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LISALISA - iucaa

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Contents<br />

5.6.3 On-board frequency reference . . . . . . . . . . . . . . . . . . . . . . . . 77<br />

5.7 Beam pointing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78<br />

5.7.1 Pointing stability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78<br />

5.7.2 Pointing acquisition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79<br />

5.7.3 Final focusing and pointing calibration . . . . . . . . . . . . . . . . . . . 79<br />

5.7.4 Point-ahead angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79<br />

5.8 Thermal stability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82<br />

6 Inertial Sensor and Drag-Free Control 85<br />

6.1 The inertial sensor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85<br />

6.1.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85<br />

6.1.2 CAESAR sensor head . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86<br />

6.1.3 Electronics configuration . . . . . . . . . . . . . . . . . . . . . . . . . . . 87<br />

6.1.4 Evaluation of performances . . . . . . . . . . . . . . . . . . . . . . . . . 90<br />

6.1.5 Sensor operation modes . . . . . . . . . . . . . . . . . . . . . . . . . . . 91<br />

6.1.6 Proof-mass charge control . . . . . . . . . . . . . . . . . . . . . . . . . . 91<br />

6.2 Drag-free/attitude control system . . . . . . . . . . . . . . . . . . . . . . . . . . 92<br />

6.2.1 Description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92<br />

6.2.2 DFACS controller modes . . . . . . . . . . . . . . . . . . . . . . . . . . . 93<br />

6.2.3 Autonomous star trackers . . . . . . . . . . . . . . . . . . . . . . . . . . 94<br />

6.3 Accelerations directly affecting the proof-mass . . . . . . . . . . . . . . . . . . . 95<br />

7 Signal Extraction and Data Analysis 97<br />

7.1 Signal extraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97<br />

7.1.1 Phase measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97<br />

7.2 Frequency-domain cancellation of laser noise . . . . . . . . . . . . . . . . . . . . 97<br />

7.2.1 Laser noise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97<br />

7.2.2 Clock noise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99<br />

7.2.3 Other approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100<br />

7.3 Time-domain cancellation of laser phase noise . . . . . . . . . . . . . . . . . . . 100<br />

7.4 Alternative laser-phase and optical-bench noise-canceling methods . . . . . . . 101<br />

7.4.1 Notation and geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . 102<br />

7.4.2 Gravitational wave signal transfer function to single laser link . . . . . . 104<br />

7.4.3 Noise transfer function to single laser link . . . . . . . . . . . . . . . . . 104<br />

7.4.4 Combinations that eliminate laser noises and optical bench motions . . 104<br />

7.4.5 Gravitational wave sensitivities . . . . . . . . . . . . . . . . . . . . . . . 109<br />

7.5 Data analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112<br />

7.5.1 Data reduction and filtering . . . . . . . . . . . . . . . . . . . . . . . . . 113<br />

7.5.2 Angular resolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115<br />

7.5.3 Polarization resolution and amplitude extraction . . . . . . . . . . . . . 121<br />

7.5.4 Results for MBH coalescence . . . . . . . . . . . . . . . . . . . . . . . . 123<br />

Corrected version 1.04 xi 13-9-2000 11:47

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