So with the spectroscopy we can determine density but how do we know exact size and mass of the star? 
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If I'm not mistaken it's from the wobbling by gravity of it's companion, also using H-R diagram for sorting color temp
End of conversation
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i see wider gaps between the bands in the white dwarf, but how does one learn to know the shading?
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Would this instrument be capable of detecting the nearest planets? To confirm their atmospheric composition. Is it enough to wait for a star to pass through?
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Beyond temperature and composition, it can tell us about the density of stars, or even the motion of objects in space! Part 5 of