M3 (NGC 5272)- Light curve from an RR Lyrae star

M3

M3
All Images Copyright Steve Cannistra

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Description:
In the top panel, the arrow points to one of several RR Lyrae stars that clearly fluctuated in intensity over the course of the imaging session.  Using the photometry tool in MaximDL and identifying a reference (non-variable) star, I quantitated the magnitude of this RR Lyrae star over time using sequential, calibrated luminance subs, with the results plotted in the lower Excel graph.  The missing segments are due to intervening RGB subframes that were taken throughout the night (I did not plan to generate a light curve!).  I used a polynomial curve fit (3rd order) to estimate the dimensions of the curve, yielding an average relative magnitude for this variable of 15.55.  An accepted value for the absolute magnitude of RR Lyrae stars is approximately 0.75.  Using the distance modulus equation (d = 10^[0.2*(m-M+5)], where d is the distance in parsecs, m is the average relative magnitude, and M is the absolute magnitude), I calculated a distance of 9120 parsecs, or 29,731 light years for the M3 globular cluster (3.26 LY/parsec).  Having used only one RR Lyrae star and an incomplete light curve, this is in remarkably close agreement with the accepted distance of 33,900 light years.



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