Implementation of Gauss-Jackson Integration for Orbit Propagation | Zendy

Matthew M. Berry | Zendy; Liam M. Healy | Zendy

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Implementation of Gauss-Jackson Integration for Orbit Propagation

Author(s) -

Matthew M. Berry,

Liam M. Healy

Publication year - 2004

Publication title -

the journal of the astronautical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.698

H-Index - 46

eISSN - 2195-0571

pISSN - 0021-9142

DOI - 10.1007/bf03546367

Subject(s) - gauss , numerical integration , orbit determination , orbit (dynamics) , relation (database) , satellite , stability (learning theory) , space (punctuation) , computer science , mathematics , algorithm , calculus (dental) , physics , mathematical analysis , aerospace engineering , astronomy , engineering , data mining , medicine , dentistry , quantum mechanics , machine learning , operating system

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.

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