Chapter 3 — About Variable Stars
The Naming of Variable Stars
The name of a variable star generally consists of one or two capital
letters or a Greek letter, followed by a three letter constellation abbreviation. There are also variables with names
such as V746 Oph and V1668 Cyg. These are stars in constellations for which all of the letter combinations have been
exhausted. (i.e. V746 Oph is the 746th variable to be discovered in Ophiuchus.) See the panel below for
a more detailed explanation of variable star names. examples: SS Cyg Z Cam alpha Ori V2134 Sgr
Click here for a table that lists all of the official constellation names and abbreviations.
There are also some special kinds of star names. For instance, sometimes stars are given temporary names until
such time as the editors of the General Catalogue of Variable Stars assign the star a permanent name. An example of this
would be N Cyg 1998-a nova in the constellation of Cygnus which was discovered in 1998. Another case is of a star that
is suspected but not confirmed to be variable. These stars are given names such as NSV 251 or CSV 3335. The first part
of this name indicates the catalogue in which the star is published, while the second part is the catalogue entry number
for that star.
Variable Star Designations
In addition to its proper name, a variable star is also referred to
by its Harvard Designation. This designation is simply an indication of a star's position coordinates, given in hours
and minutes of right ascension (R.A.) plus or minus the degrees of declination (Dec.) of the star for epoch 1900. See
sidebar on the next page for more information on how the Harvard Designation is determined. examples: 2138+43
1405-12A 0214-03 1151+58
Note that in one example given, the designation is followed by the letter "A". This is
because there is another variable in the proximity, with the designation 1405-12B which was discovered later.
Click here for more information on the Harvard Designation of variable
stars.
Variable
Star Naming Conventions Variable star names are determined by a committee
appointed by the International Astronomical Union (I.A.U.). The assignments are made in the order in which the variable
stars were discovered in a constellation. If one of the stars that has a Greek letter name is found to be variable, the
star will still be referred to by that name. Otherwise, the first variable in a constellation would be given the letter
R, the next S, and so on to the letter Z. The next star is named RR, then RS, and so on to RZ; SS to SZ, and so on to
ZZ. Then, the naming starts over at the beginning of the alphabet: AA, AB, and continuing on to QZ. This system (the
letter J is omitted) can accommodate 334 names. There are so many variables in some constellations in the Milky Way,
however, that additional nomenclature is necessary. After QZ, variables are named V335, V336, and so on. The letters
representing stars are then combined with the genitive Latin form of the constellation name as given in Table 3.1. For
all but the most formal usage, and for reports you submit to the AAVSO, the three letter abbreviations should be used.
This system of nomenclature was initiated in the mid-1800s by Friedrich Argelander. He started with an uppercase R
for two reasons: the lowercase letters and the first part of the alphabet had already been allocated for other objects,
leaving capitals towards the end of the alphabet mostly unused. Argelander also believed that stellar variability was a
rare phenomenon and that no more than 9 variables would be discovered in any constellation (which is certainly not the
case!). |
Types of Variable Stars
There are two kinds of variable stars: intrinsic,
in which variation is due to physical changes in the star or stellar system, and extrinsic, in which variability
is due to the eclipse of one star by another or the effect of stellar rotation. Variable stars are frequently divided
into four main classes: the intrinsic pulsating and cataclysmic (eruptive) variables, and the
extrinsic eclipsing binary and rotating stars. Generally, long period and semiregular pulsating
variables are recommended for beginners to observe. These stars have a wide range of variation. Also, they are
sufficiently numerous that many of them are found close to bright stars, which is very helpful when it comes to locating
them.
A brief description of the major types in each class is covered in this chapter. There is also mention of the
star's spectral type. If you are interested in learning more about stellar spectra and stellar evolution, you can find
information on these subjects in basic astronomy texts or in some of the books mentioned in Appendix 3.
PULSATING VARIABLES
Pulsating variables are stars that show periodic expansion and
contraction of their surface layers. Pulsations may be radial or non-radial. A radially pulsating star remains spherical
in shape, while a star experiencing non-radial pulsations may deviate from a sphere periodically. The following types of
pulsating variables may be distinguished by the pulsation period, the mass and evolutionary status of the star, and the
characteristics of their pulsations. Cepheid — delta
Cep
Cepheids - Cepheid variables pulsate with periods from 1 to 70 days, with light variations from 0.1 to
2 magnitudes. These massive stars have high luminosity and are of F spectral class at maximum, and G to K at minimum.
The later the spectral class of a Cepheid, the longer is its period. Cepheids obey the period-luminosity relationship.
Cepheid variables may be good candidates for student projects because they are bright and have short periods.
RR Lyrae stars - These are short-period (.05 to 1.2 days), pulsating, white giant stars, usually of
spectral class A. They are older and less massive than Cepheids. The amplitude of variation of RR Lyrae stars is
generally from 0.3 to 2 magnitudes.
RV Tauri stars - These are yellow supergiants having a
characteristic light variation with alternating deep and shallow minima. Their periods, defined as the interval between
two deep minima, range from 30 to 150 days. The light variation may be as much as 3 magnitudes. Some of these stars show
long-term cyclic variations from hundreds to thousands of days. Generally, the spectral class ranges from G to K.
Long Period Variables - Long Period Variables (LPVs) are pulsating red giants or supergiants with
periods ranging from 30-1000 days. They are usually of spectral type M, R, C or N. There are two subclasses; Mira and
Semiregular.
Mira - These periodic red giant variables vary with periods ranging from 80 to 1000 days and
visual light variations of more than 2.5 magnitudes.
Mira
(omicron Ceti)
Semiregular - These are giants and supergiants showing appreciable periodicity accompanied by intervals of
semiregular or irregular light variation. Their periods range from 30 to 1000 days, generally with amplitude variations
of less than 2.5 magnitudes.
Semiregular — Z
UMa
Irregular
variables
These stars, which include the majority of red giants, are pulsating variables. As the name
implies, these stars show luminosity changes with either no periodicity or with a very slight periodicity.
CATACLYSMIC VARIABLES
Cataclysmic variables (also known as
Eruptive variables), as the name implies, are stars which have occasional violent outbursts caused by thermonuclear
processes either in their surface layers or deep within their interiors. Supernovae - These massive stars
show sudden, dramatic, and final magnitude increases of 20 magnitudes or more, as a result of a catastrophic stellar
explosion.
SN 1987A
Novae - These close binary
systems consist of an accreting white dwarf as a primary and a low-mass main sequence star (a little cooler than the
Sun) as the secondary star. Explosive nuclear burning of the surface of the white dwarf, from accumulated material from
the secondary, causes the system to brighten 7 to 16 magnitudes in a matter of 1 to several hundred days. After the
outburst, the star fades slowly to the initial brightness over several years or decades. Near maximum brightness, the
spectrum is generally similar to that of A or F giant stars.
Nova — V1500 Cyg
 | A huge, billowing pair of gas and
dust clouds are captured in this stunning NASA Hubble Space Telescope image of the supermassive star eta Carinae. This
star was the site of a giant outburst about 150 years ago, when it became one of the brightest stars in the southern
sky. Though the star released as much visible light as a supernova explosion, it survived the
outburst. |
Recurrent Novae - These objects are similar to novae, but
have two or more slightly smaller-amplitude outbursts during their recorded history.
Recurrent Nova — RS Oph
Dwarf Novae - These are close binary systems made up of a red dwarf-a
little cooler than our Sun, a white dwarf, and an accretion disk surrounding the white dwarf. The brightening by 2 to 6
magnitudes is due to instability in the disk which forces the disk material to drain down (accrete) onto the white
dwarf. There are three main subclasses of dwarf novae; U Gem, Z Cam, and SU UMa stars.
U Geminorum - After
intervals of quiescence at minimum light, they suddenly brighten. Depending on the star, the eruptions occur at
intervals of 30 to 500 days and last generally 5 to 20 days.
U
Gem
Z Camelopardalis -
These stars are physically similar to U Gem stars. They show cyclic variations, interrupted by intervals of constant
brightness called "standstills". These standstills last the equivalent of several cycles, with the star "stuck" at the
brightness approximately one-third of the way from maximum to minimum.
Z Cam
SU Ursae
Majoris - Also physically similar to U Gem stars, these systems have two distinct kinds of outbursts: one is faint,
frequent, and short, with a duration of 1 to 2 days; the other ("superoutburst") is bright, less frequent, and long,
with a duration of 10 to 20 days. During superoutbursts, small periodic modulations ("superhumps") appear.
SU UMa
U Geminorum  |  | To the left are 20-second exposures of U Gem before
outburst and after the start of an outburst. Images were taken by AAVSO Director Arne Henden, USRA/USNO, using a CCD with
a V filter on the U. S. Naval Observatory 1.0-m telescope in Flagstaff, AZ. Beneath the photos is the artist, Mark A.
Garlick's rendition of a CV system (note the sun-like star to the right, the white dwarf, and the accretion disk
surrounding the white dwarf). |
 |
Symbiotic stars - These close binary systems consist of a red giant and a hot blue star,
both embedded in nebulosity. They show semi-periodic, nova-like outbursts, up to three magnitudes in amplitude.
Symbiotic — Z And
R Coronae Borealis - These rare,
luminous, hydrogen-poor, carbon-rich, supergiants 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.
R CrB
ECLIPSING BINARY STARS
These are binary systems of stars with an orbital plane lying near the
line-of-sight of the observer. The components periodically eclipse one another, causing a decrease in the apparent
brightness of the system as seen by the observer. The period of the eclipse, which coincides with the orbital period of
the system, can range from minutes to years. Eclipsing Binary
— beta Per
ROTATING STARS
Rotating stars show small changes in light that may be due to dark or
bright spots, or patches on their stellar surfaces ("starspots"). Rotating stars are often binary systems. | Courage! Each step forward brings us nearer the goal,
and if we can not reach it, we can at least work so that posterity shall not reproach us for being idle or say that we
have not at least made an effort to smooth the way for them. - Friedrich Argelander (1844) the "father of variable
star astronomy" |
What is a Light Curve?
Observations of variable stars are commonly
plotted on a graph called a light curve, as the
apparent brightness (magnitude) versus time,
usually in Julian Date (JD). The magnitude scale
is plotted so that brightness increases as you go
from bottom to top on the Y-axis and the JD
increases as you go from left to right on the X-
axis.
Information about the periodic behavior of stars,
the orbital period of eclipsing binaries, or the
degree of regularity (or irregularity) of stellar
eruptions, can be directly determined from the
light curve. More detailed analysis of the light
curve allows astronomers to calculate such
information as the masses or sizes of stars.
Several years or decades of observational data
can reveal the changing period of a star, which
could be a signal of a change in the structure of
the star.
Phase Diagrams
Phase diagrams (also known as "folded light
curves") are a useful tool for studying the behavior
of periodic stars such as Cepheid variables and
eclipsing binaries. In a phase diagram, multiple
cycles of brightness variation are superimposed
on each other. Instead of plotting magnitude
versus JD as with a regular light curve, each
observation is plotted as a function of "how far
into the cycle" it is. For most variable stars, a cycle
starts at maximum brightness (phase=0), runs
through minimum and back to maximum again
(phase=l ). With eclipsing binary stars, phase
zero occurs at mid-eclipse (minimum). An
example of a phase diagram is given on page 23
of this manual to show the characteristic light
curve of beta Persei.