## Double Star KUI82AB,C Measurements with AIP4WIN David Haworth and Tom Frey

Introduction

The double star KUI82AB,C separation (rho) and position angle (theta) were measured on five Canon DSLR images 5970, 5971, 5972, 5973 and 5974 with AIP4WIN V2.4.8B software running on an Apple MacBook Pro running a virtual machine with Microsoft Windows 7. The images were taken buy Tom Frey using his alt-azimuth Dob and DSLR.

Below is the double star KUI82AB,C separation (rho = 50.119 arcseconds) and position angle (theta = 313.753 for J2000) based on the mean RA and Dec of the AIP4WIN measurements. The rho and theta measurements have not been precessed to the observation date of May 30, 2013.

The below plots are equirectangular map projections of the sky on a flat plot. The plots have been adjusted so that RA distance is equal to the Dec distance. As a result a circle of fixed radii will be round and not distorted by the map projection.

Below is a plot of the five images (5970, 5971, 5972, 5973 and 5974) KUI 82 AB RA and Dec positions based on the individual RA and Dec measurements. The average of the RA and Dec is in the center of the plot and is called primary average. All five RA and Dec measurements were within about 0.4 arcseconds radius of the RA and Dec average.

Below is a plot of the five images (5970, 5971, 5972, 5973 and 5974) KUI 82 C RA and Dec positions based on the individual RA and Dec measurements. The average of the RA and Dec is in the center of the plot and is called secondary average. All five RA and Dec measurements were within about 0.4 arcseconds radius of the RA and Dec average.

Below is a data analysis output KUI82_20130927_192842_DataOut.txt file created by the Python script DoubleStarsAnalysisV22.py.zip with the KUI82_AIP4WIN_Data_In.txt file.
The Python script was created by David Haworth to calculate and plot the the separation (rho) and position angle (theta) of double stars given the double stars RA and Dec in a CSV txt file. The Python script was developed with the free Python Canopy Express programming environment. David uses Canopy Express on computers with the Mac OS X and Windows 7 operating systems. Canopy Express simplifies using Python because it installs and manages the updates to over 30 preconfigured Python packages.

```Date: 2013-09-27 time: 19:28
Python script file name: DoubleStarsAnalysisV22.py

Data file: KUI82_AIP4WIN_Data_In.txt has 5 rows
Data file contains:

Row 0:KUI 82, 5-30-2013, 9:46:46, Image, 5970, Primary RA, 17, 29, 19.88, Dec, 29, 23, 27.5, Secondary RA, 17, 29, 17.12, Dec, 29, 24, 2.0, P Label XY offset, 0,  0.6, S Label XY offset, 0, 0.6, Plot Size, 1.3, Circles, 3, .5, AIP4WIN Plate Solve for RA & Dec
Row 1:KUI 82, 5-30-2013, 9:51:33, Image, 5971, Primary RA, 17, 29, 19.90, Dec, 29, 23, 27.4, Secondary RA, 17, 29, 17.12, Dec, 29, 24, 2.2, P Label XY offset, 0,  0.6, S Label XY offset, 0, 0.6, Plot Size, 1.3, Circles, 3, .5, AIP4WIN Plate Solve for RA & Dec
Row 2:KUI 82, 5-30-2013, 9:51:43, Image, 5972, Primary RA, 17, 29, 19.93, Dec, 29, 23, 27.1, Secondary RA, 17, 29, 17.14, Dec, 29, 24, 1.9, P Label XY offset, 0,  0.6, S Label XY offset, 0, 0.6, Plot Size, 1.3, Circles, 3, .5, AIP4WIN Plate Solve for RA & Dec
Row 3:KUI 82, 5-30-2013, 9:46:46, Image, 5973, Primary RA, 17, 29, 19.91, Dec, 29, 23, 27.1, Secondary RA, 17, 29, 17.16, Dec, 29, 24, 1.7, P Label XY offset, 0,  0.6, S Label XY offset, 0, 0.6, Plot Size, 1.3, Circles, 3, .5, AIP4WIN Plate Solve for RA & Dec
Row 4:KUI 82, 5-30-2013, 9:55:31, Image, 5974, Primary RA, 17, 29, 19.88, Dec, 29, 23, 27.1, Secondary RA, 17, 29, 17.11, Dec, 29, 24, 1.7, P Label XY offset, 0,  0.6, S Label XY offset, 0, 0.6, Plot Size, 1.3, Circles, 3, .2, AIP4WIN Plate Solve for RA & Dec

Double star name:KUI 82
Comment: AIP4WIN Plate Solve for RA & Dec

Image 5970.0 analysis:
Primary RA = 17h 29' 19.88"
Primary RA = 262.33283 degrees
Primary Dec = 29 degrees 23' 27.5"
Primary Dec = 29.39097 degrees
Secondary RA = 17h 29' 17.12"
Secondary RA = 262.32133 degrees
Secondary Dec = 29 degrees 24' 2.0"
Secondary Dec = 29.40056 degrees
Rho = 49.91392 arcseconds, theta = 313.72437 degrees

Image 5971.0 analysis:
Primary RA = 17h 29' 19.9"
Primary RA = 262.33292 degrees
Primary Dec = 29 degrees 23' 27.4"
Primary Dec = 29.39094 degrees
Secondary RA = 17h 29' 17.12"
Secondary RA = 262.32133 degrees
Secondary Dec = 29 degrees 24' 2.2"
Secondary Dec = 29.40061 degrees
Rho = 50.31020 arcseconds, theta = 313.76552 degrees

Image 5972.0 analysis:
Primary RA = 17h 29' 19.93"
Primary RA = 262.33304 degrees
Primary Dec = 29 degrees 23' 27.1"
Primary Dec = 29.39086 degrees
Secondary RA = 17h 29' 17.14"
Secondary RA = 262.32142 degrees
Secondary Dec = 29 degrees 24' 1.9"
Secondary Dec = 29.40053 degrees
Rho = 50.40468 arcseconds, theta = 313.66273 degrees

Image 5973.0 analysis:
Primary RA = 17h 29' 19.91"
Primary RA = 262.33296 degrees
Primary Dec = 29 degrees 23' 27.1"
Primary Dec = 29.39086 degrees
Secondary RA = 17h 29' 17.16"
Secondary RA = 262.32150 degrees
Secondary Dec = 29 degrees 24' 1.7"
Secondary Dec = 29.40047 degrees
Rho = 49.88889 arcseconds, theta = 313.91109 degrees

Image 5974.0 analysis:
Primary RA = 17h 29' 19.88"
Primary RA = 262.33283 degrees
Primary Dec = 29 degrees 23' 27.1"
Primary Dec = 29.39086 degrees
Secondary RA = 17h 29' 17.11"
Secondary RA = 262.32129 degrees
Secondary Dec = 29 degrees 24' 1.7"
Secondary Dec = 29.40047 degrees
Rho = 50.07752 arcseconds, theta = 313.70367 degrees

5 Rho & theta measurements analysis:
Image 5970, rho = 49.91392 arcseconds, theta = 313.72437 degrees
Image 5971, rho = 50.31020 arcseconds, theta = 313.76552 degrees
Image 5972, rho = 50.40468 arcseconds, theta = 313.66273 degrees
Image 5973, rho = 49.88889 arcseconds, theta = 313.91109 degrees
Image 5974, rho = 50.07752 arcseconds, theta = 313.70367 degrees

Rho mean = 50.11904 arcseconds
Rho standard deviation = 0.20732 arcseconds
Rho standard error of the mean = 0.09271 arcseconds
Rho mean - standard deviation = 49.91173 arcseconds
Rho mean + standard deviation = 50.32636 arcseconds
Maximum rho = 50.40468 arcseconds in image 5972.0
Minimum rho = 49.88889 arcseconds in image 5973.0
Rho spread = 0.51580 arcseconds, rho spread percentage of rho mean 1.03%

Theta mean = 313.75348 degrees
Theta standard deviation = 0.08550 degrees
Theta standard error of the mean = 0.03823 arcseconds
Theta mean - standard deviation = 313.66798 degrees
Theta mean + standard deviation = 313.83897 degrees
Maximum theta  = 313.91109 degrees in image 5973.0
Minimum theta  = 313.66273 degrees in image 5972.0

Mean of 5 images RA & Dec analysis:
Mean of primary RA & Dec:
RA mean = 262.33292 degrees
RA standard deviation = 0.0000791 degrees, 0.0047434 arcminutes, 0.2846050 arcseconds
RA standard error of the mean = 0.0000354 degrees, 0.0021213 arcminutes, 0.1272792 arcseconds
Dec = 29.39090 degrees
Dec standard deviation = 0.0000484 degrees, 0.0029059 arcminutes, 0.1743560 arcseconds
Dec standard error of the mean = 0.0000217 degrees, 0.0012996 arcminutes, 0.0779744 arcseconds
Mean of secondary RA & Dec:
RA = 262.32137 degrees
RA standard deviation = 0.0000745 degrees, 0.0044721 arcminutes, 0.2683282 arcseconds
RA standard error of the mean = 0.0000333 degrees, 0.0020000 arcminutes, 0.1200000 arcseconds
Dec = 29.40053 degrees
Dec standard deviation = 0.0000527 degrees, 0.0029059 arcminutes, 0.1743560 arcseconds
Dec standard error of the mean = 0.0000236 degrees, 0.0014142 arcminutes, 0.0848528 arcseconds
Rho = 50.11899 arcseconds, theta = 313.75327 degrees
Plot 3 circles in radii increments of 0.20 arcseconds.

Double star AB plot size is 132.30 by 115.27 arcseconds.
Primary plot size is 1.49 by 1.30 arcseconds.
Secondary plot size is 1.49 by 1.30 arcseconds.
Equal angular adjustment of plot RA is True.

End of data analysis.

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