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Dynamics of Close Binary Systems


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I. Binary Stars in the Sky.- 1. Binary-Star Population in our Galaxy.- Bibliographical Notes.- II. Figures of Equilibrium.- 1. Equipotential Surfaces.- 2. Rotational Distortion.- 3. Tidal Distortion.- 4. Interaction between Rotation and Tides.- 5. Effects of Internal Structure.- 6. Gravity, Density Distribution, and Moments of Inertia.- Bibliographical Notes.- III. Dynamical Tides.- 1. Equations of the Problem.- A. Dissipative Systems.- B. Radiating Systems.- 2. Linearized Equations.- A. Viscous Spheroidal Deformations.- B. Boundary Conditions.- C. Homogeneous Model.- 3. Forced Oscillations: Dynamical Tides.- A. Mass-Point Model.- B. Centrally-Condensed Model.- C. Disturbing Potential.- 4. Dissipation of Energy by Dynamical Tides.- A. Viscous Friction.- B. Application to Binary Systems.- Bibliographical Notes.- IV. Generalized Rotation.- 1. Equations of Motion for Deformable Bodies.- A. Eulerian Equations.- 2. Rotation of Deformable Bodies.- A. Effects of Deformation.- B. Moments and Products of Inertia.- C. Coefficients of Deformation.- 3. Effects of Viscosity.- A. Equations of the Problem.- B. Tidal Friction: Spherical Configurations.- C. Tidal Friction: Spheroidal Configurations.- D. Dissipation of Energy by Tidal Friction.- 4. Nonuniform Rotation.- A. Steady-State Rotation; Gravity-Darkening.- B. Non-Steady Rotation.- Bibliographical Notes.- V. Dynamics of Close Binaries.- 1. Equations of the Problem.- A. Perturbation Equations.- B. Evaluation of the Coefficients; Tidal Lag.- 2. Perturbations of the Orbital Plane; Precession and Nutation.- A. Effects of Viscosity.- B. Linearized Case.- C. Secular and Long-Periodic Motion.- D. Solution of Equations.- 3. Perturbations in the Orbital Plane.- A. Secular Perturbations: Rotational Distortion.- B. Secular Perturbations: Tidal Distortion.- C. Apsidal Motions: Comparison with Observations.- 4. Period Changes in Eclipsing Binary Systems.- A. Generalized Law of Areas.- B. Orbital Period: a Definition.- C. Relation between Orbital Period and Times of the Minima.- 5. Effects of Variable Mass.- A. Generalized Equations of Motion.- B. Isotropic Mass Loss.- C. Non-Isotropic Mass Loss.- 6. Perturbations by a Third Body.- A. Equations of the Problem.- B. Short-Range Perturbations.- C. Long-Range Perturbations.- D. Effects of the Light Equation.- Bibliographical Notes.- VI. The Roche Model.- 1. Roche Equipotentials.- A. Surfaces of Zero Velocity.- 2. Geometry of Roche Surfaces.- A. Radius and Volume.- B. Roche Limit.- C. Geometry of the Eclipses.- D. External Envelopes.- 3. The Roche Coordinates.- A. Rotational Problem.- B. Tidal Problem.- C. Double-Star Problem.- Bibliographical Notes.- VII. Stability of the Components of Close Binary Systems.- 1. Criteria of Stability.- 2. Secular Stability.- A. Rotational Problem.- B. Double-Star Problem.- 3. Dynamical Stability.- A. Vibrations of the Roche Model.- 4. Concluding Remarks.- Bibliographical Notes.- VIII. Origin and Evolution of Binary Systems.- 1. Evolution of the Stars.- 2. Classification of Close Binary Systems.- A. Characteristic Parameters.- 3. Nuclear Evolution of Close Binary Systems.- A. Detached Systems.- B. Semi-Detached Systems.- C. Contact Systems.- 4. Tidal Evolution of Close Binary Systems.- A. Energy and Momentum.- B. Evolution with Constant Momentum.- C. Comparison with Observations.- D. Tidal Evolution.- 5. Beginnings and Ends.- A. Origin of Close Binaries.- B. Terminal Stages: Subdwarf Binaries.- C. X-Ray Binaries and Black Holes.- Bibliographical Notes.- References.- Index of Names.- Index of Subjects.

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