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Fundamentals of Astrometry.
2004 text detailing the fundamentals of astrometry at milli- and micro-arcsecond accuracies.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2004.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Dedication; Contents; Preface; List of abbreviations; 1 Introduction; 1.1 Classical astrometry; 1.2 New astrometry; 1.3 Time; 1.4 Earth orientation and reference frames; 2 New observational techniques; 2.1 New detectors; 2.2 Basics of interferometry; 2.2.1 The superposition principle; 2.2.2 Illumination; 2.2.3 Coherence length and bandwidth; 2.3 Stellar interferometry; 2.3.1 Principle of the Michelson interferometer; 2.3.2 Other uses of optical interferometry; 2.3.3 The main interferometers; 2.3.4 Fizeau interferometer; 2.3.5 Speckle interferometry.
- 2.4 Applications of time measurements2.4.1 The Global Positioning System and TAI; 2.4.2 VLBI (Very Long Baseline Interferometry); 2.4.3 Laser ranging; 2.4.4 Planetary radars; 2.4.5 Pulsar timing; 2.5 Launched space astrometry satellites; 2.5.1 Hipparcos; 2.5.2 Hubble Space Telescope; 2.6 Proposed space missions; 2.6.1 Space interferometry; 2.6.2 DIVA; 2.6.3 FAME; 2.6.4 GAIA; 3 Basic principles and coordinate systems; 3.1 Vectors; 3.1.1 Dot product; 3.1.2 Vector product; 3.1.3 Triple scalar product; 3.2 Vector derivatives; 3.2.1 Rotating axes; 3.3 Gradient; 3.4 Matrices.
- 3.4.1 Rotation matrices3.4.2 Cartesian coordinate transformation; 3.5 Tensors; 3.5.1 Rank-two tensors in three-dimensional space; 3.5.2 Tensors in a four-dimensional space; 3.6 Quaternions; 3.6.1 Properties of quaternions; 3.6.2 Euler symmetric parameters; 3.6.3 Quaternion rotation; 3.7 Spherical trigonometry; 3.8 Coordinate systems; 3.9 Differential coordinates; 3.9.1 Standard coordinates; 3.9.2 Displacement of a body; 3.9.3 Space standard coordinates; 3.10 Reference coordinates; 3.10.1 Equatorial celestial coordinates; 3.10.2 Terrestrial geocentric and geodetic coordinates.
- 3.10.3 Topocentric coordinates3.11 Time; 3.12 Extragalactic reference frame; 4 Treatment of astronomical data; 4.1 Introduction to data reduction; 4.1.1 Example; 4.1.2 Principle of data reduction; 4.1.3 Basic concept of uncertainties; 4.2 Random errors; 4.2.1 Combination of random quantities; 4.2.2 Generalization to functions of N variables; 4.2.3 Linear combination of random quantities; 4.2.4 Normal probability density function; 4.2.5 Other probability density functions; 4.3 Systematic errors; 4.4 Method of least squares; 4.4.1 Linearization of the equations.
- 4.4.2 Principle of the method of least squares4.4.3 Weighted least-squares solution; 4.4.4 Variance-covariance matrix of the estimation; 4.4.5 Chi-square test; 4.4.6 Goodness of fit; 4.4.7 Problems in linearization; 4.5 Additional aspects; 4.5.1 Poisson distribution; 4.5.2 Robust estimations; 4.5.3 Allan variance; 5 Principles of relativity; 5.1 Relativity principles; 5.2 Special relativity; 5.2.1 The Newtonian mechanical concepts; 5.2.2 Invariance of the speed of light; 5.2.3 The Lorentz transformation; 5.2.4 The metric of special relativity; 5.2.5 Coordinate time and proper time.