Physics
Magnetic pendulum
Fractal basins of attraction over three magnets.
What happens
Fractal basins of attraction over three magnets. Planar approximation with softened magnetic forces. Grey map cells did not settle within the time limit.
Equations used in the module
Equations r'' = −ω₀²r − γr' + Σ_i k(p_i−r)/(|p_i−r|²+h²)^(3/2) U/m = ½ω₀²|r|² − Σ_i k/√(|p_i−r|²+h²) dE/dt = −mγ|r'|²; γ = 0: E = const λ(t) ≈ ln(10) d(log₁₀ D)/dt
