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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 034, 24 pp.
DOI: https://doi.org/10.20948/prepr-2019-34 (Mi ipmp2672) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The basic property of the Jacobi integral for gravity assists maneuvers in the Solar system

Yu. F. Golubev, A. V. Grushevskii, V. V. Koryanov, A. G. Tuchin, D. A. Tuchin
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DOI: https://doi.org/10.20948/prepr-2019-34
Abstract: It is shown that the standard and bulky method of the general used revealing of the asymptotic velocity invariance during gravity assists maneuvers in the model of the circular restricted three body problem (RTBP), used in modern astrodynamics, can be significantly simplified. The refined forms of the Jacobi integral are presented, which allow, among others, to reveal the transparent relationship of the Jacobi integral and the patched conics method in a RTBP.
Keywords: restricted three body problem, Jacobi integral, Tisserand’s parameter, asymptotic velocity, gravity assist maneuver.
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Document Type: Preprint
Language: Russian
Citation: Yu. F. Golubev, A. V. Grushevskii, V. V. Koryanov, A. G. Tuchin, D. A. Tuchin, “The basic property of the Jacobi integral for gravity assists maneuvers in the Solar system”, Keldysh Institute preprints, 2019, 034, 24 pp.
Citation in format AMSBIB
\Bibitem{GolGruKor19}
\by Yu.~F.~Golubev, A.~V.~Grushevskii, V.~V.~Koryanov, A.~G.~Tuchin, D.~A.~Tuchin
\paper The basic property of the Jacobi integral for gravity assists maneuvers in the Solar system
\jour Keldysh Institute preprints
\yr 2019
\papernumber 034
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp2672}
\crossref{https://doi.org/10.20948/prepr-2019-34}
\elib{https://elibrary.ru/item.asp?id=37620174}
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  • https://www.mathnet.ru/eng/ipmp/y2019/p34
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Full-text PDF :33
    References:16
     
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