@Article{CarvalhoVilhPrad:2010:SoOrCh,
author = "Carvalho, Jean P S and Vilhena de Moraes, R. and Prado, Antonio
Fernando Bertachini de Almeida",
affiliation = "Univ Estadual Paulista, BR-12516410 Guaratingueta, SP Brazil and
Univ Estadual Paulista, BR-12516410 Guaratingueta, SP Brazil and
{Instituto Nacional de Pesquisas Espaciais (INPE)}",
title = "Some orbital characteristics of lunar artificial satellites",
journal = "Celestial Mechanics and Dynamical Astronomy",
year = "2010",
volume = "108",
pages = "371--388",
keywords = "MAIN PROBLEM, 3RD-BODY PERTURBATION, CRITICAL INCLINATION, FROZEN
ORBITS, POLAR, MODEL, BODY.",
abstract = "In this paper we present an analytical theory with numerical
simulations to study the orbital motion of lunar artificial
satellites. We consider the problem of an artificial satellite
perturbed by the non-uniform distribution of mass of the Moon and
by a third-body in elliptical orbit (Earth is considered).
Legendre polynomials are expanded in powers of the eccentricity up
to the degree four and are used for the disturbing potential due
to the third-body. We show a new approximated equation to compute
the critical semi-major axis for the orbit of the satellite.
Lie-Hori perturbation method up to the second-order is applied to
eliminate the terms of short-period of the disturbing potential.
Coupling terms are analyzed. Emphasis is given to the case of
frozen orbits and critical inclination. Numerical simulations for
hypothetical lunar artificial satellites are performed,
considering that the perturbations are acting together or one at a
time.",
doi = "10.1007/s10569-010-9310-6",
url = "http://dx.doi.org/10.1007/s10569-010-9310-6",
issn = "0923-2958",
label = "lattes: 7340081273816424 3 CarvalhoVilhPrad:2010:SoOrCh",
language = "en",
targetfile = "prado.pdf",
urlaccessdate = "21 maio 2024"
}