An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station
| ISSN: |
1572-9478
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Physics
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| Notes: |
Abstract The motion of an unpowered probe, ejected into an elliptic orbit in the orbital plane of a space station in circular orbit, is investigated from a reference system attached to the space station. Existing approximate solutions to this relative trajectory problem, of two bodies in Keplerian orbits about the same primary, are restricted to small relative displacements. A new first-order solution is derived from an exact solution: no restriction is placed on the relative displacement and the solution osculates with the exact solution at points corresponding to perigee and apogee of the probe's orbit. A geometrical description of the trajectories is given in terms of prolate cycloids plotted in a curvilinear coordinate system.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798296434039062529 |
|---|---|
| autor | Berreen, T. F. Crisp, J. D. C. |
| autorsonst | Berreen, T. F. Crisp, J. D. C. |
| book_url | http://dx.doi.org/10.1007/BF01228535 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLM193553686 |
| issn | 1572-9478 |
| journal_name | Celestial mechanics and dynamical astronomy |
| materialart | 1 |
| notes | Abstract The motion of an unpowered probe, ejected into an elliptic orbit in the orbital plane of a space station in circular orbit, is investigated from a reference system attached to the space station. Existing approximate solutions to this relative trajectory problem, of two bodies in Keplerian orbits about the same primary, are restricted to small relative displacements. A new first-order solution is derived from an exact solution: no restriction is placed on the relative displacement and the solution osculates with the exact solution at points corresponding to perigee and apogee of the probe's orbit. A geometrical description of the trajectories is given in terms of prolate cycloids plotted in a curvilinear coordinate system. |
| package_name | Springer |
| publikationsjahr_anzeige | 1976 |
| publikationsjahr_facette | 1976 |
| publikationsjahr_intervall | 8024:1975-1979 |
| publikationsjahr_sort | 1976 |
| publisher | Springer |
| reference | 13 (1976), S. 75-88 |
| search_space | articles |
| shingle_author_1 | Berreen, T. F. Crisp, J. D. C. |
| shingle_author_2 | Berreen, T. F. Crisp, J. D. C. |
| shingle_author_3 | Berreen, T. F. Crisp, J. D. C. |
| shingle_author_4 | Berreen, T. F. Crisp, J. D. C. |
| shingle_catch_all_1 | Berreen, T. F. Crisp, J. D. C. An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station Abstract The motion of an unpowered probe, ejected into an elliptic orbit in the orbital plane of a space station in circular orbit, is investigated from a reference system attached to the space station. Existing approximate solutions to this relative trajectory problem, of two bodies in Keplerian orbits about the same primary, are restricted to small relative displacements. A new first-order solution is derived from an exact solution: no restriction is placed on the relative displacement and the solution osculates with the exact solution at points corresponding to perigee and apogee of the probe's orbit. A geometrical description of the trajectories is given in terms of prolate cycloids plotted in a curvilinear coordinate system. 1572-9478 15729478 Springer |
| shingle_catch_all_2 | Berreen, T. F. Crisp, J. D. C. An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station Abstract The motion of an unpowered probe, ejected into an elliptic orbit in the orbital plane of a space station in circular orbit, is investigated from a reference system attached to the space station. Existing approximate solutions to this relative trajectory problem, of two bodies in Keplerian orbits about the same primary, are restricted to small relative displacements. A new first-order solution is derived from an exact solution: no restriction is placed on the relative displacement and the solution osculates with the exact solution at points corresponding to perigee and apogee of the probe's orbit. A geometrical description of the trajectories is given in terms of prolate cycloids plotted in a curvilinear coordinate system. 1572-9478 15729478 Springer |
| shingle_catch_all_3 | Berreen, T. F. Crisp, J. D. C. An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station Abstract The motion of an unpowered probe, ejected into an elliptic orbit in the orbital plane of a space station in circular orbit, is investigated from a reference system attached to the space station. Existing approximate solutions to this relative trajectory problem, of two bodies in Keplerian orbits about the same primary, are restricted to small relative displacements. A new first-order solution is derived from an exact solution: no restriction is placed on the relative displacement and the solution osculates with the exact solution at points corresponding to perigee and apogee of the probe's orbit. A geometrical description of the trajectories is given in terms of prolate cycloids plotted in a curvilinear coordinate system. 1572-9478 15729478 Springer |
| shingle_catch_all_4 | Berreen, T. F. Crisp, J. D. C. An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station Abstract The motion of an unpowered probe, ejected into an elliptic orbit in the orbital plane of a space station in circular orbit, is investigated from a reference system attached to the space station. Existing approximate solutions to this relative trajectory problem, of two bodies in Keplerian orbits about the same primary, are restricted to small relative displacements. A new first-order solution is derived from an exact solution: no restriction is placed on the relative displacement and the solution osculates with the exact solution at points corresponding to perigee and apogee of the probe's orbit. A geometrical description of the trajectories is given in terms of prolate cycloids plotted in a curvilinear coordinate system. 1572-9478 15729478 Springer |
| shingle_title_1 | An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station |
| shingle_title_2 | An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station |
| shingle_title_3 | An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station |
| shingle_title_4 | An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station |
| sigel_instance_filter | dkfz geomar wilbert ipn albert fhp |
| source_archive | Springer Online Journal Archives 1860-2000 |
| timestamp | 2024-05-06T09:52:02.158Z |
| titel | An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station |
| titel_suche | An exact and a new first-order solution for the relative trajectories of a probe ejected from a space station |
| topic | U |
| uid | nat_lic_papers_NLM193553686 |