Variable Stars    

Stars are objects that show us generally a stability that defyes millenniums: the stars brightness generally isn’t modified than description ours ancestors, but today we know that many stars show really in time brightness variations, that can be regular or not regular and more or less garish. We call these stars variable and their study is very important for comprenshion of stars evolution. Their history began in 1596 when Fabricius obsereved in Cetus constellation a star that he never didn’t see before.

Variability of stars before use of telescopes wasn’t consider a normal event like today: certainly it was more difficuilt to observe and the prejudice about skies immutability continued to omit the phenomenons that weren’t impossible to ignore. For example the apparition of nova in Scorpion constellation (for Plinio’s opinion it introduced Ipparco of Nicea to compilate  his stars catalogue). Or the supernova in 1054,  in which the Crab Nebula that we can admire in Taurus constellation that was observed and registered by oriental astronomers and by Navajo Indians, while European news didn’t speak about [1][3]. In 1572 Tycho observed a new star in Cassiopea constellation and Kepler registered a nova in Ofiuco in 1604. Giovan Battista Hodierna observes, towards middle of that same century the variable P Cygni (that it was already discovered, during an observation by Blaeuw in August 1600), and registers Algol 2 magnitude and sometimes 3 magnitude.

The scientific research about variability, however had a great success only in recent times, although  a study so deep before use of photography were impossible. Different types of variable stars exist, of which there is a short description.

Eclipse variables

 

They are out and out variable, in so far the variation theirs brightness isn’t intrinsic, but it’s due to the periodical passage of star that goes ahead of another star along our direction of observation. If in a double star the inclination of orbital plane is 90 degrees, if the same plane is inclined in the space to coincide with  direction of observation, the two components disappear mutually during a period and the light that we see varies periodically in time. Three types of eclipse variables exist (but is more correct to call them binary) :

·       Stars type Algol (name of star prototipe Algol, Persei) : both members have a spherical shape and the periods is comprised in a  broad time interval, generally from 2 to 3 days or from 5 to 8. You distinguish a main minimum and a secondary minimum very small (undetectable). Star remains for almost all its time in its brightness.

·       Stars type Lyrae, in which the two components are so near to approach an elissoidal shape (due to proddings of tides) and they can be in contact; the two stars have different dimensions. The period is greater than a day: continued brightness variations with periodicity of minimums that are very deep and not much deep.

·        Stars type W Ursae Majoris, the which components have an elissoidal shape, but with equal dimensions (midget dimensions) and they’re almost in contact. Period that is lower than a day.

Around the 90% of Eclipse, variables has periods lower than 10 days, even though there are stars with periods very long (for example the 9883 days of Aurigae);  some stars have lower periods to 0,2 days: the SX Phoenicis (79 minutes) is the lowest period.

Intrinsic variables

·    Cefeidi long period : the prototype of this class is the Cephei star. They are yellow supergiant stars with periods that are included between 1 and 70 days. The width of variations included between 0,1 and 2 magnitudes; the superficial temperature of star raises until 1000 k, this changes the colour of star too, that in minimum aims toward yellow or orange, while at most aims toward white. The ray suffers variations (pulsations) between 4% and the 20%. They divided themselves in classic Cefeidi or W Virgin:

·    the classic Cefeidi : They are stars of Popolazione I (population I) supergiants of spectral type F,G or K evolved, in fact they run out their reserve of hydrogen and helium. The ascent at most is faster than following decline and the light curves are symmetrical.

·    Star W Virgins o Cefeidi : They are stars of Popolazione II11 (Population II11), they have lower mass and are 2 magnitudes lower than classical Cefeidi of equal period, of which they’re less regular.

·   Stars type RR Lyrae : They are variables pulsating with period lower 1,5 days. Because you can find them in globular cluster, they’re called “variables of cluster”. Their absolute magnitude is lower to magnitude of Cefeidi and the connection between their period and their brightness is linear. They aren’t only in the globular cluster and the same RR Lyrae isn’t in a heap. The spectrums are type A or F; they are old stars with lower mass than sun, but the ray is 4 or 5 times greater, and have out and out the same brightness. They’re separated in different subtypes (RRa, RRb,RRc) on the grounds of different intervals of magnitudes and periods.

·   dwarfs Cefeidi : they were confused with RR Lyrae; prototype of this class is the AI Velorum; they have types from A to F and absolute magnitude that are comprised between +1 and +5 with periods between 0,22 and 0,25 days.

·  Stars type Scuti : they have short periods (at most an hour); they have a behaviour that is similar to dwarfs Cefeidi, with which were confused  with RR Lyrae, but they have low widths, that are often lower to 1/10 magnitude; they are young stars (from A and to F types) and many of them are spectroscopic binary. The sub-dwarfs that have the same features are called stars SX Phoenics.

·   Stars type Canis Majoris o Cephei : giants or subgiants spectral type between B0 and B3 with period comprised between 3 and 6 hours; the width of variations varies from 0,1 to 0,3 magnitudes; they’re evolved stars that run out their hydrogen reserve in the nucleus.

·   Stars type Mira : their name is also variables long period, their prototype is Mira Ceti ( Ceti), it’s the brightest star of this class and is the first variable that was discovered. This type of stars are giants that belong to spectral types M, S, N, and R1 with period comprised between 80 and 1000 days, with width of variations between 2,5 and 6 magnitude; the middle absolute magnitudes are comprised between +2 and -2 and the variations can be very big, for example: Cygni varies 11 magnitudes. The spectrums have emission lines, many of these stars can be binary systems.

·   half –regular Variables : these types are giants and supergiants, spectral type advanced with not-regular period, (sometimes they are so unspecified to be unricognizable). Antares and Betelgeuse belong to this group. The widths are lower than Mira Type, the periods are comprised between about 30 and about 1000 days. There are different subdivision in subtypes (SRa, SRb, SRc, SRd), for the spectral type and the regularity of period.

·   Stars type RV Tauri : they’re supergiant stars with high brightness, spectral type F, G, or K, M is rarely; periods between 50 and 150 days, width 3 magnitudes; they alternate deep minimum and low deep minimum. They are divided in subtypes on the strength of the great or low regularity.

·   Stars type 2 Canum Venaticorum: variations in intensity of determinate spectral lines and of  magnetic field, small variations in pulsations and in radial velocity.

·   irregular Variables: giants and supergiants with light curves completely irregular. The widths are lower to 2 magnitudes, on average 0,5 magnitudes.

·   Stars type  Cygni : pulsating supergiants type A or B, with short periods and widths lower to 0,1 magnitudes.

·   Stars type ZZ Ceti : white pulsating dwarfs, with periods that can be short to be 30 seconds (the longest periods aren’t longer of 30 minutes) and widths lower to 0,2 magnitudes. Sometimes you can observe flares due to interactions with a companion very near to them.

Reactive Stars

·     Novae (new stars): in the antiquity era this type of stars were already observed: for Plinio’s opinion a nova star apparition motivated Ipparco in II century B.C. to finish his catalogue. But only during XX century man understood that this type of star wasn’t new but pre-existing stars in which the raised brightness made impossible go back to star before the explosion (Praenova). Today it’s possible thanks to photography. The praenovae are dwarf stars with high temperature with Mv generally +4,5; the brightness during a day raises until 9,5 magnitudes and other 2 or more until a total rise that can reach the 13 magnitudes: so the star gets to 150000 times brighter than initial phase. The phase of passage to exnova stage can goes on months or years and magnitude comes down up to +3. The study of spectrums of novae show a gassy wrapper in expansion. You know 4 different types of novae divided on the strength of their characteristic light curve. The brightness rise can show itself in different  ways: in few hours like V1500 Cyg (1975), that reaches an absolute magnitude (-10) and apparently magnitude (-1,8) but in a week it decreases under the visibility; and it can decline slowly like HR Delphini (1967). The novae stars are binary systems composed by a red star low density and by a white dwarf. The white dwarf extracts some material from red star and this material produces a disc optimisation around white dwarf. Endly in the atmosphere of white dwarf there is a nuclear production, with a gas expulsion high speed; at the end of explosion the system returns to its inner state. Some stars like T Coronae Borealis had more of an explosion and they are called frequent novae.

·     Dwarf Novae : they are called U Geminorum or SS Cygni. After a balance period they show in few days a raise of brightness between 2 and 6 magnitudes, while the return to normality you get in 10-15 days. There isn’t any periodicity in variations of magnitude: the gap between a raise and the subsequent lasts between 10 days and some years. In this case stars are a red dwarf and a white dwarf too, the cause of variation is the same of real novae but on lowered scale. They are called Cataclysmic Variable too.

·     Stars type SU Ursae Majoris: they are similar to dwarf novae, have ordinary maximum and “supermaximum” greater size.

·     Stars type Z Camelopardalis: similar to early stars, but sometimes the brightness has a intermediary level between minimum and maximum for periods that have unpredictable duration.

·     Novoidi Variables: they are different stars, but their explosions are fairly similar to real novae. The main types are:

·     Stars type Cassiopeiae: spectral type B; with a speed rotation, they have in the spectrums emission parts, they lose mass in equatorial region, their evolution bring them to exit out of the main sequence. They have small variation size, lower to 2 magnitudes.

·     Stars type Z Andromedae: they are called also stars simbiotiche; they are binary very narrow and often inner a common nebula. One of two factors is a red cold star, while the other star is so warm; the variations are caused by pulsations of red star and at the same time by interactions between two stars.

·     Stars type RR Telescopii: they show slow raise of brightness, that it can consist in a transition towards state of planetary nebula.

·     Stars type S Doradus : absolute magnitudes -10, spectrums from B to F, widths of variations between 1 and 3 magnitudes that can be cyclic or irregular. In fact in the last years you decided that 30 Doradus isn’t a star; however you can refer an object to this class like P Cygni.

·     Supernovae : about this distinguishing class of variables, we speak about apart (see M1 in Taurus constellation).

·     Stars type R Coronae Borealis: big stars, that for a long time they keep steady brightness, that sometimes it decreases of many magnitudes, returning then to original worth. We didn’t manage to highlight a periodicity in the phenomenon. They are poor of hydrogen, but rich of carbon, they belong to spectral types F, G, K or R. The wideness of almost 10 magnitudes are big and the weakening is due to “caligine” clouds that accumulate themselves in star atmosphere.

·     Variable stars in the nebula: irregular variations of brightness, with widths of variation between 1 and 4 magnitude. There are different types:

·     Stars type T Orionis: spectrums from B to K, small mass and irregular variations;

·     Stars type RW Aurigae: similar, but they’re not associated to nebulas, widths from 0,5  to 1 magnitude and periods from some hours to some days;

·     Stars type T Tauri: variables extremely young, but they aren’t in the main sequence (protostars), irregular variations that have a small width;

·     Stars type FU Orionis: spectrums between A and F, that can raise the brightness of many magnitudes in few months and preserve themselves for some decades; during the maximum they have lines in emissions.

·     Stars type UV Ceti: red dwarfs that show sudden raise of brightness that goes on few minutes or at most few hours and that return quickly to normal polishing. The increase of polishing is included between 1 and 6 magnitudes. They are divided in flare stars and flash stars. These last stars are bonded to clouds composed by interstellar material and they were observed in the associations T Tauri. A well-known flare star is Proxima Centauri, the nearest star to sun.

 

[1]about out and out variables there aren’t the eclipse variables, that are variables only apparently, in so far their variability isn’t intrinsic, but it depends simply by a referential screen action that a member of a double star makes than an other members. The real physical intrinsic variability of a star depends instead from the fact that the flux of energy issued by a star isn’t steady in time, so star appears more or less bright depending on moment in which it is observed and not because an other body passes in front of it.

(Mira) Cet, in Whale constellation.

M 1 (Crab Nebula) in Taurus constellation.

During the observations of cefeidi in small Magellan cloud, Henrietta Leavitt discovered a correlation between the period and the apparently middle observed magnitude and because in Magellan Cloud there are all stars at the same distance from earth, a correlation exist between period and absolute brightness. The relation about period-brightness was calibrated on  nearest cefeidi, to can issue the absolute magnitude, a difficult work because there aren’t cefeidi enough near to measure the trigonometric parallax. We know as well, that the relation about period-brightness related to classic cefeidi is different than the relation related to the stars type W Virginis . The utility of the relation is that for every cefeide is important to know the period (easy to determine) to know the absolute magnitude and so, on the strength of the apparently magnitude the distance too. The way is employed for the measure of distance of other stellar systems, in which, cefeidi must exist.

 Today the spectral types S, R and N are all in C type.

 SRa: not regular giants of spectral types that are proceed (M, C, S or Me, Ce, Se) that show a persistent periodicity and usually small widths of variation (<2,5 magnitude in V). Widths and shapes of light curve usually stand changes and the periods vary between 35 and 1200 days. Many of these stars differ from variables type Mira only because they show small variations of brightness.

SRb: not regular giants spectral types that are proceed (like over) with periodicity that is scantily defined (medium cycles between 20 and 2300 days) or with a switch of periodical variations, slow irregular variations and breaks of constant brightness too. (RR CrB, AF Cyg). You can assign to every star of this type a medium cycle. Sometimes two or more coincident periods of variation of brightness are observed.

SRc: not regular supergiants of spectral types that are proceed ( Cep) with width of 1 magntude and periods between 30 and many thousands days.

SRd: not regular supergiants and giants of spectral types F, G, and K, sometimes with emission lines in their spectrums. The widths of variation of brightness vary between 0,1 and 4 magnitudes and the periods from 30 to 1100 days (SX Her, SV UMa).

 

 

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