What is Astrometry? Definition: To study the universe through positions and motions of celestial objects Acronym: Fund./Classical/Positional Astr. Related Science: Cele. Mech. & Dyn. Astr. Geodesy & Geophysics Special & General Relativity
Principles 4-dim. Continuous Spacetime Rule of Causality Time Arrow Definiteness Principle of Determinacy Existence of Inertial Frame Principles of Relativity
Elements Observation & Measurement Time Space Reference Frame Motion Rotation Signal Propagation
Reference System Time and Space Coordinate Systems Time Systems Astronomical, Physical, Broadcasting Reference Frames = Spatial Coord. System Unit Systems
Motion Cosmic Expansion Quasi-Linear Motions of Distant Objects Stars, Galaxies, Quasars Orbital Motions Binaries, Planets, Satellites, Comets, Vehicles Rotational Motions Earth, Moon, Satellites
Signal Propagation Electromagnetic Wave Optical, IR, Radio, X-ray, g -ray Geometric Optics = Orbital Motion of Photons Relativistic Treatments Cosmic Rays (= Heavy Particles) Gravitational Wave?
Measurement Time Arrival Time, Event Time, Shooting Time Incoming Direction Energy = Wavelength Pattern: Pulse Profile, Pulse Train, Wave Pattern Contained Codes
Mathematical Tools Rotational Matrices Solution of Non-Linear Eq. Method of Least Squares Integration of Eq. of Motion Fourier Analysis