Analytical and numerical approaches to study the gravitational capture in the four-body problem



Document title: Analytical and numerical approaches to study the gravitational capture in the four-body problem
Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Database: PERIÓDICA
System number: 000312318
ISSN: 1678-5878
Authors: 1
Institutions: 1Instituto Nacional de Pesquisas Espaciais, Sao Jose dos Campos, Sao Paulo. Brasil
Year:
Season: Jul-Sep
Volumen: 28
Number: 3
Pages: 347-353
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English abstract The objective of this paper is to study the problem of gravitational capture in the bi-circular restricted four-body problem. A gravitational capture occurs when a massless particle changes its two-body energy around one celestial body from positive to negative without the use of non-gravitational forces. It is mainly studied the effect of the fourth-body included in the dynamics. The Earth-Moon system with the inclusion of the Sun is used for the numerical simulations. The results show the savings obtained in this more realistic model when compared with the more traditional restricted three-body problem model. It is clear that large savings are obtained thanks to the effect of the Sun, if a proper geometry is used for the maneuver
Disciplines: Física y astronomía
Keyword: Astronomía,
Astrofísica,
Astrodinámica,
Gravitación,
Problema de cuatro cuerpos
Keyword: Physics and astronomy,
Astronomy,
Astrodynamics,
Gravitation,
Astrophysics,
Four-body problem
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