Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 2, Pages 62–66 (Mi vmumm312)  

This article is cited in 4 scientific papers (total in 4 papers)

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Optimization of expedition to Phobos using the impulse control and solution to Lambert problems taking into account attraction of the earth and mars

A. S. Samokhin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (325 kB) Citations (4)
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Abstract: The trajectory of expedition to Mars and its satellite Phobos with returning to the Earth is optimized. The attraction of the Sun or the Earth or Mars is considered at each part of the trajectory. The Earth and Mars positions correspond to ephemerides DE424, and the position of Phobos — to ephemerides MAR097. Not more than 6 impulses are assumed at the trajectory. Spacecraft must start from the Earth in the period of 2020–2030 and stay at Phobos at least for 30 days. The total time of the expedition is limited to 1500 days. The characteristic velocity is minimized.
Key words: interplanetary transfer optimization, expedition to Phobos, Lambert's problem.
Received: 15.04.2013
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 2, Pages 84–87
DOI: https://doi.org/10.3103/S0027132214020089
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. S. Samokhin, “Optimization of expedition to Phobos using the impulse control and solution to Lambert problems taking into account attraction of the earth and mars”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 2, 62–66; Moscow University Mathematics Bulletin, 69:2 (2014), 84–87
Citation in format AMSBIB
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\by A.~S.~Samokhin
\paper Optimization of expedition to Phobos using the impulse control and solution to Lambert problems taking into account attraction of the earth and mars
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 2
\pages 62--66
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3299489}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 2
\pages 84--87
\crossref{https://doi.org/10.3103/S0027132214020089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899837426}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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