Multistep Methods for Integrating the Solar System
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...
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| Language: | en_US |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/6832 |
| _version_ | 1811072773947129856 |
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| author | Skordos, Panayotis S. |
| author_facet | Skordos, Panayotis S. |
| author_sort | Skordos, Panayotis S. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:12:20Z |
| id | mit-1721.1/6832 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:12:20Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/68322019-04-12T08:32:26Z Multistep Methods for Integrating the Solar System Skordos, Panayotis S. numerical integration error analysis solar system stwo-body problem multistep integrators roundoff error 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. 2004-10-20T20:00:38Z 2004-10-20T20:00:38Z 1988-07-01 AITR-1055 http://hdl.handle.net/1721.1/6832 en_US AITR-1055 101 p. 10517978 bytes 3936933 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | numerical integration error analysis solar system stwo-body problem multistep integrators roundoff error Skordos, Panayotis S. Multistep Methods for Integrating the Solar System |
| title | Multistep Methods for Integrating the Solar System |
| title_full | Multistep Methods for Integrating the Solar System |
| title_fullStr | Multistep Methods for Integrating the Solar System |
| title_full_unstemmed | Multistep Methods for Integrating the Solar System |
| title_short | Multistep Methods for Integrating the Solar System |
| title_sort | multistep methods for integrating the solar system |
| topic | numerical integration error analysis solar system stwo-body problem multistep integrators roundoff error |
| url | http://hdl.handle.net/1721.1/6832 |
| work_keys_str_mv | AT skordospanayotiss multistepmethodsforintegratingthesolarsystem |