1. 1999-2000 Lecture Notes on Astrometry Space Newtonian Viewpoint Spatial Coord. System = Reference Frame Inertial Reference Frame Spatial Coord. Transformation Parallel Shift of Origin Rotation

2. 1999-2000 Lecture Notes on Astrometry Inertial Reference Frame (IRF) RF where Law of Inertia is valid Law of Inertia: No Force = Linear Motion Galilei ’ s Principle of Relativity Physics are the same in any IRF Parallel Shift of Linearly Moving Origin: IRF to IRF

3. 1999-2000 Lecture Notes on Astrometry Spatial Coordinates Rectangular Coord. Spherical Coord. Spheroidal Coord.

4. 1999-2000 Lecture Notes on Astrometry Rectangular to Spherical

5. 1999-2000 Lecture Notes on Astrometry Spherical to Rectangular

6. 1999-2000 Lecture Notes on Astrometry Various Spherical Coordinates Horizontal Ecliptic Equatorial Galactic

7. 1999-2000 Lecture Notes on Astrometry Horizontal Coordinates Distance: r Zenith Distance: z Altitude=Elevation: a = Alt = El = 90 ° – z Azimuth(al angle): A = Az

8. 1999-2000 Lecture Notes on Astrometry Units of Angle radian = rad degree = deg = ° minute = min = arc minute = ' second = arc second = " = arcsec = as

9. 1999-2000 Lecture Notes on Astrometry Units of Angle (contd.) 1° = 60 ' = 3600 " 180° = p radian 1" ~ 4.848 mrad 20" ~ 0.1 mrad = magnitude of aberration 0.001" = mas, 0.000001" = mas, …

10. 1999-2000 Lecture Notes on Astrometry Ecliptic Coordinates Ecliptic = Mean Orbital Plane of Earth Obliquity of Ecliptic: e Solar System Bodies Radius (Vector): r (Ecliptic) Longitude: l (Ecliptic) Latitude: b e Ecliptic Equator Equinox

11. 1999-2000 Lecture Notes on Astrometry Equatorial Coordinates Basic Expression Right Ascension: R.A. = a Declination: Decl. = d Parallax: p p AU r S E P

12. 1999-2000 Lecture Notes on Astrometry Units of Length SI meter Speed of Light: c = 299792458 m/s Astronomical Unit of length (AU) Rough: Mean radius of Earth ’ s orbit Precise: AU = c t, t = 499.00478353 … s Parsec (pc), Light Year (ly) 1 pc = AU/sin 1 ” ~ 30.9 Pm ~ 3.26 ly 1 ly = c x 1 jy ~ 9.5 Pm