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1.2 U, V, and infrared light curves of Algol 18

1.3 Projections of equipotential Roche surfaces 19

1.4 Roche potential and shape of a detached binary system 20

1.5 Roche potential and shape of a semi-detached binary 21

1.6 Roche potential and shape of an over-contact binary 21

2.1 RADS instrument 40

2.2 RADS differential photometry 40

2.3 CCD image frame of the globular cluster NGC 5466 48

2.4 Spectra of early spectral-type eclipsing binaries 49

2.5 Radial velocity curve of AI Phoenicis 51

2.6 Cross-correlation functions for RW Comae Berenices 52

2.7 An RJ light curve taken by the Baker-Nunn patrol camera 63

3.1 Definition of a right-handed Cartesian coordinate system 78

3.2 Definition of spherical polar coordinates 78

3.3 Surface normal and line-of-sight 79

3.4 Plane-of-sky coordinates I 80

3.5 Plane-of-sky coordinates II 81

3.6 Orbital elements of a binary system 83

3.7 Relationships between phase and orbital quantities 84

3.9 True anomaly and eccentric anomaly 87

3.10 Schematic light curve in the spherical model 90

3.11 Angular momentum vectors of orbital and stellar rotation 99

3.12 Nonsynchronous rotation 100

3.13 Inner radiation pressure effects 105

3.14 Effects of full radiation pressure 108

3.15 Lagrangian points L1 and Lp in the BF Aurigae system 109

3.16 The double-contact binary RZScuti 113

3.17 Center-to-limb variation 121

3.18 Light variation caused purely by the reflection effect 124

3.19 Light curves with albedo varying from 0 to 1 127

3.20 Geometrical condition for visible points 129

3.21 Projected plane-of-sky distance 130

3.22 Sun spots 133

3.23 Trajectories in a binary system 141

3.24 Gas streams in VV Orionis 142

3.25 Disk formation in SX Cassiopeiae 143

3.26 Modeling of the Rossiter effect in AB Andromedae 147

3.27 Radial velocity curves for point masses 148

3.28 Variation in the intrinsic line profile 151

3.29 Line profiles and Rossiter effect 151

3.30 Polarization curves of SX Cassiopeiae 154

3.31 He II spectroheliogravarPhic image of the Sun 158

4.1 Sum of the squared residuals versus parameters 175

4.2 Sum of the squared residuals versus parameters 176

4.3 Contour plot of Y, wr2 versus T and i 177

4.4 Contour plot of Y, wr2 versus q and Q 178

4.5 Noise contributions in various regimes of star brightness 180

4.6 The geometry of the Simplex algorithm 193

4.7 Flow chart of the Simplex algorithm 195

4.8 Geometry of contact times 200

5.1 Planet transiting in front of a star 253

5.2 The star has radius R 253

5.3 The HST transit light curve and best-fit model 255

5.4 The radial velocity curve and best fit model 256

6.2 Geometry of the secondary eclipse of RTLacertae 272

6.3 The infrared light and color curves of RTLacertae 273

6.4 Basic eclipse geometry 290

6.5 More complex models: The X-Ray system SS433 294

7.1 HD 77581 light curve and radial velocities, Vela X-1 pulse delays 312

7.2 Light curves of NH31 in the globular cluster NGC 5466 313

7.3 Light curve of the over-contact system H235 316

7.4 Radial velocities of the over-contact system H235 316

7.5 Cluster magnitude diagram of M71 with isochrones 318

7.6 B primary minimum of the HP Draconis light curve 322

7.7 B secondary minimum of the HP Draconis light curve 323

7.8 Fitting line profiles 323

8.1 The limit of an eclipse of an over-contact system. Created with the help of BM2 (Bradstreet 1993) 332

8.2 Shallow eclipses. Created with the help of BM2 (Bradstreet 1993) 333

8.3 Deep eclipses. Created with the help of BM2 (Bradstreet 1993) 334

8.4 A screen-shot of the PHOEBE graphical user interface 336

8.5 High-angle, three-dimensional analysis of the residuals 338

8.6 Low-angle, three-dimensional analysis of the residuals 338

B.1 Standard deviation of the fit versus mass ratio 371

C.1 Rotation of Cartesian coordinate systems 374

C.2 Derivation of the surface element 378

E.1 Structure of subroutine BBL 387

E.2 The WD main program: LC 391

E.3 The WD main program: DC 392

E.4 Subroutine LCR 393

E.5 Geometry of the reflection effect 1 397

E.6 Geometry of the reflection effect 2 398

E.7 Geometry of the reflection effect 3 399

E.8 Geometry of the reflection effect 4 400

E.9 Geometry of the reflection effect 5 402

E.10 Geometry of the reflection effect 6 403

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