Tag: outer planets

The Martian Moon Resonance

As with the other outer planets, Mars has a resonant relationship with the Lunar Year. UPDATED.

When I wrote Matrix of Creation in 2001, many planetary resonances were revealed and most of these involved small whole-number relationships between both sidereal and synodic periods in the solar system. At that time, only the Jupiter and Saturn synods (of the two visible outer planets) had been identified, as 9/8 and 16/15 of the lunar year (see chapter 9). The implied units of these ratios were 1.5 and 0.8 lunar months (respectively).

Mars is closer to the Earth and Moon than these giant planets and, since all the giants have numerical ratios to the lunar year, what of Mars whose synodic period is effectively 780 days: This is over 2 solar years (2.14) and 2.2 lunar years, a fractional relationship of 11/5 lunar years. That the moon has such a simple fractional relationship with all of the outer planets implies a previously unknown (at least in recent times) principle, in which the moon is gravitationally affected by the “loops of proximity”, seen when such planets approach, at a frequency defined by their synodic period. In the case of Mars this is very long, proximity happening every 780 days.

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Harmony of the Biblical Patriarchs

This extract from The Harmonic Origins of the World (p58-62) shows how what are taken to be arbitrary numbers, in the narrative of the Patriarchs, expressed knowledge of planetary resonances.

above: Diagram of the Bible code of “holy mountains”: Products of the powers of five upwards and of the powers of three across, each mountain within a limiting number if note D is {60, 120, 45, 180, 720} .

Female archetype Eve, “mother of all living,” becomes Abram’s wife Sarai. Childless, Abram was encouraged (by Sarai) to have first son Ishmael by concubine Hagar, but the Lord God (the mountain god whose number sums to 345) renames Sarai as Sarah and Abram as Abraham. At a miraculous 90 years of age she gives birth to Isaac (“he laughs”), then reportedly dies at 180 years old. It is harmonically relevant that (a) the giving of heh = 5 to both Sarah and Abraham elevates them from their former selves onto the second row, “stepping up” like the god Ea in Sumeria, and that (b) Adam’s number 45 has now been doubled to 90 and can form an octaval womb in which Isaac can be born, his life to then end at the doubling of Sarah’s 90 years to 180 years.

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Numbers of a Living Planet: Preface

The image above is Kurma avatara of Vishnu, below Mount Mandara, with Vasuki wrapped around it, during Samudra Manthana, the churning of the ocean of milk. ca 1870. Wikipedia.

  1. Preface
  2. Primacy of low whole numbers
  3. Why numbers manifest living planets
  4. Numbers, Constants and Phenomenology
  5. Phenomenology as an Act of Will

Please enjoy the text below which is ©2023 Richard Heath: all rights reserved.

It is impossible to talk of a creation outside of the time and space of Existence, though from it, other dimensions can be inferred such as an “Eternity” visible in the invariances of numbers and structures. It is this higher dimensionality that leads to

  1. The recurrence of celestial time periods,
  2. The mental powers to recognise manifested patterns,
  3. The use of spatial geometries of alignment,
  4. The numerate counting of time,
  5. A phenomenology which is neither factual nor imaginary.

The quantification and qualification of Existence, adequately conducted, reveals harmonious structures within time and space, especially in the spacetime of our planetary system, when this system is as seen from our planet. The harmonious nature of our planetary system helped the late stone age to develop a large numerical and geometrical model of the world through counting astronomical recurrences. This model, which shaped ancient texts, implies that solar systems may have an inherent intelligence which makes them harmonious.

Harmony in a planetary system must therefore employ invariances already present in the number field, by exploiting the recurrent orbital interactions between planets and large Moons, this in a connected set of three-body problems. Before our exact sciences and instruments, prehistoric naked-eye astronomers could understand the planetary world by counting the duration of planetary time cycles: the subject my books explore. Through counted lengths of time, the megalithic age came to understand the invariances of the number field and so evolve an early and distinct type of numeracy. This numeracy lived on as the basis for the ancient Mysteries of the early civilizations, embodied in their Temples and in the Pythagorean approach to ordinal numbers and geometries, expressing the “number field” in two or three dimensions, areas and volumes. (see Sacred Geometry: Language of the Angels for an introduction to this)

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Introduction to my first book, Matrix of Creation

My first book interprets the planetary system through pure number. The numbers involved in this interpretation are surprisingly simple and will be accessible to anyone holding a basic arithmetic education. From this approach we have gained substantial new insights into the realm of mythology, religious thought and what have become known as the Traditional Arts. We show that the solar system evolved from pure number and can no longer be thought of as an accident of nature.

It is also no coincidence that this work lies poised between the realm of mathematics and the world before numeracy. In the ancient world, numbers assumed god-like powers that were continually creating the world through stable numerical relationships. The core of this ancient science developed such a view naturally through simple astronomical observations, by counting events and regular movements in the night sky. This science was then artic­ulated as mythological stories, calendars, sacred geometry, musical theory and monumental architecture, such as the Great Pyramid and Stonehenge.

These artefacts, found in all ancient cultures, have remained obscure to the modern world because modern science has become too sophisticated to see the simple celestial relationships which demonstrate that the planetary system, including the Sun and Moon, hold to a particular design.

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Further Ratios of the Outer Planets to the Lunar Year

The traditional way to express the Harmony of the Spheres is geometrically, despite the fact that geometrical knowledge of the heliocentric planetary system was not available to Pythagoras who, for the West, first established this whole idea – that the planets were part of a system expressing harmony.

The opening picture is from Kepler’s Harmonices Mundi :
from a scan made of the Smithsonian’s copy,
made available on Wikipedia as in the public domain.

In my own work, on the type of ancient astronomy based upon time and not space, I find it to be the outer planets in particular which express harmony in their geocentric synods relative to the lunar year. This applies to Jupiter, Saturn and Uranus but Neptune expresses a rational fraction of 28/27 involving prime numbers {2 3 7} whilst the other three planets only involve ratios involving primes {2 3 5}. The harmony of the outer planets has been a strong source for the sacred numbers found in ancient texts, as with Jupiter 1080 – considered a lunar number perhaps because the Moon is resonant to Jupiter – who is shown by figure 1 to be geocentrically resonant to the other planets and the Moon.

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Harmonic Astronomy within Seascale Flattened Circle

first published in July 2018

Only two type-D stone circles (see figure 3) are known to exist, called Roughtor (in Cornwall) and Seascale (in Cumbria). Seascale is assessed below, for the potential this type of flattened circle had to provide megalithic astronomers with a calendrical observatory. Seascale could also have modelled the harmonic ratios of the visible outer planets relative to the lunar year. Flattened to the north, Seascale now faces Sellafield nuclear reprocessing plant (figure 1).


Figure 1 Seascale type-D flattened circle and neighbouring nuclear facility.
photo: Barry Teague

Stone Age astronomical monuments went through a series of evolutionary phases: in Britain c. 3000 BC, stone circles became widespread until the Late Bronze Age c. 1500 BC. These stone circles manifest aspects of Late Stone Age art (10,000 – 4500 BC) seen in some of its geometrical and symbolic forms, in particular as calendrical day tallies scored on bones. In pre-literate societies, visual art takes on an objective technical function, especially when focussed upon time and the cyclic phenomena observed within time. The precedent for Britain’s stone circle culture is that of Brittany, around Carnac in the south, from where Megalithic Ireland, England and Wales probably got their own megalithic culture.

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