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Avtomatika i Telemekhanika, 2007, Issue 8, Pages 86–105 (Mi at1034)  

This article is cited in 2 scientific papers (total in 2 papers)

Optimization of interorbital three-dimensional transfer trajectories for stage spacecraft

I. S. Grigorieva, I. A. Danilinab

a M. V. Lomonosov Moscow State University
b Tsiolkovsky State Aviation Technological University, Moscow, Russia
Full-text PDF (296 kB) Citations (2)
References:
Abstract: Problems of three-dimensional trajectory optimization of transfers for stage spacecraft and spacecraft with auxiliary fuel tank (AFT) from the low circuit orbit of the Earth's artificial satellite (EAS) into the geostationary orbit and optimization problems of fuel distribution in stages or tanks are solved. Control of spacecraft motion is conducted by jet engines of bounded thrust; stage engines can have different characteristics, i.e., thrust-to-weight ratio and specific thrust. The used stage or auxiliary fuel tank is detached on the passive segment. Detachment is considered to be instantaneous, if the spacecraft position and velocity do not change at the detachment instant and the mass decreases in jumping mode. The mass of detached tanks is considered proportionate to the mass of consumed fuel; the mass of engine and auxiliary constructions, to thrust-to-weight ratio. The useful mass of the spacecraft with the limited time of transfer is maximized. The considered problems are intricate nonlinear optimal control problems with discontinuous phase variables. They are formalized as optimal control problems by a union of dynamic systems and are solved on the basis of the corresponding principle of the maximum. In this paper, boundary-value problems of the principle of the maximum are numerically solved by the shooting method. The choice of computing schemes of the shooting method and solution to systems of nonlinear equations is conducted by using a series of auxiliary problems.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 15.02.2007
English version:
Automation and Remote Control, 2007, Volume 68, Issue 8, Pages 1372–1390
DOI: https://doi.org/10.1134/S0005117907080097
Bibliographic databases:
Document Type: Article
PACS: 02.60.Pn, 45.80.+r
Language: Russian
Citation: I. S. Grigoriev, I. A. Danilina, “Optimization of interorbital three-dimensional transfer trajectories for stage spacecraft”, Avtomat. i Telemekh., 2007, no. 8, 86–105; Autom. Remote Control, 68:8 (2007), 1372–1390
Citation in format AMSBIB
\Bibitem{GriDan07}
\by I.~S.~Grigoriev, I.~A.~Danilina
\paper Optimization of interorbital three-dimensional transfer trajectories for stage spacecraft
\jour Avtomat. i Telemekh.
\yr 2007
\issue 8
\pages 86--105
\mathnet{http://mi.mathnet.ru/at1034}
\zmath{https://zbmath.org/?q=an:1145.93309}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 8
\pages 1372--1390
\crossref{https://doi.org/10.1134/S0005117907080097}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548423293}
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  • https://www.mathnet.ru/eng/at/y2007/i8/p86
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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