# rk4
The fourth-order Runge-Kutta method (RK4) is the workhorse numerical integrator for systems of differential equations that have no clean analytic solution — chaotic motion, orbital mechanics, coupled oscillators. This tag collects every simulation on MySimulator that steps its physics forward with RK4 rather than a simple Euler update, because these systems are sensitive enough that integration error would otherwise pile up fast. That includes chaos classics like the Double Pendulum, Triple Pendulum and Lorenz Attractor, orbital setups such as Lagrange Points, Solar Sail and Asteroid Deflection, plus electromagnetic and circuit models like Lorentz Force and Chua's Circuit. Filter by this tag when you want to see integration accuracy actually matter.
Found: 13 simulations · 1 articles
🧪 Simulations (13)
📖 Articles (1)
Simulations in this topic include Double Pendulum, Lorenz Attractor, Lagrange Points, Thomas Attractor, Asteroid Deflection and Solar Sail.
📊 Facts about this collection
- 14 items total — 13 simulations plus the companion article ODE Solvers Compared: Euler, RK4, Verlet, Adaptive Methods, which explains why RK4 was chosen for these models.
- Pendulum chaos gets three separate treatments: Double Pendulum, Triple Pendulum and the Elastic Pendulum, plus Magnetic Pendulum and 3D Spherical Pendulum.
- Strange attractors are represented by the Lorenz Attractor and Thomas Attractor, both classic RK4 demonstrations of sensitive dependence on initial conditions.
- Orbital and field simulations include Lagrange Points, Solar Sail, Asteroid Deflection and Lorentz Force.
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