Time-delayed Dynamic Mode Decomposition for families of periodic trajectories in Cislunar Space
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929586687705088 |
|---|---|
| author | Narayanan, Sriram Mohamed, Mohamed Naveed Gul Nayak, Indranil Chakravorty, Suman Kumar, Mrinal |
| author_facet | Narayanan, Sriram Mohamed, Mohamed Naveed Gul Nayak, Indranil Chakravorty, Suman Kumar, Mrinal |
| contents | In recent years, the development of the Lunar Gateway and Artemis missions has renewed interest in lunar exploration, including both manned and unmanned missions. This interest necessitates accurate initial orbit determination (IOD) and orbit prediction (OP) in this domain, which faces significant challenges such as severe nonlinearity, sensitivity to initial conditions, large state-space volume, and sparse, faint, and unreliable measurements. This paper explores the capability of data-driven Koopman operator-based approximations for OP in these scenarios. Three stable periodic trajectories from distinct cislunar families are analyzed. The analysis includes theoretical justification for using a linear time-invariant system as the data-driven surrogate. This theoretical framework is supported by experimental validation. Furthermore, the accuracy is assessed by comparing the spectral content captured to period estimates derived from the fast Fourier transform (FFT) and Poincare-like sections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06511 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time-delayed Dynamic Mode Decomposition for families of periodic trajectories in Cislunar Space Narayanan, Sriram Mohamed, Mohamed Naveed Gul Nayak, Indranil Chakravorty, Suman Kumar, Mrinal Systems and Control Dynamical Systems In recent years, the development of the Lunar Gateway and Artemis missions has renewed interest in lunar exploration, including both manned and unmanned missions. This interest necessitates accurate initial orbit determination (IOD) and orbit prediction (OP) in this domain, which faces significant challenges such as severe nonlinearity, sensitivity to initial conditions, large state-space volume, and sparse, faint, and unreliable measurements. This paper explores the capability of data-driven Koopman operator-based approximations for OP in these scenarios. Three stable periodic trajectories from distinct cislunar families are analyzed. The analysis includes theoretical justification for using a linear time-invariant system as the data-driven surrogate. This theoretical framework is supported by experimental validation. Furthermore, the accuracy is assessed by comparing the spectral content captured to period estimates derived from the fast Fourier transform (FFT) and Poincare-like sections. |
| title | Time-delayed Dynamic Mode Decomposition for families of periodic trajectories in Cislunar Space |
| topic | Systems and Control Dynamical Systems |
| url | https://arxiv.org/abs/2411.06511 |