Intermediate-thrust arcs and their optimality in a central, time-invariant force field

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 gravitatio...

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Autores principales: Archenti, Aníbal R., Vinh, Nguyen X.
Formato: Articulo
Lenguaje:Inglés
Publicado: 1973
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123097
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id I19-R120-10915-123097
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
Ingeniería Aeronáutica
Optimality Condition
Force Field
Favorable Condition
General Equation
Gravitational Field
spellingShingle Ingeniería
Ingeniería Aeronáutica
Optimality Condition
Force Field
Favorable Condition
General Equation
Gravitational Field
Archenti, Aníbal R.
Vinh, Nguyen X.
Intermediate-thrust arcs and their optimality in a central, time-invariant force field
topic_facet Ingeniería
Ingeniería Aeronáutica
Optimality Condition
Force Field
Favorable Condition
General Equation
Gravitational Field
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.
format Articulo
Articulo
author Archenti, Aníbal R.
Vinh, Nguyen X.
author_facet Archenti, Aníbal R.
Vinh, Nguyen X.
author_sort Archenti, Aníbal R.
title Intermediate-thrust arcs and their optimality in a central, time-invariant force 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
publishDate 1973
url http://sedici.unlp.edu.ar/handle/10915/123097
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AT vinhnguyenx intermediatethrustarcsandtheiroptimalityinacentraltimeinvariantforcefield
bdutipo_str Repositorios
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