@Article{SantosPradSanc:2017:EqPoRe,
author = "Santos, Leonardo Barbosa Torres dos and Prado, Antonio Fernando
Bertachini de Almeida and Sanchez, Diogo Merguizo",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto
Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de
Pesquisas Espaciais (INPE)}",
title = "Equilibrium points in the restricted synchronous three-body
problem using a mass dipole model",
journal = "Astrophysics and Space Science",
year = "2017",
volume = "362",
number = "3",
month = "Mar.",
keywords = "Equilibrium points, Stability, Three-body problem, Zero velocity
curves.",
abstract = "The objective of the present paper is to investigate the zero
velocity curves, using the Jacobi constantC, and to determine the
positions of the libration points in the restricted synchronous
three-body problem. To perform this task, it is necessary to
obtain the equations of motion of a negligible mass traveling in a
system composed of two other massive bodies. One of them is
assumed to have a spherical shape, while the other one is
irregular shaped and modeled as a rotating mass dipole. The
locations of the equilibrium points are determined and then, for
several values C of the Jacobi constant, the boundary regions are
obtained where the motion of the particle is allowed. The zero
velocity curves are plotted. Next, the stability of these
equilibrium points examined, including the collinear and
non-collinear ones. It is found that the collinear points are
unstable and the non-collinear ones are linearly stable for lower
values of the mass parameter. A comparison with the equivalent
results for the dynamics considering three points of mass is made,
to emphasize the influence of the elongation of one of the
bodies.",
doi = "10.1007/s10509-017-3030-2",
url = "http://dx.doi.org/10.1007/s10509-017-3030-2",
issn = "0004-640X",
language = "en",
targetfile = "santos_equilibrium.pdf",
urlaccessdate = "23 nov. 2020"
}