Index

abbreviations, xxxiii absolute dimensions, 396

computation of, 205-210 absorption, 326

accretion disk, 137, 140, 142, 161, 272, 293

magnetism, 161 active set, 357 activity cycle, 346 adaptive optics, 12 advice to observers, 60 Airy disk, 12 albedo, 396

bolometric, 124, 214 Algol paradox, 26, 27, 137, 137, 139 algorithm, 389, 391

Cholesky-Banachiewicz, 362 generalized reduced gradient, 358 genetic, 198

interior point methods, 359 maximum entropy, 297 minimization, 352 Price, 198 analysis

Fourier, 296 least-squares, 123 light curve, 341 line-profile, 55, 135, 279 simultaneous least-squares, 311 spectral, 51 time domain, 296 analytic derivatives, 189, 210, 214, 216, 354 anomaly eccentric, 87, 88, 89, 237 mean, 88, 88, 89, 156 true, 83, 87,237 apastron, 85, 86, 201

apsides, 85

Astronomical Almanac, 53 astroseismology, 38 atmospheres

Carbon-Gingerich, 284, 386 convective, 317 empirical corrections, 320 extended, 136, 289, 292, 325 gray, 115

Kurucz, 26, 119, 123, 279, 280, 284, 318 Mihalas, 119 nonemissive, 289 radiative, 315 attenuation, 144

Balmerlines, 137, 144 barycenter, 82 best fit, 169 binaries

AM Herculis systems, 60 astrometric, 11 bizarre, 26 classification of, 109

contact, 17,95, 110, 111

detached, 21, 112

double-contact, 102, 113, 138

double-lined spectroscopic, 14

early-spectral type, 103

evolution, 47, 65, 140, 235

evolution in clusters, 315

in clusters, 305

magnetic, 60

morphology of, 109

protostar, 13

semi-detached, 21, 112 single-lined spectroscopic, 14, 209 spectral-visual, 11 spectroscopic, 11, 13 visual, 11, 131 Wolf-Rayet, 108 X-ray, 22, 62, 108, 112, 149, 161 Binary Maker, 331, 333-335 blackbody assumptions, 120 law, 387 radiation, 115 blaze angle, 50 blue stragglers, 47, 314 bolometric correction, 207, 208 bolometric flux, 117 Boltzmann equation, 139 Boltzmann-Saha equation, 153 Bouguer extinction method, 44 bremsstrahlung, 57 non-thermal, 57 thermal, 57

Ca II H&K lines, 132, 157 cataclysmic variables, 60, 101, 112 Cayley's problem, 378 Cayley-Darboux equation, 378 CCD, xxxiii CCD detectors, 38 CCF, xxxiii CDM, xxxiii center-to-limb variation, 91, 120, 266-270,

274,320 centrifugal limit, 138 characteristic function, 129 chemical composition, 77, 321 chi-square-test, 369

chromospheres, 120, 123, 136, 157, 158 circularization, 85 circumstellar flows, 76 circumstellar matter, 77, 131, 137, 138, 140, 144, 153

clouds, 77, 136, 137, 140, 142, 144, 145, 326 CLV, xxxiii CMD, xxxiii coincidence correction, 39 color excess, 159, 208, 231 color index, 45, 45, 199 color-magnitude diagram, 47, 318 common envelope binaries, 14 evolution, 98

common envelope evolution, 101 companion eclipse function, 129 component primary, 90, 274 secondary, 274 condition number, 362 conjugacy, 355 conjunction superior, 84 constant volume assumption, 102, 115 constraint, 351 active, 357 eclipse duration, 179 geometrical, 396 main sequence, xxxiii, 233, 234 qualification, 357 use of, 178 contact discontinuity, 144 contact parameter, 110, 111 convection, 26

convective envelopes, 117, 125, 158, 315 convergence, 26 cool Algol, 273 coordinates barycentric, 89 Cartesian, 77 cylindrical, 278, 297 plane-of-sky, 79-82 Roche, 378, 379 rotation of, 373 spherical, 78 coronae, 157

coronal emission, 120, 157

correlation, 174

cosmic rays, 44

covariance, 186, 188, 204, 205

covariance matrix, 188

cross-correlation, 51, 54, 57, 146, 278

function, 52 curve of growth, 56

damping factor, 365 data binning, 179 fundamental stellar, 3 photoelectric, 41 polarization, 37 spectrophotometric, 37 spectroscopic, 76 data fitting, 360 data reduction, 66 dead time correction, 39

degree of contact, 110 depth relation, 270 differences central, 354 finite, 354 forward, 354 Differential Corrections, 175 direct problem, 76, 170, 385 disks, 77,142 opaque, 291 semi-transparent, 289 thick, 24, 273 displacement of minima, 85 distance estimation direct, 326 inverse, 326 distance modulus, 208, 231 disturbances, 140 Doppler imaging, 135 profile analysis, 37 profile mapping, 60, 60 shift, 50

EB, xxxiii eccentricity, 83 Echelle spectra, 146 eclipse atmospheric, 136, 137 duration of, 388 horizon, 390 moment of the, 295 occultation, 267 partial, 269, 291 self-, 129, 281 total, 291 X-ray, 388 eclipsing binaries classification, 15, 17, 18, 21 data analysis, 15, 22, 75, 169, 221 definition, 14, 14 importance, 3, 22

large number of light curves, 27, 241 modeling, 75 observable curve, 75 ellipsoidal effect, 126 ellipsoidal variation, 6, 17 ellipticity, 92, 94, 136, 270, 381-383, 398 ellipticity effect, 23 ephemeris phase correction, 274 epoch, 42

equation of condition, 44, 45, 170, 223, 267

equilibrium convective, 117, 125 points, 102, 388 points (computation), 389 radiative, 117, 125 equipotential surfaces, 3, 18, 77, 82, 95, 99,

103, 105, 106, 109, 112, 114 errors estimation of, 369 in the presence of correlations, 205 interpretation of, 204, 205 numerical, 204 probable, 318 sources of, 37, 204 sources of photometric, 181 statistical, 204 systematic, 204 Euclidean norm, 362 extinction, 41, 45

atmospheric, 39, 41, 53 circumstellar, 144, 145 differential, 53

faculae, 123

feasible region, 171, 356

Fibonacci line search, 192

finite differences, 216

flat-fielding, 43

flocculi, 132

flux local bolometric, 117 monochromatic, 128, 214 total emitted, 128 force centrifugal, 77, 383 Coriolis, 99 field, 101 radiation, 104 tidal, 77, 85, 92 time-independent, 87 Fourier transforms, 295

140, 141, 160, 346 GauB-Legendre quadrature, 279 GauB quadrature, 274 generalized inverse, 186 Gliese 876b, 248 gradient, 353

graphical user interface, 335

graphics packages, 331 gravitational radiation, 112 gravitational waves, 26 gravity brightening, 115, 116, 381, 383 gravity darkening, 116 grid approach, 369, 371

Ha line, 132, 157

Ha line profiles, 143

Ha-index, 140

Halley's method, 379

Hankel transforms, 295

Hardie extinction method, 45

Heisenberg Uncertainty Principle, 55

heliocentric correction, 42

358,364-367 Hipparcos mission, 11, 156 horizon, 107,129, 131, 279-281, 297 Householder transformation, 362 HST, xxxiii, 248-250, 255, 307, 319 Hubble Space Telescope, see HST, 12 hydrodynamics, 17, 117, 139, 142-144, 155, 326

IAU, xxxiii ideal gas law, 115 image processing, 43 image processing packages DAOGROW, 44 DAOPHOT, 44 DOPHOT, 44 IRAF, 44 MIDAS, 44 ROMAFOT, 44 inclination, 11, 83

initial parameters, 169, 185, 198, 199, 205,

242, 352, 379, 389-391, 404 initial point, 172 intensity, 104 interferometers, 131 interferometry aperture synthesis, 12 intensity, 13 long-base, 13 phase, 12 speckle, 13 intermediate orbits, 266 interpolation, 210-213 cubic splines, 213 interstellar dust, 57

extinction, 159, 344 reddening, 159, 199, 208, 344 intrinsic variability, 234 inverse problem, 76, 169, 170, 171, 174, 183,

211,372,385,391 ionization potential, 153 isoplanpatch, 12

Kepler mission, ix, 221, 241, 346 Kepler's equation, 88

numerical solution of, 379 Keplerian problem, 87 Kolmogoroff-Smirnov test, 369, 370 Kozai cycles, 236, 347 Kuhn-Tucker conditions, 357 point, 357

sufficiency theorem, 358 Kwee effect, 135

Lagrange multipliers, 172, 186, 356, 359 Lagrangian function, 356

inner L. point, 19, 102, 109, 110, 140 outer L. point, 110 points, 109,331,388 least-squares constrained, 359 damped, 184 equality constrained, 185 linear, 361

nonlinear, 75, 172, 360, 361, 364, 365, 366 unconstrained, 360 Legendre polynomials, 93 Leibniz's rule, 215 light curve solution, 171 light curves, 42

asymmetries in, 271 distortions of, 135, 140, 145 EA-type, 17 EB-type, 17 EW-type, 17 far-ultraviolet, 120 Fourier analysis of, 271 Fourier fit, 384 infrared, 17, 61 maxima, 384

monochromatic, 280 perturbations of, 135, 384 simulated, 370 synthetic, 24, 278, 347 types of, 15 light loss, 290

light-time effect, 132, 235,236, 278 limb eclipse effect, 153 limb-darkening, 91, 115 bolometric, 123 far-ultraviolet, 123, 321 linear, 120, 121, 275 logarithmic, 123, 284 nonlinear, 122, 321 polynomial, 122 quadratic, 122, 284 solar, 120, 123, 320 square-root, 123, 284 limiting lobes, 287 line blending, 53, 57 line broadening, 55-57, 150, 324 collisional, 55 Doppler, 56 natural, 55 rotational, 53 Stark, 56

145, 276, 324, 393 linear dispersion, 50 LSST, ix, 221,241,346 luminosity bolometric, 87, 208, 275 monochromatic, 208, 286 lunar occultations, 12

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