Class RK8

• Defined in File integrator.h

Inheritance Relationships

Base Type

• public lupnt::Integrator (Class Integrator)

Class Documentation

class RK8 : public lupnt::Integrator

8th-order Runge-Kutta fixed-step integrator (10-stage, Cooper-Verner-type coefficients).

Higher-accuracy alternative to RK4 for NumericalOrbitDynamics and similar models when larger step sizes or tighter accuracy are needed at the cost of more force-model evaluations per step.

Public Functions

virtual State Step(const ODE &f, Real t, const State &x, Real dt)

One step of 8th-order Runge-Kutta integration: evaluates f at 10 stages spanning [t, t+dt] and combines the resulting derivatives with fixed weights.

One step of 8th order Runge-Kutta Integration.

https://www.mathworks.com/matlabcentral/fileexchange/55431-runge-kutta-8th-order-integration

Parameters:

• f – Right-hand side dx/dt = f(t, x)

• t – Current time [s]

• x – Current state

• dt – Step size [s]

• f – The ODE function to propagate

• t – Time

• x – The state to propagate

• dt – Timestep

Returns:

State after stepping by dt