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conversion of measured diameter to angular diameter in arcseconds |
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for angular diameter (from arcseconds to radians) |
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conversion of angular diameter (in radians) to linear diameter |
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(or true diameter) |
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plate
scale: how to find it (for a given image)
1)
a) it's given in the image header (in Image Info under Data Tools)
b) it's given in the HOU activity
c) it's given in another HOU activity that was produced with the same telescope/CCD
combination
2) figure
it out because you recognize some object (Jupiter, Sun) in the image whose
angular size you know (because you can look it up) and whose measured
diameter
you can measure on the image (in pixels)
3) calculate
it from first principles (HOU wouldn't really expect you to do this!),
but you can
calculate it if you know the CCD linear size and the telescope's focal
length
the 4 units of angular diameter (or angular size) that are encountered in HOU activities are:
degrees
arcseconds
(also ")
arcminutes
(also ')
radians
1 degree = 60 arcminutes ( = 60 ' ) = 3600 arcseconds ( = 3600 " )
a full circle = 360 degrees = 2 p radians
combining the above 2 lines, 1 radian = 206,265 arcseconds
radians is
probably the only unit that will need some introduction:
see Supplementary
Activity 6 in the Measuring Size book
small angle formula
(valid only if is smaller than 15 degrees)
D = q x d
where
d = distance to the object
q = angular diameter
of the object in radians
D = linear diameter of the object
D will be in the same units
that d is in. If d is in kilometers,
D is in kilometers;
if d is in light years, D will be in light
years.