the$equatorial$coordinate$ system$jlong/astrostat/fall2015/ricedistribution.pdf · ncp 23.50- sep...
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The Equatorial Coordinate System
Lifan Wang
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Equatorial Coordinate System
• Defined by – an origin at the center of the Earth – a plane defined by the Earth’s equator – a primary direc?on toward the vernal equinox – a right-‐handed conven?on
Right ascension: measured eastward along the equator from the vernal equinox Declina0on: measured posi?ve northward
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RA: hh:mm:ss.ss Decl: dd:mm:ss.ss
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Probability Distribu?on of Func?ons of Random Variables
• If x and y both follow a Gaussian distribu?on, what is the probability distribu?on func?on of d = sqrt(x^2+y^2)? (d can be considered to be the distance to the origin from (x,y)).
• Which will you choose to es?mate the true distance d, mean(d), mode(d), or media(d)?
• Are the es?mator biased? How will you apply a correc?on so that the bias will be removed?
Suggested Reading: hVp://adsabs.harvard.edu/abs/1985A%26A...142..100S
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