We discuss aspects of using the P03 precession model.

We discuss aspects of long-periodic precession parametrization.

We discuss models for high-precision spacecraft and planetary and lunar ephemerides.

We discuss relativistic aspects of Earth's roration

We discuss the dynamical model of the planet motions and EPM ephemerides.

We present INPOP06: a new planetary ephemeris.

We discuss an accurate harmonic development of Lunar ephemeris LE-405/406

We discuss the present state of the art of the solar quadrupole moment from planetary ephemerides.

We present the proposals of the IAU Division I Working Group on Nomenclature for Fundamental Astronomy (NFA) that was formed at the IAU XXV General Assembly in 2003.

This talk charts the implementation of the resolutions of the IAU XXIV General Assembly in 2000 (IAU 2000) in The Astronomical Almanac (AsA).

We argue that with the refined definition of TDB to be adopted by the IAU, the transformation between TDB and TCB becomes trivial.

With the present level of accuracy it may be necessary to use space borne atomic clocks to directly generate TCG, and to start addressing the limitations in the coordinate time transformations.

Pulsars can be considered as very precise clocks if they are observed from the barycenter of the Solar system. Pulsar Timing Array (PTA) can be used to establish new astronomical reference frame which describes both space and time properties. Among these arrays most remarkable are the Parks Pulsar Timing Array (PPTA) and Kalyazin Pulsar Timing Array (KPTA).

Current and near future all-sky astrometric catalogs on the ICRF are reviewed with the emphasis on reference star data at optical wavelengths for user applications.

We discuss the scientific potential of the future space astrometric missions.

We present a mission overview and science possibilities of space astrometry with the Milli-Arcsecond Pathfinder Survey (MAPS).

We discuss the influence of the magnetic field in the fluid core to the Earth's nutation.

We discuss the issue of retrieving diurnal and semi-diurnal signals in Earth rotation from VLBI observations.

We discuss education in astrometry.

We offer a 3D representation of the new transformation from the terrestrial to the celestial system.