Doppler shift

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dingo_d
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Homework Statement


Supernovae type Ia has a red shift z=1.1. Observed luminosity of the star has changed in the interval of 60 days. What time interval would an observer measure in the near vicinity of the star? What is the speed that the star is moving away from us? What is the distance of the star from us ([itex]h\approx 0.7[/itex])

Homework Equations



Red shift:

[itex]z=\sqrt{\frac{1+\beta}{1-\beta}}-1[/itex]

[itex]\nu_o=\sqrt{\frac{1-\beta}{1+\beta}}\nu_e[/itex]

o is for observed, and e is for emitted light.

Hubble law:

[itex]v=H_0 d\approx 100 h d[/itex]

The Attempt at a Solution



Using the provided formulas I got:

[itex]\beta=0.630314[/itex]
[itex]d=2692.34 Mpc[/itex]
[itex]T_e=28.5715 days[/itex]

Is this correct?
 

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