The Three-Body Dance

Sun, Earth, Moon — and why their rhythms are axiom primes

The Oldest Problem

Three bodies pulling each other through space. Newton proved it has no closed-form solution. But the resonances — the rhythms that stabilize the dance — those are not random. They are axiom primes.

Resonance Cycles

Every long-period oscillation in the Sun-Earth-Moon system matches an axiom expression. Click a cycle to highlight it:

Click a cycle above to see its axiom decomposition and physical meaning.

Why Primes Rule Orbits

Orbital resonances cluster at products of small primes. The three-body problem has no exact solution, but its stable limit cycles live where CRT channels align. Bodies that share a prime factor lock into resonance.

The Milankovitch insight: Earth's ice ages follow three orbital cycles — eccentricity (~100ky), obliquity (~41ky), precession (~26ky). These are NOT arbitrary. Eccentricity ~ 10^5 involves E. Obliquity = 41 = KEY. Precession = 26 = D*GATE. The climate is a CRT decomposition of orbital mechanics. Three independent channels. Three ice-age drivers.

Contrast

Cycle	Conventional	Axiom	Measured	Error
Solar (Schwabe)	Empirical ~11y	L = 11 years	11.04 y	0.4%
Hale magnetic	~22y reversal	D*L = 22 years	22 y	exact
QBO	~28 months	D^2*b = 28 months	28.4 mo	1.4%
de Vries/Suess	~208y solar	DATA = DKE*b = 210	208 y	1.0%
Hallstatt	~2300y	THIN = DKEbL = 2310	2300 y	0.4%
D-O/Bond	~1470y ice	DATAb = DKEb^2 = 1470	1470 y	exact
Gleissberg	~88y	D^3*L = 88	88 y	exact
Eddy	~1000y	D^3*E^3 = 1000	~1000 y	~0%