SPX vs 24th Harmonic of Mercury's Right Ascension | May 2017

Upcoming Turn-Days:
May 12 (Fri), May 17 (Wed), May 21 (Sun), May 24 (Wed), May 27 (Sat), May 30 (Tue), Jun 02 (Fri).

SPX vs Declination of Mercury and Venus Parallel | May 2017

No Mercury-Venus parallels this month.
However, the Mercury declination high on May 09 (Tue) is a potential market turn day.

S&P 500 Index vs Mercury Speed | April 2017

Upcoming Turn-Days: Apr 02 (Tue), Apr 07 (Fri), Apr 10 (Mon), Apr 19 (Wed), Apr 21 (Fri), May 06 (Sat).

S&P 500 Index vs Mercury – Mars Speed Differential | April 2017

Upcoming Turn-Days: Apr 02 (Tue), Apr 13 (Thu), Apr 21 (Fri), Apr 20 (Sun).

S&P 500 Index vs Declination of Mercury and Venus | April 2017

Upcoming Turn-Days: Apr 10 (Mon), Apr 28 (Fri).

S&P 500 Index vs Mercury – Venus Cycle | April 2017

Upcoming Turn-Days: Apr 07 (Fri), Apr 11 (Tue), Apr 16 (Sun), May 02 (Tue).

S&P 500 Index vs 24th Harmonic of Mercury's Right Ascension | April 2017

Upcoming Turn-Days: Apr 05 (Wed), Apr 10 (Mon), Apr 16 (Sun), Apr 23 (Sun), May 03 (Wed).

SPX vs Declination of Mercury and Venus Parallel | March 26, 2017

SPX vs Mercury 180° Saturn (heliocentric)

Today Mercury opposes Saturn (heliocentric).
March 24, 2017 is also a Sensitive Degree of the Sun (HERE),
a turn-day in the Jupiter-Saturn Cycle (HERE),
and a SoLunar turn-day (HERE).
Martin Armstrong expects a consolidation of US-stock indices into May (HERE).

SPX vs Declination of Mercury + Venus | March 2017

VEN Dec @ MAX = Mar 11 (Sat), MER Dec @ 0 = Mar 15 (Wed), MER Dec # VEN Dec = Mar 26 (Sun).

SPX vs 24th Harmonic of Mercury's Right Ascension | March 2017

Upcoming Turn-Days: Mar 01 (Wed), Mar 03 (Fri), Mar 05 (Sun), Mar 07 (Tue), Mar 09 (Thu), Mar 12 (Sun), Mar 13 (Mon), Mar 16 (Thu), Mar 18 (Sat), Mar 20 (Mon), Mar 22 (Wed), Mar 25 (Sat), Mar 27 (Mon), Mar 31 (Fri), Apr 05 (Wed).

The Harmony of Being | Geometry in Man, Nature, and Cosmos

Proportional roots: (a) the √2 proportion, (b) the √3 proportion,
and (c) the golden mean (Phi) proportion.

Loai M. Dabbour (2012) - Geometry describes the assertions of a mathematical order of the intrinsic nature of the universe. Geometry is the very basis of our reality, and we live in a coherent world governed by underlying laws. Johannes Kepler stated that geometry is underpinning the cosmos, which was based on Plato’s ideas that God created the universe according to a geometric plan. The structure of the universe is determined by and revealed as certain mathematical and geometric constants which represent a confirmation that proportions are the underlying fabric of nature. This can be seen in man, nature, and cosmos.

Root proportions based on the square.

By contemplating geometric proportions, an understanding towards the sacred truth can be obtained since geometric proportions are one of the definitive geometric qualities of life itself. The Holy Quran tells us that man has within himself all what is reflected in the universe - the best proportions. Man is the core of God’s creatures; he possesses the most harmonious proportions, reflecting of the Divine harmony of being. "We have indeed created man in best of forms" – proportions (Surah At-Tin, 95:4). Leonardo da Vinci illustrated the mathematical proportions of the human body, showing that human being exhibits clearly golden mean proportions in his body based on ratios of 1.618.The Vitruvian Man drawn by Leonardo Da Vinci is based on Vitruvius, who believed that if human proportions could be incorporated into buildings, they would become perfect in their geometry. According to Vitruvius, the distance from fingertip to fingertip should be the same as that from head to toe. The sacred mean rules can be seen in the ratios of body parts throughout the human body. The human body contains in its proportions all the important geometric geodesic measures and functions. The proportions of ideal man are at the center of a circle of invariant cosmic relationships.

Proportions of Venus’ and Earth’s mean orbits.

The mathematical harmony of the universe can be seen from the proportions of the planets in our solar system. For example, the ratio of the sacred mean can be seen in the rotations of Venus and Earth around the Sun in that for each five years that the Earth rotates around the Sun, Venus rotates around it eight times. The connection between 5 and 8, both of which are Fibonacci numbers, is the golden mean proportion (8/5 = 1.6). The result of this motion is that Venus draws a pentagon around the Sun every eight years (Figure A). Figure B shows that a circle is drawn, which represents Venus’ mean orbit. A pentagon is constructed inside it and a small circle placed through the arm-crossing points. The radius of this small circle divides the radius of the large one into golden sections and can be used to space Venus’ orbit from Earth’s orbit. It can be seen from the agreement between eightfold and fivefold geometries that eight touching circles are drawn from Venus’ mean orbit. In turn, the circumference circle is enclosing these eight circles, defining Earth’s mean orbit. The ratio of the mean orbits of Venus’s to Earth is the √2 proportion. The geometric representation of these orbits creates the golden mean proportion.

SPX vs 24th Harmonic of Mercury's Right Ascension

Mercury is the closest planet to the Sun, and named after the god of commerce, travel, and thievery in Roman mythology, the counterpart of the Greek god Hermes who also guides the souls to the underworld. Mercury is the Celtic god Lugus, the Germanic god Wotan, the old Indian god Rudra, later known as Shiva, associated with magic, poetry, and warfare. In ancient Babylon Mercury was the god Nabu, the divine scribe and god of wisdom. To the Egyptians Nabu was Tehuti, rendered by the Greeks as Thoth. Nabu was one of the major gods of Egypt and personified the principle of reason. However, Thoth had no connection with the planet Mercury until the Greeks introduced astrology to Egypt, where the planet was regarded as belonging to the god Set, while Thoth presided over the Moon. Finally Hermes Trismegistus seems to be the syncretic combination of Hermes and Thoth.  

Mercury was attributed a divine messenger due to the fast speed across the sky. Mercury attains Inferior Conjunction with the Sun (nearest approach to Earth) every 115.88 Earth days (= average Synodic Period), but this interval can range from 105 to 129 Earth days due to Mercury's eccentric orbit. Its period of retrograde motion as seen from Earth can vary from 8 to 15 days on either side of inferior conjunction. This large range arises from the planet's high orbital eccentricity. Mercury's axis has the smallest tilt of any of the Solar System's planets (about  1⁄30 degree), and its orbital eccentricity is the largest of all known planets in the Solar System. At aphelion, Mercury is about 1.5 times as far from the Sun as it is at perihelion. Because both Mercury and Earth are moving in elliptical orbits, the maximum elongation angle varies from one orbital revolution to another (HERE).

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The Celestial Equator is the plane formed by the daily rotation of the Earth around its own axis. It is inclined to the Ecliptic at 23°26’. This angle changes very slowly. The position of a celestial body, e.g. Mercury, is measured with reference to the plane of the Earth’s equator. The Geocentric Equatorial Coordinate System is projecting the Earth's equator onto the celestial sphere (forming the celestial equator) with a primary direction towards the vernal equinox, and a right-handed convention. Hence the Right Ascension (in hours, minutes and seconds) is the angle of the planet in the Equator plane (RA), and the Declination shows how the planet is inclined to the Equator. 

 

In the above chart Mercury's Synodic Period of 105 to 129 days was divided by 24 (1 Synodic Period = 360° / 24 = 15° = 24th Harmonic). Therefore one oscillation of the Cosinus of Mercury's Right Ascension between -1 and 1 (= 15^h) takes 4 to 5 Calendar Days, and considerably longer during the retrograde periods.

SPX vs Mercury – Venus Cycle | February 2017

Upcoming Cycle Aspects and potential Market Turn Days:
Jan 28 (Sat), Feb 16 (Thu), Feb 24 (Fri), Mar 02 (Thu), Mar 11 (Sat).

SPX vs Mercury 0° and 180° Jupiter and Saturn | George Bayer

Upcoming events:
2017 Jan 16 (Mon) 17:50 = JUP 000 MER [H]
2017 Feb 09 (Thu) 00:46 = SAT 000 MER [H]
2017 Mar 13 (Mon) 12:10 = JUP 180 MER [H]
2017 Mar 24 (Fri) 01:49 = SAT 180 MER [H]
2017 Apr 16 (Sun) 14:49 = JUP 000 MER [H]
2017 May 08 (Mon) 11:23 = SAT 000 MER [H]
2017 Jun 10 (Sat) 05:41 = JUP 180 MER [H]
2017 Jun 20 (Tue) 11:12 = SAT 180 MER [H]
2017 Jul 15 (Sat) 14:08 = JUP 000 MER [H]
2017 Aug 05 (Sat) 09:55 = SAT 000 MER [H]
2017 Sep 07 (Thu) 10:14 = JUP 180 MER [H]
2017 Sep 16 (Sat) 20:34 = SAT 180 MER [H]
2017 Oct 13 (Fri) 15:51 = JUP 000 MER [H]
2017 Nov 02 (Thu) 08:19 = SAT 000 MER [H]
2017 Dec 05 (Tue) 13:59 = JUP 180 MER [H]
2017 Dec 14 (Thu) 05:58 = SAT 180 MER [H]
2018 Jan 11 (Thu) 19:57 = JUP 000 MER [H]

Harmony of the Spheres | Dance of the Planets

James Ferguson’s (1710-1776) representation of the apparent motion of the Sun, Mercury, and Venus from the Earth, based on similar diagrams by Giovanni Cassini (1625-1712) and  Roger Long (1680-1770). Taken from the "Astronomy" article in the first edition of the Encyclopædia Britannica (1771; Volume 1, Fig. 2 of Plate XL facing page 449). This geocentric diagram shows, from the location of the Earth, the Sun's apparent annual orbit, the orbit of Mercury for 7 years, and the orbit of Venus for 8 years, after which Venus returns to almost the same apparent position in relation to the Earth and Sun. In Arabic, Venus is called “El Zahra” - the flower. See HERE + HERE + HERE + HERE

Earth - Mercury Cycle.
This and all following graphics by John Martineau.

Earth - Venus Cycle:
Earth = 8 years x 365.256 days/year = 2,922.05 days
Venus = 13 years x 224.701 days/year = 2,921.11 days (ie. 99.9%)

Earth - Mars Cycle.

Earth - Jupiter Cycle.

Saturn - Uranus Cycle.

Jupiter - Saturn Cycle.

Venus - Mars Cycle.

The radius of the Moon compared to the Earth's is 3:11

Radius of Moon = 1,080 miles = 3 x 360
Radius of Earth = 3,960 miles = 11 x 360 = 33 x 1 x 2 x 3 x 4 x 5
Radius of Earth plus Radius of Moon = 5,040 miles = 1 x 2 x 3 x 4 x 5 x 6 x 7 = 7 x 8 x 9 x 10
The ratio 3:11 is 27.3%, and the orbit of the Moon takes 27.3 days, which is also the average rotation period of a sunspot. The closest to farthest distance ratio that Venus and Mars each experiences in the Mars-Venus dance is also 3:11. The Earth orbits between them. The sizes of the Moon and the Earth is drawn to scale in the last illustration above, where the perimeters of the dotted square and the dotted circle are of the same length: The perimeter of the dotted red square is 4 x Earth’s diameter = 4 x 7,920 miles = 31,680 miles. The circumference of the dotted blue circle is 2 pi x radius = 2 x 3.142 x 5040 miles = 31,667 miles (ie. 99.9%).

SPX vs Mercury Speed | January 2017

Upcoming Turn-Days:
Jan 04 (Wed), Jan 10 (Tue), Jan 17 (Tue), Jan 22 (Sun), Feb 07 (Tue).

SPX vs Mercury – Venus Cycle | January 2017

Upcoming Turn-Days:
Dec 28 (Wed), Jan 01 (Sun), Jan 06 (Fri), Jan 15 (Sun), Jan 18 (Wed), Jan 28 (Sat).

SPX vs Mercury Speed | December 2016

SPX vs Mercury @ Maximum Elongation East / West + Mercury conjunct Sun

Any Mercury Maximum Elongation (e.g. maximum East on Dec 10, 2016) coincides with increased solar storminess, particularly within a few days either way of the key points within the cycle. An inferior conjunction of the Sun and Mercury will occur on Dec 28, 2016 (Wed).

Astronomical Calculator HERE