Drift and Its Mediation in Terrestrial Orbits
The slow deformation of terrestrial orbits in the medium range, subject to lunisolar resonances, is well approximated by a family of Hamiltonian flow with 2.5 degree-of-freedom. The action variables of the system may experience chaotic variations and large drift that we may quantify. Using variation...
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| Published in | Frontiers in applied mathematics and statistics Vol. 4 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Frontiers Media S.A
21.08.2018
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| ISSN | 2297-4687 2297-4687 |
| DOI | 10.3389/fams.2018.00035 |
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| Abstract | The slow deformation of terrestrial orbits in the medium range, subject to lunisolar resonances, is well approximated by a family of Hamiltonian flow with 2.5 degree-of-freedom. The action variables of the system may experience chaotic variations and large drift that we may quantify. Using variational chaos indicators, we compute high-resolution portraits of the action space. Such refined meshes allow to reveal the existence of tori and structures filling chaotic regions. Our elaborate computations allow us to isolate precise initial conditions near specific zones of interest and study their asymptotic behaviour in time. Borrowing classical techniques of phase-space visualization, we highlight how the drift is mediated by the complement of the numerically detected KAM tori. |
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| AbstractList | The slow deformation of terrestrial orbits in the medium range, subject to lunisolar resonances, is well approximated by a family of Hamiltonian flow with 2.5 degree-of-freedom. The action variables of the system may experience chaotic variations and large drift that we may quantify. Using variational chaos indicators, we compute high-resolution portraits of the action space. Such refined meshes allow to reveal the existence of tori and structures filling chaotic regions. Our elaborate computations allow us to isolate precise initial conditions near specific zones of interest and study their asymptotic behaviour in time. Borrowing classical techniques of phase-space visualization, we highlight how the drift is mediated by the complement of the numerically detected KAM tori. |
| Author | Daquin, Jérôme Gkolias, Ioannis Rosengren, Aaron J. |
| Author_xml | – sequence: 1 givenname: Jérôme surname: Daquin fullname: Daquin, Jérôme – sequence: 2 givenname: Ioannis surname: Gkolias fullname: Gkolias, Ioannis – sequence: 3 givenname: Aaron J. surname: Rosengren fullname: Rosengren, Aaron J. |
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| CitedBy_id | crossref_primary_10_1007_s10569_019_9895_3 crossref_primary_10_1016_j_cnsns_2020_105414 crossref_primary_10_1007_s10569_019_9938_9 crossref_primary_10_1007_s10569_023_10143_6 crossref_primary_10_1063_5_0130682 crossref_primary_10_1007_s11071_021_06708_5 crossref_primary_10_1016_j_actaastro_2024_09_051 |
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| Title | Drift and Its Mediation in Terrestrial Orbits |
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