The 3 Moons

AbstractUsing discrete elastic lattice mechanics, gravitational acceleration and planetary magnetic fields are unified without Newtonian attraction or core-dynamo free parameters by modeling space as a tensioned elastic lattice (F_lattice = 1.210256 * 10^44 N, linear stiffness K_stiff = 6.732955 * 10^26 kg/m, acoustic wave speed c = 299,792,458 m/s). Planetary and lunar magnetic fields emerge directly from the torsional twisting of the lattice generated by axial rotation (V_rot) of the body's spatial indentation (Rs), scaled by the fine-structure step (1 / 137.036). Applying this framework to the three primary icy ocean moons of the outer Solar System—Europa, Ganymede, and Enceladus—reproduces surface accelerations (1.315 m/s^2, 1.425 m/s^2, and 0.113 m/s^2), cryogenic equilibrium temperatures (122.1 K and 90.0 K), and magnetospheric regimes. The equations demonstrate why Ganymede maintains a standalone magnetic dome, whereas Europa's torsional shield (279.3 nT) and Enceladus's near-zero torsional field (11.3 nT) fall below external magnetospheric plasma breach thresholds, exposing Europa's ice shell to direct Jovian plasma bombardment and permitting Enceladus's plumes to escape unimpeded into Saturn's E-ring.