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Symplectic integrators for trajectory simulations
dc.creator | Kidwell, Donald W. | |
dc.date.accessioned | 2012-06-07T22:56:17Z | |
dc.date.available | 2012-06-07T22:56:17Z | |
dc.date.created | 1999 | |
dc.date.issued | 1999 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/ETD-TAMU-1999-THESIS-K52 | |
dc.description | Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to digital@library.tamu.edu, referencing the URI of the item. | en |
dc.description | Includes bibliographical references (leaves 34). | en |
dc.description | Issued also on microfiche from Lange Micrographics. | en |
dc.description.abstract | For Hamiltonians separable in the form H = T + V, the method of Creutz and Gocksch is used to construct even-order integrative that will preserve the invariants of motion. Several of these symplectic integrators of the same order are compared among themselves and to Runge-Kutta integrative as they are applied to the Kepler problem in celestial mechanics. Error terms indicative of the conservation laws inherent in the motion are derived and it is shown how they may be used to gauge the time- scale needed to achieve a desired precision from the computation. A new sixth- order symplectic integrator is discovered in which the energy error is two orders of magnitude less than existing sixth-order integrators. | en |
dc.format.medium | electronic | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | Texas A&M University | |
dc.rights | This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries in 2008. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use. | en |
dc.subject | physics. | en |
dc.subject | Major physics. | en |
dc.title | Symplectic integrators for trajectory simulations | en |
dc.type | Thesis | en |
thesis.degree.discipline | physics | en |
thesis.degree.name | M.S. | en |
thesis.degree.level | Masters | en |
dc.type.genre | thesis | en |
dc.type.material | text | en |
dc.format.digitalOrigin | reformatted digital | en |
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