High order multistep methods, run at constant stepsize, are very effective for integrating the Newtonian solar system for extended periods of time. I have studied the stability and error growth of these methods when applied to harmonic oscillators and two-body systems like the Sun-Jupiter pair. I have also tried to design better multistep integrators than the traditional Stormer and Cowell methods, and I have found a few interesting ones.
| Identifer | oai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/6832 |
| Date | 01 July 1988 |
| Creators | Skordos, Panayotis S. |
| Source Sets | M.I.T. Theses and Dissertation |
| Language | en_US |
| Detected Language | English |
| Format | 101 p., 10517978 bytes, 3936933 bytes, application/postscript, application/pdf |
| Relation | AITR-1055 |
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