Implementation of Gauss-Jackson Integration for Orbit Propagation

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dc.contributor.authorBerry, Matthew M.
dc.contributor.authorHealy, Liam M.
dc.date.accessioned2005-06-07T13:28:41Z
dc.date.available2005-06-07T13:28:41Z
dc.date.issued2004
dc.descriptionThis paper focuses on the Gauss-Jackson algorithm for numerical integration, which particularly suited to the computation of orbits. Other multistep integration methods for first and second order ordinary differential equations are discussed as well. Accompanying it is code for computing the coefficients. This publication is posted with the permission of the American Astronautical Society.en
dc.description.abstractThe 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.en
dc.format.extent6692 bytes
dc.format.extent182014 bytes
dc.format.mimetypeapplication/octet-stream
dc.format.mimetypeapplication/pdf
dc.identifier.citationThe Journal of the Astronautical Sciences, Vol. 52, No. 3, July–September 2004, pp. 331 – 357en
dc.identifier.issn0021-9142
dc.identifier.urihttp://hdl.handle.net/1903/2202
dc.language.isoen_US
dc.publisherAmerican Astronautical Societyen
dc.relation.isAvailableAtA. James Clark School of Engineeringen_us
dc.relation.isAvailableAtAerospace Engineeringen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_us
dc.subjectNumerical integrationen
dc.subjectOrbitsen
dc.subjectGauss-Jacksonen
dc.subjectStoermer-Cowellen
dc.subjectAdams-Bashforthen
dc.subjectAdams-Moultonen
dc.subjectmultistep integrationen
dc.subjectODE integrationen
dc.subjectorbit propagationen
dc.subjectpredictor-correctoren
dc.titleImplementation of Gauss-Jackson Integration for Orbit Propagationen
dc.typeArticleen

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