ALCOR ( ALGOL Converter , acronym) is an early computer language definition created by the ALCOR Group , a consortium of universities, research institutions and manufacturers in Europe and the United States which was founded in 1959 and which had 60 members in 1966. The group had the aim of a common compiler specification for a subset of ALGOL 60 after the ALGOL meeting in Copenhagen in 1958.
76-396: In addition to its programming application, as the name Algol is also an astronomical reference, to the star Algol , so too, Alcor is a reference to the star Alcor . This star is the fainter companion of the 2nd magnitude star Zeta Ursae Majoris . This was sometimes ironized as being a bad omen for the future of the language. In Europe, a high level machine architecture for ALGOL 60
152-406: A main-sequence star goes through an activity cycle, the outer layers of the star are subject to a magnetic torque changing the distribution of angular momentum, resulting in a change in the star's oblateness. The orbit of the stars in the binary pair is gravitationally coupled to their shape changes, so that the period shows modulations (typically on the order of ∆P/P ~ 10 ) on the same time scale as
228-493: A main-sequence star increases in size during its evolution , it may at some point exceed its Roche lobe , meaning that some of its matter ventures into a region where the gravitational pull of its companion star is larger than its own. The result is that matter will transfer from one star to another through a process known as Roche lobe overflow (RLOF), either being absorbed by direct impact or through an accretion disc . The mathematical point through which this transfer happens
304-747: A or i can be determined by other means, as in the case of eclipsing binaries, a complete solution for the orbit can be found. Binary stars that are both visual and spectroscopic binaries are rare and are a valuable source of information when found. About 40 are known. Visual binary stars often have large true separations, with periods measured in decades to centuries; consequently, they usually have orbital speeds too small to be measured spectroscopically. Conversely, spectroscopic binary stars move fast in their orbits because they are close together, usually too close to be detected as visual binaries. Binaries that are found to be both visual and spectroscopic thus must be relatively close to Earth. An eclipsing binary star
380-451: A supernova that destroys the entire star, another possible cause for runaways. An example of such an event is the supernova SN 1572 , which was observed by Tycho Brahe . The Hubble Space Telescope recently took a picture of the remnants of this event. Binaries provide the best method for astronomers to determine the mass of a distant star. The gravitational pull between them causes them to orbit around their common center of mass. From
456-406: A white dwarf has a close companion star that overflows its Roche lobe , the white dwarf will steadily accrete gases from the star's outer atmosphere. These are compacted on the white dwarf's surface by its intense gravity, compressed and heated to very high temperatures as additional material is drawn in. The white dwarf consists of degenerate matter and so is largely unresponsive to heat, while
532-604: A binary star happens to orbit in a plane along our line of sight, its components will eclipse and transit each other; these pairs are called eclipsing binaries , or, together with other binaries that change brightness as they orbit, photometric binaries . If components in binary star systems are close enough, they can gravitationally distort each other's 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 (Cygnus X-1 being
608-607: A binary star was computed in 1827, when Félix Savary computed the orbit of Xi Ursae Majoris . Over the years, many more double stars have been catalogued and measured. As of June 2017, the Washington Double Star Catalog , a database of visual double stars compiled by the United States Naval Observatory , contains over 100,000 pairs of double stars, including optical doubles as well as binary stars. Orbits are known for only
684-442: A deviation in a star's position caused by an unseen companion. Any binary star can belong to several of these classes; for example, several spectroscopic binaries are also eclipsing binaries. A visual binary star is a binary star for which the angular separation between the two components is great enough to permit them to be observed as a double star in a telescope , or even high-powered binoculars . The angular resolution of
760-481: A few thousand of these double stars. The term binary was first used in this context by Sir William Herschel in 1802, when he wrote: If, on the contrary, two stars should really be situated very near each other, and at the same time so far insulated as not to be materially affected by the attractions of neighbouring stars, they will then compose a separate system, and remain united by the bond of their own mutual gravitation towards each other. This should be called
836-454: A gas flow can actually be seen. It is also possible for widely separated binaries to lose gravitational contact with each other during their lifetime, as a result of external perturbations. The components will then move on to evolve as single stars. A close encounter between two binary systems can also result in the gravitational disruption of both systems, with some of the stars being ejected at high velocities, leading to runaway stars . If
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#1732801329789912-617: A near star paired with a distant star so he could measure the near star's changing position as the Earth orbited the Sun (measure its parallax ), allowing him to calculate the distance to the near star. He would soon publish catalogs of about 700 double stars. By 1803, he had observed changes in the relative positions in a number of double stars over the course of 25 years, and concluded that, instead of showing parallax changes, they seemed to be orbiting each other in binary systems. The first orbit of
988-400: A real double star; and any two stars that are thus mutually connected, form the binary sidereal system which we are now to consider. By the modern definition, the term binary star is generally restricted to pairs of stars which revolve around a common center of mass. Binary stars which can be resolved with a telescope or interferometric methods are known as visual binaries . For most of
1064-552: A separate, though connected, constellation. Earlier the name of the constellation Perseus was Perseus and Medusa's Head where an asterism representing the head of Medusa after Perseus has cut it off already known in ancient Rome. Medusa is a gorgon so the star is also called Gorgonea Prima meaning the first star of the gorgon. In Chinese , 大陵 ( Dà Líng ), meaning Mausoleum , refers to an asterism consisting of β Persei, 9 Persei , τ Persei , ι Persei , κ Persei , ρ Persei , 16 Persei and 12 Persei . Consequently,
1140-653: A table of the first two batches of names approved by the WGSN; which included Algol for this star. It is so entered on the IAU Catalog of Star Names. Algol was called Rōsh ha Sāṭān or "Satan's Head" in Hebrew folklore, as stated by Edmund Chilmead , who called it "Divels head" or Rosch hassatan . A Latin name for Algol from the 16th century was Caput Larvae or "the Spectre's Head". Hipparchus and Pliny made this
1216-416: A visual binary, even with telescopes of the highest existing resolving power . In some spectroscopic binaries, spectral lines from both stars are visible, and the lines are alternately double and single. Such a system is known as a double-lined spectroscopic binary (often denoted "SB2"). In other systems, the spectrum of only one of the stars is seen, and the lines in the spectrum shift periodically towards
1292-604: A well-known 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 . Double stars , a pair of stars that appear close to each other, have been observed since the invention of the telescope . Early examples include Mizar and Acrux . Mizar, in the Big Dipper ( Ursa Major ), was observed to be double by Giovanni Battista Riccioli in 1650 (and probably earlier by Benedetto Castelli and Galileo ). The bright southern star Acrux , in
1368-586: A wide variety of cultures. In the Tetrabiblos , the 2nd-century astrological text of the Alexandrian astronomer Ptolemy , Algol is referred to as "the Gorgon of Perseus " and associated with death by decapitation: a theme which mirrors the myth of the hero Perseus 's victory over the snake-haired Gorgon Medusa . In the astrology of fixed stars , Algol is considered one of the unluckiest stars in
1444-460: A young, early-type , high-mass donor star which transfers mass by its stellar wind , while low-mass X-ray binaries are semidetached binaries in which gas from a late-type donor star or a white dwarf overflows the Roche lobe and falls towards the neutron star or black hole. Probably the best known example of an X-ray binary is the high-mass X-ray binary Cygnus X-1 . In Cygnus X-1, the mass of
1520-487: Is a sine curve. If the orbit is elliptical , the shape of the curve depends on the eccentricity of the ellipse and the orientation of the major axis with reference to the line of sight. It is impossible to determine individually the semi-major axis a and the inclination of the orbit plane i . However, the product of the semi-major axis and the sine of the inclination (i.e. a sin i ) may be determined directly in linear units (e.g. kilometres). If either
1596-492: Is a binary star system in which the orbital plane of the two stars lies so nearly in the line of sight of the observer that the components undergo mutual eclipses . In the case where the binary is also a spectroscopic binary and the parallax of the system is known, the binary is quite valuable for stellar analysis. Algol , a triple star system in the constellation Perseus , contains the best-known example of an eclipsing binary. Eclipsing binaries are variable stars, not because
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#17328013297891672-493: Is also used to locate extrasolar planets orbiting a star. However, the requirements to perform this measurement are very exacting, due to the great difference in the mass ratio, and the typically long period of the planet's orbit. Detection of position shifts of a star is a very exacting science, and it is difficult to achieve the necessary precision. Space telescopes can avoid the blurring effect of Earth's atmosphere , resulting in more precise resolution. Another classification
1748-471: Is based on the distance between the stars, relative to their sizes: Detached binaries are binary stars where each component is within its Roche lobe , i.e. the area where the gravitational pull of the star itself is larger than that of the other component. While on the main sequence the stars have no major effect on each other, and essentially evolve separately. Most binaries belong to this class. Semidetached binary stars are binary stars where one of
1824-444: Is called the first Lagrangian point . It is not uncommon that the accretion disc is the brightest (and thus sometimes the only visible) element of a binary star. If a star grows outside of its Roche lobe too fast for all abundant matter to be transferred to the other component, it is also possible that matter will leave the system through other Lagrange points or as stellar wind , thus being effectively lost to both components. Since
1900-409: Is designated RHD 1 . These discoverer codes can be found in the Washington Double Star Catalog . The secondary star in a binary star system may be designated as the hot companion or cool companion , depending on its temperature relative to the primary star. Examples: While it is not impossible that some binaries might be created through gravitational capture between two single stars, given
1976-585: Is said to be the oldest historical documentation of the discovery of Algol. The association of Algol with a demon-like creature ( Gorgon in the Greek tradition, ghoul in the Arabic tradition) suggests that its variability was known long before the 17th century, but there is still no indisputable evidence for this. The Arabic astronomer al-Sufi said nothing about any variability of the star in his Book of Fixed Stars published c.964. The variability of Algol
2052-418: Is the primary star, and the dimmer is considered the secondary. In some publications (especially older ones), a faint secondary is called the comes (plural comites ; companion). If the stars are the same brightness, the discoverer designation for the primary is customarily accepted. The position angle of the secondary with respect to the primary is measured, together with the angular distance between
2128-449: Is usually near-constant at 2.1, but regularly dips to 3.4 every 2.86 days during the roughly 10-hour-long partial eclipses. The secondary eclipse when the brighter primary star occults the fainter secondary is very shallow and can only be detected photoelectrically. Algol gives its name to its class of eclipsing variable, known as Algol variables . An ancient Egyptian calendar of lucky and unlucky days composed some 3,200 years ago
2204-460: The line of sight to the Earth. The eclipsing binary pair is separated by only 0.062 astronomical units (au) from each other, whereas the third star in the system (Algol Ab) is at an average distance of 2.69 au from the pair, and the mutual orbital period of the trio is 681 Earth days. The total mass of the system is about 5.8 solar masses, and the mass ratios of Aa1, Aa2, and Ab are about 4.5 to 1 to 2. The three components of
2280-537: The Chinese name for β Persei itself is 大陵五 ( Dà Líng wu , English: The Fifth Star of Mausoleum.). According to R.H. Allen the star bore the grim name of Tseih She 積屍 ( Zhi Shī ), meaning "Piled up Corpses" but this appears to be a misidentification, and Dié Shī is correctly π Persei , which is inside the Mausoleum. Historically, the star has received a strong association with bloody violence across
2356-486: The Demon Star , is a bright multiple star in the constellation of Perseus and one of the first non- nova variable stars to be discovered. Algol is a three-star system , consisting of Beta Persei Aa1, Aa2, and Ab – in which the hot luminous primary β Persei Aa1 and the larger, but cooler and fainter, β Persei Aa2 regularly pass in front of each other, causing eclipses. Thus Algol's magnitude
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2432-525: The LMC , SMC , Andromeda Galaxy , and Triangulum Galaxy . Eclipsing binaries offer a direct method to gauge the distance to galaxies to an improved 5% level of accuracy. Nearby non-eclipsing binaries can also be photometrically detected by observing how the stars affect each other in three ways. The first is by observing extra light which the stars reflect from their companion. Second is by observing ellipsoidal light variations which are caused by deformation of
2508-472: The Pleiades cluster, and calculated that the likelihood of finding such a close grouping of stars was about one in half a million. He concluded that the stars in these double or multiple star systems might be drawn to one another by gravitational pull, thus providing the first evidence for the existence of binary stars and star clusters. William Herschel began observing double stars in 1779, hoping to find
2584-632: The Solar System and its apparent magnitude was about −2.5, which is considerably brighter than the star Sirius is today. Because the total mass of the Algol system is about 5.8 solar masses, at the closest approach this might have given enough gravity to perturb the Oort cloud of the Solar System somewhat and hence increase the number of comets entering the inner Solar System. However,
2660-556: The Southern Cross , was discovered to be double by Father Fontenay in 1685. Evidence that stars in pairs were more than just optical alignments came in 1767 when English natural philosopher and clergyman John Michell became the first person to apply the mathematics of statistics to the study of the stars, demonstrating in a paper that many more stars occur in pairs or groups than a perfectly random distribution and chance alignment could account for. He focused his investigation on
2736-401: The mass of the missing companion. The companion could be very dim, so that it is currently undetectable or masked by the glare of its primary, or it could be an object that emits little or no electromagnetic radiation , for example a neutron star . The visible star's position is carefully measured and detected to vary, due to the gravitational influence from its counterpart. The position of
2812-419: The molecular cloud during the formation of protostars is an acceptable explanation for the formation of a binary or multiple star system. The outcome of the three-body problem , in which the three stars are of comparable mass, is that eventually one of the three stars will be ejected from the system and, assuming no significant further perturbations, the remaining two will form a stable binary system. As
2888-532: The accreted hydrogen is not. Hydrogen fusion can occur in a stable manner on the surface through the CNO cycle , causing the enormous amount of energy liberated by this process to blow the remaining gases away from the white dwarf's surface. The result is an extremely bright outburst of light, known as a nova . In extreme cases this event can cause the white dwarf to exceed the Chandrasekhar limit and trigger
2964-465: The activity cycles (typically on the order of decades). Another phenomenon observed in some Algol binaries has been monotonic period increases. This is quite distinct from the far more common observations of alternating period increases and decreases explained by the Applegate mechanism. Monotonic period increases have been attributed to mass transfer, usually (but not always) from the less massive to
3040-496: The actual elliptical orbit of the secondary with respect to the primary on the plane of the sky. From this projected ellipse the complete elements of the orbit may be computed, where the semi-major axis can only be expressed in angular units unless the stellar parallax , and hence the distance, of the system is known. Sometimes, the only evidence of a binary star comes from the Doppler effect on its emitted light. In these cases,
3116-613: The actual increase in net cometary collisions is thought to have been quite small. Beta Persei is the star's Bayer designation . The name Algol derives from Arabic رأس الغول raʾs al-ghūl : head ( raʾs ) of the ogre ( al-ghūl ) (see " ghoul "). The English name Demon Star was taken from the Arabic name. In 2016, the International Astronomical Union organized a Working Group on Star Names (WGSN) to catalog and standardize proper names for stars. The WGSN's first bulletin of July 2016 included
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3192-422: The binary consists of a pair of stars where the spectral lines in the light emitted from each star shifts first towards the blue, then towards the red, as each moves first towards us, and then away from us, during its motion about their common center of mass , with the period of their common orbit. In these systems, the separation between the stars is usually very small, and the orbital velocity very high. Unless
3268-425: The binary fill their Roche lobes . The uppermost part of the stellar atmospheres forms a common envelope that surrounds both stars. As the friction of the envelope brakes the orbital motion , the stars may eventually merge . W Ursae Majoris is an example. When a binary system contains a compact object such as a white dwarf , neutron star or black hole , gas from the other (donor) star can accrete onto
3344-420: The binary star has a Bayer designation and is widely separated, it is possible that the members of the pair will be designated with superscripts; an example is Zeta Reticuli , whose components are ζ Reticuli and ζ Reticuli. Double stars are also designated by an abbreviation giving the discoverer together with an index number. α Centauri, for example, was found to be double by Father Richaud in 1689, and so
3420-406: The blue, then towards red and back again. Such stars are known as single-lined spectroscopic binaries ("SB1"). The orbit of a spectroscopic binary is determined by making a long series of observations of the radial velocity of one or both components of the system. The observations are plotted against time, and from the resulting curve a period is determined. If the orbit is circular , then the curve
3496-408: The bright triple star used to be, and still sometimes are, referred to as β Per A, B, and C. The Washington Double Star Catalog lists them as Aa1, Aa2, and Ab, with two very faint stars B and C about one arcmin distant. A further five faint stars are also listed as companions. The close pair consists of a B8 main sequence star and a much less massive K0 subgiant , which is highly distorted by
3572-447: The compact object. This releases gravitational potential energy , causing the gas to become hotter and emit radiation. Cataclysmic variable stars , where the compact object is a white dwarf, are examples of such systems. In X-ray binaries , the compact object can be either a neutron star or a black hole . These binaries are classified as low-mass or high-mass according to the mass of the donor star. High-mass X-ray binaries contain
3648-502: The components fills the binary star's Roche lobe and the other does not. In this interacting binary star , gas from the surface of the Roche-lobe-filling component (donor) is transferred to the other, accreting star. The mass transfer dominates the evolution of the system. In many cases, the inflowing gas forms an accretion disc around the accretor. A contact binary is a type of binary star in which both components of
3724-458: The evolution of a star is determined by its mass, the process influences the evolution of both companions, and creates stages that cannot be attained by single stars. Studies of the eclipsing ternary Algol led to the Algol paradox in the theory of stellar evolution : although components of a binary star form at the same time, and massive stars evolve much faster than the less massive ones, it
3800-449: The hotter star causes the primary eclipse. An eclipsing binary's period of orbit may be determined from a study of its light curve , and the relative sizes of the individual stars can be determined in terms of the radius of the orbit, by observing how quickly the brightness changes as the disc of the nearest star slides over the disc of the other star. If it is also a spectroscopic binary, the orbital elements can also be determined, and
3876-442: The known visual binary stars one whole revolution has not been observed yet; rather, they are observed to have travelled along a curved path or a partial arc. The more general term double star is used for pairs of stars which are seen to be close together in the sky. This distinction is rarely made in languages other than English. Double stars may be binary systems or may be merely two stars that appear to be close together in
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#17328013297893952-426: The light of the individual components vary but because of the eclipses. The light curve of an eclipsing binary is characterized by periods of practically constant light, with periodic drops in intensity when one star passes in front of the other. The brightness may drop twice during the orbit, once when the secondary passes in front of the primary and once when the primary passes in front of the secondary. The deeper of
4028-532: The magnetic fields of these stars are up to ten times stronger than the field of the Sun , these radio flares are more powerful and more persistent. The secondary component was identified as the radio emitting source in Algol using Very-long-baseline interferometry by Lestrade and co-authors. Magnetic activity cycles in the chromospherically active secondary component induce changes in its radius of gyration that have been linked to recurrent orbital period variations on
4104-507: The mass of the stars can be determined relatively easily, which means that the relative densities of the stars can be determined in this case. Since about 1995, measurement of extragalactic eclipsing binaries' fundamental parameters has become possible with 8-meter class telescopes. This makes it feasible to use them to directly measure the distances to external galaxies, a process that is more accurate than using standard candles . By 2006, they had been used to give direct distance estimates to
4180-436: The more massive star The components of binary stars are denoted by the suffixes A and B appended to the system's designation, A denoting the primary and B the secondary. The suffix AB may be used to denote the pair (for example, the binary star α Centauri AB consists of the stars α Centauri A and α Centauri B.) Additional letters, such as C , D , etc., may be used for systems with more than two stars. In cases where
4256-469: The more massive star. These two orbit every 2.9 days and undergo the eclipses that cause Algol to vary in brightness. The third star orbits these two every 680 days and is an A or F-type main sequence star. It has been classified as an Am star , but this is now considered doubtful. Studies of Algol led to the Algol paradox in the theory of stellar evolution : although components of a binary star form at
4332-501: The order of ΔP / P ≈ 10 via the Applegate mechanism . Mass transfer between the components is small in the Algol system but could be a significant source of period change in other Algol-type binaries . The distance to Algol has been measured using very-long baseline interferometry , giving a value of 94 light-years . About 7.3 million years ago it passed within 9.8 light-years of
4408-512: The other star, which is still in the main sequence. In some binaries similar to Algol, a gas flow can be seen. The gas flow between the primary and secondary stars in Algol has been imaged using Doppler Tomography . This system also exhibits x-ray and radio wave flares. The x-ray flares are thought to be caused by the magnetic fields of the A and B components interacting with the mass transfer. The radio-wave flares might be created by magnetic cycles similar to those of sunspots , but because
4484-442: The plane of the orbit happens to be perpendicular to the line of sight, the orbital velocities have components in the line of sight, and the observed radial velocity of the system varies periodically. Since radial velocity can be measured with a spectrometer by observing the Doppler shift of the stars' spectral lines , the binaries detected in this manner are known as spectroscopic binaries . Most of these cannot be resolved as
4560-403: The same time, and massive stars evolve much faster than the less massive stars, the more massive component Algol Aa1 is still in the main sequence , but the less massive Algol Aa2 is a subgiant star at a later evolutionary stage. The paradox can be solved by mass transfer : when the more massive star became a subgiant, it filled its Roche lobe , and most of the mass was transferred to
4636-407: The sky but have vastly different true distances from the Sun. The latter are termed optical doubles or optical pairs . Binary stars are classified into four types according to the way in which they are observed: visually, by observation; spectroscopically , by periodic changes in spectral lines ; photometrically , by changes in brightness caused by an eclipse; or astrometrically , by measuring
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#17328013297894712-708: The sky, and was listed as one of the 15 Behenian stars . Eclipsing binary A binary star or binary star system is a system of two stars that are gravitationally bound to and in orbit around each other. Binary stars in the night sky that are seen as a single object to the naked eye are often resolved as separate stars using a telescope , in which case they are called visual binaries . Many visual binaries have long orbital periods of several centuries or millennia and therefore have orbits which are uncertain or poorly known. They may also be detected by indirect techniques, such as spectroscopy ( spectroscopic binaries ) or astrometry ( astrometric binaries ). If
4788-461: The spectrum of Algol, inferring variations in the radial velocity of this binary system. Thus, Algol became one of the first known spectroscopic binaries . Joel Stebbins at the University of Illinois Observatory used an early selenium cell photometer to produce the first-ever photoelectric study of a variable star. The light curve revealed the second minimum and the reflection effect between
4864-635: The star (or else that the star itself has a darker region that is periodically turned toward the Earth). For his report he was awarded the Copley Medal . In 1881, the Harvard astronomer Edward Charles Pickering presented evidence that Algol was actually an eclipsing binary. This was confirmed a few years later, in 1889, when the Potsdam astronomer Hermann Carl Vogel found periodic doppler shifts in
4940-451: The star is repeatedly measured relative to more distant stars, and then checked for periodic shifts in position. Typically this type of measurement can only be performed on nearby stars, such as those within 10 parsecs . Nearby stars often have a relatively high proper motion , so astrometric binaries will appear to follow a wobbly path across the sky. If the companion is sufficiently massive to cause an observable shift in position of
5016-502: The star's shape by their companions. The third method is by looking at how relativistic beaming affects the apparent magnitude of the stars. Detecting binaries with these methods requires accurate photometry . Astronomers have discovered some stars that seemingly orbit around an empty space. Astrometric binaries are relatively nearby stars which can be seen to wobble around a point in space, with no visible companion. The same mathematics used for ordinary binaries can be applied to infer
5092-425: The star, then its presence can be deduced. From precise astrometric measurements of the movement of the visible star over a sufficiently long period of time, information about the mass of the companion and its orbital period can be determined. Even though the companion is not visible, the characteristics of the system can be determined from the observations using Kepler 's laws . This method of detecting binaries
5168-412: The telescope is an important factor in the detection of visual binaries, and as better angular resolutions are applied to binary star observations, an increasing number of visual binaries will be detected. The relative brightness of the two stars is also an important factor, as glare from a bright star may make it difficult to detect the presence of a fainter component. The brighter star of a visual binary
5244-403: The two eclipses is called the primary regardless of which star is being occulted, and if a shallow second eclipse also occurs it is called the secondary eclipse. The size of the brightness drops depends on the relative brightness of the two stars, the proportion of the occulted star that is hidden, and the surface brightness (i.e. effective temperature ) of the stars. Typically the occultation of
5320-445: The two stars. Some difficulties in explaining the observed spectroscopic features led to the conjecture that a third star may be present in the system; four decades later this conjecture was found to be correct. Algol is a multiple-star system with three confirmed and two suspected stellar components. From the point of view of the Earth, Algol Aa1 and Algol Aa2 form an eclipsing binary because their orbital plane contains
5396-456: The two stars. The time of observation is also recorded. After a sufficient number of observations are recorded over a period of time, they are plotted in polar coordinates with the primary star at the origin, and the most probable ellipse is drawn through these points such that the Keplerian law of areas is satisfied. This ellipse is known as the apparent ellipse , and is the projection of
5472-663: The unseen companion is estimated to be about nine times that of the Sun, far exceeding the Tolman–Oppenheimer–Volkoff limit for the maximum theoretical mass of a neutron star. It is therefore believed to be a black hole; it was the first object for which this was widely believed. Orbital periods can be less than an hour (for AM CVn stars ), or a few days (components of Beta Lyrae ), but also hundreds of thousands of years ( Proxima Centauri around Alpha Centauri AB). The Applegate mechanism explains long term orbital period variations seen in certain eclipsing binaries. As
5548-428: The very low likelihood of such an event (three objects being actually required, as conservation of energy rules out a single gravitating body capturing another) and the high number of binaries currently in existence, this cannot be the primary formation process. The observation of binaries consisting of stars not yet on the main sequence supports the theory that binaries develop during star formation . Fragmentation of
5624-634: Was devised which was emulated on various real computers, among them the Siemens 2002 and the IBM 7090 . An ALGOL manual was published which provided a detailed introduction of all features of the language with many program snippets, and four appendixes: This programming-language -related article is a stub . You can help Misplaced Pages by expanding it . Algol Algol / ˈ æ l ɡ ɒ l / , designated Beta Persei ( β Persei , abbreviated Beta Per , β Per ), known colloquially as
5700-547: Was noted in 1667 by Italian astronomer Geminiano Montanari , but the periodic nature of its variations in brightness was not recognized until more than a century later, when the British amateur astronomer John Goodricke also proposed a mechanism for the star's variability. In May 1783, he presented his findings to the Royal Society , suggesting that the periodic variability was caused by a dark body passing in front of
5776-411: Was observed that the more massive component Algol A is still in the main sequence , while the less massive Algol B is a subgiant at a later evolutionary stage. The paradox can be solved by mass transfer : when the more massive star became a subgiant, it filled its Roche lobe , and most of the mass was transferred to the other star, which is still in the main sequence. In some binaries similar to Algol,
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