Lecture 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

Lecture 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)

Lecture 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

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

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

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

Lecture 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