1. 1999-2000Lecture Notes on Astrometry Parallel Shift of Origin Galactic Center in Quasar RF –Cosmic Expansion Local Standard of Rest in Galactic RF –Local Standard of Rest (LSR) = Solar System Barycenter (SSB) –Local Circular Motion … Oort’s Constant

2. 1999-2000Lecture Notes on Astrometry Parallel Shift of Origin (contd.) Geocenter in Solar System Barycentric RF –Ephemeris Terrestrial RF & Geocentric RF –Earth Rotation Observer in Terrestrial RF –Rest –Moving (airplane observatory)

3. 1999-2000Lecture Notes on Astrometry Ephemeris Reference on Complex Motion –Planets, Moon, natural satellites, minor planets –Rotation of planets/satellites Astronomical Almanac (US+UK) Japanese Ephemeris ( 天体位置表） DE series (NASA/JPL), DE405/406 –State-of-the-art –Machine callable –ITRFnn, WGS84, GRS80, Tokyo Datum

4. 1999-2000Lecture Notes on Astrometry Theory of Coordinate Transform. General Coordinate Transformation Taylor Expansion w.r.t. New Coordinates

5. 1999-2000Lecture Notes on Astrometry Linear Coordinate Transform. Affine Transformation Static: 12-Parameters Transformation

6. 1999-2000Lecture Notes on Astrometry Decomposition of B-Matrix Expansion/Contraction = Diagonal Shear = Off-Diagonal+Symmetric Infinitesimal Rotational Displacement = Anti-Symmetric

7. 1999-2000Lecture Notes on Astrometry 7-Parameter Transformation Static Transf. among Similar & Parallel RFs –Origin Shift –Scale Factor = Isotropic Expansion/Contraction –Infinitesimal Rotational Displacement Example: Geocentric RFs –ITRFnn, WGS84, GRS80, Tokyo Datum