Runge-Kutta Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A family of numerical integration methods for solving ordinary differential equation initial-value problems. The fourth-order Runge-Kutta method (RK4) evaluates the function four times per step, combines them with weighted averaging to produce a fourth-order accurate solution whose error scales with the fourth power of the step size. One of the most commonly used integrators in astrodynamics simulations, offering a good balance between accuracy and computational cost.

Application Value

The Runge-Kutta method is a fundamental numerical method for solving ordinary differential equations.

Related Concepts

• Variable Structure Sliding Mode Control
• Pontryagin Minimum Principle
• Error Function

References

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