Dynamics of Orbits Near 3:1 Resonance in the Earth-Moon System
Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 y...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dichmann, Donald J. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© American Astronautical Society (Outside the USA) 2014 |
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| Übergeordnetes Werk: |
Enthalten in: The journal of the astronautical sciences - Springer US, 1958, 60(2013), 1 vom: März, Seite 51-86 |
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| Übergeordnetes Werk: |
volume:60 ; year:2013 ; number:1 ; month:03 ; pages:51-86 |
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| DOI / URN: |
10.1007/s40295-014-0009-x |
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OLC2094902498 |
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| 520 | |a Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. | ||
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| 700 | 1 | |a Carrico, John P. |4 aut | |
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10.1007/s40295-014-0009-x doi (DE-627)OLC2094902498 (DE-He213)s40295-014-0009-x-p DE-627 ger DE-627 rakwb eng 620 VZ Dichmann, Donald J. verfasserin aut Dynamics of Orbits Near 3:1 Resonance in the Earth-Moon System 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © American Astronautical Society (Outside the USA) 2014 Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. Resonant orbit Periodic orbit Stability Bifurcation Lebois, Ryan aut Carrico, John P. aut Enthalten in The journal of the astronautical sciences Springer US, 1958 60(2013), 1 vom: März, Seite 51-86 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:60 year:2013 number:1 month:03 pages:51-86 https://doi.org/10.1007/s40295-014-0009-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 60 2013 1 03 51-86 |
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10.1007/s40295-014-0009-x doi (DE-627)OLC2094902498 (DE-He213)s40295-014-0009-x-p DE-627 ger DE-627 rakwb eng 620 VZ Dichmann, Donald J. verfasserin aut Dynamics of Orbits Near 3:1 Resonance in the Earth-Moon System 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © American Astronautical Society (Outside the USA) 2014 Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. Resonant orbit Periodic orbit Stability Bifurcation Lebois, Ryan aut Carrico, John P. aut Enthalten in The journal of the astronautical sciences Springer US, 1958 60(2013), 1 vom: März, Seite 51-86 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:60 year:2013 number:1 month:03 pages:51-86 https://doi.org/10.1007/s40295-014-0009-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 60 2013 1 03 51-86 |
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10.1007/s40295-014-0009-x doi (DE-627)OLC2094902498 (DE-He213)s40295-014-0009-x-p DE-627 ger DE-627 rakwb eng 620 VZ Dichmann, Donald J. verfasserin aut Dynamics of Orbits Near 3:1 Resonance in the Earth-Moon System 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © American Astronautical Society (Outside the USA) 2014 Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. Resonant orbit Periodic orbit Stability Bifurcation Lebois, Ryan aut Carrico, John P. aut Enthalten in The journal of the astronautical sciences Springer US, 1958 60(2013), 1 vom: März, Seite 51-86 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:60 year:2013 number:1 month:03 pages:51-86 https://doi.org/10.1007/s40295-014-0009-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 60 2013 1 03 51-86 |
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10.1007/s40295-014-0009-x doi (DE-627)OLC2094902498 (DE-He213)s40295-014-0009-x-p DE-627 ger DE-627 rakwb eng 620 VZ Dichmann, Donald J. verfasserin aut Dynamics of Orbits Near 3:1 Resonance in the Earth-Moon System 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © American Astronautical Society (Outside the USA) 2014 Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. Resonant orbit Periodic orbit Stability Bifurcation Lebois, Ryan aut Carrico, John P. aut Enthalten in The journal of the astronautical sciences Springer US, 1958 60(2013), 1 vom: März, Seite 51-86 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:60 year:2013 number:1 month:03 pages:51-86 https://doi.org/10.1007/s40295-014-0009-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 60 2013 1 03 51-86 |
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10.1007/s40295-014-0009-x doi (DE-627)OLC2094902498 (DE-He213)s40295-014-0009-x-p DE-627 ger DE-627 rakwb eng 620 VZ Dichmann, Donald J. verfasserin aut Dynamics of Orbits Near 3:1 Resonance in the Earth-Moon System 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © American Astronautical Society (Outside the USA) 2014 Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. Resonant orbit Periodic orbit Stability Bifurcation Lebois, Ryan aut Carrico, John P. aut Enthalten in The journal of the astronautical sciences Springer US, 1958 60(2013), 1 vom: März, Seite 51-86 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:60 year:2013 number:1 month:03 pages:51-86 https://doi.org/10.1007/s40295-014-0009-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 60 2013 1 03 51-86 |
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Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. © American Astronautical Society (Outside the USA) 2014 |
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Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. © American Astronautical Society (Outside the USA) 2014 |
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Abstract The Interstellar Boundary Explorer (IBEX) spacecraft is currently in a highly elliptical orbit around Earth with a period near 3:1 resonance with the Moon. Its orbit is oriented so that apogee does not approach the Moon. Simulations show this orbit to be remarkably stable over the next 20 years. This article examines the dynamics of such orbits in the Circular Restricted 3-Body Problem (CR3BP). We look at three types of periodic orbits, each exhibiting a type of symmetry of the CR3BP. For each of the orbit types, we assess the local stability using Floquet analysis. Although not all of the periodic solutions are stable in the mathematical sense, any divergence is so slow as to produce practical stability over several decades. We use Poincaré maps with twenty-year propagations to assess the nonlinear stability of the orbits, where the perturbation magnitudes are related to the orbit uncertainty for the IBEX mission. Finally we show that these orbits belong to a family of orbits connected in a bifurcation diagram that exhibits exchange of stability. The analysis of these families of period orbits provides a valuable starting point for a mission orbit trade study. © American Astronautical Society (Outside the USA) 2014 |
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Dynamics of Orbits Near 3:1 Resonance in the Earth-Moon System |
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Lebois, Ryan Carrico, John P. |
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