Module kepler_orbit 

Demo 5: Kepler Orbit Conservation Laws

Two-body orbital mechanics verifying all three Kepler laws plus conservation.

Governing Equations

Newton's Gravitation: F = -GMm/r² r̂
Specific Energy:      E = v²/2 - μ/r = -μ/(2a)    (constant)
Angular Momentum:     L = r × v                    (constant vector)
Kepler's Third Law:   T² = (4π²/μ) a³

EDD Cycle

1. Equations: E constant, L constant, T² ∝ a³
2. Failing Tests: E drifts >1e-10, L drifts >1e-12, T error >1e-6
3. Implementation: Störmer-Verlet symplectic integrator
4. Verification: All three conservation laws hold
5. Falsification: Add third body perturbation, laws break

Structs

KeplerOrbitDemo

Kepler Orbit demo state.

Vec2

2D vector for orbital mechanics.