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The Roche Problem
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List of Contents.- I. Introduction.- I.1 Bibliographical Notes.- II. The Roche Model.- II.1 Roche Model—A Definition.- II.2 Geometry of Roche Equipotentials.- II.3 Time-Dependent Roche Equipotentials.- II.4 Bibliographical Notes.- III. Roche Coordinates.- III.1 Metric Transformations.- III.2 Equations of Motion in Roche Coordinates.- III.3 Bibliographical Notes.- IV. Continuous Mass Distribution: Clairaut’s Theory.- IV.1 Equipotential Surfaces.- IV.2 Rotational Distortion.- IV.3 Tidal Distortion.- IV.4 Interaction Between Rotation and Tides.- IV.5 Effects of Internal Structure.- IV.6 Bibliographical Notes.- V. Clairaut Coordinates.- V.1 Metric Transformation.- V.2 Internal Structure.- V.3 Vibrational Stability.- V.4 Bibliographical Notes.- VI. Generalized Rotation.- VI.1 Equations of Motion for Deformable Bodies.- VI.2 Dissipative Forces: Effects of Viscosity.- VI.3 Precession and Nutation of Deformable Bodies.- VI.4 Bibliographical Notes.- VII. Observable Effects of Distortion in Close Binary Systems.- VII.1 Radiative Transfer in Clairaut Coordinates.- VII.2 Light Variations in Close Binary Systems.- VII.3 Light Changes of Distorted Systems Within Eclipses.- VII.4 Radial Velocity Variations in Close Binary Systems.- VII.5 Bibliographical Notes.- References.

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