A Theory of Lunar Chaos

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

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