An Elementary Proof Of the Optimality of Hohmann Transfers
The Hohmann (1925) transfer is analytically proved by means of a gradient method to be the optimal two-impulse transfer between coplanar circular orbits in a central force field with a Newtonian attraction. By an extension of the method, it is further shown that a Hohmann-type transfer is the optima...
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| Veröffentlicht in: | Journal of guidance, control, and dynamics control, and dynamics, 1984-09, Vol.7 (5), p.629-630 |
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| container_end_page | 630 |
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| container_issue | 5 |
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| container_title | Journal of guidance, control, and dynamics |
| container_volume | 7 |
| creator | Palmore, Julian |
| description | The Hohmann (1925) transfer is analytically proved by means of a gradient method to be the optimal two-impulse transfer between coplanar circular orbits in a central force field with a Newtonian attraction. By an extension of the method, it is further shown that a Hohmann-type transfer is the optimal two-impulse transfer between coplanar orbits, one of which is circular and the other elliptical. The gradient method clearly shows that the characteristic velocity attains a minimum on the boundary of the region where the transfer orbits lie. |
| doi_str_mv | 10.2514/3.56375 |
| format | Article |
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By an extension of the method, it is further shown that a Hohmann-type transfer is the optimal two-impulse transfer between coplanar orbits, one of which is circular and the other elliptical. The gradient method clearly shows that the characteristic velocity attains a minimum on the boundary of the region where the transfer orbits lie.</description><identifier>ISSN: 0731-5090</identifier><identifier>EISSN: 1533-3884</identifier><identifier>DOI: 10.2514/3.56375</identifier><language>eng</language><publisher>Reston: American Institute of Aeronautics and Astronautics</publisher><subject>Aircraft ; Feedback ; Orbits ; Velocity</subject><ispartof>Journal of guidance, control, and dynamics, 1984-09, Vol.7 (5), p.629-630</ispartof><rights>Copyright American Institute of Aeronautics and Astronautics Sep/Oct 1984</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a345t-2d67aa269ba16c532a2d845ee2ed22e3660d282ce4603824ee86dc7fb02fcb383</citedby><cites>FETCH-LOGICAL-a345t-2d67aa269ba16c532a2d845ee2ed22e3660d282ce4603824ee86dc7fb02fcb383</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Palmore, Julian</creatorcontrib><title>An Elementary Proof Of the Optimality of Hohmann Transfers</title><title>Journal of guidance, control, and dynamics</title><description>The Hohmann (1925) transfer is analytically proved by means of a gradient method to be the optimal two-impulse transfer between coplanar circular orbits in a central force field with a Newtonian attraction. By an extension of the method, it is further shown that a Hohmann-type transfer is the optimal two-impulse transfer between coplanar orbits, one of which is circular and the other elliptical. 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By an extension of the method, it is further shown that a Hohmann-type transfer is the optimal two-impulse transfer between coplanar orbits, one of which is circular and the other elliptical. The gradient method clearly shows that the characteristic velocity attains a minimum on the boundary of the region where the transfer orbits lie.</abstract><cop>Reston</cop><pub>American Institute of Aeronautics and Astronautics</pub><doi>10.2514/3.56375</doi><tpages>2</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0731-5090 |
| ispartof | Journal of guidance, control, and dynamics, 1984-09, Vol.7 (5), p.629-630 |
| issn | 0731-5090 1533-3884 |
| language | eng |
| recordid | cdi_aiaa_journals_3_56375_pdf_fulltext |
| source | Alma/SFX Local Collection |
| subjects | Aircraft Feedback Orbits Velocity |
| title | An Elementary Proof Of the Optimality of Hohmann Transfers |
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