Background: The Thoth Count

[Anibis]

Okay, MythMath asked me to detail my calendars. In a way, I've been building to this for a while, it's fundamentally the core of my work as a magician. I take the I Ching's claim that 'magicians are calendar makers' seriously. There is no more fundamental structural filter than a calendar.

Brief theoretical grounding: I propose that the natural world is made up of Time as a primary force (And not understood as being derivitive of space). All is becomming. There are no 'things' per sey except such that are given a contingent existence by receiving a name. Language as we use it creates nouns. In truth reality is a constantly evolving hypercomplex process. When human try to simulate these processes in an effort to create a domain in which they are in control, they begin by identifying a naturally occuring cycle or oscillation such as the Lunar, or Solar cycles. Once this is identified, all naturally occuring phases (Like the seasons, or the waxing and waning) are included. Then the critical jump occurs. The cycle gets aesthticized, or imbued with image and idea proper to the culture in question. A numerical overlay is placed upon the cycle. For example, in the case of the 365.4 day year, the Egyptians would divide it into 12, 30-day periods plus an additional 5 days, the Maya and Aztecs used a similar division only with 18, 20-day periods (The Haab) + 5 extra days. The druids used 13, 28 day periods and had a single extra day. The Julian/Gregorian Calendars use, as we know 12 months of varying day lengths.

The point here is that the natural cycle is primary, and then a division of that cycle is made along aesthetic/mythical lines. Also, there is at least one calendar that is not mapped onto a physical cycle: the Tzolkin of 260 days is, as far as I can see purely abstract, however it ends up functioning with a natural cycle by being combined with a natural calendar such that it meshes! The 13/28+1 count has an interesting relationship with the Tzolkin, because it engenders a 52 years cycle. If today is (and it is) 6 serpent in the Tzolkin, and (it is) the 13th day of the 4th moon (which will always happen at this time of year, since the 13-28 is actually keyed to the earthly cycle around the sun), then we know that this will not happen again until 52 years from now! And so, for every 73 tzolkin cycles, there are exactly 52 year cycles. This is an example of calendrical symbiosis!

In order to construct a calendar, you really need to know at least three key pieces of information. First you need to know what you are building the calender around. This is usually (always?) a celestial object orbiting another (it's axis) with a regular period. Next, you need to know the length of that period, if it is, say 364.25 days, or 29 days, or 88 days, or whatever. Finally, you need to know where the NODES of that object are.

'Node' is the astrological term for what is basically the equinox of a planet. An equinox is the same, ultimately as the dawn or dusk of a day, only applies to the whole year (I think this is an important analogy to bear in mind since it helps give a sense of how the cycles flow). For those of you who dont know, nodes of an object only appear when you measure that objects rotation relative to a primary object around which it rotates. In other words, the earth's nodes are only meaningful in relation to the sun, and the moons nodes are only meaningful in relation to the earth. Similarly the Sun's nodes could be known in relationship to the galactic centre. Basically if you have any object with poles, it has an equator. If we project that equator outwards from the object into space, it forms an imaginary disk. This is called the 'ecliptic'. any object rotating around the primary object will be moving in an elipse at some particular inclination to the ecliptic. This is what regulates the seasons. The equinoxes are the two points where the path of the object intersect with it's primary's ecliptic. There are thus two such points, and they are opposite one another in the object's orbit. The node which marks the planets passing 'upwards' (ie towards the North pole of its Primary) is called the North Node, and the point at which it travels 'downwards' is called the South Node. The first is The Spring Equinox, and the second, the Autumnal equinox.

To make a calendar, then, you simply have to know what the object is, how long it's year is, and when it's seasons are. Then, depending on the length of year, you can impose an algorythm onto the cycle which divides it into symbolically significant regions. In other words, once this is done, the orbit of the object is such that it 'charges' an array of symbolic regions which have been scripted onto it's orbit!

Okay, this is 101 material. Next, I will be describing the system which I have devised called the Thoth count, which is based on Mercury's orbit. I have chosen to put it here, in Abrahadabra Modern rather than in the Psionics board since, as I will demonstrate, the Thoth count is intimately related to Abrahadabra.

-Ibisis-

P.S. How do you find out all this information? Well, for the earth it is well known, for the moon it is marked in any ephemeris (as Caput and Cauda Draconis, perhaps), and for the other planets in our system, I refer you to 'The American Heliocentric Ephemeris 2001-2050', By Michelsen and Peters, published by ACS Publications, 1996. The perios of the planets can be found in lots of places. NASA has very accurate listings...

[MythMath]

Excellent stuff...

UP NEXT:

Swiftly tickling the eighty-eights...:cool:

[Anibis]

88. Precisely. The nice thing about Mercury, which is so absurdly congruent with all it's number symbolism is that it has an 88 day cycle. Not only that, but it has, pretty much an exactly 88 day cycle. This means that we can dispense with Leap years and just tackle the number 88.

Okay. So we know that Mercury's node is in the 18th degree of Taurus (from the Heliocentric Ephemeris). We know the date (I'll get to this). How do we track the count? Well I imagine this is a bit of a no-brainer for you, but I will spell it out. The 88 Day Mercurial count runs the gamut of the 22 Tarot trumps 4 times. One for each Qabalistic world. In addition each of these four seasons has 11 days where the energy mounts, and 11 days where it descends. We can follow this on the TwinStar, or on the conventional Abrahadabra triangle as is is built in 11 days, then reduced to naught in 11 days.

So: The Thoth count has 4 seasons of 22 days, and 8 cycles of 11 days. Ritually this affords alot of leeway in terms of daily practices which focus on Pathworking, on the 8 directions (PaKua) and on the abrahadabra/twinstar/tetractys relationship. Anyone willing to come up with some ritual ideas? Alternate numberings based on 4-day sets, 2 days sets?

Here's how I work the Tarot with the Thoth Count. I consider there to be two currents. One by day, one by night. In the case of the first season, day one is Atu 0, Night one is ATU XXI, Day two is ATU I, Night two is ATU XX. this continues such that the two currents pass one another at the central axis between ATU XI (Justice) and ATU X (Fortune). This switch is the point where the Abrahadabra grid has been fully emenated in 11 stages, and switches to the phase of being 'reduced back to naught, which the second half of the season expresses. I term this point 'the pivot of Maat'. When the full season is complete, the Day has gone from 0 to XXI and the night from XXI to 0. The first Season is associated to Fire (The four seasons are in standard Tetragrammaton order), the Second to Water. In this second season the day's energy which has come down to XXI travels back upwards to 0, and the night's, back down to XXI. This tidal logic sontinues through all four seasons and beyond into the next year. In the four seasons the polarity switches from Masculine to Feminine, to Masculine to Feminine, as per the YHVH order of 'Four Worlds'. The tarot set which sigilizes each path is here (http://forums.abrahadabra.com/showpost.php?p=2939&postcount=15).

Okay, so this is the basic nature of the 'intra-annual' cycles, That is the structure and design of the calendar, internal to one year. There are also patterns which occur across the years, and consolidate the 'chronometer' over larger spans of time. News at 11...

-Ibisis-

[Anibis]

Okay, well so far I have described the intra-annual features of the TC. The extra-annual structures follow.

Besides being a perpetual bi-directional pathworking which continually iterates the abrahadabra formula and attendant hexagramatics, the years themselves are arranged in a particular way.

Firstly, they are grouped in sets of four, in the same fashion as the months; the Tetragrammaton order. As 4x88=352, the Thoth 'set' or 'cluster' (as opposed to the 'Thoth Year') is just 13 days shy of a 365 day Earth-year. Such a set is considered as a single unified atom. I have decided upon 9 of these Thoth Clusters, such that each may be assigned to one of the houses of the Lo Shu. Thus, a full run of Thoth Clusters takes place in approximately 8.7 Earth years.

I have stipulated that 4 such 9-fold cycles (34.6 Earth Years) forms a Grand set, and 1000 of these would form an "Aleph".

This is the Thoth count as I have developed it so far. It occurs to me now, that in order to really articulate the Lo Shu element of it, I might wish to consider the following addition: That the 9 fold logic of the Lo shu be pushed further, to 81, and 729 fold extensions. In this way, then, we are talking about a 78.06 Earth year cycle, and ultimately a 702.55 EY cycle. There is no reason why we cannot observe these, and other cycles occuring silmultaneously over these stretches of time.

We can thus detect changes of tone in the Calendars energy as it approaches the significant boundary points: 1 Cluster, 3 Clusters, 6 Clusters, 9 Clusters, and so on...
I think I'd better leave this to settle now, so that everyone 'gets' it. Enough to say that the fact that it is grounded extra-annually in the Lo Shu is enough to give it a self charging effect, like a metaphysical battery, and the the fact that the Lo Shu can be applied to Tetractys as has been discussed elsewhere in this site gives it another point of concord with the Abrahadabra Formula. News at 13...

-Ibisis-

[Anibis]

Okay, before going too much further, I should point out a connection between this thread and this (http://forums.abrahadabra.com/showthread.php?t=335) one. Through the 13Fold twinstar, I can set up a structural resonance between the Thoth Count and the Tzolkin. In my minds eye, it is almost like the TC is a little octahedral crustal which ejects a rainbow aura: that aura is the Tzolkin resonance. The idea is to establish a symbiosis between the two counts, where TC is highly compressed and energetic, and it dwells in and feeds energy to the much more extensive and 'Cosmic' Tzolkin. And this is how Abrahadabra met Quetzcoatl. AHA!

-Ibisis-

[MythMath]

http://upload.wikimedia.org/wikipedia/en/8/83/Perihelion_precession.jpg

Stylized and exaggerated picture of the precession
of the orbit of a planet around the sun.

[from Wikipedia...]

[fr.novumorganum]

I'm not sure I understand all of this yet, but it sure does feel right

[m1thr0s]

yeah...if beauty=truth we may have a winner...spectacular image somehow...

m1thr0s

[Anibis]

Cool. Then there is really only one last peice of business here; The actual notation system, and dates. The TC was launched on the 19th of December in the Gregorian year 2003. That day was 1:1. Obviously, the first day of the next year (which started 88 days later, on March 16th) was 2:1 and so on... Internal to the years, I sometime will note it simply like 1:67, for the start point of the 3rd season, or in extending it, I'll say 1:3:1 understanding the first digit to count years, the second to count the 4 seasons, and the 3rd to count up to 22 days. Simple system.

Today is 12:81, or 12:4:15. This means that next Thursday, the ninth is 13:1:1.
In particular it is significant not just because it marks the change of a year, but that it marks the shift from the opening 3 clusters to the middle three. In the Lo Shu, we are going into place 4. Time for a Change.

This is also you will note, the most complete working description that I have actually published anywhere, and part of that is due to the fact that I recognize that the wavelength of the TC is about to shift. I hope I can get some other minds working with it.

You will find that the single most powerful feature of a calendrical system is it's capacity to get a community synched along certain productive lines. Calendrics is a very social technology, as can be witnessed by anyone who has a look at Arguelles legacy. Okay, bye for now.

-Ibisis-

P.S. I think the next thing this needs is graphics an a simple tracking program, so I don't have to keep doing it in my head all the time. Or for that matter a printable calendar. Hmmm Ideas...

[Anibis]

yeah...if beauty=truth we may have a winner...spectacular image somehow...

m1thr0s

That's an interesting proposal in itself. Ultimately, I'm not sure I accept beauty as the mark of truth in all circumstances, per say, since there are many circumstances when what appears to be beautiful is actually not. Even so, maybe we can distinguish 'true beauty': the sort that is not just 'in the eye of the beholder'. Again this is difficult since truth and beauty are both somewhat malleable on the social level and yet, also appear to be something to which we are exposed in a way which we cannot just toggle on or off. I think for example of the beauty of certain mathematical structures as the Lo Shu, or the beauty of a big fat maggot (which is sometimes hard to see), or a fern. In any account, I find it difficult either to completely assert that beauty=truth or for that matter, totally deny it. In the case of distributive energy systems (especially astral/virtual ones), something has to be said for elegance and symmetry of design.

So I guess I can say right off the bat that the TC is a piece of engineering. So why does it have a claim to truth? On the fact that it is elegant alone? I'd say they're is more to it than that. I think that the elegance of it suggest that it is a healthy system, but there are plenty of contending calendrical systems that lacking the beauty of symmetry are nometheless pretty effective of giving birth to some types of truth...

I guess that's it. I have a harder time talking about 'Truth', than truths.... Certain truths are, IMO more worth cultivating than others... SO it's really (as all magical systems IMO are) a system for distributing and allocating the faculty of attention, or mindfulness. A calendar done well should guide how and what we unconsiously pay attention to.

So what truths does TC cultivate, how does it do so, and why does it work?
Tune in next time, for another exiting episode of 'Watch Ibisis rant about stuff...'

-Ibisis
:cool:

[MythMath]

I think the next thing this needs is graphics...

Or for that matter a printable calendar.

Hmmm Ideas...

Let's do it...

Do you have any rough graphs of it, thus far...?

[Anibis]

Not exactly. It follows the paths of the tree so I map it out that way in my mind. I guess the best way to portray it is as a circle of 88 divisions, divided into 4 quadrants... That would be just the one year. They cluster in fours... and those clusters are grouped in nines. I'll sketch something out, but if you can think of a neat way to portray it (there's lots of options, I'd love to see it. Remember the big day for this is Thursday coming...
-Ibisis

[MythMath]

Do you recommend any specific colors
that could be assigned to represent the
various elements involved in the design...?

Such as for the four seasons...?

And, would those same four colors
be appropriate to respectively
represent each year in a cluster...?

Stuff like that...
_____________________

I've got some thoughts on how to structurally
arrange each year 2-dimensionally,
based on your suggestions...

And also how to show the clusters,
groups, etc. using 3-dimensions...

I'll do some roughs this week
and post them when I finish...

[Anibis]

Okay, well, have a look here (http://forums.abrahadabra.com/showpost.php?p=4228&postcount=21). I usually use this glyph as the main expression of the TC. I envision Day 1 (atu 0/xxi) on the outward ring, then proceed inward. At day 11 Atu X, It reaches the innermost ring, then on Day 12/AtuXI it starts to move outwards again. Sistole and diastole, Inhalation and exhalation. The alignment of the Labyrinth is important. Firstly, the direction faced is related to the season, In YHVH order. I typically use the standard (enochian) fire(s) water(w) Air(e) and Earth(n), order. maybe someone has a better method (M1thr0s?). I am flexible on this matter. So there is a labyrinth for each of the four seasons, but they are really just rotations of 1 labyrinth. Also the labyrinth runs either widdershins or diosil. I determine this by the direction of the first bend, upon entry. If it goes to the left, then it's wid. if to the right, dio. Thus by day I use dio (NOT Ron James, tyvm!), and by night wid. SO there are 8 possible Labyrinths if you are using the four directions. When you look at the figure, think og each quadrant as having an 11fold inhalation and an 11fold exhalation. There's your four seasons. If you do up the calendar, it might be nice to express that 'onionskin effect' somehow.
-Ibisis-

[MythMath]

I had this sneaky feeling when I saw you post the Chartres
labyrinth that this was all going to come together...:yes:

I've been having labyrinths pop into my reality several
times in the past weeks, so I'm not at all suprised...;)

[Anibis]

Slow and steady... heh heh heh...
-Ibisis

[Anibis]

Well, one way to depict it in large scale it would be to have the Tetractys, and in each of it's 9 chambers a set of four labyrinths facing NSEW and color coded. There would be two, either side by side, or one atop the other (Interlaced is ideal, but I cannot see how you would achieve this in a workable calendar). One is point up (Dayside) the other is point down (Nightside). The main difference here being that the labyrinths would be 'rotating' diosil in the upright tetractys triad, and widdershins in the 'downright' version. How to actually allocate them to the chambers? I believe we have some options I'll draft up a possible map... This map could be the master glyph and then we could break it down in a number of ways. (If each set of 9 clusters is doubled into a hexagram, and there are 4 such hexagrams. Then a MUCH larger scale Labyrinth exists with those four hexagrams (Considered in their full extension as the Abrahadabra grid) straddle the Labyrinth in the four sectors. It might also be considered that the entire figure be drawn up as regards to just concentric circles (without the Labyrinthine pattern). this would cover the 'general case'.... Okay. Dizzy yet?
-Ibisis

Oh, and to be pretty, the 'cluster's might well be done with a 'double-lemniscate'. so an 'eight' crossed with a 'infinity symbol', like a rosette. Then the four labyrinths (or eight!) could be inside the loops of that figure. It would be pretty!

[Anibis]

Well, it's New Years! Enter TC:13:1:1. PTah!
-Ibisis

[Anibis]

Here's one. Toaday I learned that the sound 'Ba Ba' in Mandarine means '88' and 'Father'. A good way to start this phase of the TC, I think!
-Ibisis

[MythMath]

Found a few 'very close proportional agreements' between
Mercury and Earth in Sacred Geometry by Miranda Lundy...

So I made a graph:

[Anibis]

Very cool, but I'm not sure I quite get it. A little sleep deprived, I am...
-Ibisis

[MythMath]

The geometry of both the penta- and octal-stars
reveal the proportional relationships between
earth's orbit and mercury's...

And also, the proportional relationships
between earth's diameter and mercury's...

MM

[Phoenix]

The geometry of both the penta- and octal-stars
reveal the proportional relationships between
earth's orbit and mercury's...

And also, the proportional relationships
between earth's diameter and mercury's...

MM

Hello gentleman

Have you seen the the proportional relationships between earth's orbit and Venus?

http://upload.wikimedia.org/wikipedia/en/f/f2/Orbit2.gif (http://en.wikipedia.org/wiki/Image:Orbit2.gif)

Planetary orbits

Within a planetary system, planets, dwarf planets, asteroids (a.k.a. minor planets), comets and space debris orbit the central star in elliptical orbits. Any comet in a parabolic or hyperbolic orbit about the central star is not gravitationally bound to the star and therefore is not considered part of the star's planetary system. To date, no comet has been observed in our solar system with a distinctly hyperbolic orbit. Bodies which are gravitationally bound to one of the planets in a planetary system, either natural or artificial satellites, follow orbits about that planet.
Due to mutual gravitational perturbations, the eccentricities of the orbits of the planets in our solar system vary over time. Mercury, the smallest planet in the Solar System, has the most eccentric orbit. At the present epoch, Mars has the next largest eccentricity while the smallest eccentricities are those of the orbits of Venus and Neptune.
As two objects orbit each other, the periapsis is that point at which the two objects are closest to each other and the apoapsis is that point at which they are the farthest from each other.
In the elliptical orbit, the center of mass of the orbiting-orbited system will sit at one focus of both orbits, with nothing present at the other focus. As a planet approaches periapsis, the planet will increase in velocity. As a planet approaches apoapsis, the planet will decrease in velocity.

See also:

Kepler's laws of planetary motion (http://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion)
Variations séculaires des orbites planétaires (http://en.wikipedia.org/wiki/Variations_s%C3%A9culaires_des_orbites_plan%C3%A9t aires)Understanding orbits
There are a few common ways of understanding orbits.

As the object moves sideways, it falls toward the orbited object. However it moves so quickly that the curvature of the orbited object will fall away beneath it.
A force, such as gravity, pulls the object into a curved path as it attempts to fly off in a straight line.
As the object falls, it moves sideways fast enough (has enough tangential velocity) to miss the orbited object. This understanding is particularly useful for mathematical analysis, because the object's motion can be described as the sum of the three one-dimensional coordinates oscillating around a gravitational center. As an illustration of the orbit around a planet (eg Earth), the much-used cannon model may prove useful (see image below). Imagine a cannon sitting on top of a (very) tall mountain, which fires a cannonball horizontally. The mountain needs to be very tall, so that the cannon will be above the Earth's atmosphere and we can ignore the effects of air friction on the cannon ball.

http://upload.wikimedia.org/wikipedia/en/thumb/c/cc/OrbitingCannonBalls.png/300px-OrbitingCannonBalls.png (http://en.wikipedia.org/wiki/Image:OrbitingCannonBalls.png)

If the cannon fires its ball with a low initial velocity, the trajectory of the ball will curve downwards and hit the ground (A). As the firing velocity is increased, the cannonball will hit the ground farther (B) and farther (C) away from the cannon, because while the ball is still falling towards the ground, the ground is curving away from it (see first point, above). If the cannonball is fired with sufficient velocity, the ground will curve away from the ball at the same rate as the ball falls — it is now in orbit (D). The orbit may be circular like (D) or if the firing velocity is increased even more, the orbit may become more (E) and more (F) elliptical. At a certain even faster velocity (called the escape velocity) the motion changes from an elliptical orbit to a parabola, and will go off indefinitely and never return. At faster velocities, the orbit shape will become a hyperbola.

See: Newton's laws of motion (http://en.wikipedia.org/wiki/Newton%27s_laws_of_motion) and gravity (http://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation).

Orbital decay

If some part of a body's orbit enters an atmosphere, its orbit can decay because of drag. At each periapsis, the object scrapes the air, losing energy. Each time, the orbit grows less eccentric (more circular) because the object loses kinetic energy precisely when that energy is at its maximum. Eventually, the orbit circularises and then the object spirals into the atmosphere.
The bounds of an atmosphere vary wildly. During solar maxima, the Earth's atmosphere causes drag up to a hundred kilometres higher than during solar minimums.
Some satellites with long conductive tethers can also decay because of electromagnetic drag from the Earth's magnetic field. Basically, the wire cuts the magnetic field, and acts as a generator. The wire moves electrons from the near vacuum on one end to the near-vacuum on the other end. The orbital energy is converted to heat in the wire.
Another method of artificially influencing an orbit is through the use of solar sails or magnetic sails. These forms of propulsion require no propellant or energy input, and so can be used indefinitely. See statite for one such proposed use.
Orbital decay can also occur due to tidal forces for objects below the synchronous orbit for the body they're orbiting. The gravity of the orbiting object raises tidal bulges in the primary, and since below the synchronous orbit the orbiting object is moving faster than the body's surface the bulges lag a short angle behind it. The gravity of the bulges is slightly off of the primary-satellite axis and thus has a component along the satellite's motion. The near bulge slows the object more than the far bulge speeds it up, and as a result the orbit decays. Conversely, the gravity of the satellite on the bulges applies torque on the primary and speeds up its rotation. Artificial satellites are too small to have an appreciable tidal effect on the planets they orbit, but several moons in the solar system are undergoing orbital decay by this mechanism. Mars' innermost moon Phobos is a prime example, and is expected to either impact Mars' surface or break up into a ring within 50 million years.
Finally, orbits can decay via the emission of gravitational waves. This mechanism is extremely weak for most stellar objects, only becoming significant in cases where there is a combination of extreme mass and extreme acceleration, such as with black holes or neutron stars that are orbiting each other closely.

Earth orbits

Low Earth orbit (http://en.wikipedia.org/wiki/Low_Earth_orbit)
High Earth orbit (http://en.wikipedia.org/wiki/High_Earth_orbit)
Intermediate circular orbit (http://en.wikipedia.org/wiki/Intermediate_circular_orbit)
Geostationary orbit (http://en.wikipedia.org/wiki/Geostationary_orbit)
Geosynchronous orbit (http://en.wikipedia.org/wiki/Geosynchronous_orbit)
Geostationary transfer orbit (http://en.wikipedia.org/wiki/Geostationary_transfer_orbit)
Molniya orbit (http://en.wikipedia.org/wiki/Molniya_orbit)
Near equatorial orbit (http://en.wikipedia.org/wiki/Near_equatorial_orbit)
Polar orbit (http://en.wikipedia.org/wiki/Polar_orbit)
Polar sun synchronous orbit (http://en.wikipedia.org/wiki/Polar_sun_synchronous_orbit)Rosetta (orbit)

From Wikipedia, the free encyclopedia

This article is about a type of orbit (http://en.wikipedia.org/wiki/Orbit); for other uses, see Rosetta Stone (disambiguation) (http://en.wikipedia.org/wiki/Rosetta_Stone_%28disambiguation%29). http://upload.wikimedia.org/wikipedia/en/thumb/5/56/Mod3_q13_3.jpg/200px-Mod3_q13_3.jpg (http://en.wikipedia.org/wiki/Image:Mod3_q13_3.jpg) http://en.wikipedia.org/skins-1.5/common/images/magnify-clip.png (http://en.wikipedia.org/wiki/Image:Mod3_q13_3.jpg)
Rosetta Orbit (image courtesy NASA (http://en.wikipedia.org/wiki/NASA))




A Rosetta orbit is a complex type of orbit. Theoretically, an object approaching a black hole with an intermediate velocity (not slow enough to spiral into the hole and not fast enough to escape) will enter a complex orbit pattern, bounded by a near and far distance to the hole and tracing an oscillating pattern known as a hypotrochoid (http://en.wikipedia.org/wiki/Hypotrochoid).
In quantum mechanics (http://en.wikipedia.org/wiki/Quantum_mechanics), the Rosetta orbit is a solution for spherically symmetric (http://en.wikipedia.org/wiki/Particle_in_a_spherically_symmetric_potential) but not 1/r potentials.

http://sunearth.gsfc.nasa.gov/sunearthday/2004/2004images/VT_Activity3.pdf (http://sunearth.gsfc.nasa.gov/sunearthday/2004/2004images/VT_Activity3.pdf)

here is another taste of the matter,


Proving the Extraordinary Nature
of Solar Geometry

Consider the relative values for planetary distances provided by Solar Geometry when Mercury equals 1:
PlanetCalculated
Value from
Solar GeometryMercury1.0000000000000Venus1.8660254037844 Earth2.5833057115410Mars3.9364580433138Jupiter13.4 399084391945
These values produce some absolutely astonishing relationships between Earth and the other planets. Keep in mind that the following relationships are not approximations. When computed using values from the Solar Geometry calculations (http://evolutionoftruth.com/abennett/DistCalc.htm) for each planet they produce exact mathematical equalities.
The Earth - Venus Relationship

In the Bible, seven is a sign of completeness, from its first appearance in Genesis in the seven days of creation to Revelations, where it appears sixty times. Consider this relationship between Earth and Venus:
( Earth 4 / Venus 3 ) + ( Venus 3 / Earth 4 ) = 7
The Earth - Mars Relationship

This theme of sevens, or two times seven, continues in the relationship of Earth to Mars:
( Mars 4 / Earth 3 ) + ( Earth 3 / Mars 4 ) = 14
The Earth - Jupiter Relationship

It has long been thought that the ancients considered 6 to be the perfect number because 1+2+3=6 and 1*2*3=6. In this relationship, one also finds the union of 1, 2 and 3, the trinity. Or could, perhaps, the real answer be found in the following relationship?
Earth ¾ * ( Ö1 + Ö2 + Ö3 + Ö6 ) = Jupiter
Note: Öx indicates the square root of x
The Earth - Venus - Jupiter Relationship

This relationship relates the Earth to both Venus and Jupiter:
Earth ¾ * ( Ö(4 * Venus) + Ö(8 * Venus) ) ) = Jupiter
Relationships Based on Orbital Periods

The use of the ¾ power (http://evolutionoftruth.com/abennett/34power.htm) in the formulas for Earth and Mars may seem like a creative invention, but it's a direct result of the laws of planetary motion (http://evolutionoftruth.com/abennett/Kepler.htm), which state that the square of a planet's orbital period is proportional to the cube of its average distance from the Sun.

Understanding this, we discover that Venus, Earth and Mars are related to each other like the gears of a precisely calibrated clock:
Distance of the Earth = Ö Period of Venus * Phi (http://evolutionoftruth.com/abennett/EarthPhi.htm)
and
Distance of Mars = Ö Period of Earth * Ö Diameter of Venus' Orbit
Click HERE (http://evolutionoftruth.com/abennett/34power.htm) for details.
Relationships between Other Planets

As shown on the Geometries (http://evolutionoftruth.com/abennett/Geometry.htm) and Calculations (http://evolutionoftruth.com/abennett/DistCalc.htm) pages, each planet has a unique geometric relationship to the one before it. By the time you get to Jupiter, the accumulation of these relationships results in an elegant, but reasonably complicated set of integers, roots, exponents, multiples and additions. Despite this, our solar system still has an underlying foundation that reveals beauty, simplicity and symmetry:
Jupiter = Ö2 * Mercury at Aphelion * Ö2 * Mars * Ö2
The Earth - Moon Relationship

http://www.solargeometry.com/images/eclipse.gif (http://evolutionoftruth.com/abennett/lunarevi.htm)Although not part of Solar Geometry, even our moon exhibits an unusual relationship to the Earth. Its orbital period times seven-squared, or 49, is 1447, a prime number. In addition, solar eclipses are only possible because of the very unique relationship between its size and distance from the Sun and the Earth. (Click HERE (http://evolutionoftruth.com/abennett/lunarevi.htm) or on photo for more.)

http://buzz.smm.org/buzz/buzz_tags/planets (http://buzz.smm.org/buzz/buzz_tags/planets) - for a more "in-dept aproach"


The Venus Transit 2004

Printable Page: html (http://vt-2004.hq.eso.org/Background/Infol2/EIS-D3_pf.html) PDF (http://vt-2004.hq.eso.org/Background/Infol2/EIS-D3_pf.pdf)



Venus' orbit and visibility - day, night and seasons on Venus

With a mean distance of about 108 million kilometres or 0.72 AU, Venus is the second closest planet to the Sun and our nearest planetary neighbour. Its orbit about the Sun takes 225 days with its distance from the Sun being almost three-quarters of the Earth's.



http://vt-2004.hq.eso.org/Background/Infol2/vt2004-if11-fig1.jpg (http://vt-2004.hq.eso.org/Background/Infol2/vt2004-if11-fig1.jpg)
Venus and its position in the solar system

The Earth's sister planet revolves around our central star in an elliptical orbit that is the most circular of any planet. The difference between its aphelion (the orbital point farthest from the Sun) and perihelion (the orbital point where a body is closest to the Sun) is only 1.5 million km, which gives its orbit an eccentricity - that is the ratio of the distance between the foci of an ellipse to the length of its major axis - of 0.007, the lowest of any planet. For comparison, the eccentricity of the Earth's orbit is 0.0167. The inclination of the Venusian orbit to the plane of the Ecliptic (the Ecliptic is the projection of the Earth's orbit onto the celestial sphere) is about 3° 24'.



http://vt-2004.hq.eso.org/Background/Infol2/vt2004-if11-fig2.jpg (http://vt-2004.hq.eso.org/Background/Infol2/vt2004-if11-fig2.jpg)

The inclination of the planetary orbits to the plane of the Ecliptic


With an orbital speed of about 35 km/s (the Earth moves at 30 km/s), the siderial and synodic periods of Venus are about 225 and 584 days respectively. The term "siderial period" means the interval of time one body needs to complete one revolution around another body with reference to the stars and the "synodic period" is the interval of time until Venus is again in the same position relative to the Sun, as seen from the Earth. The orbit of Venus which lies inside the Earth's orbit takes it closer to Earth than any other planet. So Venus can be very easily seen from the Earth. It is often called the Morning or Evening Star and it is often the brightest object in the sky, with the exception of the Sun and Moon. At its brightest it reaches magnitude -4.7, far brighter than any other planet. The phases of Venus


Like all other planets, including our own Moon, Venus shines by reflected sunlight. Moreover, as its orbit is inside the Earth's, Venus displays phases which are very similar to those of the Moon. Galileo Galilei was the first astronomer who discovered this phenomenon by using a telescope and it helped him to confirm that the planets are bodies like the Earth. The entire set of Venusian phases could not be explained with the Ptolemaic Earth-centred system. The main difference is that, because of the changing distance between Earth and Venus, its apparent size changes considerably more than does the Moon's.

http://vt-2004.hq.eso.org/Background/Infol2/vt2004-if11-fig3.jpg (http://vt-2004.hq.eso.org/Background/Infol2/vt2004-if11-fig3.jpg)

Phases of Venus Another difference between the phases of Venus and the Moon is that, seen from the Earth, it is not normally possible to observe Venus when it is "full" because it is then on the other side of the Sun (at superior conjunction, see below) and located very close to the Sun in the sky. Venus is brightest when it appears as a crescent. That is the case when Venus is in the evening sky and it appears to move from its maximum distance, called "greatest elongation", back towards the Sun. When it appears in the morning sky, it is brightest before greatest elongation.
Configurations of Venus

Venus is the closest planet to the Earth at inferior conjunction, a distance of 42 million km. The term "inferior conjunction" refers to the configuration when an inner planet passes between the Sun and the Earth. Venus appears in front of the Sun in the sky and it can sometimes happen that Venus transits the Sun's disk. But it is a rare phenomenon, because it occurs only when Venus is at inferior conjunction close to one of its nodes (See: What is the significance of the transit of Venus?)
At superior conjunction, Venus is on the opposite side of the Sun and nearly 257 million km from the Earth. This great difference in distance from the Earth produces a large variation in its apparent size. At superior conjunction, Venus' apparent diameter is about 10" and at inferior conjunction about 64".



http://vt-2004.hq.eso.org/Background/Infol2/vt2004-if11-fig4.jpg (http://vt-2004.hq.eso.org/Background/Infol2/vt2004-if11-fig4.jpg)

Configurations of Venus

The maximum elongation of Venus is about 47 degrees. Venus is a remarkable object in the night sky at its brightest, 35 days before or after inferior conjunction, when one third of the visible surface is illuminated. Under favourable conditions it is even possible to see the crescent shape of Venus with binoculars.
The rotation of Venus

The rotation period was unknown for a long time. Observers in the past saw faint hints of structure in the clouds, which seemed to indicate that these clouds might circle the planet in about four days, moving in the opposite sense to Venus' orbital revolution. Finally in 1962, radar waves penetrated the clouds and the measurements revealed that the rotation period is 243 days in a direction opposite to the other planets; this backwards motion is called retrograde motion, to distinguish it from prograde (forward) rotation.
The planet spins from east to west, rather than west to east, like the Earth; so on Venus, the Sun (though invisible through the clouds) rises in the west and sets in the east. This slow retrograde rotation results in a solar day on Venus lasting 117 terrestrial days. The slow rotation of the solid surface contrasts with the rapid rotation of the clouds. The clouds rotate in the same sense as the surface of Venus but more rapidly, once every four days (See: The clouds of Venus!). The axis of rotation is almost perpendicular to the orbital plane; the inclination being 177 degrees.
The fact that Venus is in retrograde rotation seems very strange to astronomers, since the planets orbit the Sun in one direction and almost all the planets and satellites spin in the same direction. So it is difficult to explain why Venus spins "the wrong way". One possibility depends on the idea that when Venus was in the process of forming, the planetesimals formed clumps of different sizes. Perhaps the second largest clump struck the largest clump at such an angle as to cause the resulting clump to rotate backwards. Another possibility is that sometime later in Venus' history a comet, asteroid or large heavenly body crashed into it causing it to flip. But these ideas are not supported by any good physical evidence, and it is strange that Venus ends up rotating slowly backwards instead of being tipped over at a random angle like Uranus.
So it is generally believed that for terrestrial planets with dense atmospheres like Venus one reason for developing a retrograde rotation from a prograde rotation (in the same direction as the other planets) could be the core-mantle friction inside the planet - together with atmospheric tides, and the "obliquity" angle between the planet's equator and the plane of its orbit around the Sun.
Seasons on Venus?

One of the important characteristics of the Earth is its seasonal cycle - Winter, Spring, Summer and Autumn. It causes changes of vegetation especially in the mid-latitudes of our planet. But every planet in the solar system has seasons, because seasons are caused by two factors: axial tilt and varying distance from the Sun due to orbital eccentricity. Since the Earth's orbit is nearly circular, it has little effect on the seasons. The main factor is our planet's axial tilt which causes almost all seasonal change. When the north pole is tilted toward the Sun, it is northern spring and summer. Six months later the north pole tilts away from the Sun and we experience northern autumn and winter.
Venus and Jupiter both have quite small axial tilts of about three degrees compared to the Earth's 23.5 degree tilt. Consequently seasonal changes on those planets are correspondingly small. Spring on Venus is not very different from autumn. The plane's dense, acidic atmosphere produces a runaway greenhouse effect (See: The clouds of Venus!) that keeps the surface at 500 degrees Centigrade the year round - that's hot enough to melt lead!



Seasons on Venus, Earth, Jupiter and Mars

Vernal equinox Summer solstice Autumnal equinox Winter solstice PLANET e (orbital eccentricty) spin axis tilt (deg) Spring begins Summer begins Autumn begins Winter begins Venus 0.01 3 Feb 24, '00
19.30 UT Apr. 1, '00
16.00 UT May 28, '00
0400 UT Jul 22, '00
1800 UT Earth 0.02 23.5 Mar 20, '00
0735 UT Jun 21, '00
0148 UT Sep 22, '00
1727 UT Dec 21, '00
1337 UT Mars 0.09 24 May 31, '00
Dec 16 '00
Jun 12, '01 Nov 2, '01 Jupiter 0.05 3 August 1997 May 2000 March 2003
http://uplink.space.com/showflat.php?Cat=&Board=askastronomer&Number=278712&page=0&view=collapsed&sb=5&o=0&fpart=all - here is an astronomical forum ( sorry for posting this here but it has relevant info on the subject

Resuming here is the Venus Rose and it´s orbit

http://data1.blog.de/media/265/550265_87c1933856_s.gif (http://www.blog.co.uk/srv/media/media_item.php?item_ID=550265)

hope it helped

May your mind´s stay cristal clear

[MythMath]

Your cinquefoil orbit graphic reminds me of
another item from the source that I
mentioned; a further link between 5/8/ http://www.rodurago.de/images/astro/planets/mercury_txt.jpg /http://www.rodurago.de/images/alchem/elements/earth_txt.jpg:

Venus sits between Mercury and Earth and draws
a huge 'pentagram' around us every eight years...

http://data1.blog.de/media/265/550265_87c1933856_s.gif

[Phoenix]

Venus sits between Mercury and Earth and draws
a huge 'pentagram' around us every eight years...



"Great minds think alike", that is why i post this thread here, math proves it´s a natural event but it is endeed a fascinating subject for me, i would like to know more but information is scarse over the net these days (i mean actualy usefull info), but it proves that certain civilizations were so advanced that developt an astrological orientated society, for example the japonese or the maian culture

[imagenerator]

P.S. I think the next thing this needs is graphics an a simple tracking program, so I don't have to keep doing it in my head all the time. Or for that matter a printable calendar. Hmmm Ideas...


I would likely be able to spin up some static images that represent the concepts outlined. I wrote some code to to various things with subunit divisions (like varying sizes of ticks on a ruler). Here is a sample of something I can do with it:
http://fc01.deviantart.com/fs13/i/2007/009/e/4/One_way_to_count_by_imagenerator.jpg



and you can download a scalabe version here: http://www.deviantart.com/deviation/46300027/

Let me know if this is of any use and if you IM me with some specifications for a calendar print, I'll take some time to make it work with your vision.

[Anibis]

Excellent. Thank you for this image. At the moment, I am working on developing this stuff into a book which provides actual calendars with which to keep track of the counts... I am considering several different sorts of layout, but the 8-fold wheel is certainly one such... the beauty of a geometrically ballanced count is that time can take so many interesting shapes...
-Ibisis-

[Anibis]

It just occured to me, if you took the above image, and divided IT concentrically into four rings, colored red, yellow, blue and green, then it would accurately map the whole 'clusters' aspect. A single wheel would therefore be equivalent to four Thoth Years. Similarly then the whole thing could be layed out rather nicely on the Lo Shu square OR in the 9 chambers of Tetractys.... THAT would be quite an image...
-Ibisis-

[MythMath]

This was the direction I had dabbled with;
combining a 4-year cycle on one disc...

The discs could be 'spindled' like an old record
changer (or a stack of CDs, for that matter)...
______________________

But I like the LoShu & Tetractys possibilities, too... ;)
____________________

imagenerator, got any labyrinths up your sleeve...?

[imagenerator]

This was the direction I had dabbled with;
combining a 4-year cycle on one disc...

The discs could be 'spindled' like an old record
changer (or a stack of CDs, for that matter)...
______________________

But I like the LoShu & Tetractys possibilities, too... ;)
____________________

imagenerator, got any labyrinths up your sleeve...?

Nope. Rather, I am in the sleeve of the labrynth :rofl:

[Anibis]

Here is a 'counting board' for the Thoth Count. It is left deliberately unadorned. Basically you have three counters. One counter is for the days, mapped onto the little points of the outer circles. One counter is for the 4 year cycle, as well as for the weeks/months, located in the 4 color coded concentric rings, and their 8-fold division. The last is for the 9 clusters of four years, located in the 3x3 LoShu in the centre. There is also the option of utilizing the Sigil Tarot in tandem with it.

Instructions. Pick a starting point. (I will use the topmost circle and the lowest 'point'). Unless you intend to 'leap into the fray', it is best to wait till a Mercurial 'New Years'. You put a counter on that point, and every day you move it to the next in the circle (You decide the direction (for now)) when it has gone all the way around, you go to the next 11 fold circle and do the same. After you have done this for all the circles, the Year will be complete.

At the same time, you have a counter in the the appropriate ring of the 4 fold concentric circle. In the case of years that fall at the beggining of a 'cluster' you use the red, for the second, the blue, and so on inwards. Thus 4 Thoth years are marked by the circles. Also, you move that counter along the circle to correspond with the outside 'day-circle'. You move it every 11 days. As you can see, it will cover one Quadrant every 22 days. You may Also lay the appropriate Tarot Cards down as you do this. Print off the Sigil Tarot, cut out each sigil (or just draw them onto stones). Separate numbers 0-XXI and as you count days, place them in order from 0-XXI in the gray gradient space in the middle of the day circle (Assume that ATU XXII 'The Juggler' underlies all of them. For the sake of pure symbolism, you could put it on the three 'counters' marking the days, years and clusters). Each quadrant will be a complete 22-fold path working. The first one goes from 0-XXI, and the second from XXI to 0. Systole and Diastole. By the time you have gone all 88 days, the year marker will have visited all 4 quadrants, and all 12 sub-quadrants in the appropriate circle. There will be four complete 'pathworkings', and two 'breaths' (Meaning the paths from 0-XXI on the exhale, and the Paths from XXI to 0 on the Inhale). This follows the male/female/male/female pairing of Tetragrammaton.

Finally, when this has has occured in all four of the concentric rings, you go back to the outside(red) and begin again, except that you move the counter in the middle to the next appropriate 'house' of the Lo Shu (Which I don't have to number, since you have it memorized!). This is done of course 9 times. On a larger scale this can be carried by the same logic to 81, and 729 Thoth clusters. You do the math.

So here's the data. The next New Year (i.e. Day One) is May 4th 2007 (Year 15). This will be the third year in the cluster, so the yellow ring, and it is in the fourth House of the Lo Shu. That's what you need to know. Enjoy.

For the Sigil Tarot go here (http://forums.abrahadabra.com/showpost.php?p=2939&postcount=15). Remember that the Sigil Tarot follows the path numberings rendered by the 'Proximity Principle', here (http://www.abrahadabra.com/proximity.principle.htm).

-Anibis

Enjoy. I can provide a scaleable version if need be.

http://Ibisis.zoints.com/image/50552-AMap

[Cameron]

hi anibis , i am very interested in the meditations , please tell me more.Cameron

[Anibis]

Okay... well. I think I have spelled it out pretty clearly... Since we have begun the operation my suggestion is you just read it as it unfolds, rather than jump in. There will be more opportunity. Essentially, a TC meditation, in its 'whole' form is a 22 day exploration of the paths of the tree of life, backed up by the momentum of Mercury... This is a sort of project which must be properly timed. Do you have a background with magickal calendars?
-Anibis

[Radiant Star]

hi anibis , i am very interested in the meditations , please tell me more.Cameron

Did you see this thread Cameron?

http://forums.abrahadabra.com/showthread.php?t=1339

[Cameron]

Hi Ricci , yes i did log into the thread, very very very interesting.:)