Limit search to available items
Book Cover
E-book
Author Kovalevsky, Jean

Title Fundamentals of Astrometry
Published Cambridge : Cambridge University Press, 2004

Copies

Description 1 online resource (424 pages)
Contents 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
Summary 2004 text detailing the fundamentals of astrometry at milli- and micro-arcsecond accuracies
Notes 5.2.6 Mass and acceleration
Bibliography Includes bibliographical references (pages 387-397) and index
Notes English
Print version record
Subject Astrometry.
NATURE -- Sky Observation.
Astrometry
Astronomie
Form Electronic book
Author Seidelmann, P. Kenneth
ISBN 9781139116121
1139116126
1283295431
9781283295437
9781139126786
1139126784
113911395X
9781139113953
9781139106832
113910683X
9780521173315
0521173310
1107142555
9781107142558
9786613295439
6613295434
1139121863
9781139121866
1139111760
9781139111768