Analyse des séries temporelles non-linéaires
- UE code SMATM129
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Schedule
30 30Quarter 2
- ECTS Credits 6
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Language
French
- Teacher Daquin Jérôme
The course offers students to concepts and computational techniques of astrodynamics with an emphasis in describing methods to study resident space objects’ (RSOs) motion (artificial satellites, space debris) on long time scale (decades, centuries), starting from low-Earth orbits up to beyond the geostationnary region. Students will be exposed to a blend of theoretical and practical knowledge of astrodynamics theory and space situational awareness.
Starting with a general presentation of the near-Earth space environment, we will then recall key concepts of the two-body problem. The various forces acting on RSOs will be introduced and discussed, starting from low-Earth orbits, and moving up to beyond the geosynchronous belt. Considering therefore perturbed two body problems, we will present Gauss and Lagrange planetary equations. By using averaging technique, we discuss secular models relevant to study their long-term dynamics and detail several chaos indicators useful for distinguishing regular from chaotic trajectories.
The course consists of a set of lectures together with research projects assigned to student groups.
Training | Study programme | Block | Credits | Mandatory |
---|---|---|---|---|
Master 120 en sciences mathématiques, à finalité spécialisée en Project Engineering | Standard | 0 | 6 | |
Master 120 en sciences mathématiques, à finalité spécialisée en data science | Standard | 0 | 6 | |
Master 120 en sciences mathématiques, à finalité didactique | Standard | 0 | 6 | |
Master 60 en sciences mathématiques | Standard | 0 | 6 | |
Master 120 en sciences mathématiques, à finalité approfondie | Standard | 0 | 6 | |
Master 120 en sciences mathématiques, à finalité spécialisée en data science | Standard | 1 | 6 | |
Master 120 en sciences mathématiques, à finalité didactique | Standard | 1 | 6 | |
Master 60 en sciences mathématiques | Standard | 1 | 6 | |
Master 120 en sciences mathématiques, à finalité approfondie | Standard | 1 | 6 | |
Master 120 en sciences mathématiques, à finalité spécialisée en Project Engineering | Standard | 1 | 6 |