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The absolute visual magnitude of RR Lyrae variables is 0.6±0.3. What is the relative error of...

The absolute visual magnitude of RR Lyrae variables is 0.6±0.3. What is the relative error of distances due to the deviation in the magnitude?

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Answer #1

The absolute visual magnitude is the measure of the brightness of an object at a fixed distance away in space.

Using the relation,

where, m = apparent magnitude; M = absolute magnitude and d is the distance of RR Lyrae variables from the earth.

The distance at an absolute magnitude M = 0.6 is

Absolute error in distance for an absolute error in M i.e.,

Subtracting (1) from (2),

The relative error of distances due to the deviation in the magnitude = 1.15.

Regards

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