What are Variable Stars? 
              Quite simply, variable stars are stars which vary in brightness over 
          long or short periods of time, with amplitudes of variation from a thousandth 
          of a magnitude to as much as 20 magnitudes. Variable stars may be found 
          to be periodic (with a single period or multiple periods at once) with 
          little or no irregularity in their light curves (plots of brightness 
          vs. time), semi-periodic with some irregularity and periodicity, and 
          irregular with no apparent periodicity in their light curves whatsoever. 
          Depending on the type of variable star being observed (see below), periods 
          can range from a fraction of a second to years. In light of this, one 
          can say that nearly all stars are variable stars to a certain extent 
          since all stars possess constantly changing physical properties and 
          features affecting their brightness either periodically or irregularly. 
        
         Types of Variable Stars 
              Variable stars are classified according to the main cause of their 
          variation in brightness. Most generally, variable stars are classified 
          as either intrinsic or extrinsic. For intrinsic variables, 
          variability is caused by physical changes intrinsic to the star (eg. 
          radial or non-radial vibration or "pulsation"; eruptions in 
          the star), while for extrinsic variables, variability is caused by changes 
          which are external to the star as a whole (eg. the effects of stellar 
          rotation; two stars eclipsing each other in a binary system, causing 
          an apparent dimming in the brightness of the system). 
              Intrinsic variables 
          are classified as either pulsating or eruptive variables. 
          In pulsating variables, variation in brightness is 
          caused by periodic expansion and contraction in the star's surface layers. 
          These pulsations may be radial (in which case the star retains its spherical 
          shape) or non-radial (resulting in periodic deviations from a spherical 
          shape). Pulsating variables themselves can be divided up into different 
          types according to their pulsation period, mass, and evolutionary status: 
        
        Cepheids: These stars have periods of 
          1-70 days with amplitudes of variation from 0.1 to 2.0 magnitudes. Cepheids 
          obey a strict period-luminosity relationship with Cepheids of higher 
          luminosities having longer periods, both depending on the radius. Therefore, 
          by measuring the period of a Cepheid variable, one can obtain its luminosity, 
          and by measuring its apparent brightness one may deduce how far away 
          it is. 
        RR Lyrae stars: These stars have periods 
          of 0.2-1.2 days with amplitudes of variation from 0.3 to 2 magnitudes. 
          These pulsating variables are white giant stars of spectral class A. 
        
        RV Tauri stars: These stars have periods 
          of 30-150 days with amplitudes of variation up to 3.0 magnitudes. They 
          are yellow supergiants generally of spectral classes from G to K. 
        Long Period Variables (Miras): These stars 
          have periods of 80-1000 days with amplitudes of variation from 2.5 to 
          5.0 magnitudes. They are giant red variables with spectral classes ranging 
          through M, C, and S. 
        Semiregular stars: These stars have periods 
          of 30-1000 days with amplitudes of variation from 1.0 to 2.0 magnitudes. 
          They are giants and supergiants displaying periodicity superimposed 
          with intervals of irregular light variation. 
        Small-Amplitude Pulsating Red Giants (SAPRGs): 
          These stars have periods of 5-100 days with amplitudes of variation 
          from 0.05 to 1 magnitude. As their name (also called small-amplitude 
          red variables) suggests, these stars are red giants. Due to their instability, 
          a majority of red giants physically expand and contract (pulsate) periodically 
          as a result of convective processes. Convection in red giants involves 
          the cyclic motion of huge cells of hot gas. This results in periodic 
          changes in luminosity with small amplitudes of variation. The pulsations 
          may be radial or non-radial as mentioned above. These stars may also 
          be multi-periodic. 
             In eruptive variables, 
          variation in brightness is caused by occasional violent eruptions as 
          a result of complex processes deep within the interior of the star or 
          in the surface layers. The most common types of eruptive variables are: 
        
        Supernovae: These stars show sudden, dramatic, 
          and final magnitude increases as a result of a catastrophic stellar 
          explosion. Thus, there is no period, and amplitudes of variation are 
          20+ magnitudes. 
        Novae: These close binary systems consist 
          of a main sequence, Sun-like star and a white dwarf. They increase in 
          brightness by 7 to 16 magnitudes in a matter of one to several hundred 
          days. After the outburst, the star fades slowly to its initial brightness 
          over several years or decades. Near maximum brightness, the spectrum 
          is generally similar to that of an A or F giant star. Periods are typically 
          1-300+ days, and amplitudes of variation are 7-16 magnitudes. 
        Recurrent Novae: These objects are similar 
          to novae, but have two or more slightly smaller-amplitude outbursts 
          during their recorded history. Periods are 1-200+ days, and amplitudes 
          of variation are 7-16 magnitudes. 
        Dwarf Novae: These are close binary systems 
          made up of a Sun-like star, a white dwarf, and an accretion disk surrounding 
          the white dwarf. The accretion disk "erupts" every few weeks. 
        
        Symbiotic Stars: These close binary systems 
          consist of a red giant and a hot blue star, both embedded in nebulosity. 
          They show nova-like outbursts, up to three magnitudes in amplitude, 
          and are semi-periodic. 
        R Coronae Borealis Stars: These are rare, 
          luminous, hydrogen-poor, carbon-rich, variables that spend most of their 
          time at maximum light, occasionally fading as much as nine magnitudes 
          at irregular intervals. They then slowly recover to their maximum brightness 
          after a few months to a year. Members of this group have F to K and 
          R spectral types. 
        Flare Stars: Also known as UV Ceti stars, 
          these are intrinsically faint, cool, red, main-sequence stars that undergo 
          intense outbursts from localized areas of the surface. The result is 
          an increase in brightness of two or more magnitudes in several seconds, 
          followed by a decrease to its normal minimum in about 10 to 20 minutes. 
        
              Extrinsic variables are 
          classified as either eclipsing binary or rotating 
          variables. In eclipsing binaries, the object in question 
          is a binary star system with an orbital plane lying near the line-of-sight 
          of the observer, and light variation is due to the two stars making 
          up the system eclipsing each other. The system appears to dim when one 
          star passes in front of the other (in relation to the observer on earth) 
          and subsequently brightens when the star moves out of the way so that 
          both stars are exposed and contributing to the overall brightness of 
          the system. The period of variation coincides with the orbital period 
          of the system and can range from a few minutes to several years. 
              In rotating variable 
          stars, variation in brightness is usually small and results in the rotation 
          of the star exposing dark or bright spots, or patches ("starspots") 
          on its surface. Rotating variable stars are often binary systems. 
        For general information on variable stars, www.aavso.org/vstar/ 
          has a lot of useful topics. For more detailed information about specific 
          stars the variable 
          star of the month archive has an excellent description of many stars. 
        
        For a review of Astronomical Terms, click here. 
          
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