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Main sequence stars are located on the H-R diagram based on their luminosity or absolute magnitude verses their spectral class and effective temperature.
by the Hertzsprung-Russell diagram
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Pollux is an orange giant star located about 34 light years from earth. It would no doubt have been used to help form the Hertzsprung-Russell diagram, showing temperatures of stars vs. luminosity. Its temperature is around 4865 Kelvin and it has a luminosity of 32 times that of our own sun.
Stars' brightness and temperature are typically represented on a Hertzsprung-Russell (H-R) diagram. An average star like the Sun would be located on the "Main Sequence" portion of the graph, where brightness increases as temperature increases.
An H-R Diagram (Hertzsprung and Russell) is used to classify stars based on their size and brightness. The main sequence stars, such as our sun, are the medium stars, and take up the middle f the diagram, while the giants and dwarves are located on either side. http://www.eso.org/public/outreach/eduoff/cas/cas2002/cas-projects/bulgaria_comaber_1/hr_local.gif <- shows what an H-R diagram looks like.
A Hertzsprung-Russell diagram is a scatter graph that can be used to plot the relationship between the absolute magnitude (i.e. luminosity) of a star versus it's spectral type / classification and effective temperature. Since a black hole does not have an absolute magnitude, spectral type, or an effective temperature, it cannot be located on an H-R diagram.
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below and to the right of the lowest part of the main sequence