A Universal Property of the Jacobi Integral for Gravity Assists in the Solar System

This paper shows that the standard and cumbersome method of traditional justification of constancy of an asymptotic velocity in gravity assists, in the model of the circular restricted three-body problem (RTBP), which is applied in the modern astrodynamics, can be fundamentally simplified. Updated f...

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Veröffentlicht in:	Cosmic research 2020-07, Vol.58 (4), p.277-284
Hauptverfasser:	Golubev, Yu. F., Grushevskii, A. V., Koryanov, V. V., Tuchin, A. G., Tuchin, D. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Astrodynamics Astronomy Astrophysics and Astroparticles Astrophysics and Cosmology Asymptotic methods Gravitation Jacobi integral Physics Physics and Astronomy Solar system Space Exploration and Astronautics Space Sciences (including Extraterrestrial Physics Three body problem
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Beschreibung
Zusammenfassung:	This paper shows that the standard and cumbersome method of traditional justification of constancy of an asymptotic velocity in gravity assists, in the model of the circular restricted three-body problem (RTBP), which is applied in the modern astrodynamics, can be fundamentally simplified. Updated forms of the Jacobi integral are presented, which allow one, among other things, to reveal a transparent relationship between the Jacobi integral and the method of conjugate conic sections in the RTBP.
ISSN:	0010-9525 1608-3075
DOI:	10.1134/S0010952520040061