New version of EPM-ERA lunar theory
Transactions of IAA RAS, issue 26, 116–121 (2012)
Keywords: lunar theory, numerical integration, major planet, harmonics
About the paperAbstract
The numerical lunar theory EPM√ERA has been developed in IAA RAS [1, 2]. The dynamical model of the Moon motion has been constructed by simultaneous numerical integration of the equations of orbital and rotational motions of the Moon, major planets, the big asteroids. The potential of the Moon is calculated up to 4-th order of zonal index, while for the Earth the 2-th order harmonics C20 and C22 are included. The tidal perturbations in the lunar orbital motion caused by tidal dissipation on the Earths body are computed by the model with a constant lag. The effects of the elasticity of the lunar body have also been taken into account. A new version of EPM-ERA Lunar theory was corrected by an improved model of dissipative effect of the lunar rotation by integrating rotational motions with retarded argument. The comparison of the improved dynamical model with 17131 LLR data from 1970 till 2010 has been made. The LLR observations have also been processed with three versions of DE ephemeredes of JPL (USA) and with French one INPOP10.
Citation
E. Yagudina, G. Krasinsky, S. Prokhorenko. New version of EPM-ERA lunar theory // Transactions of IAA RAS. — 2012. — Issue 26. — P. 116–121.
@article{yagudina2012,
abstract = {The numerical lunar theory EPM√ERA has been developed in IAA RAS [1, 2]. The dynamical model of the Moon motion has been constructed by simultaneous numerical integration of the equations of orbital and rotational motions of the Moon, major planets, the big asteroids. The potential of the Moon is calculated up to 4-th order of zonal index, while for the Earth the 2-th order harmonics C20 and C22 are included. The tidal perturbations in the lunar orbital motion caused by tidal dissipation on the Earths body are computed by the model with a constant lag. The effects of the elasticity of the lunar body have also been taken into account. A new version of EPM-ERA Lunar theory was corrected by an improved model of dissipative effect of the lunar rotation by integrating rotational motions with retarded argument. The comparison of the improved dynamical model with 17131 LLR data from 1970 till 2010 has been made. The LLR observations have also been processed with three versions of DE ephemeredes of JPL (USA) and with French one INPOP10.},
author = {E. Yagudina and G. Krasinsky and S. Prokhorenko},
issue = {26},
journal = {Transactions of IAA RAS},
keyword = {lunar theory, numerical integration, major planet, harmonics},
pages = {116--121},
title = {New version of EPM-ERA lunar theory},
url = {http://iaaras.ru/en/library/paper/904/},
year = {2012}
}
TY - JOUR
TI - New version of EPM-ERA lunar theory
AU - Yagudina, E.
AU - Krasinsky, G.
AU - Prokhorenko, S.
PY - 2012
T2 - Transactions of IAA RAS
IS - 26
SP - 116
AB - The numerical lunar theory EPM√ERA has been developed in IAA RAS [1,
2]. The dynamical model of the Moon motion has been constructed by
simultaneous numerical integration of the equations of orbital and
rotational motions of the Moon, major planets, the big asteroids. The
potential of the Moon is calculated up to 4-th order of zonal index,
while for the Earth the 2-th order harmonics C20 and C22 are
included. The tidal perturbations in the lunar orbital motion caused
by tidal dissipation on the Earths body are computed by the model
with a constant lag. The effects of the elasticity of the lunar body
have also been taken into account. A new version of EPM-ERA Lunar
theory was corrected by an improved model of dissipative effect of
the lunar rotation by integrating rotational motions with retarded
argument. The comparison of the improved dynamical model with 17131
LLR data from 1970 till 2010 has been made. The LLR observations have
also been processed with three versions of DE ephemeredes of JPL
(USA) and with French one INPOP10.
UR - http://iaaras.ru/en/library/paper/904/
ER -