Plotting order in the cosmos through mathematics.
Planetary Harmonics tests the hypothesis that planetary orbits reflect a harmonic structure based on the Fibonacci sequence.
All calculations are transparent, reproducible and based on published astronomical data.
The evidence is presented clearly so you can judge.
Jupiter SMA Example
The diagram illustrates the semi-major axis as a direct measurement from the star to Jupiter, expressed in astronomical units.
Harmonic Analysis
Five steps for checking a semi-major axis
Published data
Start with a published observed semi-major axis.
Fibonacci value (N)
Select the relevant Fibonacci value (N) from the Orbital Index.
Calculation
Transform the Fibonacci value using: a₍ideal₎ = ⁴√(N³) = N³⁄⁴ to obtain the corresponding Orbital Index value.
Comparison
Compare the ideal calculated value with the actual observed data.
Interpretation
Interpret the proximity percentage and decide whether it falls within tolerance.
Latest Results – Solar System
The table shows the Fibonacci value (N), the corresponding Orbital Index value (⁴√(N³)), the observed semi-major axis (SMA), the proximity percentage and the resulting classification.
| Planet | Fibonacci value (N) | Orbital Index value ⁴√(N³) |
Observed SMA (AU) | % Approximate Value | Pass / Fail |
|---|---|---|---|---|---|
| Mercury | 0.233 | 0.3354 | 0.3871 | 115.40% | Pass |
| Venus | 0.610 | 0.6902 | 0.7233 | 104.75% | Pass |
| Earth | 1 | 1.0000 | 1.0000 | 100.00% | Pass |
| Mars | 2 | 1.6818 | 1.5237 | 90.62% | Pass |
| Jupiter | 8 | 4.7568 | 5.2044 | 109.40% | Pass |
| Saturn | 21 | 9.8099 | 9.5800 | 97.66% | Pass |
| Uranus | 55 | 20.1963 | 19.1910 | 95.02% | Pass |
| Neptune | 89 | 28.9763 | 30.0700 | 103.77% | Pass |