On the Bound of Tschauner-Hempel Equations’ Error with Respect to Keplerian Motion
This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error,...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hu, Yong [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Rechteinformationen: |
Nutzungsrecht: © American Astronautical Society 2015 |
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| Schlagwörter: |
Extraterrestrial Physics, Space Sciences Mathematical Applications in the Physical Sciences |
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| Übergeordnetes Werk: |
Enthalten in: The journal of the astronautical sciences - Washington, DC : Springer, 1958, 61(2014), 2, Seite 156-169 |
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| Übergeordnetes Werk: |
volume:61 ; year:2014 ; number:2 ; pages:156-169 |
| Links: |
|---|
| DOI / URN: |
10.1007/s40295-015-0044-2 |
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OLC1964737923 |
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| 520 | |a This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. | ||
| 540 | |a Nutzungsrecht: © American Astronautical Society 2015 | ||
| 650 | 4 | |a Extraterrestrial Physics, Space Sciences | |
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Elliptical rendezvous | |
| 650 | 4 | |a Tschauner-Hempel equations | |
| 650 | 4 | |a Mathematical Applications in the Physical Sciences | |
| 650 | 4 | |a Aerospace Technology and Astronautics | |
| 650 | 4 | |a Keplerian motion | |
| 700 | 1 | |a Xie, Yongchun |4 oth | |
| 700 | 1 | |a Jiang, Tiantian |4 oth | |
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10.1007/s40295-015-0044-2 doi PQ20160617 (DE-627)OLC1964737923 (DE-599)GBVOLC1964737923 (PRQ)c774-97b37c947bc6dd2e4a1937c430b016f1711710145de57e41654926bb0c84344f0 (KEY)0035181420140000061000200156ontheboundoftschaunerhempelequationserrorwithrespe DE-627 ger DE-627 rakwb eng 620 DE-600 Hu, Yong verfasserin aut On the Bound of Tschauner-Hempel Equations’ Error with Respect to Keplerian Motion 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. Nutzungsrecht: © American Astronautical Society 2015 Extraterrestrial Physics, Space Sciences Engineering Elliptical rendezvous Tschauner-Hempel equations Mathematical Applications in the Physical Sciences Aerospace Technology and Astronautics Keplerian motion Xie, Yongchun oth Jiang, Tiantian oth Enthalten in The journal of the astronautical sciences Washington, DC : Springer, 1958 61(2014), 2, Seite 156-169 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:61 year:2014 number:2 pages:156-169 http://dx.doi.org/10.1007/s40295-015-0044-2 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 61 2014 2 156-169 |
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10.1007/s40295-015-0044-2 doi PQ20160617 (DE-627)OLC1964737923 (DE-599)GBVOLC1964737923 (PRQ)c774-97b37c947bc6dd2e4a1937c430b016f1711710145de57e41654926bb0c84344f0 (KEY)0035181420140000061000200156ontheboundoftschaunerhempelequationserrorwithrespe DE-627 ger DE-627 rakwb eng 620 DE-600 Hu, Yong verfasserin aut On the Bound of Tschauner-Hempel Equations’ Error with Respect to Keplerian Motion 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. Nutzungsrecht: © American Astronautical Society 2015 Extraterrestrial Physics, Space Sciences Engineering Elliptical rendezvous Tschauner-Hempel equations Mathematical Applications in the Physical Sciences Aerospace Technology and Astronautics Keplerian motion Xie, Yongchun oth Jiang, Tiantian oth Enthalten in The journal of the astronautical sciences Washington, DC : Springer, 1958 61(2014), 2, Seite 156-169 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:61 year:2014 number:2 pages:156-169 http://dx.doi.org/10.1007/s40295-015-0044-2 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 61 2014 2 156-169 |
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10.1007/s40295-015-0044-2 doi PQ20160617 (DE-627)OLC1964737923 (DE-599)GBVOLC1964737923 (PRQ)c774-97b37c947bc6dd2e4a1937c430b016f1711710145de57e41654926bb0c84344f0 (KEY)0035181420140000061000200156ontheboundoftschaunerhempelequationserrorwithrespe DE-627 ger DE-627 rakwb eng 620 DE-600 Hu, Yong verfasserin aut On the Bound of Tschauner-Hempel Equations’ Error with Respect to Keplerian Motion 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. Nutzungsrecht: © American Astronautical Society 2015 Extraterrestrial Physics, Space Sciences Engineering Elliptical rendezvous Tschauner-Hempel equations Mathematical Applications in the Physical Sciences Aerospace Technology and Astronautics Keplerian motion Xie, Yongchun oth Jiang, Tiantian oth Enthalten in The journal of the astronautical sciences Washington, DC : Springer, 1958 61(2014), 2, Seite 156-169 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:61 year:2014 number:2 pages:156-169 http://dx.doi.org/10.1007/s40295-015-0044-2 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 61 2014 2 156-169 |
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10.1007/s40295-015-0044-2 doi PQ20160617 (DE-627)OLC1964737923 (DE-599)GBVOLC1964737923 (PRQ)c774-97b37c947bc6dd2e4a1937c430b016f1711710145de57e41654926bb0c84344f0 (KEY)0035181420140000061000200156ontheboundoftschaunerhempelequationserrorwithrespe DE-627 ger DE-627 rakwb eng 620 DE-600 Hu, Yong verfasserin aut On the Bound of Tschauner-Hempel Equations’ Error with Respect to Keplerian Motion 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. Nutzungsrecht: © American Astronautical Society 2015 Extraterrestrial Physics, Space Sciences Engineering Elliptical rendezvous Tschauner-Hempel equations Mathematical Applications in the Physical Sciences Aerospace Technology and Astronautics Keplerian motion Xie, Yongchun oth Jiang, Tiantian oth Enthalten in The journal of the astronautical sciences Washington, DC : Springer, 1958 61(2014), 2, Seite 156-169 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:61 year:2014 number:2 pages:156-169 http://dx.doi.org/10.1007/s40295-015-0044-2 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 61 2014 2 156-169 |
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10.1007/s40295-015-0044-2 doi PQ20160617 (DE-627)OLC1964737923 (DE-599)GBVOLC1964737923 (PRQ)c774-97b37c947bc6dd2e4a1937c430b016f1711710145de57e41654926bb0c84344f0 (KEY)0035181420140000061000200156ontheboundoftschaunerhempelequationserrorwithrespe DE-627 ger DE-627 rakwb eng 620 DE-600 Hu, Yong verfasserin aut On the Bound of Tschauner-Hempel Equations’ Error with Respect to Keplerian Motion 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. Nutzungsrecht: © American Astronautical Society 2015 Extraterrestrial Physics, Space Sciences Engineering Elliptical rendezvous Tschauner-Hempel equations Mathematical Applications in the Physical Sciences Aerospace Technology and Astronautics Keplerian motion Xie, Yongchun oth Jiang, Tiantian oth Enthalten in The journal of the astronautical sciences Washington, DC : Springer, 1958 61(2014), 2, Seite 156-169 (DE-627)12935905X (DE-600)160505-7 (DE-576)014731371 0021-9142 nnns volume:61 year:2014 number:2 pages:156-169 http://dx.doi.org/10.1007/s40295-015-0044-2 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-AST SSG-OPC-AST GBV_ILN_70 GBV_ILN_2018 AR 61 2014 2 156-169 |
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On the Bound of Tschauner-Hempel Equations’ Error with Respect to Keplerian Motion |
| abstract |
This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. |
| abstractGer |
This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. |
| abstract_unstemmed |
This paper addresses theoretical analysis of the error of TH equations with respect to relative motion equations based on Keplerian orbits. By solving a second-order integral inequality, we derive a bound function of the error. The bound function depends on initial true anomaly, initial state error, eccentricity of target orbit, and current true anomaly. Using this result, we can easily calculate the moment of impulse for correction in a multi-impulsive elliptical rendezvous based on TH equations so as to guarantee the terminal relative position and velocity errors in certain ranges. The proposed result is also illustrated by simulations of elliptical rendezvous. |
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| title_short |
On the Bound of Tschauner-Hempel Equations’ Error with Respect to Keplerian Motion |
| url |
http://dx.doi.org/10.1007/s40295-015-0044-2 |
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| author2 |
Xie, Yongchun Jiang, Tiantian |
| author2Str |
Xie, Yongchun Jiang, Tiantian |
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| doi_str |
10.1007/s40295-015-0044-2 |
| up_date |
2024-07-03T15:07:00.008Z |
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