A variable star, as its name suggests, is a star whose magnitude varies intrinsically, in contrast to eclipsing binaries whose magnitude varies as a result of one star in the binary system eclipsing the other. True variables are one of five types, namely Mira stars, semiregular stars, cepheids, eruptive variables and, finally, cataclysmic variables. Minimum to maximum magnitude can range from days to many months with some variables displaying irregular periods.

A popular method for the study of variable stars, particularly short-term variables, is by the use of the technique known as "differential photometry". Rather than measure the (variable) magnitude of a variable star on an absolute scale, measurements are made over time relative to one or more non-variable star(s) and these differences are then plotted so as to study and illustrate the relative or differential change in magnitude. Due to the very large number of variables stars, the field of differential photometry represents one of the key fields in astronomy whereby the amateur astronomer can make a meaningful and long-lasting contribution to both science and astronomy.

More recently, the search for extrasolar planets (over 925 discovered so far) has identified yet another interesting application for the practice of differential photometry whereby the minute drops in magnitude of a star hosting an exoplanet are studied. Further details for the interested party are available here.

Note: The light curve for exoplanet HAT-P-16b in Andromeda depicted below is one of the latest transitting exoplanets, having being announced July/2010, and represents the sixteenth discovery by the Hungarian-based HATNet Project team. HAT-P-16b is characterized with a whopping mass 4.193 times that of Jupiter and in spite of a larger radius (1.289 R_Jup), thus making this find a high-density hot Jupiter. HAT-P-16b requires 184 minutes to transit its parent star at a depth of 10.1 millimag (1.01%) while orbiting its host star every 66.62 hours in an eccentric orbit. The parent star, GSC 2792:1700, is an F8 dwarf estimated to have a mass of 1.22 solar masses, a radius equivalent to 1.24 solar radii, a temperature of 6,158° K and to lie at a distance of 766 light-years away with a visual magnitude of 10.77. Further details regarding HAT-P-16 and HAT-P-16b are available in the paper published by the discovery team led by Lars Buchhave et al here.

Note: The C- and K-stars used for the purposes of the differential photometry measurements depicted below were GSC 2792:1737 (mag 10.5) and GSC 2792:1220 (mag 10.7) respectively.