POSSII IMAGES ASTROMÉTRIC REDUCTION
description
Transcript of POSSII IMAGES ASTROMÉTRIC REDUCTION
POSSII IMAGES POSSII IMAGES ASTROMÉTRIC ASTROMÉTRIC
REDUCTIONREDUCTIONReduction Reduction methods and their influence methods and their influence
on Theta and Rho measureson Theta and Rho measures
Ignacio NovalbosIgnacio NovalbosO.A.N.L. BarcelonaO.A.N.L. Barcelona
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
ORIGIN ORIGIN AND AND
OBJECTIVEOBJECTIVE
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
Relative astrometry of new pairs discovered on POSSII platesRelative astrometry of new pairs discovered on POSSII plates
OAGOAG CCommon ommon PProper roper MMotion otion WWide ide PPairs airs SSurveyurvey
ORIGIN ORIGIN
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
OBJECTIVEOBJECTIVE
Knowing which astrometric reduction Knowing which astrometric reduction method / software method / software get the most get the most
accurate, when we measured on images accurate, when we measured on images from the POSSII-Jfrom the POSSII-J , which usually , which usually present saturation for stars with present saturation for stars with
magnitude <12.magnitude <12.
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
METHODOLOGYMETHODOLOGY
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
METHODOLOGYMETHODOLOGY- Selection of pairs from the Catalog of Rectilinear Elements - Getting POSS II images of each pair - Get the time of each plate from the FITS header - From the linear elements and using a linear regression we calculate the values for "x" and "y"- From the rectangular coordinates we calculate polar coordinates (theta and rho), correcting the theta value for the quadrant - We evaluate the accuracy of calculations by plotting “x / y “ vs epoch and " theta / rho” vs epoch, adjusting the values to a linear fit and analyzing the R-squared value- We confirm the accuracy of the estimates for theta and rho with the residuals obtained from the ephemerids calculated and those of the CRE -We calculate the calibration constants for each of the plates from Astrométrica +USNO A2.-Relative astrometry is obtained for each pair with different astrometric reduction methods-We evaluate and compare the results
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
PAIRS SELECTIONPAIRS SELECTION
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
CATALOGCATALOGCCatalog atalog RRectilinear ectilinear EElements v. 2009.2 lements v. 2009.2
(1176 pairs)(1176 pairs)
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
SELECTION CRITERIASELECTION CRITERIA
- Pairs with Mag V>11 for both components. (61 Pairs = 5,2%)- Pairs with Mag V>11 for both components. (61 Pairs = 5,2%)
- Pairs with DEC between -20º y +20º. (15 Pairs = 1,3%)- Pairs with DEC between -20º y +20º. (15 Pairs = 1,3%)
- Pairs with residuals <1º PA and < 0,5” Sep. (7 Pairs = 0,6%)- Pairs with residuals <1º PA and < 0,5” Sep. (7 Pairs = 0,6%)
- Pairs with rho >10” . (6 Pairs) - Pairs with rho >10” . (6 Pairs)
- - Pairs with historical measurements Pairs with historical measurements N >5 . (6 Pairs) N >5 . (6 Pairs)
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
OBJECT PAIRSOBJECT PAIRS
WDS ID R.A. DEC. N V1 V2CATALOG RECTILINEAR ELEMENTS
EPHEMÉRIDS
Époch theta +/- rho +/-
00384+0130 BAL 947 00 38 23,51 +01 30 11,8 13 11,10 11,24 2010.0 216,6 0,3 18,973 0,118
07140-0101 BAL 781 07 13 56,15 -01 01 26,6 5 12,15 12,22 2010.0 8,8 0,7 11,859 0,139
14165+0145 H N 1AC 14 16 27,24 +01 45 17,4 8 11,36 11,98 2010.0 144,1 0,2 30,377 0,128
17226+0410 BAL2891 17 22 33,51 +04 09 51,7 10 11,39 11,53 2010.0 20,2 0,2 22,285 0,219
22166+0147 HJ 3102 22 16 36,91 +01 47 28,1 9 11,09 11,40 2010.0 179,3 0,6 14,628 0,202
23514+0225 HJ 3220 23 51 25,97 +02 24 55,4 12 11,35 11,41 2010.0 11,1 0,5 36,371 0,277
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
IMAGESIMAGES
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
POSS II-JPOSS II-J
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
OBSERVATORYOBSERVATORYAnglo-Australian Observatory Anglo-Australian Observatory
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
TELESCOPETELESCOPE
UK Schmidt Telescope
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
PLATESPLATES
BAL 947 STScI_POSS2UKSTU_Red_00-38-24.00_+01-30-00.0
BAL 781 STScI_POSS2UKSTU_Red_07-13-56.19_- 01-01-24.8
H N 1AC STScI_POSS2UKSTU_Red_14-16-30.00_+01-45-00.0
BAL2891 STScI_POSS2UKSTU_Red_17-22-36.00_+04-10-00.0
HJ 3102 STScI_POSS2UKSTU_Red_22-16-36.00_+01-47-00.0
HJ 3220 STScI_POSS2UKSTU_Red_23-51-24.00_+02-25-00.0
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
STScI IMAGESSTScI IMAGES
BAL 781BAL 781
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
IMAGES ÉPOCHIMAGES ÉPOCH
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
EPHEMERIDSEPHEMERIDS
CALCULATION CALCULATION
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
LINEAR ELEMENTSLINEAR ELEMENTSDD X0,,,,,,,,, XA,,,,,,, Y0,,,,,,,,, YA,,,,,,, T0,,,,,, RHO0,,, THETA0
+/-,,,,,,,, +/-,,,,,, +/-,,,,,,,, +/-,,,,,, +/-,,,,, +/-,,,, +/-,,,
BAL 947-2.664223 -0.021999 -1.384188 0.042342 1617.387 3.002 297.45
0.193818 0.000583 0.206333 0.00062 0.01 0.197 3.89
BAL 7815.310282 0.007829 -1.887678 0.022025 2456.369 5.636 70.43
0.382692 0.000751 0.358334 0.000704 0.01 0.38 3.67
H N 1AC-5.918252 0.047859 15.575843 0.018185 1513.899 16.662 200.8
0.307658 0.000696 0.324397 0.000734 0.02 0.322 1.07
BAL 2891-6.116268 0.053455 -5.465692 -0.059818 1751.713 8.203 311.78
0.063766 0.00032 0.251954 0.001265 0.01 0.174 1.35
HJ 3102-7.107194 -0.018479 6.003492 -0.021876 2404.232 9.303 229.81
0.25092 0.000513 0.333161 0.000681 0.009 0.288 1.86
HJ 322021.087496 -0.028467 -13.20597 -0.045457 1515.297 24.881 57.94
0.471982 0.001176 0.371912 0.000927 0.039 0.446 0.93
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
COORD. TRANSFORMATION COORD. TRANSFORMATION
We calculate the rectangular coordinates replacing in:
x = xa * (t-t0) + x0y = ya * (t-t0) + y0
From “x y” we obtain the polar coordinates replacing in:
rho = Raiz(x^2 + y^2)theta = arctg (-y/x)
Starting from the linear elements:
(x0,y0,t0) (rho0,theta0,t0)
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
LINEAR REGRESSIONLINEAR REGRESSION
BAL 947
Correction270º
Catalog Ephemerids
theta rho
Époch (T) x y theta theta rho theta rho O-C O-C2010.0 -11.30131639 15.23983165 53.44068498 216.56 18.973 216.6 18.973 -0.04 0.000
2009.5 -11.29031689 15.21866065 53.42926971 216.57 18.949
2009.0 -11.27931739 15.19748965 53.41782603 216.58 18.926
2008.5 -11.26831789 15.17631865 53.40635383 216.59 18.902
2008.0 -11.25731839 15.15514765 53.39485300 216.61 18.879
2007.5 -11.24631889 15.13397665 53.38332343 216.62 18.855
2007.0 -11.23531939 15.11280565 53.37176503 216.63 18.832
2006.5 -11.22431989 15.09163465 53.36017767 216.64 18.808
2006.0 -11.21332039 15.07046365 53.34856126 216.65 18.784
2005.5 -11.20232089 15.04929265 53.33691569 216.66 18.761
2005.0 -11.19132139 15.02812165 53.32524084 216.67 18.737 216.7 18.738 -0.03 -0.001
2004.5 -11.18032189 15.00695065 53.31353660 216.69 18.714
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
LINEAR FIT “x”LINEAR FIT “x”
"x"/epoch
y = -0.022x + 32.917R2 = 1
-11.40
-11.30
-11.20
-11.10
-11.00-10.90
-10.80
-10.70
-10.601975.0 1980.0 1985.0 1990.0 1995.0 2000.0 2005.0 2010.0 2015.0
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
LINEAR FIT “y”LINEAR FIT “y”
"y"/epoch
y = 0.0423x - 69.868R2 = 1
13.8014.0014.2014.4014.6014.8015.0015.2015.40
1975.0 1980.0 1985.0 1990.0 1995.0 2000.0 2005.0 2010.0 2015.0
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
LINEAR FIT “theta”LINEAR FIT “theta”
theta/epoch
y = -0.0246x + 266.04R2 = 0.9996
216.50216.60216.70216.80216.90217.00217.10217.20217.30217.40
1975.0 1980.0 1985.0 1990.0 1995.0 2000.0 2005.0 2010.0 2015.0
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
LINEAR FIT “rho”LINEAR FIT “rho”
rho/epoch
y = 0.0471x - 75.631R2 = 1
17.4017.6017.8018.0018.2018.4018.6018.8019.0019.20
1975.0 1980.0 1985.0 1990.0 1995.0 2000.0 2005.0 2010.0 2015.0
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
ESTIMATED EPHEMERIDSESTIMATED EPHEMERIDS
Époch (T) Ephemerids
Plates x y theta Correction º theta rho
BAL 947 1987.5 -10.806338887 14.2871366460 52.90 270 217.10 17.914
BAL 781 1990.0 1.659079099 -12.1594552250 82.23 90 7.77 12.272
HN 1AC 1994.0 17.058901759 24.3064796850 -54.94 90 144.94 29.695
BAL 2891 1997.0 6.995548585 -20.1382697660 70.84 90 19.16 21.319
HJ 3102 1990.5 0.538159628 15.0542932320 -87.95 90 177.95 15.064
HJ 3220 1987.5 7.645293199 -34.6709017710 77.56 90 12.44 35.504
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
CALIBRATION CALIBRATION CONSTANTSCONSTANTS
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
18:43:33 - USNO-A2.0: 154 Records read (22.8' x 22.8')18:43:33 - USNO-A2.0: 154 Records read (22.8' x 22.8') Center Coordinates: RA = 00h 38m 24.00s, De = +01° 30' 00.0"Center Coordinates: RA = 00h 38m 24.00s, De = +01° 30' 00.0"18:43:34 - Object List for Image 1 (BAL 947 STScI_POSS2UKSTU_Red_00-38-24.00_+01-30-00.0~1.fits): 18:43:34 - Object List for Image 1 (BAL 947 STScI_POSS2UKSTU_Red_00-38-24.00_+01-30-00.0~1.fits): 753 Detections (75 Stars, 75 Ref. Stars, 0 Movers)753 Detections (75 Stars, 75 Ref. Stars, 0 Movers)18:43:34 - Astrometry of Image 1 (BAL 947 STScI_POSS2UKSTU_Red_00-38-24.00_+01-30-00.0~1.fits): 18:43:34 - Astrometry of Image 1 (BAL 947 STScI_POSS2UKSTU_Red_00-38-24.00_+01-30-00.0~1.fits): 75 of 75 Reference Stars used: dRA = 0.36", dDe = 0.41"75 of 75 Reference Stars used: dRA = 0.36", dDe = 0.41" X = +3.035090985E-6 +4.942446179E-6*x' +1.451099745E-8*y'X = +3.035090985E-6 +4.942446179E-6*x' +1.451099745E-8*y' Y = -3.718054588E-6 +1.501028067E-8*x' -4.946326400E-6*y'Y = -3.718054588E-6 +1.501028067E-8*x' -4.946326400E-6*y' Origin: x0 = 441.0, y0 = 441.0Origin: x0 = 441.0, y0 = 441.0 Center Coordinates: RA = 00h 38m 23.96s, De = +01° 29' 59.2"Center Coordinates: RA = 00h 38m 23.96s, De = +01° 29' 59.2" Focal Length = 3033.7mm, Focal Length = 3033.7mm, Rotation = 0.17°Rotation = 0.17° Pixel Size: 1.02" x 1.02",Pixel Size: 1.02" x 1.02", Field of View: 15.0' x 15.0' Field of View: 15.0' x 15.0' 18:43:34 - Photometry of Image 1 (BAL 947 STScI_POSS2UKSTU_Red_00-38-24.00_+01-30-00.0~1.fits): 18:43:34 - Photometry of Image 1 (BAL 947 STScI_POSS2UKSTU_Red_00-38-24.00_+01-30-00.0~1.fits): 70 of 75 Reference Stars used: dmag = 0.41mag70 of 75 Reference Stars used: dmag = 0.41mag
CALIBRATION CONSTANTSCALIBRATION CONSTANTS
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
CALIBRATION CONSTANTSCALIBRATION CONSTANTS
Astrométrica + USNO-A2 A B
A.Rotatión "/pixel R.A. DEC. R.A. DEC.
BAL 947 +0,17 1.02 00 38 23.550 +01 30 13.49 00 38 22.735 +01 29 57.24
BAL 781 +0.08 1.01 07 13 56.190 -01 01 28.34 07 13 56.209 -01 01 11.87
HN 1AC -0.09 1.01 14 16 27.162 +01 45 16.16 14 16 28.470 +01 44 52.06
BAL 2891 -0.18 1.01 17 22 33.550 +04 09 52.26 17 22 34.013 +04 10 12.43
HJ 3102 -0.09 1.01 22 16 36.915 +01 47 32.43 22 16 36.924 +01 47 12.75
HJ 3220 +0,13 1.02 23 51 25.990 +02 24 54.78 23 51 26.404 +02 25 29.42
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
ASTROMETRYASTROMETRY
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
ABSOLUTE ASTROMETRYABSOLUTE ASTROMETRY
Astrométrica + USNO A-2Astrométrica + USNO A-2
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
RecToPolRecToPol
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
RecToPolRecToPol
Efemérides RecToPol O-C
theta rho theta rho theta rho
BAL 947 217.10 17.914 216.95 20.332 0.16 2.418
BAL 781 7.77 12.272 0.99 16.472 6.78 4.200
HN 1AC 144.94 29.695 140.86 31.071 4.07 1.376
BAL 2891 19.16 21.319 18.95 21.326 0.20 0.007
HJ 3102 177.95 15.064 179.61 19.680 1.65 4.616
HJ 3220 12.44 35.504 10.16 35.191 2.28 0.313
Desv. Estándar 2.54 1.945
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
fv FITS VIEWER v 4.1.4fv FITS VIEWER v 4.1.4
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
fv FITS VIEWER v 4.1.4fv FITS VIEWER v 4.1.4
Efemérides fv O-C
theta rho theta rho theta rho
BAL 947 217.10 17.914 217.83 17.917 0.72 0.003
BAL 781 7.77 12.272 6.88 12.641 0.89 0.369
HN 1AC 144.94 29.695 144.69 30.052 0.24 0.356
BAL 2891 19.16 21.319 18.75 21.558 0.40 0.239
HJ 3102 177.95 15.064 177.58 15.106 0.37 0.042
HJ 3220 12.44 35.504 12.80 35.570 0.36 0.066
Desv Estándar 0.25 0.163
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
ALADíN + “Dist”ALADíN + “Dist”
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
ALADíN + “Dist”ALADíN + “Dist”
Efemérides Aladín O-C
theta rho theta rho theta rho
BAL 947 217.10 17.914 217.08 17.914 0.02 0.000
BAL 781 7.77 12.272 7.68 12.310 0.09 0.038
HN 1AC 144.94 29.695 144.92 29.736 0.02 0.041
BAL 2891 19.16 21.319 19.24 21.388 0.08 0.069
HJ 3102 177.95 15.064 177.90 14.992 0.05 0.072
HJ 3220 12.44 35.504 12.50 35.570 0.06 0.066
Desv Estándar 0.03 0.028
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
REDUC & SURFACEREDUC & SURFACE
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
REDUCREDUC
Efemérides Reduc O-C
theta rho theta rho theta rho
BAL 947 217.10 17.914 217.21 17.824 0.11 0.090
BAL 781 7.77 12.272 7.91 12.208 0.14 0.064
HN 1AC 144.94 29.695 144.78 29.787 0.16 0.092
BAL 2891 19.16 21.319 19.35 21.408 0.19 0.089
HJ 3102 177.95 15.064 177.83 15.158 0.12 0.094
HJ 3220 12.44 35.504 12.47 35.522 0.03 0.018
Desv Estándar 0.05 0.030
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
SURFACESURFACE
Efemérides Surface O-C
theta rho theta rho theta rho
BAL 947 217.10 17.914 216.69 17.750 0.41 0.164
BAL 781 7.77 12.272 7.29 11.890 0.48 0.382
HN 1AC 144.94 29.695 145.01 29.295 0.07 0.400
BAL 2891 19.16 21.319 18.90 21.238 0.26 0.081
HJ 3102 177.95 15.064 178.14 15.389 0.19 0.325
HJ 3220 12.44 35.504 12.71 35.906 0.27 0.402
Desv Estándar 0.15 0.137
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
RESULTSRESULTS
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
O-C THETAO-C THETA
RecToPol fv Aladín Reduc Surface
BAL 947 0.16 0.72 0.02 0.11 0.41
BAL 781 6.78 0.89 0.09 0.14 0.48
HN 1AC 4.07 0.24 0.02 0.16 0.07
BAL 2891 0.20 0.40 0.08 0.19 0.26
HJ 3102 1.65 0.37 0.05 0.12 0.19
HJ 3220 2.28 0.36 0.06 0.03 0.27
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
O-C THETAO-C THETAResiduos theta
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
5.50
6.00
6.50
7.00
7.50
BAL 947 BAL 781 HN 1AC BAL 2891 HJ 3102 HJ 3220
RecToPol
fv
Aladín
Reduc
Surface
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
O-C THETA (2)O-C THETA (2)Residuos theta
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
BAL 947 BAL 781 HN 1AC BAL 2891 HJ 3102 HJ 3220
fv
Aladin
Reduc
Surface
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
O-C RHOO-C RHO
RecToPol fv Aladín Reduc Surface
BAL 947 2.418 0.003 0.000 0.090 0.164
BAL 781 4.200 0.369 0.038 0.064 0.382
HN 1AC 1.376 0.356 0.041 0.092 0.400
BAL 2891 0.007 0.239 0.069 0.089 0.081
HJ 3102 4.616 0.042 0.072 0.094 0.325
HJ 3220 0.313 0.066 0.066 0.018 0.402
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
O-C RHOO-C RHO
Residuos rho
0.0000.2000.4000.6000.8001.0001.2001.4001.6001.8002.0002.2002.4002.6002.8003.0003.2003.4003.6003.8004.0004.2004.4004.6004.8005.000
BAL 947 BAL 781 HN 1AC BAL 2891 HJ 3102 HJ 3220
RectoPol
fv
Aladin
Reduc
Surface
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
O-C RHO (2)O-C RHO (2)
Residuos rho
0.000
0.050
0.100
0.150
0.200
0.250
0.300
0.350
0.400
0.450
BAL 947 BAL 781 HN 1AC BAL 2891 HJ 3102 HJ 3220
fv
Aladin
Reduc
Surface
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
STANDARD DEVIATIONSTANDARD DEVIATION O-C O-C THETA/RHOTHETA/RHO
0.00
0.50
1.00
1.50
2.00
2.50
3.00
theta 2.54 0.25 0.03 0.05 0.15
rho 1.950 0.163 0.028 0.030 0.137
RecToPol fv Aladín Reduc Surface
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
CONCLUSIONSCONCLUSIONS The largest deviations correspond to the results obtained with The largest deviations correspond to the results obtained with
"RecToPol" which almost certainly is due to the low precision of "RecToPol" which almost certainly is due to the low precision of Astrometrica in estimating the centroid for star-saturated images.Astrometrica in estimating the centroid for star-saturated images.
Residuals derived from measurements made with the software "fv" are Residuals derived from measurements made with the software "fv" are 10 times better than those obtained from the absolute astrometry and 10 times better than those obtained from the absolute astrometry and we can accept them within the error margins normally allowed.we can accept them within the error margins normally allowed.
The measurements made with "Surface" improve even those obtained The measurements made with "Surface" improve even those obtained with "fv" and show theta and rho residuals in the order of tenths.with "fv" and show theta and rho residuals in the order of tenths.
The two softwares / methods that presents the lowest residuals between The two softwares / methods that presents the lowest residuals between observed and calculated ephemerids (and therefore the greatest observed and calculated ephemerids (and therefore the greatest accuracy available) are “Reduc" and the tool "Dist" from Aladin.accuracy available) are “Reduc" and the tool "Dist" from Aladin.
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010
THE REASON? THE REASON?
We conclude that eye and brain working We conclude that eye and brain working in concert, we always give more in concert, we always give more accurate results than any other accurate results than any other synthetic method based on synthetic method based on mathematical calculations. The high mathematical calculations. The high precision of “Reduc", similar to that precision of “Reduc", similar to that achieved manually with "Dist", we are achieved manually with "Dist", we are pretty sure that is due to the "human pretty sure that is due to the "human component " that we put into the component " that we put into the software when we mark the photocentric software when we mark the photocentric star manually.star manually.
O.A.N.L. Barcelona 2010O.A.N.L. Barcelona 2010