@Article{FormigaSant:2015:AnDeTh,
author = "Formiga, Jorge Kennety da Silva and Santos, Denilson Paulo Souza
dos",
affiliation = "{Faculdade de Tecnologia (FATEC)} and {Instituto Nacional de
Pesquisas Espaciais (INPE)}",
title = "An analytical description of the three-dimensional swing-by",
journal = "Computational and Applied Mathematics",
year = "2015",
volume = "34",
number = "2",
pages = "491--506",
month = "July",
keywords = "Gravity assist, Orbital maneuver, Swing-by.",
abstract = "This paper presents an analytical description of the
three-dimensional swing-by. The main goal is to derive analytical
equations for the variations of all the orbital elements of a
particle that makes a close approach with a celestial body. Those
derivations are based in the {"}patched-conics{"} approximation,
which means that a series of keplerian orbits are assumed for the
particle. After deriving the equations they are verified using the
Tisserand's Criterion, which is a rule that must be followed by
the keplerian elements before and after a swing-by. Then,
simulations using those equations are made to verify the effects
of the swing-bys. The final contribution is a complete set of
analytical equations, developed and confirmed by numerical
simulations.",
doi = "10.1007/s40314-014-0139-6",
url = "http://dx.doi.org/10.1007/s40314-014-0139-6",
issn = "2238-3603",
language = "en",
urlaccessdate = "04 maio 2024"
}