Multiple expansion of the tidal potential |
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| Authors: | F Mignard |
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| Institution: | (1) Centre d'Etudes et de Recherches, Géodynamiques et Astronomiques (C.E.R.G.A.), 06130 Grasse, France |
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| Abstract: | The Earth tidal deformation causes an additional gravitational potential. Its effect on the Moon orbital motion has been studied by several authors.In this contribution, we develop this additional potential without specifying the inertial frame chosen.For this purpose, we use the properties of the representation of rotation groups in 3 dimensions space. We finally obtain the interaction potential between the distorted Earth and the Moon which is a necessary preliminary to the study of the evolution of the Earth-Moon system.Nomenclature T.R.O
Tide raising object
- (  ,  ,  )
Spherical coordinates of the T.R.O.
- (J, 
E
)
Earth spin axis orientation.
E
is the longitude of the ascending node of Earth's equator on thexy-plane
- (a
,I
,e
,  , ,M
)
Elliptics elements of the T.R.O |
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| Keywords: | |
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