The distance to Proxima Centauri using the parallax method (p = 0.77) results in a measurement of about 4 light years. The standard candle method (apparent magnitude = 11.05; absolute magnitude = 15.49)also results in a measurement of about 4 light years. Show the computations using the parallax equation and the standard candle equation. (For the SC equation use the x²button above the posting box.)

Parallax Method

If the parallax angle, p, is measured in arcseconds (arcsec), then the distance to the star, d in parsecs (pc) is given by:

d = 1/p

Candle Formula

d = 10^{(m - M + 5)/5}

Add some brief explanation for each step (show each step, starting with the formula)

Then, short narrative explanation:From a scientific and an inductive reasoning point of view why is getting about the same answer with two different methods viewed as extremely significant?