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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
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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