation of the energy coming into the S&P. These forecasts can be made for any market, for any time in the future. This is a unique scientific technology.

Tuesday, June 20, 2023

L.H. Weston - Gann’s Professor | Hans Hannula

I've been told that Gann was very private about his office. He absolutely forbid anyone from entering it. He wanted to protect his secrets. But one document he kept in his safe. That document was a manuscript by Professor Weston of Washington, D. C. It was written in 1921 (part 1) and 1923 (part 2), four to six years before Gann published his Tunnel Thru the Air, Or Looking Back From 1940, Tunnel Thru the Air contains, in coded form, Gann’s explanation of how to use planetary cycles to trade stocks and commodities. 
 

He told his own family that it was all they ever needed to learn his market secrets. Many Gann students have labored very long and hard (yes, me, too) to decode Gann's writing. Gann loved to write in the abstract style of the Biblical mystics, whom he admired. Much of what is written in the Bible is information about planetary cycles. It is hidden in census counts, symbolic imagery, and heavily coded to escape notice of the casual reader. While one can dig out this material, it takes time, an ephemeris, and a lot of work. Gann had it much easier. What you are about to read is the paper Gann kept in his safe. 
 
Take your time and read it carefully. It’s one of the best papers ever written on the market. 
After you read it, I'll point out some interesting things about it.
 
 
[...] First, this is clearly the foundation of Gann’s use of the 10 year cycle, and its multiples. Second, this is historically a fairly early use of Fourier sequences, and far more mathematical than just using financial astrology. This is no surprise, since it is well known that Gann was a very good mathematician. It is also a source of many of his ideas that market movements follow geometric rules.
 

[...] It is also quite interesting that Weston actually proposed two different versions of the ten year pattern. The first is his computation, using 50 years of data, of a series composed of 20 , 28, 10, and 14 month components, to which he adds a Venus term. In this system he cites use of heliocentric positions. We'll call this first method "Weston’s Curve’.

A most interesting point made in this method is Weston’s discovery that the planetary cycles tend to slip to synchronize with the earth’s annual cycle. I discovered this in my own work, and was sure it was an original discovery. So much for that vanity!

The second method I call “Weston’s Snowflake.” In it he proposes a sequence of turning points in the Jupiter-Saturn cycle that divides it into 10 irregular parts. Interestingly, Weston claims that this is a geocentric system. We'll show in a moment that it was not. But this “false lead” may have been intended for those whom Weston feared would learn his secret. Gann obviously made good use of Weston’s methods.  


[... Weston used] the 0, 18, 54, 90, 126, and 180 degree points of the Jupiter-Saturn cycle as turns. One can quickly see the problem with using this geocentrically. Almost all of the points are triple points, as the earth moves around the sun, giving multiple views from which to measure the angle between Jupiter and Saturn. The problem becomes one of which points to use.

[...] It took only one look at using this rule heliocentrically to convince me that Weston used it that way. Obviously, W. D. Gann watched these outer configurations to be alert for the deviations they might cause in the Jupiter-Saturn cycle. You are advised to do the same.


 

Friday, June 16, 2023

Financial Markets & Seasonal Geomagnetic Field Variation | Hans Hannula

Any grade-school pupil can tell you when the seasons begin. In the northern hemisphere, generally, spring begins March 21, while summer begins June 21. Autumn begins September 23, and winter begins December 21. Actual dates may vary by one day in a particular year. So step one is simple.

The physical reason behind the seasonal cycle is the tilt of the Earth's axis. The 23.5-degree tilt of the Earth's axis causes more direct heating of the northern hemisphere in the summer, when the Earth tilts toward the sun. It causes less heating in the winter, when the Earth tilts away from the sun. This change in heating and cooling causes the seasonal weather patterns that we are familiar with.
 
Charged particles from the sun form a teardrop-shaped envelope about the globe called the magnetosphere.

Not so well known is the effect of the seasonal variation on the Earth's geomagnetic field. As the sun emits energy, charged particles flow outward, carried by the solar wind. As these particles sweep past Earth, they form a teardrop-shaped envelope around the globe called the magnetosphere.

There is a seasonal variation in two important parts of the magnetosphere. When the Earth tilts toward the sun in the summer, the charged particles can more directly flow into the north pole, where they affect the Earth's magnetic field. This effect is lessened when the Earth tilts away from the sun in the winter.

The second magnetic effect is on the magneto-tail, that part of the magnetosphere which streams away from the sunny side of the Earth. As the Earth tilts toward the sun, this tail "rides higher." As the Earth tilts away from the sun, the tail "rides lower." This affects how our moon, which moves in and out of the magnetosphere, interacts with the Earth's magnetic field.

Australian Government Bureau of Meteorology (2023):
The Seasonal Distribution of Geomagnetic Disturbances.

So what does this have to do with stocks and commodities? Scientific evidence suggests that these fluctuations in the Earth's magnetic field affect humans. Studies show that magnetic field changes are linked to blood PH changes, which in turn cause mood swings. Perhaps the psychological mood swings of traders are also subject to these magnetic field changes.

More obviously, the seasonal cycle could be expected to affect crop prices, such as those of wheat, corn and other commodities. Similarly, with most businesses running on a quarterly profit cycle, seasonal variations in the buying and selling of materials and equipment can be expected. Thus, on both a fundamental and technical basis, a trader can expect season price variations in stocks and commodities.


To perform step 2, mark the dates of the cycle on a chart with solid dots, and place them above or below the price as you estimate that price is high or low relative to what it was approximately one-fourth cycle earlier. Points do not necessarily have to alternate between high and low.

Now look for cycle "inversions." If two lows or highs occur in succession, the cycle has "inverted" between the points. A normal inversion point is halfway through the cycle.

Quoted from:
Hans Hannula (1991) - The Seasonal Cycle. In: Stocks & Commodities V. 9:11 (458-460).
 
 

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

Monday, March 3, 2014

Sunspots and Stocks - The Short-Term

Everything in the universe is constantly bathing in fluctuating electro-magnetic forces and fields that affect virtually every circuit in biological systems. Human physiological rhythms and global behaviors are not only synchronized with solar and geomagnetic activity, but disruptions in these fields can also create adverse effects on human health and behavior. Changes in geomagnetic activity are correlated with altered blood pressure, heart rate, melatonin levels, and increased occurrence of cancer, balance of hormonal system, reproductive system, cardiac and neurological disease, hospital admissions and mortality, as well as depression, fatigue, mental confusion, and traffic accidents. 

'Daily Sunspot Numbers' and 'F10.7 Flux' e.g. @ NASA's OMNIWeb
An important finding is that of all the bodily systems studied thus far, changes in solar activity and consequently geomagnetic conditions most strongly affect the rhythms of the heart. Of course electromagnetic fields generated by power supply systems, telecommunications, appliances, computers and other technology are extremely powerful and have similar effects on organisms.

In the late 1990s Jeffrey Owen Katz and Donna McCormick examined the effects of sunspots especially on the S&P 500 and Minnesota Wheat. They developed several profitable trading strategies generating entries and exits based on solar activity alone. However, they concluded: "We personally do not believe solar influences directly determine the market. We do suspect that they act as triggers for events that are predisposed to occur, or as synchronizers of already-present market rhythms with similar periodicities." Well ...

Sunday, August 12, 2012

Lunar Chaos Cycle | Al Larson

Al Larson (1991) - Basic Physical Mechanisms: Development of a physical theory of cycles begins with an examination of the solar systems construction. It is composed of ten very important chunks of rock that orbit a ball of burning gas, the sun. The nine planets and our moon are the big rocks. For eons, these rocks have proceeded relentlessly on their courses, carefully balancing the forces they exert on each other and on the sun, and vice versa.

 "Fully 76% of the Venus events coincided with highs and lows,
as did 84% of the Mercury events.
"
 
To date, two mechanisms have been proposed that could explain the effects of this system on earthly events. Theodor Landscheidt has presented many correlations between the solar system's center of mass and the outburst of solar flares. His theory states that, as the planets rotate, they shift the center of mass of the combined planet/sun system around. Al times, this center of mass actually moves outside the surface of the sun. As it passes the sun's surface, a chaotic boundary condition exists, resulting in outbursts of large solar fares [...] As the planets orbit the sun, they exert tidal forces on the sun's gases, much as the moon raises tides on the earth [...]  Jupiter, Mercury, Venus, Earth, Mars, and Saturn are the most influential, in that order. These gas swirls cause a number of solar effects, including sunspots, coronal holes, and solar flares. All these effects combine to vary the amount of radiation that leaves the sun. This solar radiation is carried toward the earth in two ways: 
  1. as direct radiation, such as sunshine and radio-waves, and 
  2. as particles carried by the solar wind. This flow of charged particles forms a torrent of energy that blasts spaceship earth, creating n bow wave and a wake, just as a boat going upstream would do.
This bow wave forms a magnetopause between the Earth and the Sun, and interacts with the earth’s magnetic field, both shaping it and adding energy to it. At the north and south poles, the charged particles follow the magnetic lines of force, and enter our atmosphere in what is called a Polar Cap Absorption Event. This leads to the auroral oval, producing our Northern and Southern Lights.

The bow wave also creates an envelope about the earth, called the magnetosphere. As the solar wind flows past the earth, the magnetosphere forms a teardrop-shaped envelope of trapped particles that ends in what is called the magnetotail. It is inside this envelope that the moon orbits.

As the solar radiation varies, so does the earth's magnetic field, atmospheric ionization, and temperature. Scientists have tracked down a host of relationships between these events and a variety of earthly phenomena such as climate, weather, crime rates, plant growth rates, frequency of thunderstorms, blood PH levels, psychiatric emergencies, etc. My own work has related these events to market action as well. I believe a third mechanism that involves the moon also is at work . 
 

A Theory of Lunar Chaos: I believe I have discovered another lunar cycle, which I call the “lunar chaos cycle.” My theory is that, as the moon rides high and low and moves closer and further from the earth, it crosses the boundary between the ionized particles trapped in the moon's wake and the fast-flowing solar wind. The figure at left shows boundary crossings at two full-moon positions (1 and 2) and two new-moon positions (3 and 4). Such boundary crossings would lead to sharp disturbances in the earth's magnetic eld, which would affect those of us who live within it. A further perturbation can be theorized, as well- the perturbation of the nearby planets, Mercury and Venus. When the moon's balanced on the edge of the magnetopause, a chaotic balance point exists. Either interior planet can tug the moon into the solar wind, tipping the balance just as Lorenz's Butterfly Effect tips the balance in weather patterns.

A Simple Mathematical Model: To test this theory, I created a simple mathematical model. This model computes the degree of exact alignment of a planet (either Mercury or Venus) with the Earth and Moon, and when the Moon is above or below 3° inclination. This yields a lunar chaos input function for each planet [see chart above].