The moon’s orbit is the most complex of all the ten bodies under consideration[3]. 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 called the moon’s nodal cycle. Most people are familiar

with the moon’s full moon, new moon, or synodic cycle of 29.531 days[19]. Many have tried to

correlate it with market movements [16][13][18].

The moon has many other cycles. It moves closer to and further from the earth, in what is

called the moon’s anomolistic cycle, which is 27.554 days long. As the moon passes through

the ecliptic plane (the plane of the earth’s orbit) it crosses at it’s node, to form what is called 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

what is called the lunar tropical cycle of 27.321 days. There is also the motion from star to star,

which is called the sidereal cycle, of 27.322 days. Additionally, since the moon’s orbit is tipped

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 [20] points out the affect of this on tides,

weather, and earthquakes.

I have, I believe, discovered another lunar cycle which I call the lunar chaos cycle. This

cycle is shown pictorally in Figure 2.

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 owing 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. If either of these interior planets should line up with the sun,

earth, and moon just when the moon was high/low and full/new, their perturbations on the

moon’s orbit would also be maximized.

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 degrees inclination. This yields a lunar chaos function for each

planet. The equations are given in Figure C.

These equations give a maximum value when the planet and moon directly line up and

the moon is at maximum height above or below the ecliptic. They have zero values inside the

theorized envelope boundaries, giving us non-linear equations. It is well known that nonlinear

Traders World 332

equations can lead to systems that exhibit chaotic behavior [4] [7] .

# A Theory of Lunar Chaos

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