Intermediate-Thrust Arcs and Their Optimality in a Central, Time-Invariant Force Field

被引：9

作者：

Archenti, A. R. ^{[1
]}

Vinh, N. X. ^{[2
]}

机构：

[1] Univ Nacl La Plata, Dept Aeronaut, La Plata, Buenos Aires, Argentina

[2] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1973年 / 11卷 / 03期

关键词：

D O I：

10.1007/BF00935198

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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 mu/r(n), 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.

引用

页码：293 / 304

页数：12