Precession
How It Works introduced the two counter-rotating motions that anchor the model. This page is the precession reference: the Earth Fundamental Cycle they define, the cascade of sub-cycles that follow, and how each is observed.
The two fundamental motions
| Motion | Direction | Period | What moves |
|---|---|---|---|
| Axial precession | Clockwise | ~25,794 years | Earth around its wobble center |
| Inclination precession | Counter-clockwise | ~111,772 years | Earth’s perihelion point around the Sun |
These two motions run in opposite directions; their combined evolution defines all the precession phenomena described below. The full geometric setup is canonical at How It Works.
The Earth Fundamental Cycle
When axial and inclination precession interact they produce a single closed cycle — the Earth Fundamental Cycle:
- Duration: H = 335,317 years
- Ratio: 13 axial cycles = 3 inclination cycles
- Indices: 1, 3, 5, 8, 13, 16 — all Fibonacci numbers
J2000 anchor: the precession periods on this page are J2000 anchor values. Earth’s axial precession period scales with the length of day (k = 2π / T_axial; k ∝ 1 / LOD), and LOD itself evolves over geological time — so H = 13 × axial precession also evolves. See Expanding Resonance for the time-evolution layer; the values below describe the modern epoch.
All other precession periods follow as integer divisors of H:
| Cycle | Formula | Mean duration |
|---|---|---|
| Earth Fundamental Cycle | H ÷ 1 | 335,317 years |
| Inclination Precession | H ÷ 3 | ~111,772 years |
| Ecliptic Precession | H ÷ 5 | ~67,063 years |
| Obliquity Cycle | H ÷ 8 | ~41,915 years |
| Axial Precession | H ÷ 13 | ~25,794 years |
| Perihelion Precession | H ÷ 16 | ~20,957 years |
The Fibonacci index structure is not a coincidence — it is the model’s first organising law. Full statement and derivation at Fibonacci Laws §Law 1. Obliquity and ecliptic precession are treated in detail at Obliquity & Inclination.
Axial precession
Earth’s spin axis traces a circle on the sky over ~25,794 years, changing which star sits near the celestial pole:
- Today: Polaris
- ~2900 BC: Thuban
- ~13,700 AD: Vega
In mainstream astronomy this is the precession of the equinoxes — the equinox points drift along the ecliptic — and is also called the Great Year or Platonic Year. In the model it is Earth’s clockwise orbit around its wobble center.
Inclination precession
Earth’s perihelion point orbits the Sun counter-clockwise in ~111,772 years. It changes Earth’s orbital inclination, shifts the calendar date of perihelion, and contributes one component to the inclination-side family of cycles visible in ice-core records.
Perihelion precession
Every ~20,957 years (at the J2000-anchor value of H — the period itself evolves slowly on geological timescales, see Expanding Resonance) axial and inclination precession meet — the cycle in which the two reference points realign. The last calculated alignment was 1246 AD, when the December solstice coincided exactly with perihelion. This is the Balanced Year that anchors the model’s epochs (see How It Works).
Connection to climate
Earth’s own inclination precession (H/3 = ~111,772 years) sits at n = 24 on the 8H lattice but does not drive climate directly: the L1 ridge fit on LR04 places near-zero amplitude there. The ~100-kyr band visible in ice cores is a broad single peak carried by three adjacent multi-planet eigenmode beats — n=22, n=25 (s₁ − s₄ nodal, empirical centroid 107.3 kyr), n=28 (g₄ − g₅ eccentricity, 95.8 kyr). Canonical record and full attribution: Climate Formula.
Comparison with Meeus
The longitude of perihelion specifies the angular direction of Earth’s closest approach to the Sun, measured from the vernal equinox. The model’s prediction matches Meeus (1998) closely for several millennia around the present:
- 1000 AD: model 85.763° vs Meeus 85.788° (Δ = 0.025°)
- 2500 AD: model 111.446° vs Meeus 111.546° (Δ = 0.100°)
Beyond ~3,000 AD the two predictions diverge. The model completes 360° in a mean period of ~20,957 years (with a varying rate within each cycle); Meeus’s polynomial extrapolation deviates increasingly outside its fit window.
Beyond Earth
The Earth Fundamental Cycle is the smallest period in which Earth’s precession sub-cycles all complete. A longer Solar System Resonance Cycle of 8H = 2,682,536 years closes every planet’s cycles simultaneously, and Earth’s H is uniquely shorter than any other planet’s fundamental cycle. Full treatment: Fundamental Cycles; why Earth specifically is the short-cycle planet: Earth.
Precession through deep time
The axial-precession periods on this page are J2000-anchor values. Because H = 13 × axial precession period (the structural relation that defines the Earth Fundamental Cycle), and H itself expands monotonically across geological time, the precession of the equinoxes itself slows over geological time — at past epochs the period was shorter; at future epochs it will be longer. The classical observable known since Hipparchus is not a fixed astronomical constant but a now-snapshot of a slowly-evolving cycle.
| Epoch | H | Axial precession (H/13) |
|---|---|---|
| Modern (J2000) | 335,317 yr | ~25,794 yr |
| Devonian (380 Ma) | 309,083 yr | ~23,776 yr |
| Hadean (~4.54 Gyr, Moon near Roche limit) | ~69,837 yr | ~5,372 yr |
The Hadean precession period was about 5× shorter than today. At the same orbital geometry, the equinoxes would have completed one full circuit in ~5,400 years versus ~~25,794 yr today. This is a direct geometric consequence of H expansion under Expanding Resonance and ties a famous classical observable — the precession of the equinoxes — to the framework’s central claim about H(t).
Modern-era rate of change. At today’s rate, H grows by ~0.02 % per million years, so the precession period lengthens by ~0.5 yr per Myr at the modern epoch. The effect is small on human timescales but in principle observable in high-precision IAU precession-rate measurements over decades; distinguishing it from mainstream tidal-LOD contributions and planetary-precession evolution is the open observational question. The strongest evidence for the prediction comes from deep time, where the cumulative shift is large — paleontological day counts and cyclostratigraphic period drift across the Phanerozoic. See Supporting Evidence §14 for the Wells 1963 Devonian-coral validation table.
Compute precession at any year
The full closed-form expressions for axial, inclination, ecliptic, obliquity, and perihelion precession at arbitrary year are in Formulas.
Continue to Obliquity & Inclination to see how axial tilt and orbital inclination combine to produce the obliquity cycle.