Runge Kutta 8th Order Integration

Version 1.1.1.1 (2.08 MB) by Meysam Mahooti
Runge-Kutta 8th order numerical integration method
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Updated 19 Apr 2019

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In numerical analysis, the Runge–Kutta methods are a family of implicit and explicit iterative methods, which include the well-known routine called the Euler Method, used in temporal discretization for the approximate solutions of ordinary differential equations. These methods were developed around 1900 by the German mathematicians Carl Runge and Martin Kutta. Here, integration of the normalized two-body problem from t0 = 0 [s] to t = 3600 [s] for an eccentricity of e = 0.1 is implemented and compared with analytical method.

Reference:
Goddard Trajectory Determination System (GTDS): Mathematical Theory, Goddard Space Flight Center, 1989.

Cite As

Meysam Mahooti (2024). Runge Kutta 8th Order Integration (https://www.mathworks.com/matlabcentral/fileexchange/55431-runge-kutta-8th-order-integration), MATLAB Central File Exchange. Retrieved .

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Runge Kutta 8th ordr

Version Published Release Notes
1.1.1.1

Image changed with a higher quality.
1.1.0.1

Documentation added.
1.1.0.0

test_RK8.m is modified.
1.0.0.0

Accuracy assessment is added to RK8_test.m