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| Presentation of Astrometry | p. 1 |
| Astrometry in Astronomy | p. 1 |
| Goals of Astrometry | p. 2 |
| Extragalactic Objects | p. 3 |
| Stars | p. 3 |
| Objects in the Solar System | p. 5 |
| Earth-Moon System | p. 6 |
| Conclusion | p. 7 |
| Astrometric Techniques | p. 8 |
| Small-Field Astrometry | p. 8 |
| Semi-global Astrometry | p. 9 |
| Distance Measurements | p. 9 |
| Other Techniques | p. 9 |
| Ground-Based or Space Astrometry? | p. 10 |
| Image Formation | p. 11 |
| Basic Principles | p. 11 |
| Propagation of a Light Ray | p. 12 |
| The Fermat Principle | p. 12 |
| Propagation of a Monochromatic Light Wave | p. 13 |
| Superposition Principle | p. 15 |
| The Huygens Principle | p. 15 |
| Diffraction | p. 15 |
| Propagation of a Limited Plane Wave | p. 16 |
| Diffraction by a Circular Aperture | p. 18 |
| Point Spread Function of a Circular Aperture | p. 19 |
| Resolving Power | p. 20 |
| Coherenceof Light | p. 21 |
| Bandwidth | p. 21 |
| Coherence Timeand Length | p. 23 |
| Instrumental Defects | p. 24 |
| Conventional Image | p. 24 |
| Defocus | p. 26 |
| Spherical Aberration | p. 26 |
| Coma | p. 27 |
| Astigmatismand Field Curvature | p. 28 |
| Distortion | p. 29 |
| Chromatic Aberration | p. 30 |
| Diffraction Chromatism | p. 31 |
| Atmospheric Effects on Image Formation | p. 33 |
| Monochromatic Atmospheric Refraction | p. 33 |
| Approximate Theoryof Atmospheric Refraction | p. 33 |
| Spherical Atmosphere Approximation | p. 34 |
| Laplace Formula | p. 36 |
| Normal Refraction | p. 38 |
| Temperatureand Pressure Dependence | p. 38 |
| Differential Refraction | p. 39 |
| Chromatic Refraction | p. 40 |
| Chromatic Refraction Correction | p. 40 |
| Application to Star Observations | p. 40 |
| Empirical Correction | p. 41 |
| Simplified Empirical Correction | p. 43 |
| Refractionin Distance | p. 44 |
| Distance Measurementsin Optical Wavelengths | p. 44 |
| Refraction of Radio Waves | p. 45 |
| Heterogeneityofthe Atmosphere | p. 48 |
| Structureof theAtmosphere | p. 48 |
| Effects of Turbulence | p. 50 |
| Statistical Properties of a Turbulent Atmosphere | p. 51 |
| Wave Propagation in the Atmosphere | p. 52 |
| Seeing | p. 53 |
| Instantaneous Image | p. 54 |
| Resolving Powerof Telescopes | p. 56 |
| Adaptive Optics | p. 58 |
| Reduction of Observations | p. 61 |
| Reference Systems and Frames | p. 61 |
| Ideal Reference System | p. 62 |
| Reference System | p. 63 |
| Conventional Reference System | p. 63 |
| Conventional Reference Frames | p. 64 |
| Changeof Reference Coordinates | p. 65 |
| Applicationto Local Coordinates | p. 66 |
| Relationwiththe Celestial Reference Frame | p. 68 |
| New Intermediary System | p. 70 |
| Satellite Astrometry | p. 71 |
| Geometrical Effects | p. 71 |
| Field-to-Focus Transformation | p. 71 |
| Annual Parallax | p. 74 |
| Other Parallactic Corrections | p. 75 |
| Proper Motions | p. 76 |
| Optical Effects | p. 77 |
| Aberration | p. 77 |
| Relativistic Light Deflection | p. 79 |
| Relativistic Light-Time Delay | p. 80 |
| Doppler Shift | p. 80 |
| Reduction of Observations | p. 81 |
| Positionof the Problem | p. 82 |
| Modelling | p. 83 |
| Calibration | p. 84 |
| Estimation of Parameters | p. 84 |
| Notion of Uncertainty | p. 84 |
| Evaluation of the Uncertainty | p. 86 |
| Method of Least Squares | p. 87 |
| Variance and Covariances in Least Squares | p. 89 |
| Small-Field Astrometry | p. 91 |
| Photographic Astrometry | p. 91 |
| Telescopesfor Small-Field Astrometry | p. 92 |
| Propertiesof Photographic Plates | p. 95 |
| Image of a Star | p. 99 |
| Photographic Plate Measurements | p. 101 |
| Determinationof Image Positions | p. 102 |
| Plate Reduction | p. 103 |
| Star Catalogues | p. 107 |
| Photoelectricityin Astrometry | p. 109 |
| Photomultipliers | p. 109 |
| CCD Receivers | p. 110 |
| CCD Calibration | p. 112 |
| CCD Astrometric Observations | p. 113 |
| CCD Scan Mode | p. 114 |
| Grid-Modulation Astrometry | p. 117 |
| Grid-Modulation Theory | p. 117 |
| Reduction of a Grid-Modulated Signal | p. 118 |
| Multichannel Astrometric Photometer | p. 119 |
| Astrometry with the Hubble Space Telescope | p. 121 |
| Description of the HST | p. 122 |
| Degradation of the HST Optics | p. 122 |
| Description of the Fine Guidance Sensors | p. 124 |
| Reduction of FGS Data in Transfer-Function Mode | p. 127 |
| Reduction of FGS Data in Astrometric Mode | p. 129 |
| Astrometric Use of the WF/PC | p. 131 |
| Radial Velocities | p. 132 |
| Spectroscopy | p. 133 |
| Determination of Radial Velocities: CORAVEL | p. 133 |
| Objective Prism | p. 135 |
| Meridian Circles | p. 139 |
| Measurementof Large Angles | p. 139 |
| Measuring Anglesbya Rotation | p. 139 |
| Materialised Representationof Angles | p. 140 |
| The Meridian Circle | p. 142 |
| Principle of a Meridian Circle | p. 142 |
| Descriptionofthe Meridian Circle | p. 144 |
| Determinationof Celestial Coordinates | p. 144 |
| Right Ascensions | p. 145 |
| Collimation | p. 146 |
| Inclinationofthe Rotation Axis | p. 147 |
| Azimuth of the Rotation Axis | p. 148 |
| Calibrationofthe Instrumental Constants | p. 149 |
| Bessel's Formula | p. 150 |
| Determinationof Declinations | p. 151 |
| Geometric Correctionsfor Declinations | p. 151 |
| Flexureofthe Tube | p. 152 |
| Errorsin Refraction | p. 152 |
| Summaryof Correctionsin Declination | p. 153 |
| Micrometers | p. 154 |
| Rotating Mask Micrometer | p. 154 |
| Oscillating Grid Micrometer | p. 156 |
| Use of an Image Dissector | p. 161 |
| CCD Micrometer | p. 162 |
| CCD Telescopes | p. 163 |
| Horizontal Meridian Circles | p. 163 |
| Pulkovo Horizontal Meridian Circle | p. 164 |
| Axial Meridian Circle | p. 165 |
| Reductionof Meridian Observations | p. 166 |
| Relative Observations | p. 166 |
| Global Reduction | p. 167 |
| Precisionsof Observations | p. 169 |
| Equal Altitude Instruments | p. 171 |
| Principle of Astrolabes | p. 171 |
| Geometryofthe Observation | p. 172 |
| Curvatureofthe Parallel | p. 173 |
| Description of an Astrolabe | p. 174 |
| Principleofthe Danjon Prism Astrolabe | p. 175 |
| Principle of a Full Pupil Astrolabe | p. 176 |
| Description of a Full Pupil Astrolabe | p. 177 |
| The Mark Astrolabe | p. 180 |
| Instrumental Parameters | p. 181 |
| Methodof Equal Altitudes | p. 182 |
| Fundamental Formula | p. 183 |
| Observational Procedures | p. 184 |
| Determinationof Instrumental Parameters | p. 185 |
| Determinationof Star Positions | p. 186 |
| Astrolabe Star Catalogues | p. 186 |
| Solar Astrolabe | p. 187 |
| Principle of a Solar Astrolabe | p. 187 |
| Description of the Multiprism Solar Astrolabe | p. 189 |
| Reduction of Observations | p. 190 |
| Variable Prism Solar Astrolabe | p. 192 |
| The Photographic Zenith Tube | p. 193 |
| Hipparcos | p. 197 |
| Hipparcos Mission | p. 197 |
| General Principleof Hipparcos | p. 198 |
| Description of the Satellite | p. 198 |
| Input Catalogue | p. 201 |
| Nominal Scanning Law | p. 203 |
| Attitude Control | p. 203 |
| Observing Strategy | p. 204 |
| Operation of the Satellite | p. 205 |
| Data Reduction | p. 206 |
| Photon Count Treatment | p. 206 |
| Single-Slit Response | p. 206 |
| Transit Time on the Star-Mapper | p. 208 |
| Grid-to-Field Transformation | p. 209 |
| Reference Great Circles | p. 210 |
| Attitude Determination | p. 212 |
| Representationofthe Attitude | p. 213 |
| Main Grid Photon Counts | p. 215 |
| Main Grid Coordinates | p. 216 |
| Caseof Doubleand Multiple Stars | p. 218 |
| Reductionona Great Circle | p. 219 |
| Geometryofthe Reduction | p. 219 |
| Equations of Condition | p. 220 |
| Design Matrixand Solution | p. 221 |
| Astrometric Parameter Determination | p. 223 |
| Basic Equations | p. 223 |
| Sphere Reconstitution | p. 225 |
| Astrometric Parameter Determination | p. 227 |
| Iterationsand Resultsfor Single Stars | p. 227 |
| Special Tasks | p. 229 |
| Doubleand Multiple Stars | p. 229 |
| Hipparcos Photometry | p. 231 |
| Solar System Objects | p. 232 |
| Link to the Extragalactic Reference Frame | p. 233 |
| Hipparcos Final Catalogue | p. 235 |
| Mergingof theCatalogues | p. 235 |
| Contentsofthe Hipparcos Catalogue | p. 236 |
| Tycho | p. 238 |
| Principle of Tycho | p. 238 |
| Detection of Stars | p. 238 |
| Star Identification | p. 239 |
| Equations forthe Astrometric Parameters | p. 240 |
| Astrometric Parameter Determination | p. 241 |
| Tycho Catalogue | p. 242 |
| Tycho-2Catalogue | p. 243 |
| Identification of Transits | p. 243 |
| Estimation of Stellar Positions | p. 243 |
| Tycho-2 Catalogue | p. 245 |
| Very Small Field Astrometry | p. 247 |
| Stellar Amplitude Interferometry | p. 247 |
| Interference Fringes | p. 247 |
| Michelson Interferometry | p. 249 |
| Fundamental Equation of Stellar Interferometry | p. 251 |
| Descriptionof Interferometers | p. 254 |
| Double Star Observation | p. 259 |
| Interferometryof Extended Sources | p. 261 |
| Resolving Power of an Interferometer | p. 265 |
| Other Optical Interferometers | p. 265 |
| Speckle Interferometry | p. 267 |
| Reduction bythe Autocorrelation Method | p. 267 |
| Reduction in a Fourier Space | p. 268 |
| Operations | p. 269 |
| Occultationsbythe Moon | p. 270 |
| Diffraction by a Half-Plane | p. 270 |
| Application to Lunar Occultations | p. 272 |
| Observation of Occultations | p. 273 |
| Reduction of Observations | p. 274 |
| Precisions Achieved | p. 276 |
| Phase Interferometry | p. 277 |
| Optical Phase Interferometry | p. 277 |
| General Theory | p. 277 |
| Reduction of Observations | p. 279 |
| Refraction Correction in the Mark III Interferometer | p. 280 |
| Astrometry with the NPOI | p. 282 |
| Astrometric Precision | p. 283 |
| Radio Interferometry | p. 284 |
| Radio Telescopes | p. 284 |
| Interferometryin Radio Waves | p. 286 |
| Very Long Baseline Interferometry | p. 288 |
| VLBI Data Reduction | p. 290 |
| Observation of Stars by VLBI | p. 292 |
| Space VLBI | p. 293 |
| Timing Techniques | p. 295 |
| Chronometry | p. 295 |
| Oscillators | p. 295 |
| Quartz Oscillators | p. 297 |
| Stimulated Emissions | p. 299 |
| Caesium Atomic Frequency Standards | p. 301 |
| Atomic Clocks | p. 305 |
| Atomic Time Scales | p. 307 |
| Lasers | p. 309 |
| The Laser Effect | p. 309 |
| Implementation for Telemetry | p. 311 |
| Laser Ranging | p. 311 |
| Lunar Laser Ranging Equipment | p. 313 |
| Photon Efficiency of Lunar Lasers | p. 315 |
| Return Recognitionand Data Reduction | p. 317 |
| Satellite Laser Ranging | p. 319 |
| Global Positioning System | p. 320 |
| Principleof the System | p. 321 |
| Description of the GPS | p. 321 |
| Measurements with GPS Receivers | p. 322 |
| Extensions | p. 324 |
| Planetary Radars | p. 325 |
| Radar Ranging Measurements | p. 325 |
| Application to Planets | p. 327 |
| Ranging to Asteroids | p. 328 |
| Pulsar Timing | p. 329 |
| Timing Pulses | p. 330 |
| Propagation Time of Pulsar Signals | p. 332 |
| Interpretationof theObservations | p. 332 |
| Astrometric Results | p. 334 |
| Future of Astrometry | p. 337 |
| Achievements of Present Astrometry | p. 337 |
| Extragalactic Objects | p. 337 |
| Stars | p. 338 |
| Objectsin the Solar System | p. 339 |
| Need for Better Astrometry | p. 341 |
| Extragalactic Objects | p. 343 |
| Stars | p. 344 |
| The Galaxy | p. 346 |
| Space Global Astrometry Projects | p. 347 |
| DIVA | p. 348 |
| FAME | p. 349 |
| GAIA | p. 350 |
| Space Interferometry | p. 352 |
| SIM | p. 352 |
| Space VLBI | p. 353 |
| Astrometry from the Moon? | p. 353 |
| Prospects of Ground-Based Astrometry | p. 354 |
| CCD Astrometry | p. 354 |
| Very Small Field Astrometry | p. 355 |
| Role of Ground-Based Astrometry | p. 355 |
| As a Conclusion | p. 356 |
| References | p. 359 |
| Index | p. 371 |
| Table of Contents provided by Publisher. All Rights Reserved. |
ISBN: 9783540423805
ISBN-10: 354042380X
Series: Astronomy and Astrophysics Library
Published: 22nd January 2002
Format: Hardcover
Language: English
Number of Pages: 396
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: DE
Edition Number: 2
Edition Type: Revised
Dimensions (cm): 23.5 x 16.51 x 2.54
Weight (kg): 0.76
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