Intermediate-thrust arcs and their optimality in a central, time-invariant force field
- Autores
- Archenti, Aníbal R.; Vinh, Nguyen X.
- Año de publicación
- 1973
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- This paper presents the general equations of the intermediate-thrust arcs in a general, time-invariant, central force field. Two families of planar arcs, namely, the family of Lawden's spirals in the equatorial plane of an oblate planet and the family of intermediate-thrust arcs in a gravitational field of the form μ/rn, have been considered in detail. The Kelley-Contensou condition has been used to test their optimality condition. It is shown that, in the first case, there exist portions of the arcs at a finite distance satisfying the condition, while, in the second case, the entire family satisfies the condition for n ≥ 3. Hence, in a perturbed Newtonian gravitational force field, the intermediate-thrust arcs, under certain favorable conditions, can be part of an optimal trajectory.
Facultad de Ingeniería - Materia
-
Ingeniería
Ingeniería Aeronáutica
Optimality Condition
Force Field
Favorable Condition
General Equation
Gravitational Field - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/123097
Ver los metadatos del registro completo
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Intermediate-thrust arcs and their optimality in a central, time-invariant force fieldArchenti, Aníbal R.Vinh, Nguyen X.IngenieríaIngeniería AeronáuticaOptimality ConditionForce FieldFavorable ConditionGeneral EquationGravitational FieldThis paper presents the general equations of the intermediate-thrust arcs in a general, time-invariant, central force field. Two families of planar arcs, namely, the family of Lawden's spirals in the equatorial plane of an oblate planet and the family of intermediate-thrust arcs in a gravitational field of the form μ/r<sup>n</sup>, have been considered in detail. The Kelley-Contensou condition has been used to test their optimality condition. It is shown that, in the first case, there exist portions of the arcs at a finite distance satisfying the condition, while, in the second case, the entire family satisfies the condition for n ≥ 3. Hence, in a perturbed Newtonian gravitational force field, the intermediate-thrust arcs, under certain favorable conditions, can be part of an optimal trajectory.Facultad de Ingeniería1973info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf293-304http://sedici.unlp.edu.ar/handle/10915/123097enginfo:eu-repo/semantics/altIdentifier/issn/0022-3239info:eu-repo/semantics/altIdentifier/issn/1573-2878info:eu-repo/semantics/altIdentifier/doi/10.1007/bf00935198info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2026-04-15T11:36:20Zoai:sedici.unlp.edu.ar:10915/123097Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292026-04-15 11:36:21.003SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Intermediate-thrust arcs and their optimality in a central, time-invariant force field |
| title |
Intermediate-thrust arcs and their optimality in a central, time-invariant force field |
| spellingShingle |
Intermediate-thrust arcs and their optimality in a central, time-invariant force field Archenti, Aníbal R. Ingeniería Ingeniería Aeronáutica Optimality Condition Force Field Favorable Condition General Equation Gravitational Field |
| title_short |
Intermediate-thrust arcs and their optimality in a central, time-invariant force field |
| title_full |
Intermediate-thrust arcs and their optimality in a central, time-invariant force field |
| title_fullStr |
Intermediate-thrust arcs and their optimality in a central, time-invariant force field |
| title_full_unstemmed |
Intermediate-thrust arcs and their optimality in a central, time-invariant force field |
| title_sort |
Intermediate-thrust arcs and their optimality in a central, time-invariant force field |
| dc.creator.none.fl_str_mv |
Archenti, Aníbal R. Vinh, Nguyen X. |
| author |
Archenti, Aníbal R. |
| author_facet |
Archenti, Aníbal R. Vinh, Nguyen X. |
| author_role |
author |
| author2 |
Vinh, Nguyen X. |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Ingeniería Ingeniería Aeronáutica Optimality Condition Force Field Favorable Condition General Equation Gravitational Field |
| topic |
Ingeniería Ingeniería Aeronáutica Optimality Condition Force Field Favorable Condition General Equation Gravitational Field |
| dc.description.none.fl_txt_mv |
This paper presents the general equations of the intermediate-thrust arcs in a general, time-invariant, central force field. Two families of planar arcs, namely, the family of Lawden's spirals in the equatorial plane of an oblate planet and the family of intermediate-thrust arcs in a gravitational field of the form μ/r<sup>n</sup>, have been considered in detail. The Kelley-Contensou condition has been used to test their optimality condition. It is shown that, in the first case, there exist portions of the arcs at a finite distance satisfying the condition, while, in the second case, the entire family satisfies the condition for n ≥ 3. Hence, in a perturbed Newtonian gravitational force field, the intermediate-thrust arcs, under certain favorable conditions, can be part of an optimal trajectory. Facultad de Ingeniería |
| description |
This paper presents the general equations of the intermediate-thrust arcs in a general, time-invariant, central force field. Two families of planar arcs, namely, the family of Lawden's spirals in the equatorial plane of an oblate planet and the family of intermediate-thrust arcs in a gravitational field of the form μ/r<sup>n</sup>, have been considered in detail. The Kelley-Contensou condition has been used to test their optimality condition. It is shown that, in the first case, there exist portions of the arcs at a finite distance satisfying the condition, while, in the second case, the entire family satisfies the condition for n ≥ 3. Hence, in a perturbed Newtonian gravitational force field, the intermediate-thrust arcs, under certain favorable conditions, can be part of an optimal trajectory. |
| publishDate |
1973 |
| dc.date.none.fl_str_mv |
1973 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/123097 |
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http://sedici.unlp.edu.ar/handle/10915/123097 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/issn/0022-3239 info:eu-repo/semantics/altIdentifier/issn/1573-2878 info:eu-repo/semantics/altIdentifier/doi/10.1007/bf00935198 |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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