Since prehistoric times, stargazers have identified patterns within the planetary movements in the Solar System. What once seemed a complex, mystifying and allegorical structure has been transformed into algebra. This was accomplished with laws often involving natural but self-referential constants by, among others, Kepler, Newton, Titius, Gauss and Einstein.
However, numerous strange and unexplained ‘coincidences’ of orbital elements often correspond to geometrical shapes and unexpected symmetry. These hint at a more complex inter-planetary pattern within the framework of a loose logarithmic progression of planetary distance from the Sun.
Whenever the orbital periods of two planetary bodies are compared, they can always be expressed approximately as a ratio of two whole numbers. In balancing simplicity with precision, it is evident that the outer planetary bodies (Uranus and beyond) tend to match a combination of two low value integer ratios, while the inner planets correspond to ratios based on higher value integers. Half these ratios of adjacent planetary bodies (including Ceres, Chiron and Pluto) are within 1% of a ratio of a pair of Fibonacci numbers (p=.0238) and a wider study of nineteen ‘neighbouring’ planetary ratios show twelve are within 2% (p=.0001). One of the properties of Fibonacci numbers is that if you divide any larger number by any smaller in the series, your result will approximate Phi (e.g. 13/8 ≈ φ or a power of phi (e.g. 21/8 ≈ φ2). The higher the numbers in the series, the closer the result to a phi- (also known as the Golden Mean or 1.618 …) based irrational number. So apparent mean motion resonance based on high Fibonacci numbers may be masking much simpler but harder to spot phi-based ratios.
By applying this theory, the Solar System has been mapped into a coherent network of irrational phi-based and rational harmonic ratios. Various mechanisms, explanations and comparisons including phyllotaxis and acoustics.
Copyright © 2013 Published by the AA of GB
- Our Solar Matrix
- The Rise and Fall of Bode's Law
- Gravity is four dimensional-geometry
- The evidence
- Fibonacci Footprint
- The Rocky Inner Planets dance to the Golden Ratio (φ)
- Displaying the Planetary Matrix Geometrically
- A model for an innner planet network
- Is this terrestrial planet network random or ordered?
- How Phi Ratios are precise, cohesive, integrated and symmetrical
- The Matrix of the Solar System
- Disharmonic convergence of irrational with rational
- Evidence from the asteroid belt
- Mechanism theories
- Conservation of planetary angular momentum
- Orbital resonance and survival of the most massive
- The mechanism of the orbital shift from rational to irrational
- The outer planet coping mechanism
- Why are outer planet orbits harmonic rather than phi-based?
- Why phi and not pi, e or square root of 2, and why multiples of Phi?
- Why do multiples of phi also result in non-harmonic ratios?
- Explanations, objections and questions
- Were Kepler and Galileo right?
- Resumption of the theory
- Conclusion: Is our solar system chaos or cosmos?
Thanks to Professor Jay Kappraff, Dr. Pat Harris, Axel Harvey, MA, and Karen Chiarello BA, BSc.
Robert Currey, BSc.[Hons], DF Astrol.S., Cert.Int.ACG.
|The full article is published in Correlation, the Astrological Association Journal of Research in Astrology (Vol.29 (1), 2013). To obtain copies or for a subscription go to the astrologicalassociation.com or contact the editor, Dr Pat Harris, 1 Highfield, Twyford, SO21 1QR, UK or try specialist bookstores in the UK like the Astrology Shop, Covent Garden, London.