2] How far away is a RR Lyrae variable star if it has a period of...

Question

Question

2] How far away is a RR Lyrae variable star if it has a period of 0.5 days and a brightness of 2.3 x 10^-11 W/m^2?

Answer: 8.14 x 10^18 m, 860 ly

Answer 1

Answer #1

Period of the RR Lyrae variable star is T =0.5 days

Using the Period - Luminosity relationship graph, at time period T =0.5 days ,

luminosity lies between is L 50 Lo 50 3.828 1025 W/m2

Relation between distance of star , brightness and luminosity is

Distance of star 50 κ 3.828 * 1026 Ι d = 8.14 1018 mη 4πό 4π * 2.3 * 10-1.

1015 m 1 ly 9.46

d 8.141018 m 8.14* 1018 860 ly 9.461015

Distance of RR Lyrae star is d 8.14* 1018 m 860 ly

Answer 2

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