Relativistic precession and nutation effects applied to the
Earth and Moon coordinate systems are discussed in
detail. Apart from the effects common to the two reference
systems (including the well-known geodetic precession),
the lunar reference frame undergoes an additional
precession of $28.9\, {\rm mas/cy}$. This value is
theoretically within the range of the Lunar Laser Ranging
(LLR) technique in the forthcoming years, but impossible to
decorrelate from other secular effects of selenophysical
origin. Due to a nearly perfect cancellation of the de Sitter
and Lense-Thirring phenomena, additional nutations of the lunar
referential are below the sensitivity of the LLR.
Analogous cancellation occurs also for the secular part
of the Lense-Thirring precession of the Earth-Moon
referentials. Terminological ambiguity of the geodetic
precession constant notion, related to the inclusion
of some of the Lense-Thirring terms, is pointed out.
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