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Theoretical binaries

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Def. "[t]wo stars that appear to be one when seen with the naked eye, either because they orbit one another (binary stars) or happen to be in the same line of sight even though they are separated by a great distance"[1] is called a double star.

Def. "[a] star that appears as a double due to an optical illusion; in reality, the stars may be far apart from each other"[2] is called an optical double.

Def. "[t]wo stars which form a stellar system, such that they orbit the point of equilibrium of their gravitational fields"[1] is called a double star.

Def. "[a] stellar system that has two stars orbiting around each other"[3] is called a binary star.

“A binary star is a star system consisting of two stars orbiting around their common center of mass. The brighter star is called the primary and the other is its companion star, ... or secondary. Many visual binaries have long orbital periods of several centuries or millennia and therefore have orbits which are uncertain or poorly known.”[4]

Def. "[a] binary star whose components can be visually resolved"[5] is called a visual binary.

"The overall frequency of occurrence of binary stars among the [pre-main sequence] PMS population is at least as large as has been documented for main-sequence stars (Duquennoy & Mayor 1991), that is, certainly greater than 50%."[6]

"Young, stellar-mass binary systems have been found with semimajor axes ranging from 0.02 to 103 AU (orbital periods ranging from a couple of days to 104 years), with a binary frequency distribution as a function of semimajor axis that is qualitatively consistent with the log-normal–like distribution found for main-sequence stars. With this evidence in hand, Mathieu (1994) concluded that “binary formation is the primary branch of the star-formation process.”"[6]

Contact binaries

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Main resources: Stars/Binaries/Contacts and Contact binaries

"[A] contact binary is a binary star system whose component stars are so close that they touch each other or have merged to share their gaseous envelopes. ... Almost all known contact binary systems are eclipsing binaries;[7] eclipsing contact binaries are known as W Ursae Majoris variables, after their type star, W Ursae Majoris.[8]"[9]

Zero-age contacts

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“Zero-age contact must be a consequence of star fission under critical angular momentum.”[10] When the angular momentum is too large, the star breaks into a detached binary.[10] When the angular momentum is too small, the star remains as a single star.[10] BH Centauri and V1010 Ophiuchi have zero-age radii and are zero-age contact systems.[10] BH Centauri is an overcontact system.[10]

Common envelope binaries

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Main resources: Stars/Binaries/Common envelopes and Common envelope binaries
"This diagram suggests a reverse common envelope process for binary star formation. At some point in star formation, two cores, one for a main-sequence star (yellow) and the other for a red giant (gray) form within a common envelope. As mass transfer continues or decelerates, the red giant transfers to at or below its Roche lobe (dashed green line) and a partially stable binary is formed." Credit: Marshallsumter and Cryptic C62 *derivative work: Trex2001.

"[A] common envelope (CE) refers to a short-lived (months to years) phase in the evolution of a binary star in which the largest of the two stars (the donor star) has initiated unstable mass transfer to its companion star. Breach of the common envelope crosses the Lagrange Point L1 with the donor-star mass beyond the Roche Lobe acting as the third dynamic point in a formerly binary system. Mass transfer is unstable when the radius of the donor star expands more rapidly or shrinks less rapidly than does the binary orbit. Hence, the donor will start mass transfer when it overfills its Roche lobe and as a consequence the orbit may shrink while the star expands, causing it to overflow the Roche lobe even more, which accerelates the mass transfer, causing the orbit to shrink faster and the donor to expand faster, etcetera. This leads to the run-away process of dynamically unstable mass transfer. The result will be the fast expansion of the donor's stellar envelope, which will then engulf the companion star. Hence the name common envelope."[11]

Overcontact systems

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File:V701 Scorpii.jpg
This is a computer generated picture of V701 Scorpii. Credit: K.-C. Leung and Robert E. Wilson.

When stars share an envelope the pair may be called an overcontact binary.[12][13][14]

BH Centauri is a zero-age overcontact binary system with primary and secondary masses equal to (9.4±5.4) and (7.9±5.4) Mʘ.[15] With later analysis including more recent data, "the mass ratio went from 0.97 to 0.84, and the degree of overcontact went from 21% to 48%."[15]

V1010 Ophiuchi and V701 Scorpii are both overcontact systems.[16] For V1010 Ophiuchi "the masses are 2 and 1 M⊙ while the radii are 2.1 and 1.5 R⊙. The location in the HR diagram suggests that they are zero-age stars, as do the radii".[16]

At the right is a computer generated picture of the overcontact system V701 Scorpii. The overcontact in V701 Scorpii appears to be almost twice as much as in V1010 Ophiuchi.

"Most people would agree that fission is the most probable way to form binary systems, especially the close systems. The angular momentum must be the deciding factor as to whether a gas cloud becomes a single star or a binary system."[16]

Close binaries

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Main resources: Radiation astronomy/X-rays/Super softs/Close binaries and Close-binary supersoft sources

"The [close-binary supersoft source] CBSS model invokes steady nuclear burning on the surface of an accreting white dwarf (WD) as the generator of the prodigious super soft X-ray flux.[17] As of 1999, eight SSXSs have orbital periods between ~4 hr and 1.35 d: RX J0019.8+2156 (MW), RX J0439.8-6809 (LMC), RX J0513.9-6951 (LMC), RX J0527.8-6954 (LMC), RX J0537.7-7034 (LMC), CAL 83 (LMC), CAL 87 LMC), and 1E 0035.4-7230 (SMC).[17]"[18]

Symbiotic binaries

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Main resources: Stars/Binaries/Symbiots and Symbiotic binaries

"A symbiotic binary star is a variable binary star system in which a red giant has expanded its outer envelope and is shedding mass quickly, and another hot star (often a white dwarf) is ionizing the gas.[19] Three symbiotic binaries as of 1999 are SSXSs: AG Dra (BB, MW), RR Tel (WD, MW), and RX J0048.4-7332 (WD, SMC).[17]"[18]

Binary star formations

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Main resources: Stars/Star-forming/Binaries and Binary star formations

"Binary and multi-star systems consist of two or more stars that are gravitationally bound, and generally move around each other in stable orbits. When two such stars have a relatively close orbit, their gravitational interaction can have a significant impact on their evolution.[20]"[21] "[T]he masses of stars [are] determined from computation of the orbital elements."[21]

"Large lengths, such as the radius of a giant star or the semi-major axis of a binary star system, are often expressed in terms of the astronomical unit (AU)—approximately the mean distance between the Earth and the Sun (150 million km or 93 million miles)."[21]

"The most common multi-star system is a binary star, but systems of three or more stars are also found. For reasons of orbital stability, such multi-star systems are often organized into hierarchical sets of co-orbiting binary stars.[22] Larger groups called star clusters also exist. These range from loose stellar associations with only a few stars, up to enormous globular clusters with hundreds of thousands of stars."[21]

"If components in binary star systems are close enough they can gravitationally distort their mutual outer stellar atmospheres. In some cases, these close binary systems can exchange mass, which may bring their evolution to stages that single stars cannot attain. Examples of binaries are Sirius and Cygnus X-1 (of which one member is probably a black hole). Binary stars are also common as the nuclei of many planetary nebulae, and are the progenitors of both novae and type Ia supernovae."[4]

"The observation of binaries consisting of pre-main sequence stars, supports the theory that binaries are already formed during star formation."[4]

"The question of binary star formation is now regarded as a central unsolved issue in star formation, given the observational evidence that the majority of stars are in binary systems both during the main sequence ... and pre-main sequence stages".[23] "[T]he 'theory gap' currently separating theoretical models from the observations they purport to describe is the major unsolved problem in this area."[23]

Bifurcations

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Def. a "division into two"[24] is called bifurcation.

"Bifurcation means the splitting of a main body into two parts. ... Bifurcation theory [is] the study of bifurcation in dynamical systems ... [T]he forking of a river into its tributaries [is referred to as river bifurcation] ... [A bifurcation can be a] [f]alse dilemma ... in which two alternative statements are held to be the only possible options when there are more options ... [In cybernetics, a bifurcation is] when a system switches from one stable state to another, [where] minor fluctuations may play a crucial role in deciding the outcome"[25].

“About a century ago, Liapounov and Poincaré found that the sequence of Jacobi’s ellipsoids branches towards pear-shaped configurations for sufficiently high rotation.”[26]

Equatorial break-up and instability occur at the point of bifurcation.[27]

“Bifurcation of protostars can occur because of excessive angular momentum either during hydrodynamic collapse (‘fragmentation’), or else after the star has arrived on the HR diagram as a visible, slowly contracting star (‘fission’).”[28]

Spectral types B2-B5 and F3-G2 binaries with orbital periods shorter than 10 or 100 yr may result from the bifurcation of rapidly rotating protostars.[29]

Binary formation by ... bifurcation is difficult to achieve theoretically for compressible viscous gases and may not occur frequently or ever.[30]

Systems of spectroscopic binaries of periods less than 3.6 days "involve separations that are less than 2.5 times the sum of the radii of the components."[30]

These systems "probably have already exchanged mass and no longer have their original mass ratios."[30]

For these systems, we are unable to give their mecahnisms of origin.[30]

Provisionally, "most or all binaries [are] formed in capture processes (including initial star formation in bound systems) and that bifurcation or fission need not have occurred frequently."[30]

For the inclusion of compressibility and viscosity in theoretical calculations, "it is very difficult to produce binaries by fission and only under special circumstances."[30]

“In view of the high frequency of spectroscopic binaries, the formation mechanism must be a frequent one, not a rare occurrence."[30]

For most binaries to result from fission of a star into at least two stars, the expanding separation between the binaries must result in capture rather than expulsion from the system.

W Ursae Majoris

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The W Ursae Majoris "system consists of a pair of stars in a tight, circular orbit with a period of 0.3336 days, or eight hours and 23 seconds.[31] During every orbital cycle, each star eclipses the other, resulting in a decrease in magnitude. The maximum magnitude of the pair is 7.75. During the eclipse of the primary, the net magnitude drops by 0.73, while the eclipse of the secondary causes a magnitude decrease of 0.68.[32] Unlike normal eclipsing binaries, the contact nature makes it impossible to precisely tell when an eclipse of one component by the other starts or ends."[33]

"The two stars in W Ursae Majoris are so close together that their outer envelopes are in direct contact. Hence they have the same stellar classification of F8Vp, which matches the spectrum of a main sequence star that is generating energy through the nuclear fusion of hydrogen. However, the primary component has a larger mass and radius than the secondary, with 1.19 times the Sun's mass and 1.08 times the Sun's radius. The secondary has 0.57 solar masses and 0.78 solar radii.[31][34]"[33]

"The orbital period of the system has changed since 1903, which may be the result of mass transfer or the braking effects of magnetic fields. Star spots have been observed on the surface of the stars and strong X-ray emissions have been detected, indicating a high level of magnetic activity that is common to W Uma variables. This magnetic activity may play a role in regulating the timing and magnitude of mass transfer occurs.[35]"[33]

V1010 Ophiuchi

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File:V1010 light curves.jpg
These are light curves for the V1010 Ophiuchi system. Credit: Kam-Ching Leung and Robert E. Wilson.
File:V1010 Ophiuchi contact diagram.jpg
This diagram shows the contact configuration of V1010 Ophiuchi. Credit: Kam-Ching Leung and Robert E. Wilson.

Def. binaries "in which the stellar components are close enough that proximity effects are important but far enough apart that a large temperature differential may be maintained between the two stars" are called near-contact binaries.[36]

"V1010 Oph ... is one of the brightest and best studied of the near-contact (P=0.66d) binaries."[36] "The period of the binary is known to be decreasing ..., which can be understood in terms of conservative mass transfer (Shaw 1990)."[36] "If this star is truly an evolved system, it may have been in contact previously. ... [I]t is not now in contact"[36].

The temperatures of the two stars have been estimated spectrally as 8200 K and 5671 ± 30 K.[37]

The first image at the right contains two light curves for V1010 Ophiuchi: the top is in yellow at 550.0 nm and the bottom is in blue at 435.0 nm.[37]

The "eclipses are complete and the primary minimum is a transit [...] The system is in contact [shown in the second diagram at the right], with a surface potential near that of the inner contact surface [...] The temperature difference (2529 K) between the primary and secondary is quite large. This suggests that the temperature gradient at the interface must be very steep."[37]

"The appreciable departure between the theoretical light curves and the observations [in the first figure at the right] at the ascending branch of the secondary minimum is due to [a large asymmetry from absorbing gaseous matter]."[37]

"There are two likely ways to form contact systems:

  1. through star fission with critical angular momentum, i.e. the angular momentum is just right for the star to divide, but not large enough for it to be detached (zero-age contact);
  2. through mass exchange in which one or both components expand to fill the common envelope during the course of stellar evolution."[37]

"V1010 Oph has essentially a ZAMS radius. Thus this system is likely to be essentially a zero-age contact system [formed through star fission]."[37]

BH Centauri

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"The eclipsing binary system BH Cen is a close (contact) binary in the extremely young galactic cluster Córdoba XXVI (NGC 2944)."[38]

In 1928-30, "from ten light minima ... a (half) period P = 0.395790 7 [days is derived]."[39][40] This half period estimate becomes the period P = 0.791 581 4 d,[10] for the observations in 1928-30.

From more recent observations around 1977, P = 0.791 616 d.[15] And, from 1979, P = 0.791 592 10 ± 0.000 14.[38]

Beta Lyrae

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File:NewBetlyr2b.theora.ogv
"This video shows the aperture sythesis images of the Beta Lyrae system observed by the CHARA interferometer with the MIRC instrument. The brighter component is the primary star, or the mass donor. The fainter component is the disk surrounding the secondary star, or the mass gainer. The two components are separated by 1 milli-arcsecond."[41] Credit: Ming Zhao, Zhao et al. ApJ 684, L95.

"Beta Lyrae is a semidetached binary system made up of a stellar class B7II primary star and a secondary that is probably also a B-type star. The brighter, less massive star (B7II) in the system was once the more massive member of the pair, which caused it to evolve away from the main sequence first and become a giant star. Because the pair are in a close orbit, as this star expanded into a giant it filled its Roche lobe and transferred most of its mass over to its companion. The secondary, now more massive star is surrounded by an accretion disk from this mass transfer, with bipolar, jet-like features projecting perpendicular to the disk.[42] This accretion disk blocks our view of the secondary star, lowering its apparent luminosity and making it difficult for astronomers to pinpoint what its stellar type is. The amount of mass being transferred between the two stars is about 2 × 10–5 solar masses per year, or the equivalent of the Sun's mass every 50,000 years, which results in a increase in orbital period of about 19 seconds each year.[42]"[43]

"The orbital plane of this system is nearly aligned with the line of sight from the Earth, so the two stars periodically eclipse each other. This causes Beta Lyrae to regularly change its apparent magnitude from +3.4 to +4.6 over an orbital period of 12.9414 days. The two components are so close together that they cannot be resolved with optical telescopes, forming a spectroscopic binary. In 2008, the primary star and the accretion disk of the secondary star were resolved and imaged using the CHARA Array interferometer[44] and the Michigan InfraRed Combiner (MIRC)[45] in the near infrared H band (see video [at the right], allowing the orbital elements to be computed for the first time.[42]"[43]

Plaskett's star

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"Plaskett's Star (HR 2422) is a spectroscopic binary at a distance of [5,245] light-years (1,608 pc)[46]. It is one of the most massive binary stars known, with [components: A = 54 Mʘ[47] and B = 56 Mʘ[47] for] a total mass of around [110 Mʘ].[47] ... The pair have a combined visual magnitude of [6.06][48], and is located in the constellation of Monoceros. The orbital period for the pair is 14.39625 ± 0.00095 days.[47] The secondary is a rapid rotator with a projected rotational velocity of 300 km sec–1,[49] giving it a pronounced equatorial bulge.[47]"[50] Plaskett’s star is an example of fission.[51]

Solar-like binaries

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Main resources: Stars/Binaries/Solar like and Solar-like binaries
File:Aj424241f8 lr.jpg
This is a Keck adaptive optics image of TYC 4110-01037-1 in K′. Credit: Keith Matthews at the Keck Observatory.

For a solar-like binary system, the primary has Teff ≲ 6000 K.[52]

"TYC 4410-01037-1 [has] a mass of 1.07 ± 0.08 M⊙ and radius of 0.99 ± 0.18 R⊙. ... Teff = 5879 ± 29 K [and] [Fe/H] = -0.01 ± 0.05".[52]

At right is a Keck adaptive optics image of TYC 4110-01037-1 in K′. A faint candidate tertiary companion (indicated by the arrow) with red colors is separated by 986 ± 4 mas from the primary star. If it is physically associated with the primary, it is most likely a dM3-dM4 star. The companion is designated MARVELS-3B.

Its "low-mass stellar companion [has a] small mass ratio [ q ≥ 0.087 ± 0.003] and short orbital period [78.994 ± 0.012 days, which] are atypical amongst solar-like ... binary systems. [The orbit has] an eccentricity of 0.1095 ± 0.0023, and a semi-amplitude of 4199 ± 11 m s-1. ... the minimum companion mass (if sin i = 1) [is] 97.7 ± 5.8 MJup."[52]

"One possible way to create such a system would be if a triple-component stellar multiple broke up into a short period, low q binary during the cluster dispersal phase of its lifetime. A candidate tertiary body has been identified in the system via single-epoch, high contrast imagery. If this object is confirmed to be co-moving, ... it [may] be a dM4 star."[52]

See also

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References

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  1. ↑ 1.0 1.1 "double star, In: Wiktionary". San Francisco, California: Wikimedia Foundation, Inc. July 30, 2010. Retrieved 2012-07-10.
  2. ↑ "optical double, In: Wiktionary". San Francisco, California: Wikimedia Foundation, Inc. March 7, 2011. Retrieved 2012-07-10.
  3. ↑ "binary star, In: Wiktionary". San Francisco, California: Wikimedia Foundation, Inc. October 21, 2010. Retrieved 2012-07-10.
  4. ↑ 4.0 4.1 4.2 "Binary star, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. August 2, 2012. Retrieved 2012-08-06.
  5. ↑ "visual binary, In: Wiktionary". San Francisco, California: Wikimedia Foundation, Inc. August 1, 2010. Retrieved 2012-07-10.
  6. ↑ 6.0 6.1 Joel E. Tohline (September 2002). "The Origin of Binary Stars". Annual Review of Astronomy and Astrophysics 40 (1): 349-85. doi:10.1146/annurev.astro.40.060401.093810. http://www.annualreviews.org/doi/pdf/10.1146/annurev.astro.40.060401.093810. Retrieved 2013-10-23. 
  7. ↑ p. 231, Stellar Rotation, Jean Louis Tassoul, Andrew King, Douglas Lin, Stephen P. Maran, Jim Pringle, and Martin Ward, Cambridge, UK, New York: Cambridge University Press, 2000. ISBN 0-521-77218-4.
  8. ↑ p. 19, Double and Multiple Stars and how to Observe Them, James Mullaney, New York, London: Springer, 2005. ISBN 1-85233-751-6.
  9. ↑ "Contact binary, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. March 28, 2012. Retrieved 2012-08-06.
  10. ↑ 10.0 10.1 10.2 10.3 10.4 10.5 Kam-Ching Leung and Donald P. Schneider (February 1977). "Eclipsing systems in star clusters. III. Early-type contact system BH Centauri". The Astrophysical Journal 211 (2): 844-52. doi:10.1086/154993. 
  11. ↑ "Common envelope, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. June 29, 2012. Retrieved 2012-08-06.
  12. ↑ contact binary, David Darling, The Internet Encyclopedia of Science. Accessed on line November 4, 2007.
  13. ↑ overcontact binary, David Darling, The Internet Encyclopedia of Science. Accessed on line November 4, 2007.
  14. ↑ pp. 51–53, An Introduction to Astrophysical Fluid Dynamics, Michael J. Thompson, London: Imperial College Press, 2006. ISBN 1-86094-615-1.
  15. ↑ 15.0 15.1 15.2 Kam-Ching Leung, R. F. Sistero, Di-Sheng Zhai, A. Grieco, B. Candellero (June 1984). "Revised UBV photometric solution of the early-type contact system BH Centauri". The Astronomical Journal 89 (6): 872-5. doi:10.1086/113582. 
  16. ↑ 16.0 16.1 16.2 K.-C. Leung and R. E. Wilson (1976). P. Eggleton, S. Mitton, and J. Whelan. ed. An Aspect of Star Fission, In: Structure and Evolution of Close Binary Systems; Proceedings of the Symposium, Cambridge, England, July 28-August 1, 1975. Dordrecht: D. Reidel Publishing Co.. pp. 365-6. 
  17. ↑ 17.0 17.1 17.2 Greiner J (2000). "Catalog of supersoft X-ray sources". New Astron. 5 (3): 137–41. doi:10.1016/S1384-1076(00)00018-X. http://www.mpe.mpg.de/~jcg/sss/ssscat.html. 
  18. ↑ 18.0 18.1 Marshallsumter (March 8, 2013). "Super soft X-ray source, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. Retrieved 2013-05-18. {{cite web}}: |author= has generic name (help)
  19. ↑ "David Darling site symbiotic star description".
  20. ↑ Iben, Icko, Jr. (1991). "Single and binary star evolution". Astrophysical Journal Supplement Series 76: 55–114. doi:10.1086/191565. 
  21. ↑ 21.0 21.1 21.2 21.3 "Star, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. July 31, 2012. Retrieved 2012-08-06.
  22. ↑ Szebehely, Victor G.; Curran, Richard B. (1985). Stability of the Solar System and Its Minor Natural and Artificial Bodies. Springer. ISBN 90-277-2046-0. 
  23. ↑ 23.0 23.1 Cathie Clarke (January 1995). "Theories for Binary Star Formation". Astrophysics and Space Science 223 (1-2): 73-86. doi:10.1007/BF00989156. 
  24. ↑ "bifurcation, In: Wiktionary". San Francisco, California: Wikimedia Foundation, Inc. October 6, 2013. Retrieved 2013-10-23.
  25. ↑ "Bifurcation, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. May 2, 2012. Retrieved 2012-08-06.
  26. ↑ A. Maeder (May 1987). "Evidences for a bifurcation in massive star evolution. The ON-blue stragglers". Astronomy and Astrophysics 178 (1-2): 159-69. 
  27. ↑ James Hopwood Jeans (1929). Astronomy and Cosmogeny. Cambridge: Cambridge University Press. pp. 400. 
  28. ↑ Myron A. Smith, Jacques M. Beckers, and Samuel C. Barden (August 1983). "Rotation among Orion IC G stars-Angular momentum loss considerations in pre-main-sequence stars". The Astrophysical Journal 271 (8): 237-54. doi:10.1086/161190. 
  29. ↑ Helmut A. Abt (1981). T. Gehrels. ed. The binary frequency along the main sequence, In: Protostars and Planets. Tucson, Arizona: University of Arizona Press. pp. 323. 
  30. ↑ 30.0 30.1 30.2 30.3 30.4 30.5 30.6 Helmut A. Abt, Ana E. Gomez, and Saul G. Levy (October 1990). "The frequency and formation mechanism of B2-B5 main-sequence binaries". The Astrophysical Journal Supplement Series 74 (10): 551-73. doi:10.1086/191508. 
  31. ↑ 31.0 31.1 S. Bilir, Y. Karataş, O. Demircan, Z. Eker (February 2005). "Kinematics of W Ursae Majoris type binaries and evidence of the two types of formation". Monthly Notices of the Royal Astronomical Society 357 (2): 497–517. doi:10.1111/j.1365-2966.2005.08609.x. 
  32. ↑ O. Yu. Malkov, E. Oblak, E. A. Snegireva, J. Torra (February 2006). "A catalogue of eclipsing variables". Astronomy and Astrophysics 446 (2): 785–789. doi:10.1051/0004-6361:20053137. 
  33. ↑ 33.0 33.1 33.2 "W Ursae Majoris, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. March 25, 2012. Retrieved 2012-08-06.
  34. ↑ Gazeas, K.; Stȩpień, K. (November 2008). "Angular momentum and mass evolution of contact binaries". Monthly Notices of the Royal Astronomical Society 390 (4): 1577–1586. doi:10.1111/j.1365-2966.2008.13844.x. 
  35. ↑ Morgan, N.; Sauer, M.; Guinan, E. (1997). "New Light Curves and Period Study of the Contact Binary W Ursae Majoris". Information Bulletin on Variable Stars 4517: 1. 
  36. ↑ 36.0 36.1 36.2 36.3 M. F. Corcoran, M. J. Siah, E. F. Guinan (May 1991). "Hβ Photometry of V1010 Ophiuchi". The Astrophysical Journal 101 (5): 1828-34. doi:10.1086/115810. http://adsabs.harvard.edu/full/1991AJ....101.1828C. Retrieved 2012-08-06. 
  37. ↑ 37.0 37.1 37.2 37.3 37.4 37.5 Kam-Ching Leung and Robert E. Wilson (February 1, 1977). "The Early-Type Contact System V1010 Ophiuchi". The Astrophysical Journal 211 (02): 853-8. doi:10.1086/154994. http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1977ApJ...211..853L&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf. Retrieved 2014-04-11. 
  38. ↑ 38.0 38.1 R. F. Sistero, A. Grieco, and B. Candellero (April 1983). "The early-contact system BH Centauri - UBV photometry". Astrophysics and Space Science 91 (2): 427-33. http://adsabs.harvard.edu/full/1983Ap&SS..91..427S. Retrieved 2012-08-06. 
  39. ↑ P. Th. Oosterhoff (June 27, 1928). "First ephemerides of 25 variable stars". Bulletin of the Astronomical Institutes of the Netherlands 4 (148): 183-94. 
  40. ↑ P. Th. Oosterhoff (April 1930). "Improved elements of 7 variable stars". Bulletin of the Astronomical Institutes of the Netherlands 5 (184): 156. 
  41. ↑ "File:Betlyr2b.theora.ogv, In: Wikimedia Commons". San Francisco, California: Wikimedia Foundation, Inc. February 21, 2012. Retrieved 2012-08-06.
  42. ↑ 42.0 42.1 42.2 M. Zhao, D. Gies, J. D. Monnier, N. Thureau, E. Pedretti, F. Baron, A. Merand, T. ten Brummelaar, H. McAlister (September 2008). "First Resolved Images of the Eclipsing and Interacting Binary β Lyrae". The Astrophysical Journal 684 (2): L95–8. doi:10.1086/592146. 
  43. ↑ 43.0 43.1 "Beta Lyrae, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. August 2, 2012. Retrieved 2012-08-06.
  44. ↑ ten Brummelaar, Theo et al. (7 2005). "First Results from the CHARA Array. II. A Description of the Instrument". The Astrophysical Journal 628 (453). doi:10.1086/430729. 
  45. ↑ Monnier, John D.; et al. (2006), "Michigan Infrared Combiner (MIRC): commissioning results at the CHARA Array", Proceedings of the SPIE, 6268 (62681P), Bibcode:2006SPIE.6268E..55M, doi:10.1117/12.671982
  46. ↑ A. Megier, A. Strobel, G. A. Galazutdinov, J. Krełowski (November 2009). "The interstellar Ca II distance scale". Astronomy and Astrophysics 507 (2): 833–840. doi:10.1051/0004-6361/20079144. 
  47. ↑ 47.0 47.1 47.2 47.3 47.4 N. Linder, G. Rauw, F. Martins, H. Sana , M. De Becker, E. Gosset (October 2008). "High-resolution optical spectroscopy of Plaskett's star". Astronomy and Astrophysics 489 (2): 713–723. doi:10.1051/0004-6361:200810003. 
  48. ↑ H. L. Johnson, B. Iriarte, R. I. Mitchell, W. Z. Wisniewskj (1966). "UBVRIJKL photometry of the bright stars". Communications of the Lunar and Planetary Laboratory 4 (99). 
  49. ↑ L. Mahy, E. Gosset, F. Baudin, G. Rauw, M. Godart, T. Morel, P. Degroote, C. Aerts, R. Blomme (January 2011). "Plaskett's star: analysis of the CoRoT photometric data". Astronomy and Astrophysics 525: A101. doi:10.1051/0004-6361/201014777. 
  50. ↑ "Plaskett's star, In: Wikipedia". San Francisco, California: Wikimedia Foundation, Inc. June 14, 2012. Retrieved 2012-08-05.
  51. ↑ Otto Struve (June 1952). "Notes on stellar spectra, III". Publications of the Astronomical Society of the Pacific 67 (375): 117-21. doi:10.1086/126441. 
  52. ↑ 52.0 52.1 52.2 52.3 John P. Wisniewski, Jian Ge, Justin R. Crepp, Nathan De Lee, Jason Eastman, Massimiliano Esposito, Scott W. Fleming, B. Scott Gaudi, Luan Ghezzi, Jonay I. Gonzalez Hernandez, Brian L. Lee, Keivan G. Stassun, Eric Agol, Carlos Allende Prieto, Rory Barnes, Dmitry Bizyaev, Phillip Cargile, Liang Chang, Luiz N. DaCosta, G.F. Porto De Mello, Bruno Femenía, Leticia D. Ferreira, Bruce Gary, Leslie Hebb, Jon Holtzman, Jian Liu, Bo Ma, Claude E. Mack III, Suvrath Mahadevan, Marcio A.G. Maia, Duy Cuong Nguyen, Ricardo L.C. Ogando, Daniel J. Oravetz, Martin Paegert, Kaike Pan, Joshua Pepper, Rafael Rebolo, Basilio Santiago, Donald P. Schneider, Alaina C Shelden, Audrey Simmons, Benjamin M. Tofflemire, Xiaoke Wan, Ji Wang, Bo Zhao (May 2012). "Very Low-Mass Stellar and Substellar Companions to Solar-like Stars from MARVELS I: a Low Ratio Stellar Companion to TYC 4110-01037-1 in a 79-day Orbit". Astronomical Journal 143 (5): 107-18. doi:10.1088/0004-6256/143/5/107. http://iopscience.iop.org/1538-3881/143/5/107. Retrieved 2013-08-05. 
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