@Article{DomingosPradVilh:2015:StErAv,
author = "Domingos, R. C. and Prado, Antonio Fernando Bertachini de Almeida
and Vilhena de Moraes, R.",
affiliation = "{Universidade Estadual Paulista (UNESP)} and {Instituto Nacional
de Pesquisas Espaciais (INPE)} and {Universidade Federal de
S{\~a}o Paulo (UNIFESP)}",
title = "A study of the errors of the averaged models in the restricted
three-body problem in a short time scale",
journal = "Computational and Applied Mathematics",
year = "2015",
volume = "34",
pages = "507--520",
keywords = "Astrodin{\^a}mica, Perturba{\c{c}}{\~a}o de Terceiro Corpo.",
abstract = "The objective of the present research is to study the accuracy of
the double- and single-averaged models that are usually considered
to predict the motion of spacecrafts or celestial bodies that have
their motion perturbed by a third-body. Those two models are
compared with each other and then validated against the complete
elliptic restricted threebody problem. Those models are developed
to give a faster but general behaviour of the motion of the
perturbed body in a medium or longer time scale. The researches
performed here verify the accuracy of those methods for shorter
time scales by showing the differences in terms of the values of
the inclination and eccentricity of the perturbed body predicted
by those models. Those differences are calculated both at every
instant of time and as an integral over the time. The use of the
integral along the time for the errors is a new form to study
those differences and show a more complete comparison of the
accuracy of those approximations, completing the instantaneous
picture given by the usual approach of looking at the
instantaneous measurement. If the value of the integral is divided
by the time integration, the mean error is obtained. The results
show that the single-averaged model is better in the short time
scale and the difference among those models is smaller when
predicting the eccentricity than the inclination. The effects of
the time scale is verified by varying the study to values from 2
days up to 50 revolutions of the Moon (1,366 days). Another
important point found in the present paper is the range of the
eccentricities of the perturbing body that accelerates the
dynamics.",
doi = "10.1007/s40314-014-0148-5",
url = "http://dx.doi.org/10.1007/s40314-014-0148-5",
issn = "2238-3603",
label = "lattes: 7340081273816424 2 DomingosPradVilh:2014:StErAv",
language = "en",
targetfile = "domingos_study.pdf",
urlaccessdate = "04 maio 2024"
}