Abstract
Tidal torque constants are calculated for each component of 112 close eclipsing binaries of the DMS type (detached components located within the main sequence) from the catalogue by Svechnikov and Perevozkina (1999) on the basis of the evolutionary models by Claret (2004), which are the first to present constants for investigation of tidal effects in close binaries. This study applies conversion of a grid of model tracks into that of isochrones with an arbitrarily small time step based on optimal nonlinear interpolation. The small time-step criterion guarantees application of the linear interpolation procedure to estimate the age of the DMS components and find an individual set of tidal-evolution constants for the close binary under study that refers to the estimated time point. The theoretical values of the apsidal motion period calculated from the individual internal structure constants for each close binary are well consistent with the observations. This confirms the validity of the evolutionary stellar models by Claret and the numerical algorithm proposed here.
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References
Y. S. Ahn, “Photometric Observations of NY Cephei,” Astrophys. Space Sci. 198, 137–148 (1992).
T. Ak, B. Albayrak, S. O. Selam, and T. Tannverdi, “A New Light-Time Effect Study of TX Herculis,” New Astron. 9, 265–272 (2004).
S. H. P. Alencar, L. P. R. Vaz, and B. E. Helt, “Absolute Dimensions of Eclipsing Binaries. XXI. V906 Scorpii: a Triple System Member of M7,” Astron. Astrophys. 326, 709–721 (1997).
J. Andersen, “Spectroscopic Observations of Eclipsing Binaries. III. Definitive Orbits and Effects of Line Blending in CV Velorum,” Astron. Astrophys. 44, 355–362 (1975).
J. Andersen, “Spectroscopic Observations of Eclipsing Binaries IV. Absolute Dimensions of the Giant System SZ Centauri,” Astron. Astrophys. 45, 203–208 (1975).
J. Andersen and J. V. Clausen, “Absolute Dimensions of Eclipsing Binaries. XV. EM Carinae,” Astron. Astrophys. 213, 183–194 (1989).
J. Andersen, J. V. Clausen, and A. Gimenez, “Absolute Dimensions of Eclipsing Binaries. XX. GG Lupi — Young Metal Deficient B-Stars,” Astron. Astrophys. 277, 439–451 (1993).
J. Andersen, J. V. Clausen, and P. Magain, “Absolute Dimensions of Eclipsing Binaries. XIV. UX Mensae,” Astron. Astrophys. 211, 346–352 (1989).
J. Andersehn, J. V. Clausen, and B. Nordstrom, “Absolute Dimensions of Eclipsing Binaries. V. VV Pyxidis, a Detached Early A-Type System with Equal Components,” Astron. Astrophys. 134, 147–157 (1984).
J. Andersen, J. V. Clausen, and B. Nordstrom, “Absolute Dimensions of Eclipsing Binaries. VI. The F-Type System DM Virginis,” Astron. Astrophys. 137, 281–286 (1984).
J. Andersen, J. V. Clausen, and B. Nordstrom, “Absolute Dimensions of Eclipsing Binaries. XII. TZ Mensae,” Astron. Astrophys. 175, 60–70 (1987).
J. Andersen, J. V. Clausen, B. Nordstrom, and B. Reipurth, “Absolute Dimensions of Eclipsing Binaries. I. The Early-Type Detached System QX Carinae,” Astron. Astrophys. 121, 271–280 (1983).
J. Andersen, H. Gjerloff, and M. Imbert, “Spectroscopic Observations of Eclipsing Binaries. II. Absolute Dimensions, Evolutionary State, and Helium Content of RZ Chamaeleontis,” Astron. Astrophys. 44, 349–353 (1975).
J. Andersen, B. Nordstrom, and J. V. Clausen, “Absolute Dimensions of Eclipsing Binaries. XVI. V1031 Orionis,” Astron. Astrophys. 228, 365–378 (1990).
J. Andersen and D. M. Popper, “The G-Type Eclipsing Binary TY Pyxidis,” Astron. Astrophys. 39, 131–134 (1975).
J. Andersen and L. P. R. Vaz, “Absolute Dimensions of Eclipsing Binaries. II. KM Hydrae — A Detached AM System with Unequal Components,” Astron. Astrophys. 130, 102–110 (1984).
M. J. Barembaum and P. B. Etzel, “A Photometric Analysis of the Apsidal Motion Binary System PV Cassiopeiae,” Astron. J. 109, 2680–2689 (1995).
R. A. Botsula, “Nonstationary Conditions in Eclipsing Binary Systems with UV Leo Solar-Type Components,” Izv. Engelhardt Obs. 43–44, 170–184 (1978).
J. F. Burns, E. F. Giunan, and J. J. Marshall, “New Apsidal Motion Determination of the Eccentric Eclipsing Binary V1143 Cygni,” IBVS, No. 4364 (1996).
O. Cakirli, C. Ibanoglu, and A. Frasca, “A Spectroscopic Study of the Close Eclipsing Binary HS Herculis,” Astron. Astrophys. 474, 579–584 (2007).
B. W. Casey, R. D. Mathieu, N. B. Suntzeff, and F. M. Walter, “The Pre-Main-Sequence Triple TY CrA: Spectroscopic Detection of the Secondary and Tertiary Components,” Astron. Astrophys. 109, 2156–2168 (1995).
S. Chandrasekhar, “The Equilibrium of Distorted Polytropes. III. The Double Star Problem,” Mon. Not. R. Astron. Soc. 93, 462–471 (1933).
G. Chauvin, A. M. Lagrange, H. Beust, et al., “VLT/NACO Adaptive Ptics Imaging of the TY CrA System. A Fourth Stellar Component Candidate Detected,” Astron. Astrophys. 406, 51–54 (2003).
Kim Chun-Hwey, Nha Il-Seong, and J. Kreiner, “A Possible Detection of a Second Light-Time Orbit for the Massive, Early-Type Eclipsing Binary Star AH Cephei,” Astron. J. 129, 990–1000 (2005).
A. Claret, “New Grids of Stellar Models Including Tidal-Evolution Constants up to Carbon Burning. I. From 0.8 to 125 M⊙ at Z = 0.02,” Astron. Astrophys. 424, 919–925 (2004).
A. Claret, A. Gimenez, and E. L. Martin, “A Test Case of Stellar Evolution: the Eclipsing Binary EK Cephei. A System with Accurate Dimensions, Apsidal Motion Rate and Lithium Depletion Level,” Astron. Astrophys. 302, 741–744 (1995).
J. V. Clausen, “V539 Arae: First Accurate Dimensions of a Slowly Pulsating B Star,” Astron. Astrophys. 308, 151–169 (1996).
J. V. Clausen, “Absolute Dimensions of Eclipsing Binaries. XIX: BW Aquarii — A Late F-Type Indicator of Overshooting,” Astron. Astrophys. 246, 397–406 (1991).
J. V. Clausen and B. Gronbech, “Four-Colour Photometry of Eclipsing Binaries. VIII. CV Velorum, Light Curves, Photometric Elements and Absolute Dimensions,” Astron. Astrophys. 58, 131–137 (1977).
J. V. Clausen and B. Nordstrom, “Four-Colour Photometry of Eclipsing Binary, XA — Photometric Elements, Absolute Dimensions and Helium Abundance of Chi-2 Hydrae,” Astron. Astrophys. 67, 15–22 (1978).
T. G. Cowling, “On the Motion of the Apsidal Line in Close Binary Systems,” Mon. Not. R. Astron. Soc. 98, 734–743 (1938).
O. L. Degirmenci, “Photometry and Analysis of the Eclipsing Binary IQ Persei,” Astrophys. Space Sci. 253, 237–252 (1997).
K. de Mey, C. Aerts, C. Waelkens, and H. van Winckel, “The Early-Type Multiple Systems ? Orionis. II. Line Profile Variations in Component Ab,” Astron. Astrophys. 310, 164–172 (1996).
O. Demircan and E. Derman, “1988 Light Curves of RX Herculis,” IBVS, No. 3403 (1989).
M. Drozdz, “CCD Obwervations of DN UMa,” Int. Amateur-Prof. Photoel. Photom. Commun. 67, 30–33 (1997).
M. Drozdz, J. Krzesinski, and G. Pajdosz, “Apsidal Motion of IQ Persei,” IBVS, No. 3494 (1990).
G. N. Dryomova and M. A. Svechnikov, “Methods of Age Extimation for Detached Binary Systems,” Asrophys. Space Sci. 283, 309–336 (2003).
F. C. Fekel, “Chromospherically Active Stars. IV. HD 178450=V478 Lyr: An Early-Type BY Draconis Type Binary,” Astron. J. 95, 215–219 (1988).
J. M. Garcia and A. Gimenez, “Photometric Elements of the Eclipsing Binary DN UMa = HR 4560,” Astrophys. Space Sci. 125, 181–188 (1986).
A. Gimenez and J. V. Clausen, “AG Persei: Absolute Dimensions and Membership of Perseus OB2,” Astron. Astrophys. 291, 795–804 (1994).
A. Gimenez, J. V. Clausen, and J. Andersen, “Four-Colour Photometry of Eclipsing Binaries. XXIA Photometric Analysis and Apsidal Motion Study of V346 Centauri,” Astron. Astrophys. 160, 310–320 (1986).
A. Gimenez, J. V. Clausen, and K. Jensen, “Four-Colour Photometry of Eclipsing Binaries. XXIV. Apsidal Motion of QX Carinae, ζ Phoenicis and NO Puppis,” Astron. Astrophys. 159, 157–165 (1986).
A. Gimenez and J. M. Quintana, “Apsidal Motion and Revised Photometric Elements of the Eccentric Eclipsing Binary V477 Cygni,” Astron. Astrophys. 260, 227–236 (1992).
G. Giuricin and F. Mardirossian, “Revised Photometric Elements of Five Eclipsing Binaries,” Astron. Astrophys. Suppl. Ser. 45, 499–505 (1981).
G. Giuricin, F. Mardirossian, and M. Mezzetti, “AN And—A Detached Eclipsing Binary System with an AM Primary Member,” Astron. Astrophys. 114, 74–76 (1982).
S. Yu. Gorda, “Identification of the Variable Component of ADS 8347 (DN UMa),” Astron. Lett. 20, 446–448 (1994).
E. F. Guinan, J. J. Marshal, and F. P. Maloney, “A New Apsidal Motion Determination for DI Herculis,” IBVS, No. 4101 (1994).
E. F. Guinan, I. Ribas, E. L. Fitzpatrick, et al., “Eclipsing Binaries as Astrophysical Laboratories: Internal Structure, Core Convection, and Evolution of the B-Star Components of V380 Cygni,” Astrophys. J. 544, 409–422 (2000).
R. Haefner, I. Skillen, and M. de Groot, “Absolute Parameters of the Early-Type Double-Lined Eclipsing Binary AL Sculptoris (HD 224113),” Astron. Astrophys. 179, 141–156 (1987).
G. Hill, R. W. Hilditch, G. C. L. Aikman, and B. Khalesseh, “Studies of Early-Type Variable Stars. 8. The Massive Binary System CC Cassiopeiae,” Astron. Astrophys. 282, 455–466 (1994).
D. E. Holmgren and P. Hadrava, et al., “Search for Forced Oscillations in Binaries. III. Improved Elements and the Detection of Lin-Profile Variability of the B4V + A6V: System AR Cassiopeiae,” Astron. Astrophys. 345, 855–868 (1999).
D. E. Holmgren, G. Hill, and C. D. Scarfe, “New Apsidal-Moton Parameters for Y Cygni,” Observatory 115, 188–192 (1995).
D. E. Holmgren, C. D. Scarfe, G. Hill, and W. A. Fisher, “Absolute Dimensions of Early-Type Eclipsing Binary Stars. I. NY Cephei,” Astron. Astrophys. 231, 89–94 (1990).
D. P. Hube and J. S. Couch, “DE Draconis — Spectroscopic Orbit, Rotation Effect and Physical Model,” Astrophys. Space Sci. 81, 357–368 (1982).
D. P. Hube and B. E. Martin, “The Eclipsing Binary HD 174853. II. Photometric Analysis and Model,” Astron. J. 102, 1777–1783 (1991).
M. Imbert, “Photoelectric Radial Velocities of Eclipsing Binaries. III — Orbital Elements of AN Cam,” Astron. Astrophys. Supl. Ser. 67, 161–167 (1987).
K. W. Jeffreys, “A Photometric Study of the Eclipsing Binary RX Hercules,” Astron. Astrophys. Suppl. Ser. 42, 285–288 (1980).
C. D. Kandpal, “Photoelectric Elements of the Binary System AO Monocerotis,” Astrophys. Space Sci. 40, 3–14 (1976).
C. D. Kandpal and J. B. Srivastava, “Photoelectric Elements of the Eclipsing Binary ZZ Cephei,” Bull. Astron. Inst. Czech. 18, 265–269 (1967).
Kh. F. Khaliullin and A. I. Khaliullina, “The Third Body in the Eclipsing System RR Lyn,” Astron. Rep. 46, 119–126 (2002).
Kh. F. Khaliullin and A. I. Khaliullina, “Apsidal Motion and the Third-Body Problem in the Binary HS Her,” Astron. Rep. 50, 814–822 (2006).
Kh. F. Khaliullin and V. S. Kozyreva, “Apsidal Motion in the Eclipsing Binary AS Cam,” Astrophys. Space Sci. 94, 115–122 (1983).
Kh. F. Khaliullin and V. S. Kozyreva, “Photometric Light Curves and Physical Parameters of the Eclipsing Binary Systems IT Cas, CO Cep, AI Hya with Possible Apsidal Motions,” Astrophys. Space Sci. 155, 53–69 (1989).
A. F. Kholtygin, T. E. Burlakova, S. N. Fabrika, and G. G. Valyavin, “Binary Stars as Critical Tools and Tests in Contemporary Astrophysics,” in Proceedings of the Internat. Astron. Union. Symposium No. 240, 22–25 Aug. 2006, Prague, Czech. Republic (Prague, 2006), p. 391.
R. H. Koch and B. J. Hrivnak, “A Photometric Study of the Close Binary Delta Orionis A,” Astrophys. J. 248, 249–255 (1981).
Z. Kopal, Close Binary Systems (Chapman and Hall, London, 1959).
Z. Kopal, Dynamics of Close Binary Systems (Reidel, Dordrecht, 1978).
A. V. Krylov, L. V. Mossakovskaya, Kh. F. Khaliullin, and A. I. Khaliullina, “Apsidal Motion and Physical Parameters of the Eclipsing Binary System AR Cas,” Astron. Rep. 47, 551–561 (2003).
C. H. Lacy, “Absolute Dimensions and Masses of Eclipsing Binaries. II. YZ Cassiopeiae,” Astrophys. J. 251, 591–596 (1981).
C. H. Lacy, “Absolute Dimensions and Masses of Eclipsing Binaries. II. CW Canis Majoris,” Astrophys. J. 261, 612–616 (1982).
C. H. Lacy, “Absolute Dimensions and Masses of AD Bootis,” Astron. J. 113, 1406–1410 (1997).
C. H. Lacy and M. L. Frueh, “Properties of the Main-Sequence Eclipsing Binary V442 Cygni,” Astron. J. 94, 712–722 (1987).
C. H. Lacy, O. Gulmen, N. Gudur, and C. Sezer, “Properties of the Main-Sequence Eclipsing Binary UZ Draconis,” Astron. J. 97, 822–835 (1989).
P. Lampens, “Observational Aspects of Two Delta Scuti Variables in Binaries or Multiple Stars: Theta 2 Tau and RS Cha,” ASP Conf. Proc. 256, 149–155 (2002).
D. W. Latham, B. Nordstrom, J. Andersen, et al., “Accurate Mass Determination for Double-Lined Spectroscopic Binaries by Digital Cross-Correlation Spectroscopy: DM Virginis Revisited,” Astron. Astrophys. 314, 864–870 (1996).
H. Lehmann, P. Harmanec, C. Aerts, et al., “A New Analysis of the Radial Velocity Variations of the Eclipsing and Spectroscopic Binary EN Lacertae,” Astron. Astrophys. 367, 236–249 (2001).
A. P. Linnell, P. B. Etzel, I. Hubeny, and E. C. Olson, “A Photometric and Spectrophotometric Study of MR Cygni,” Astrophys. J. 494, 773–782 (1998).
R. D. Lorenz, P. Mayer, and H. Drechsel, “SZ Camelopardalis — An Early-Type Eclipsing Binary Embedded in a Multiple System,” Astron. Astrophys. 332, 909–927 (1998).
F. P. Maloney, E. F. Guinan, L. Barge, and R. Mardling, “Revisiting the Anomalous Apsidal Motion of the Eccentric Eclipsing Binary DI Herculis,” Bull. Am. Astron. Soc. 35, 1224 (2003).
F. P. Maloney, E. F. Guinan, and P. Boyd, “Eclipsing Binary Stars as Tests of Gravity Theories — The Apsidal Motion of AS Camelopardalis,” Astron. J. 98, 1800–1813 (1989).
B. Martin, D. Hube, and D. Lyder, “The Ellipsoidal Variable 42 Persei — Observations and Model,” Publ. Astron. Soc. Pacif. 102, 1153–1160 (1990).
D. Ya. Martynov and Kh. F. Khaliullin, “On the Relativistic Motion of the Periastron in the Eclipsing Binary System DI Herculis,” Astrophys. Space Sci. 71, 147–170 (1980).
K. Maslev and A. Nikolov, “The Motion of the Line of Apsides of Zeta Phoenicis,” Astrpophys. Space Sci. 154, 281–285 (1989).
P. Mayer, P. Hadrava, P. Harmanec, and D. Chohol, “New Data on the Eclipsing Binary V1765 CYG (HR 7551) and Improved Orbital and Light-Curve Solutions,” Bull. Astron. Inst. Czech. 42, 230–240 (1991).
P. Mayer, R. Lorenz, and H. Drechsel, “Spectroscopy of Four Early-Type Eclipsing Binaries,” Astron. Astrophys. 388, 268–278 (2002).
T. S. Metcalfe, T. D. Mathieu, D. W. Latham, and G. Torres, “The Low-Mass Double-Lined Eclipsing Binary CM Draconis: A Test of the Primordial Helium Abundance and the Mass-Radius Relation Near the Bottom of the Main Sequence,” Astrophys. J. 456, 356–364 (1996).
J. W. Mofflat, “New Theory of Gravitation,” Phys. Rev. D: Part. Fields 19, 3554–3558 (1979).
J. W. Mofflat, “The Orbital Motion of DI Herculis as a Test of a Theory of Gravitation,” Astrophys. J. Lett. 287(Pt 2), 77–79 (1984).
J. W. Mofflat, “Cosmions in the Nonsymmetric Gravitational Theory,” Phys. Rev. D: Part. Fields 39, 474–484 (1989).
D. G. Monet, “A Discussion of Apsidal Motion Detected in Selected Spectroscopic Binary Systems,” Astrophys. J. 237, 513–528 (1980).
L. V. Mossakovskaya and Kh. F. Khaliullin, “Apsidal Motion in the System V478 Cyg,” Astron. Lett. 22, 132–134 (1996).
B. Nordstrom and K. T. Johansen, “Radii and Masses for Young Star AR Aurigae,” Astron. Astrophys. 282, 787–800 (1994).
B. Nordstrom and K. T. Johansen, “Radii and Masses for Beta Aurigae,” Astron. Astrophys. 291, 777–785 (1994).
T. Panchatsaram and K. D. Abhyankak, “On the Orbital Periods of the Eclipsing Binaries CM Lacertae, AB Andromedae and YY Eridani,” Astron. Soc. India Bull. 9, 243–248 (1981).
D. M. Popper, “Rediscussion of Eclipsing Binaries. VII. WZ Ophiuchi and Other Solar-Type Stars,” Astrophys. J. 141, 126–144 (1965).
D. M. Popper, “Rediscussion of Eclipsing Binaries. XII. V805 Aquilae and EE Pegasi, Two Main-Sequence Systems with Unequal Components,” Astrophys. J. 244, 541–545 (1981).
D. M. Popper, “HD 208095—Disappearance of the Last of the Overmassive Detached Binaries,” Publ. Astron. Soc. Pacif. 94, 76–79 (1982).
D. M. Popper, “The F-Type Eclipsing Binaries ZZ Bootis, CW Eridani, and BK Pegasi,” Astron. J. 88, 1242–1256 (1983).
D. M. Popper, “Rediscussion of Eclipsing Binaries. XI. The Bright AM System V624 Herculis,” Astron. J. 89, 1057–1062 (1984).
D. M. Popper, “Spectroscopic Orbits of Two Early A-Type Eclipsing Binaries EG Serpentis and DN Ursae Majoris,” Publ. Astron. Soc. Pacif. 98, 1312–1316 (1986).
D. M. Popper, “Rediscussion of Eclipsing Binaries. XVI. The Detached Early A Type Binaries PV Cassiopeiae and WX Cephei,” Astron. J. 93, 672–677 (1987).
D. M. Popper, “Rediscussion of Eclipsing Binaries. XVIII. Faint Secondaries in the Spectra of Early B-Type Systems,” Publ. Astron. Soc. Pacif. 105, 721–730 (1993).
D. M. Popper, J. Andersen, J. V. Clausen, and B. Nordstrom, “Absolute Dimensions of Eclipsing Binaries. IX — The Early AM System GZ Canis Majoris,” Astron. J. 90, 1324–1333 (1985).
D. M. Popper and P. B. Etzel, “Photometric Orbits of Seven Detached Eclipsing Binaries,” Astron. J. 86, 102–120 (1981).
D. M. Popper, C. H. Lacy, M. L. Frueh, and A. E. Turner, “Properties of Main-Sequence Eclipsing Binaries — Into the G Stars with HS Aurigae, FL Lyrae, and EW Orionis,” Astron. J. 91, 383–404 (1986).
I. Ribas, C. Jordi, and J. Torra, “CD Tau: a Detached Eclipsing Binary with a Solar-Mass Companion,” Mon. Not. R. Astron. Soc. 309, 199–207 (1999).
H. N. Russell, “On the Advance of Periastron in Eclipsing Binaries,” Mon. Not. R. Astron. Soc. 88, 641–643 (1928).
A. Sanyal, H. S. Mahra, and N. B. Sanwal, “Photoelectric Observations of the Eclipsinbg Variable IM Monocerotis,” Bull. Astron. Inst. Czech. 16, 209–212 (1965).
S. J. Schiller and E. F. Milone, “Photometric Analysis of the Hyades Eclipsing Binary HD 27130,” Astron. J. 93, 1471–1483 (1987).
H. Schneller, “Lichtelektrische Beobachtungen und Systemkonstanten des Bedeckungsveranderlichen EO Aurigae,” Astron. Nachr. 287, 49–53 (1963).
R. R. Shobbrook, N. R. Lomb, and D. Evans, “The Short Period Light and Velocity Variations in Alpha Virginis,” Mon. Not. R. Astron. Soc. 156, 165–180 (1972).
J. Southworth, P. F. L. Maxted, and B. Smalley, “Eclipsing Binaries in Open Clusters. II. V453 Cyg in NGC 6871,” Mon. Not. R. Astron. Soc. 351, 1277–1289 (2004).
J. Southworth, B. Smalley, P. F. L. Maxted, et al., “Absolute Dimensions of Detached Eclipsing Binaries. I. The Metallic-Lined System WW Aurigae,” Mon. Not. R. Astron. Soc. 363, 529–542 (2005).
R. K. Srivastava, “A New Period and Period Changes in VZ Hydrae,” Astrophys. Space Sci. 133, 71–79 (1987).
R. K. Srivastava, “An Analysis of the Light Changes of the Eclipsing Binary XY Ceti in the Frequency-Domain,” Astrophys. Space Sci. 138, 197–2007 (1987).
J. B. Srivastava and C. D. Kandpal, “Photoelectric Elements of the Eclipsing Binary TX Leo,” Bull. Astron. Inst. Czech. 19, 381–389 (1968).
T. E. Sterne, “Apsidal Motion in Binary Stars,” Mon Not. R. Astron. Soc. 99, 451–462 (1939).
D. J. Stickland, R. H. Koch, and R. J. Pfeiffer, “Spectroscopic Binary Orbits from Ultraviolet Radial Velocities. X. CW Cephei (HD 218066),” Observatory 112, 277–281 (1992).
M. A. Svechnikova, L. F. Istomin, and O. A. Grekhova, “Elaboration and Application of Prime Criteria for Mass Classification of the Eclipsing Binaries. II. Classifications of Eclipsing Variables from the General Catalogue of Variable Stars, III Edition and Its Applications,” Variable Stars 21, 413–443 (1980).
M. A. Svechnikov and E. L. Perevozkina, Catalogue of Orbital Elements, Masses and Luminosities of Variable Stars of DMS-Type and Some Results of Its Statistical Treatment (Yekaterinburg, Ural State Univ., 1999), pp. 1–5, ftp://cdsarc.u-strasbg.fr/pub/cats/V/121.
D. Terrell, U. Munari, and A. Siviero, “Observational Studies of Early-Type Binary Stars: VV Orionis,” Mon. Not. R. Astron. Soc. 374, 530–534 (2007).
J. Tomkin, “Secondaries of Eclipsing Binaries. V. EK Cephei,” Astrophys. J. 271, 717–724 (1983).
J. Tomkin and D. M. Popper, “Rediscussion of Eclipsing Binaries. XV-Alpha Coronae Borealis, a Main-Sequence System with Components of Types A and G,” Astron. J. 91, 1428–1437 (1986).
G. Torres, J. Andersen, B. Nordstrom, and D. W. Latham, “Absolute Dimensions of Eclipsing Binaries. XXIII. The F-Type System EI Cephei,” Astron. J. 119, 1942–1955 (2000).
G. Torres, R. P. Stefanik, J. Andersen, et al., “The Absolute Dimensions of Eclipsing Binaries. XXII. The Unevolved F-Type System HS Hydrae,” Astron. J. 114, 2764–2777 (1997).
J.-L. Trudel, J. D. Fernie, and S. Mochnacki, “The Eclipsing Binary EG Serpentis,” Astron. J. 105, 2291–2298 (1993).
W. V. van Hamme, “Period Changes in Detached Close Binary Systems Due to Anisotropic Ejection of Mass,” Astron. Astrophys. 107, 397–401 (1982).
W. V. Van Hamme, D. S. Hall, A. W. Hargrove, et al., “The Two Variables in the Triple System HR 6469 = V819 Her: One Eclipsing, One Spotted,” Astron. J. 107, 1521–1528 (1994).
L. P. R. Vaz and J. Andersen, “Absolute Dimensions of Eclipsing Binaries. IV. PV Puppis, a Detached Late A-Type System with Equal, Intrinsically Variable Components,” Astron. Astrophys. 132, 219–228 (1984).
L. P. R. Vaz, J. Andersen, and A. Claret, “Absolute Dimensions of Eclipsing Binaries. XXV. U Ophiuchi and the Evolution and Composition of 5 Mo Stars,” Astron. Astrophys. 469, 285–296 (2007).
N. H. Volgenau, E. F. Guinan, P. B. Etzel, et al., “Eclipsing Binaries as Astrophysical Laboratories: Probing the Internal Structure of the Moderate Mass Stars of CO Lacertae,” in Proceedings of the 186th Amer. Astron. Society Meeting, BAAS 27, 878 (1995).
I. M. Volkov, “The Discovery of Apsidal Motion in the Binary System Alpha CrB,” IBVS, No. 3876 (1993).
D. B. Williams, M. E. Baldwin, and D. H. Kaiser, “Photometry of the New Eclipsing Binary DHK 16 = SAO 80992,” IBVS, No. 3514 (1990).
M. Wolf, “Apsidal Motion in Southern Eccentric Eclipsing Binaries: YY Sgr, V523 Sgr, V1647 Sgr, V2283 Sgr and V760 Sco,” Astron. Astrophys. 356, 134–140 (2000).
M. Wolf, R. Diethelm, and K. Hornoch, “Apsidal Motion in Eccentric Eclipsing Binaries: TV Ceti and V451 Ophiuchi,” Astron. Astrophys. 374, 243–249 (2001).
M. Wolf, R. Diethelm, and L. Sarounova, “Apsidal Motion and Light-Time Effect in the Eclipsing Binaries RU Monocerotis and DR Vulpeculae,” Astron. Astrophys. 345, 553–558 (1999).
M. Wolf, P. Harmanec, R. Diethelm, et al., “Apsidal Motion and Light-Time Effect in Eclipsing Binaries HS Herculis and U Ophiuchi,” Astron. Astrophys. 383, 533–539 (2002).
M. Wolf, H. Kusakova, M. Kolasa, et al., “Apsidal Motion in Eccentric Eclipsing Binaries: CW Cephei, V478 Cygni, AG Persei, and IQ Persei,” Astron. Astrophys. 456, 1077–1083 (2006).
M. Wolf, L. Sarounova, V. S. Kozyreva, and T. Pogrocheva, “Eccentric Eclipsing Binary Stars as Test of General Relativity: The Case of EW Orionis,” IBVS, No. 4542 (1997).
M. Wolf and M. Zejda, “Apsidal Motion in Southern Eccentric Eclipsing Binaries: V539 Ara, GG Lup, V526 Sgr and AO Vel,” Astron. Astrophys. 437, 545–551 (2005).
K. Yakut, C. Aerts, and T. Morel, “The Early-Type Close Binary CV Velorum Revisited,” Astron. Astrophys. 467, 647–655 (2007).
A. Young, “A Spectroscopic Orbit for the AM Eclipsing System AN Andromedae,” Publ. Astron. Soc. Pacif. 86, 63–66 (1974).
J.-P. Zahn, “Les marées dans une étoile double serrée,” Ann. Astrophys. 29, 313–330; 489–506; 565–591 (1966).
J.-P. Zahn, “Forced Oscillations in Close Binaries. The Adiabatic Approximation,” Astron. Astrophys. 4, 452–461 (1970).
J.-P. Zahn, “The Dynamical Tide in Close Binaries,” Astron. Astrophys. 41, 329–344 (1975).
J.-P. Zahn, “Tidal Friction in Close Binary Stars,” Astron. Astrophys. 57, 383–394 (1977).
J.-P. Zahn, “Tidal Effects in Close Binary Stars,” in Proceedings of the IAU Symposium No. 105, Observational Tests of the Stellar Evolutionary Theory, Ed. by A. Maeder and A. Renzini (Reidel, Dordrecht, 1984), pp. 379–389.
J.-P. Zahn, “Tidal Evolution of Close Binary Stars. I. Revisiting the Theory of the Equilibrium Tide,” Astron. Astrophys. 220, 112–116 (1989).
P. Zasche and M. Wolf, “Combining Astrometry with the Light-Time Effect: The Case of VW Cep, ζ Phe and HT Vir,” Astron. Nachr. 328, 928–937 (2007).
J. Ziznovsky, “Noncircular Orbit of TU Cam,” IBVS, No. 2251 (1982).
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Original Russian Text © G.N. Dremova, M.A. Svechnikov, 2011, published in Kinematika i Fizika Nebesnykh Tel, 2011, Vol. 27, No. 2, pp. 8–30.
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Dremova, G.N., Svechnikov, M.A. Calculation of tidal-evolution constants for close binary systems. Kinemat. Phys. Celest. Bodies 27, 62–78 (2011). https://doi.org/10.3103/S0884591311020048
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DOI: https://doi.org/10.3103/S0884591311020048