Implementation of Gauss-Jackson Integration for Orbit Propagation
Berry, Matthew M.
Healy, Liam M.
The Journal of the Astronautical Sciences, Vol. 52, No. 3, July–September 2004, pp. 331 – 357
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The Gauss-Jackson multi-step predictor-corrector method is widely used in numerical integration problems for astrodynamics and dynamical astronomy. The U.S. space surveillance centers have used an eighth-order Gauss-Jackson algorithm since the 1960s. In this paper, we explain the algorithm including a derivation from first principals and its relation to other multi-step integration methods. We also study its applicability to satellite orbits including its accuracy and stability.