Physical Principles & Mathematical Derivation
When total initial potential energy exceeds the barrier needed to invert the lower link, violent whipping exchanges between the upper and lower rods launch Bob 2 over the top in unpredictable sequences.
Questions & Concepts
What physical equation governs High-Energy Inverted Double Pendulum Somersault Lab?
E_total > 2 × m₂ × g × L₂ (Flip Threshold) — When total initial potential energy exceeds the barrier needed to invert the lower link, violent whipping exchanges between the upper and lower rods launch Bob 2 over the top in unpredictable sequences.
How are the equations of motion integrated in this simulation?
Nonlinear differential equations are integrated at 240–300 Hz substeps using classical 4th-order Runge-Kutta (RK4) to maintain strict Hamiltonian energy accuracy.