Some New Locally Optimal Control Laws for Sailcraft Dynamics in Heliocentric Orbits
The concept of solar sailing and its developing spacecraft is presented. The gravitational and solar radiation forces are considered. The effect of source of radiation pressure and the force due to coronal mass ejections and solar wind on the sailcraft configurations is modeled. Some analytical cont...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/353056 |
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| author | F. A. Abd El-Salam |
| author_facet | F. A. Abd El-Salam |
| author_sort | F. A. Abd El-Salam |
| collection | DOAJ |
| description | The concept of solar sailing and its developing spacecraft is presented. The gravitational and solar radiation forces are considered. The effect of source of radiation pressure and the force due to coronal mass ejections and solar wind on the sailcraft configurations is modeled. Some analytical control laws with some mentioned input constraints for optimizing sailcraft dynamics in heliocentric orbit using lagrange’s planetary equations are obtained. Optimum force vector in a required direction is maximized by deriving optimal sail cone angle. Ignoring the absorbed and diffusely reflected parts of the radiation, some special cases are obtained. New control laws that maximize thrust to obtain certain required maximization in some particular orbital element are obtained. |
| format | Article |
| id | doaj-art-40aeb5ac91dc422b9378b7d60d65a6bf |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-40aeb5ac91dc422b9378b7d60d65a6bf2025-08-20T02:39:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/353056353056Some New Locally Optimal Control Laws for Sailcraft Dynamics in Heliocentric OrbitsF. A. Abd El-Salam0Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah 433, Saudi ArabiaThe concept of solar sailing and its developing spacecraft is presented. The gravitational and solar radiation forces are considered. The effect of source of radiation pressure and the force due to coronal mass ejections and solar wind on the sailcraft configurations is modeled. Some analytical control laws with some mentioned input constraints for optimizing sailcraft dynamics in heliocentric orbit using lagrange’s planetary equations are obtained. Optimum force vector in a required direction is maximized by deriving optimal sail cone angle. Ignoring the absorbed and diffusely reflected parts of the radiation, some special cases are obtained. New control laws that maximize thrust to obtain certain required maximization in some particular orbital element are obtained.http://dx.doi.org/10.1155/2013/353056 |
| spellingShingle | F. A. Abd El-Salam Some New Locally Optimal Control Laws for Sailcraft Dynamics in Heliocentric Orbits Journal of Applied Mathematics |
| title | Some New Locally Optimal Control Laws for Sailcraft Dynamics in Heliocentric Orbits |
| title_full | Some New Locally Optimal Control Laws for Sailcraft Dynamics in Heliocentric Orbits |
| title_fullStr | Some New Locally Optimal Control Laws for Sailcraft Dynamics in Heliocentric Orbits |
| title_full_unstemmed | Some New Locally Optimal Control Laws for Sailcraft Dynamics in Heliocentric Orbits |
| title_short | Some New Locally Optimal Control Laws for Sailcraft Dynamics in Heliocentric Orbits |
| title_sort | some new locally optimal control laws for sailcraft dynamics in heliocentric orbits |
| url | http://dx.doi.org/10.1155/2013/353056 |
| work_keys_str_mv | AT faabdelsalam somenewlocallyoptimalcontrollawsforsailcraftdynamicsinheliocentricorbits |