Orbit Fit and Astrometric record for 471931

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 471931    
# Created Sun Dec 17 02:36:52 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting  115 observations of  116
# Arc:   5.07y
# First observation: 2012/08/21
#  Last observation: 2017/09/15
# Chi-squared of fit:   257.67 DOF:  224 RMS:  0.26
# Min/Max residuals:    -1.37    1.17
# Exact a, adot, b, bdot, g, gdot:
  2.394027E-05  1.005750E-01 -1.520655E-05 -6.296504E-02  6.821074E-02 -7.198737E-03
# Covariance matrix:
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00  0.0000E+00
#      lat0       lon0       xBary       yBary       zBary        JD0
   10.831154  -35.005486   -0.061020    0.189618   -0.991139  2456160.964838
# Heliocentric elements and errors
Epoch:              2456160.5000  =  2012/08/21
Mean Anomaly:          348.89664 +/-     0.000
Argument of Peri:      178.70694 +/-     0.000
Long of Asc Node:      160.89805 +/-     0.000
Inclination:            33.50969 +/-     0.000
Eccentricity:         0.21001752 +/-    0.0000
Semi-Major Axis:     19.65925876 +/-    0.0000
Time of Perihelion: 2457142.4762 +/-       0.0
Perihelion:          15.53047000 +/-    0.0000
Aphelion:            23.78804752 +/-    0.0000
Period (y)               87.1684 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.65828258 +/-    0.0000
Ecliptic Y           -8.78666715 +/-    0.0000
Ecliptic Z            2.75473984 +/-    0.0000
Ecliptic XDOT         0.00246667 +/-    0.0000
Ecliptic YDOT         0.00319972 +/-    0.0000
Ecliptic ZDOT        -0.00253645 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   15.65333446 +/-    0.0000
Geocenter to KBO     14.66051009 +/-    0.0000
# Hcoef:  9.23

The following table shows the complete astrometric record for 471931. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (471931) followed by the observatory code and reference code for the source of the astrometry.

2012 08  21.46406  21 34 39.982  -02 57 51.27  21.5g 471931    F51  C~1vX1      
2012 08  21.47529  21 34 39.888  -02 57 52.87  21.7g 471931    F51  C~1vX1      
2012 08  21.48637  21 34 39.751  -02 57 53.68  21.2r 471931    F51  C~1vX1      
2012 08  21.49682  21 34 39.643  -02 57 54.41  21.2r 471931    F51  C~1vX1      
2012 08  24.18636  21 34 11.24   -03 02 14.9   20.8V 471931    691  C~0vIJ      
2012 08  24.20152  21 34 11.07   -03 02 16.5   21.0V 471931    691  C~0vIJ      
2012 08  24.21668  21 34 10.95   -03 02 18.9   21.0V 471931    691  C~0vIJ      
2013 05  16.56455  22 08 43.624  -03 20 40.94  21.8w 471931    F51  C~1vX1      
2013 05  16.56980  22 08 43.658  -03 20 40.37  21.4w 471931    F51  C~1vX1      
2013 05  16.57506  22 08 43.671  -03 20 40.26  21.6w 471931    F51  C~1vX1      
2013 05  16.58031  22 08 43.699  -03 20 39.86  21.9w 471931    F51  C~1vX1      
2013 05  20.58620  22 09 03.296  -03 19 10.91  21.4w 471931    F51  C~1vX1      
2013 05  20.59147  22 09 03.314  -03 19 10.91  21.6w 471931    F51  C~1vX1      
2013 05  20.59673  22 09 03.336  -03 19 10.83  21.5w 471931    F51  C~1vX1      
2013 05  20.60199  22 09 03.365  -03 19 10.53  21.4w 471931    F51  C~1vX1      
2013 06  20.55910  22 09 30.014  -03 20 03.62  21.4w 471931    F51  C@0614      
2013 06  20.57213  22 09 29.978  -03 20 03.95  21.6w 471931    F51  C~1vX1      
2013 06  20.58517  22 09 29.944  -03 20 04.21  21.4w 471931    F51  C~1vX1      
2013 06  20.59821  22 09 29.915  -03 20 04.63  21.8w 471931    F51  C@0614      
2013 08  08.51606  22 03 42.32   -04 08 05.1   20.9  471931    F51  C~0tcg      
2013 08  08.52677  22 03 42.19   -04 08 05.9   21.3  471931    F51  C~0tcg      
2013 08  12.44749  22 03 01.580  -04 13 58.49  21.1w 471931    F51  C@0614      
2013 08  12.46303  22 03 01.414  -04 13 59.94  21.1w 471931    F51  C@0614      
2013 08  12.47804  22 03 01.248  -04 14 01.30  21.2w 471931    F51  C@0614      
2013 08  12.49300  22 03 01.091  -04 14 02.70  21.1w 471931    F51  C@0614      
2013 08  15.196478 22 02 32.64   -04 18 12.8   21.1  471931    W86  C~0tcg      
2013 08  15.200128 22 02 32.60   -04 18 13.0   21.3  471931    W86  C~0tcg      
2013 08  15.203766 22 02 32.56   -04 18 13.3   21.4  471931    W86  C~0tcg      
2013 08  15.207403 22 02 32.52   -04 18 13.7   21.1  471931    W86  C~0tcg      
2013 08  15.211039 22 02 32.48   -04 18 14.1   21.1  471931    W86  C~0tcg      
2013 08  15.214679 22 02 32.44   -04 18 14.4   21.0  471931    W86  C~0tcg      
2013 08  15.218318 22 02 32.41   -04 18 14.8   21.2  471931    W86  C~0tcg      
2013 08  15.218377 22 02 32.42   -04 18 15.4   20.8V 471931    H21  C~0tcg      
2013 08  15.223933 22 02 32.37   -04 18 15.5   20.6V 471931    H21  C~0tcg      
2013 08  15.228696 22 02 32.31   -04 18 16.4   20.8V 471931    H21  C~0tcg      
2013 08  15.239011 22 02 32.18   -04 18 17.4   20.9V 471931    H21  C~0tcg      
2013 08  15.68917  22 02 27.42   -04 18 58.9         471931    Q62  C~0tcg      
2013 08  15.69163  22 02 27.36   -04 18 58.9         471931    Q62  C~0tcg      
2013 08  15.69408  22 02 27.31   -04 18 58.6   20.7V 471931    Q62  C~0tcg      
2013 08  17.45457  22 02 08.694  -04 21 46.63  20.7  471931    F51  C~0tcg      
2013 08  17.46595  22 02 08.553  -04 21 47.50  20.7  471931    F51  C~0tcg      
2013 08  18.44715  22 01 58.143  -04 23 21.54  20.7i 471931    F51  C~0xS1      
2013 08  18.45783  22 01 57.993  -04 23 22.40  20.7i 471931    F51  C~0xS1      
2013 08  30.53894  21 59 49.65   -04 43 16.5   21.0R 471931    474  C~0twb      
2013 08  30.54253  21 59 49.64   -04 43 17.2   20.8R 471931    474  C~0twb      
2013 08  30.56337  21 59 49.36   -04 43 18.6   21.1R 471931    474  C~0twb      
2013 08  30.56699  21 59 49.31   -04 43 19.4   21.4R 471931    474  C~0twb      
2013 09  02.50219  21 59 18.78   -04 48 17.9   21.1R 471931    474  C~0twb      
2013 09  02.50936  21 59 18.71   -04 48 18.6   20.9R 471931    474  C~0twb      
2013 09  02.55664  21 59 18.20   -04 48 23.6   20.9R 471931    474  C~0twb      
2013 09  02.56204  21 59 18.11   -04 48 23.7   21.4R 471931    474  C~0twb      
2013 09  05.40289  21 58 49.06   -04 53 14.4   21.1R 471931    474  C~0twb      
2013 09  05.41009  21 58 48.99   -04 53 15.0   20.8R 471931    474  C~0twb      
2013 09  05.43345  21 58 48.75   -04 53 17.3   21.2R 471931    474  C~0twb      
2013 09  05.44063  21 58 48.64   -04 53 18.3   20.6R 471931    474  C~0twb      
2013 09  26.132502 21 55 41.30   -05 28 07.8   21.1V 471931    H21  C~0vIJ      
2013 09  26.141241 21 55 41.24   -05 28 08.6   21.2V 471931    H21  C~0vIJ      
2013 09  26.150628 21 55 41.16   -05 28 08.9   21.0V 471931    H21  C~0vIJ      
2013 09  27.30972  21 55 32.369  -05 30 01.88  21.2w 471931    F51  C@0614      
2013 09  27.32397  21 55 32.252  -05 30 03.39  21.4w 471931    F51  C@0614      
2013 09  27.33820  21 55 32.140  -05 30 04.67  21.4w 471931    F51  C@0614      
2013 09  28.13203  21 55 26.29   -05 31 22.0   20.8R 471931    926  C~0uw5      
2013 09  28.16033  21 55 26.09   -05 31 24.3   21.0R 471931    926  C~0uw5      
2013 09  28.18904  21 55 25.82   -05 31 27.2   21.2R 471931    926  C~0uw5      
2013 10  05.40546  21 54 37.58   -05 42 43.1   20.9R 471931    474  C~0vIJ      
2013 10  05.40898  21 54 37.59   -05 42 43.6   21.4R 471931    474  C~0vIJ      
2013 10  05.47074  21 54 37.20   -05 42 49.4   21.2R 471931    474  C~0vIJ      
2013 10  05.47427  21 54 37.25   -05 42 51.4   20.4R 471931    474  C~0vIJ      
2013 11  02.37099  21 53 14.62   -06 18 46.0   21.0R 471931    474  C~0wco      
2013 11  02.37803  21 53 14.61   -06 18 46.4   21.2R 471931    474  C~0wco      
2013 11  03.36763  21 53 15.07   -06 19 46.3   21.2R 471931    474  C~0wco      
2013 11  03.37482  21 53 15.03   -06 19 46.9   20.9R 471931    474  C~0wco      
2014 06  24.52817  22 35 21.996  -04 45 22.18  21.4w 471931    F51  C~1vX1      
2014 06  24.54057  22 35 21.972  -04 45 22.62  21.2w 471931    F51  C~1vX1      
2014 06  24.55222  22 35 21.949  -04 45 22.96  21.5w 471931    F51  C~1vX1      
2014 06  24.56390  22 35 21.931  -04 45 23.37  21.4w 471931    F51  C~1vX1      
2014 08  02.31076  22 31 39.43   -05 25 29.8   20.8R 471931    H36  C~1769      
2014 08  02.35538  22 31 39.05   -05 25 34.7   20.6R 471931    H36  C~1769      
2014 08  16.51645  22 29 22.15   -05 47 16.3   20.3R 471931    474  C~17UZ      
2014 08  16.52700  22 29 22.02   -05 47 17.4   20.7R 471931    474  C~17UZ      
2014 08  16.55279  22 29 21.79   -05 47 20.1   20.3R 471931    474  C~17UZ      
2014 08  16.55983  22 29 21.71   -05 47 20.6   20.3R 471931    474  C~17UZ      
2014 08  22.42842  22 28 20.694  -05 57 01.86  21.1w 471931    F51  C~1vX1      
2014 08  22.44017  22 28 20.568  -05 57 03.08  21.1w 471931    F51  C~1vX1      
2014 08  22.45190  22 28 20.440  -05 57 04.20  21.2w 471931    F51  C~1vX1      
2014 08  22.46358  22 28 20.316  -05 57 05.37  21.1w 471931    F51  C~1vX1      
2014 09  11.40320  22 24 50.830  -06 31 12.61  20.7i 471931    F51  C~1vX1      
2014 09  11.41481  22 24 50.709  -06 31 13.88  20.7i 471931    F51  C~1vX1      
2014 09  11.42641  22 24 50.585  -06 31 15.06  20.9i 471931    F51  C~1vX1      
2014 09  11.43797  22 24 50.465  -06 31 16.26  20.7i 471931    F51  C~1vX1      
2014 09  16.31210  22 24 01.863  -06 39 34.44  21.2w 471931    F51  C~1vX1      
2014 09  16.32473  22 24 01.736  -06 39 35.72  21.3w 471931    F51  C~1vX1      
2014 09  16.33739  22 24 01.615  -06 39 36.97  21.2w 471931    F51  C~1vX1      
2014 09  16.35003  22 24 01.484  -06 39 38.33  21.2w 471931    F51  C~1vX1      
2014 09  24.38476  22 22 46.218  -06 52 59.87  21.2w 471931    F51  C~1vX1      
2014 09  24.39765  22 22 46.098  -06 53 01.11  21.3w 471931    F51  C~1vX1      
2014 09  24.41049  22 22 45.993  -06 53 02.39  21.4w 471931    F51  C~1vX1      
2014 09  24.42332  22 22 45.862  -06 53 03.97  21.5w 471931    F51  C~1vX1      
2014 10  28.32580  22 19 21.893  -07 39 47.73  21.6w 471931    F51  C~1vX1      
2014 10  28.33701  22 19 21.867  -07 39 48.46  21.4w 471931    F51  C~1vX1      
2014 10  28.34822  22 19 21.829  -07 39 49.04  21.5w 471931    F51  C~1vX1      
2014 10  28.35942  22 19 21.797  -07 39 49.86  21.3w 471931    F51  C~1vX1      
2014 11  17.25096  22 19 18.935  -07 56 13.56  21.4w 471931    F51  C~1vX1      
2014 11  17.26330  22 19 18.950  -07 56 14.04  21.5w 471931    F51  C~1vX1      
2014 11  17.27562  22 19 18.995  -07 56 14.22  21.7w 471931    F51  C~1vX1      
2014 11  17.28799  22 19 19.004  -07 56 15.07  21.8w 471931    F51  C~1vX1      
2015 07  23.46491  22 59 51.216  -06 32 42.33  21.2w 471931    F51  C~1vX1      
2015 07  23.47651  22 59 51.132  -06 32 43.20  21.2w 471931    F51  C~1vX1      
2015 07  23.48849  22 59 51.062  -06 32 44.20  21.3w 471931    F51  C~1vX1      
2015 07  23.50037  22 59 50.979  -06 32 45.14  21.3w 471931    F51  C~1vX1      
2015 07  26.45704  22 59 31.716  -06 36 44.36  20.8i 471931    F51  C~1vX1      
2015 07  26.46874  22 59 31.643  -06 36 45.19  20.9i 471931    F51  C~1vX1      
2015 07  26.49245  22 59 31.465  -06 36 47.23  20.7i 471931    F51  C~1vX1      
2017 09  15.41041  23 46 09.948  -10 27 50.97  21.0w 471931    F51  C~2Kte      
2017 09  15.42163  23 46 09.818  -10 27 52.44  21.2w 471931    F51  C~2Kte      
2017 09  15.43272  23 46 09.704  -10 27 53.34  21.1w 471931    F51  C~2Kte      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

  1   0.0000      0.00 (  -0.45)      0.00 (  -4.45)
  2   0.0000      0.00     0.38       0.00    -0.37
  3   0.0001      0.00     0.13       0.00    -0.12
  4   0.0001      0.00     0.21       0.00     0.16
  5   0.0075      0.00     0.14       0.00     0.48
  6   0.0075      0.00     0.02       0.00     0.36
  7   0.0075      0.00     0.65       0.00    -0.56
  8   0.7340      0.00     0.04       0.00    -0.52
  9   0.7340      0.00     0.14       0.00    -0.08
 10   0.7340      0.00    -0.07       0.00    -0.10
 11   0.7341      0.00    -0.06       0.00     0.17
 12   0.7450      0.00     0.05       0.00    -0.08
 13   0.7450      0.00    -0.01       0.00    -0.18
 14   0.7451      0.00    -0.02       0.00    -0.20
 15   0.7451      0.00     0.08       0.00    -0.01
 16   0.8298      0.00     0.06       0.00     0.03
 17   0.8299      0.00     0.08       0.00     0.02
 18   0.8299      0.00     0.14       0.00     0.08
 19   0.8299      0.00     0.27       0.00    -0.02
 20   0.9639      0.00    -0.36       0.00    -0.53
 21   0.9639      0.00    -0.62       0.00    -0.38
 22   0.9746      0.00     0.14       0.00     0.00
 23   0.9747      0.00     0.15       0.00    -0.02
 24   0.9747      0.00     0.07       0.00    -0.01
 25   0.9748      0.00     0.12       0.00    -0.04
 26   0.9822      0.00     0.12       0.00    -0.04
 27   0.9822      0.00     0.11       0.00     0.10
 28   0.9822      0.00     0.10       0.00     0.14
 29   0.9822      0.00     0.09       0.00     0.08
 30   0.9822      0.00     0.08       0.00     0.02
 31   0.9822      0.00     0.07       0.00     0.06
 32   0.9822      0.00     0.21       0.00     0.00
 33   0.9822      0.00     0.23       0.00     0.08
 34   0.9822      0.00     0.37       0.00     0.50
 35   0.9822      0.00     0.24       0.00     0.05
 36   0.9823      0.00    -0.04       0.00     0.02
 37   0.9835      0.00     0.35       0.00     0.09
 38   0.9835      0.00    -0.15       0.00     0.32
 39   0.9835      0.00    -0.50       0.00     0.85
 40   0.9883      0.00     0.23       0.00    -0.05
 41   0.9884      0.00    -0.03       0.00     0.17
 42   0.9911      0.00     0.36       0.00    -0.13
 43   0.9911      0.00    -0.15       0.00     0.03
 44   1.0242      0.00     0.22       0.00     0.40
 45   1.0242      0.00     0.64       0.00     0.06
 46   1.0242      0.00    -0.23       0.00     0.77
 47   1.0242      0.00    -0.40       0.00     0.34
 48   1.0323      0.00     0.06       0.00     0.21
 49   1.0323      0.00     0.15       0.00     0.24
 50   1.0324      0.00    -0.05       0.00     0.06
 51   1.0324      0.00    -0.55       0.00     0.51
 52   1.0402      0.00    -0.15       0.00     0.07
 53   1.0402      0.00    -0.08       0.00     0.21
 54   1.0403      0.00    -0.07       0.00     0.30
 55   1.0403      0.00    -0.61       0.00     0.04
 56   1.0970      0.00     0.49       0.00    -0.00
 57   1.0970      0.00     0.62       0.00     0.05
 58   1.0970      0.00     0.52       0.00     0.66
 59   1.1002      0.00     0.21       0.00     0.09
 60   1.1002      0.00     0.10       0.00    -0.04
 61   1.1003      0.00     0.07       0.00     0.05
 62   1.1024      0.00     0.25       0.00    -0.55
 63   1.1025      0.00     0.45       0.00    -0.12
 64   1.1026      0.00    -0.35       0.00    -0.25
 65   1.1224      0.00    -0.26       0.00     0.65
 66   1.1224      0.00     0.22       0.00     0.48
 67   1.1225      0.00     0.09       0.00     0.31
 68   1.1225      0.00     1.17       0.00    -1.37
 69   1.1989      0.00     0.02       0.00     0.22
 70   1.1989      0.00    -0.14       0.00     0.25
 71   1.2017      0.00     0.29       0.00     0.04
 72   1.2017      0.00    -0.36       0.00    -0.13
 73   1.8400      0.00    -0.08       0.00     0.05
 74   1.8400      0.00    -0.06       0.00     0.05
 75   1.8401      0.00    -0.04       0.00     0.12
 76   1.8401      0.00     0.06       0.00     0.12
 77   1.9462      0.00     0.07       0.00     0.71
 78   1.9463      0.00     0.49       0.00    -0.35
 79   1.9851      0.00     0.01       0.00     0.15
 80   1.9851      0.00    -0.29       0.00     0.08
 81   1.9852      0.00     0.29       0.00    -0.11
 82   1.9852      0.00     0.19       0.00     0.08
 83   2.0013      0.00     0.20       0.00     0.09
 84   2.0013      0.00     0.20       0.00     0.05
 85   2.0013      0.00     0.18       0.00     0.11
 86   2.0014      0.00     0.20       0.00     0.11
 87   2.0560      0.00     0.22       0.00     0.11
 88   2.0560      0.00     0.21       0.00     0.03
 89   2.0560      0.00     0.16       0.00     0.04
 90   2.0561      0.00     0.16       0.00     0.03
 91   2.0694      0.00     0.22       0.00     0.09
 92   2.0694      0.00     0.21       0.00     0.09
 93   2.0695      0.00     0.29       0.00     0.13
 94   2.0695      0.00     0.22       0.00     0.05
 95   2.0915      0.00     0.11       0.00     0.22
 96   2.0915      0.00     0.08       0.00     0.24
 97   2.0916      0.00     0.26       0.00     0.21
 98   2.0916      0.00     0.05       0.00    -0.12
 99   2.1844      0.00     0.06       0.00    -0.01
100   2.1845      0.00     0.13       0.00    -0.03
101   2.1845      0.00     0.02       0.00     0.10
102   2.1845      0.00     0.00       0.00    -0.01
103   2.2390      0.00    -0.09       0.00     0.04
104   2.2390      0.00    -0.25       0.00    -0.01
105   2.2390      0.00     0.04       0.00     0.24
106   2.2391      0.00    -0.21       0.00    -0.18
107   2.9186      0.00     0.22       0.00     0.05
108   2.9186      0.00     0.09       0.00     0.10
109   2.9186      0.00     0.20       0.00     0.05
110   2.9186      0.00     0.11       0.00     0.05
111   2.9267      0.00     0.24       0.00     0.05
112   2.9268      0.00     0.37       0.00     0.19
113   2.9268      0.00     0.19       0.00     0.12
114   5.0676      0.00     0.09       0.00     0.07
115   5.0676      0.00    -0.05       0.00    -0.20
116   5.0677      0.00     0.02       0.00     0.09

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

471931    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        19.583    19.583    19.583
ecceobj         0.209     0.209     0.209
incobj         33.519    33.519    33.519
qmin           15.295    15.270    15.246
qmax           24.137    24.285    24.308
amean          19.642    19.712    19.704
amin           19.466    19.569    19.539
amax           19.795    20.062    20.175
emean           0.193     0.210     0.197
emin            0.096     0.181     0.116
emax            0.220     0.225     0.226
imean          33.125    32.914    33.075
imin           32.573    32.573    32.573
imax           34.196    33.253    34.219
excite_mean     0.580     0.583     0.581
fracstop        0.021     0.016     0.020
cjmean          2.861     2.859     2.859

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       225.5     219.7     224.5
kozaiamp         39.1      40.8      37.9