Orbit Fit and Astrometric record for 559801

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: 559801    
# Created Fri Dec  3 02:08:12 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting    114 observations of    114
# Arc:   9.21y
# First observation: 2012/03/29
#  Last observation: 2021/06/13
# Chi-squared of fit:    67.83 DOF:    222 RMS:  0.14
# Min/Max residuals:    -0.47    0.84
# Exact a, adot, b, bdot, g, gdot:
  1.923306E-05  3.255291E-02 -2.723359E-06 -5.494414E-03  2.723911E-02 -5.734580E-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
   17.182001 -152.017632    0.324737    0.279904   -0.905287  2456015.964176
# Heliocentric elements and errors
Epoch:              2456016.5000  =  2012/03/30
Mean Anomaly:          349.05684 +/-     0.000
Argument of Peri:      151.56421 +/-     0.000
Long of Asc Node:       87.21156 +/-     0.000
Inclination:            19.21674 +/-     0.000
Eccentricity:         0.46529644 +/-    0.0000
Semi-Major Axis:     66.80578416 +/-    0.0000
Time of Perihelion: 2462079.1146 +/-       0.0
Perihelion:          35.72129075 +/-    0.0000
Aphelion:            97.89027757 +/-    0.0000
Period (y)              546.0461 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -31.95915393 +/-    0.0000
Ecliptic Y          -16.61324089 +/-    0.0000
Ecliptic Z           10.84492237 +/-    0.0000
Ecliptic XDOT         0.00187254 +/-    0.0000
Ecliptic YDOT        -0.00270377 +/-    0.0000
Ecliptic ZDOT        -0.00069778 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.61660722 +/-    0.0000
Geocenter to KBO     36.71207346 +/-    0.0000
# Hcoef:  6.44

The following table shows the complete astrometric record for 559801. 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 (559801) followed by the observatory code and reference code for the source of the astrometry.

2012 03  29.46341  14 08 18.585  +05 19 13.19  22.6G 559801    F51  C~2qbk      
2012 03  29.46474  14 08 18.585  +05 19 13.59  22.1w 559801    F51  C~1vYL      
2012 03  29.47772  14 08 18.534  +05 19 13.69  22.1G 559801    F51  C~2qbk      
2012 03  29.47907  14 08 18.519  +05 19 13.76  22.1w 559801    F51  C~1vYL      
2012 03  29.49217  14 08 18.466  +05 19 14.12  22.6G 559801    F51  C~2qbk      
2012 03  29.49351  14 08 18.465  +05 19 14.12  22.1w 559801    F51  C~1vYL      
2012 03  29.50669  14 08 18.396  +05 19 14.93  21.6G 559801    F51  C~2qbk      
2012 03  29.50803  14 08 18.397  +05 19 14.72  22.2w 559801    F51  C~1vYL      
2012 04  26.43118  14 06 04.090  +05 31 47.44  22.2G 559801    F51  C~2qbk      
2012 04  27.37783  14 05 59.383  +05 32 06.65  21.9G 559801    F51  C~2qbk      
2012 04  27.38985  14 05 59.319  +05 32 06.94  22.3G 559801    F51  C~2qbk      
2013 04  22.35955  14 13 01.091  +04 32 39.43  22.3G 559801    F51  C~2qbk      
2014 01  21.65491  14 23 14.250  +02 52 14.42  23.2G 559801    F51  C~2qbk      
2014 04  05.43282  14 21 03.581  +03 26 28.36  22.4w 559801    F51  C~1vYL      
2014 04  05.44505  14 21 03.524  +03 26 28.70  22.1w 559801    F51  C~1vYL      
2014 04  05.45731  14 21 03.464  +03 26 29.12  22.4w 559801    F51  C~1vYL      
2014 04  05.46957  14 21 03.399  +03 26 29.54  22.1w 559801    F51  C~1vYL      
2014 05  05.44024  14 18 35.820  +03 38 31.31  22.3G 559801    F51  C~2qbk      
2014 05  25.42353  14 17 01.542  +03 42 07.96  21.9G 559801    F51  C~2qbk      
2014 05  31.42079  14 16 36.461  +03 42 21.89  22.5G 559801    F51  C~2qbk      
2014 07  02.27052  14 15 05.189  +03 36 40.54  22.2G 559801    F51  C~2qbk      
2014 07  02.29630  14 15 05.093  +03 36 39.58  22.6G 559801    F51  C~2qbk      
2014 07  02.30912  14 15 05.064  +03 36 39.40  22.4G 559801    F51  C~2qbk      
2015 02  16.56248  14 30 03.670  +02 02 57.69  22.1w 559801    F51  C~1vYL      
2015 02  16.57589  14 30 03.658  +02 02 58.14  22.1w 559801    F51  C~1vYL      
2015 02  16.58925  14 30 03.643  +02 02 58.39  22.1w 559801    F51  C~1vYL      
2015 02  16.60266  14 30 03.631  +02 02 58.64  22.5w 559801    F51  C~1vYL      
2015 03  22.50668  14 28 45.335  +02 19 54.97  22.3w 559801    F51  C~1vYL      
2015 03  22.52031  14 28 45.299  +02 19 55.28  22.1w 559801    F51  C~1vYL      
2015 03  22.53407  14 28 45.230  +02 19 55.86  22.2w 559801    F51  C~1vYL      
2015 03  22.54779  14 28 45.179  +02 19 56.13  22.2w 559801    F51  C~1vYL      
2015 04  12.51795  14 27 14.583  +02 30 24.11  21.9G 559801    F51  C~2qbk      
2015 04  13.42982  14 27 10.211  +02 30 49.60  22.1w 559801    F51  C~1vYL      
2015 04  13.44414  14 27 10.127  +02 30 50.07  22.0w 559801    F51  C~1vYL      
2015 04  13.45869  14 27 10.065  +02 30 50.39  22.0w 559801    F51  C~1vYL      
2015 04  13.47326  14 27 09.980  +02 30 50.73  21.9w 559801    F51  C~1vYL      
2015 04  23.49707  14 26 20.402  +02 35 05.57  22.1w 559801    F51  C~1vYL      
2015 04  23.49774  14 26 20.396  +02 35 05.47  21.9w 559801    F51  C~1vYL      
2015 04  23.51133  14 26 20.323  +02 35 05.85  21.9w 559801    F51  C~1vYL      
2015 04  23.51199  14 26 20.315  +02 35 06.03  22.2w 559801    F51  C~1vYL      
2015 04  23.52553  14 26 20.251  +02 35 06.12  22.0w 559801    F51  C~1vYL      
2015 04  23.52618  14 26 20.251  +02 35 06.24  22.3w 559801    F51  C~1vYL      
2015 04  23.53979  14 26 20.171  +02 35 06.60  22.0w 559801    F51  C~1vYL      
2015 05  15.43528  14 24 30.435  +02 41 38.17  22.4G 559801    F51  C~2qbk      
2015 05  15.44737  14 24 30.394  +02 41 38.47  21.7G 559801    F51  C~2qbk      
2015 05  15.45947  14 24 30.333  +02 41 39.06  22.2G 559801    F51  C~2qbk      
2015 05  15.47166  14 24 30.272  +02 41 39.02  22.0G 559801    F51  C~2qbk      
2015 06  22.31962  14 22 03.031  +02 41 15.19  21.8i 559801    F51  C~1vYL      
2015 06  22.33286  14 22 02.995  +02 41 14.93  21.8i 559801    F51  C~1vYL      
2015 06  22.34610  14 22 02.965  +02 41 15.03  21.6i 559801    F51  C~1vYL      
2016 01  20.64813  14 36 19.133  +00 55 27.78  22.6G 559801    F51  C~2qbk      
2016 02  05.64097  14 36 43.581  +00 59 35.80  21.9G 559801    F51  C~2qbk      
2016 02  05.64825  14 36 43.590  +00 59 35.80  22.1G 559801    F51  C~2qbk      
2016 02  05.65553  14 36 43.603  +00 59 35.92  21.9G 559801    F51  C~2qbk      
2016 02  05.66285  14 36 43.588  +00 59 35.83  22.1G 559801    F51  C~2qbk      
2016 03  11.60619  14 36 03.755  +01 14 50.84  22.3G 559801    F51  C~2qbk      
2016 03  11.61731  14 36 03.718  +01 14 51.31  22.0G 559801    F51  C~2qbk      
2016 03  11.62846  14 36 03.714  +01 14 51.59  22.5G 559801    F51  C~2qbk      
2016 03  11.63964  14 36 03.659  +01 14 51.73  22.2G 559801    F51  C~2qbk      
2016 04  01.47172  14 34 48.403  +01 25 26.60  21.5G 559801    F51  C~2qbk      
2016 04  01.48352  14 34 48.361  +01 25 26.91  22.1G 559801    F51  C~2qbk      
2016 04  01.49538  14 34 48.298  +01 25 27.14  21.8G 559801    F51  C~2qbk      
2016 04  01.50730  14 34 48.259  +01 25 27.50  21.6G 559801    F51  C~2qbk      
2016 05  03.43187  14 32 13.284  +01 38 46.68  21.3G 559801    F51  C~2qbk      
2016 05  03.44559  14 32 13.196  +01 38 46.94  22.2G 559801    F51  C~2qbk      
2016 05  23.40796  14 30 35.105  +01 43 07.90  22.0G 559801    F51  C~2qbk      
2016 06  03.36076  14 29 47.408  +01 43 47.40  22.1G 559801    F51  C~2qbk      
2016 06  03.37242  14 29 47.368  +01 43 47.28  22.4G 559801    F51  C~2qbk      
2016 06  03.38402  14 29 47.317  +01 43 47.21  22.0G 559801    F51  C~2qbk      
2016 06  03.39564  14 29 47.277  +01 43 47.20  22.3G 559801    F51  C~2qbk      
2016 06  22.34093  14 28 42.565  +01 41 46.87  22.5G 559801    F51  C~2qbk      
2016 07  01.30651  14 28 21.769  +01 39 26.65  21.8G 559801    F51  C~2qbk      
2016 07  17.27899  14 28 03.062  +01 33 10.76  22.3G 559801    F51  C~2qbk      
2016 07  17.30223  14 28 03.074  +01 33 10.28  22.1G 559801    F51  C~2qbk      
2016 07  17.31386  14 28 03.059  +01 33 09.97  21.8G 559801    F51  C~2qbk      
2017 03  24.51342  14 42 11.259  +00 20 47.92  22.2G 559801    F51  C~2qbk      
2017 04  03.57360  14 41 30.752  +00 25 43.65  22.8G 559801    F51  C~2qbk      
2017 04  03.58587  14 41 30.691  +00 25 43.99  22.1G 559801    F51  C~2qbk      
2017 04  03.59812  14 41 30.627  +00 25 44.26  22.2G 559801    F51  C~2qbk      
2017 04  03.61038  14 41 30.578  +00 25 44.58  22.4G 559801    F51  C~2qbk      
2018 03  17.57132  14 49 28.171  -00 43 38.39  22.1G 559801    F51  C~2qbk      
2018 03  17.57454  14 49 28.158  -00 43 38.07  22.2G 559801    F51  C~2qbk      
2018 03  17.58377  14 49 28.140  -00 43 37.98  22.2G 559801    F51  C~2qbk      
2018 03  17.58700  14 49 28.136  -00 43 37.78  22.1G 559801    F51  C~2qbk      
2018 03  17.59618  14 49 28.093  -00 43 37.40  22.1G 559801    F51  C~2qbk      
2018 03  17.59940  14 49 28.085  -00 43 37.37  22.3G 559801    F51  C~2qbk      
2018 03  17.60860  14 49 28.046  -00 43 37.05  22.5G 559801    F51  C~2qbk      
2018 03  17.61183  14 49 28.043  -00 43 37.07  22.2G 559801    F51  C~2qbk      
2020 05  13.35873  14 59 06.763  -02 24 04.74  21.6w 559801    F52  C~3sus      
2020 05  13.38234  14 59 06.634  -02 24 04.58  21.7w 559801    F52  C~3sus      
2020 05  13.39416  14 59 06.565  -02 24 04.02  22.0w 559801    F52  C~3sus      
2021 04  09.536038 15 09 01.378  -03 38 10.18  22.0w 559801    F51  C~4i8z      
2021 04  09.548095 15 09 01.316  -03 38 09.82  21.9w 559801    F51  C~4i8z      
2021 04  09.560119 15 09 01.243  -03 38 09.65  22.0w 559801    F51  C~4i8z      
2021 05  13.387200 15 06 12.353  -03 26 23.18  21.8w 559801    F51  C~4n8V      
2021 05  13.400279 15 06 12.276  -03 26 22.94  22.1w 559801    F51  C~4n8V      
2021 05  13.413331 15 06 12.203  -03 26 22.86  22.1w 559801    F51  C~4n8V      
2021 05  13.426390 15 06 12.126  -03 26 22.61  22.1w 559801    F51  C~4n8V      
2021 05  31.289501 15 04 41.479  -03 23 10.38  21.8w 559801    F51  C~4tuO      
2021 05  31.301453 15 04 41.419  -03 23 10.32  22.0w 559801    F51  C~4tuO      
2021 05  31.313398 15 04 41.360  -03 23 10.08  22.1w 559801    F51  C~4tuO      
2021 05  31.325324 15 04 41.307  -03 23 10.20  22.0w 559801    F51  C~4tuO      
2021 06  02.271583 15 04 32.034  -03 22 59.11  21.9w 559801    F51  C~4tuO      
2021 06  02.281885 15 04 31.974  -03 22 58.79  22.0w 559801    F51  C~4tuO      
2021 06  02.292205 15 04 31.927  -03 22 59.01  21.9w 559801    F51  C~4tuO      
2021 06  02.302549 15 04 31.884  -03 22 58.88  22.0w 559801    F51  C~4tuO      
2021 06  07.351454 15 04 08.628  -03 22 40.24  22.0w 559801    F51  C~4tuO      
2021 06  07.362631 15 04 08.584  -03 22 40.40  22.2w 559801    F51  C~4tuO      
2021 06  07.373837 15 04 08.514  -03 22 40.30  21.9w 559801    F51  C~4tuO      
2021 06  07.385000 15 04 08.466  -03 22 40.25  21.9w 559801    F51  C~4tuO      
2021 06  13.283019 15 03 43.042  -03 22 37.02  22.2w 559801    F51  C~4tuO      
2021 06  13.296009 15 03 42.991  -03 22 37.28  22.1w 559801    F51  C~4tuO      
2021 06  13.309006 15 03 42.920  -03 22 37.10  22.0w 559801    F51  C~4tuO      
2021 06  13.322037 15 03 42.885  -03 22 37.21  22.3w 559801    F51  C~4tuO      

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    -0.10       0.00    -0.07
     2   0.0000      0.00    -0.01       0.00     0.29
     3   0.0000      0.00     0.10       0.00    -0.02
     4   0.0000      0.00    -0.03       0.00     0.01
     5   0.0001      0.00     0.05       0.00    -0.05
     6   0.0001      0.00     0.13       0.00    -0.09
     7   0.0001      0.00    -0.02       0.00     0.30
     8   0.0001      0.00     0.09       0.00     0.04
     9   0.0766      0.00    -0.04       0.00    -0.07
    10   0.0792      0.00    -0.00       0.00    -0.15
    11   0.0792      0.00    -0.05       0.00    -0.10
    12   1.0647      0.00     0.00       0.00    -0.03
    13   1.8157      0.00    -0.09       0.00     0.02
    14   2.0177      0.00    -0.07       0.00     0.12
    15   2.0177      0.00    -0.07       0.00     0.09
    16   2.0178      0.00    -0.11       0.00     0.15
    17   2.0178      0.00    -0.23       0.00     0.20
    18   2.0999      0.00    -0.06       0.00     0.02
    19   2.1546      0.00     0.08       0.00     0.08
    20   2.1710      0.00    -0.02       0.00    -0.11
    21   2.2582      0.00     0.84       0.00     0.11
    22   2.2583      0.00     0.03       0.00    -0.29
    23   2.2583      0.00    -0.09       0.00    -0.19
    24   2.8860      0.00     0.04       0.00     0.01
    25   2.8860      0.00     0.01       0.00     0.11
    26   2.8860      0.00    -0.05       0.00     0.02
    27   2.8861      0.00    -0.07       0.00    -0.08
    28   2.9789      0.00    -0.02       0.00     0.12
    29   2.9789      0.00     0.22       0.00    -0.00
    30   2.9790      0.00    -0.02       0.00     0.14
    31   2.9790      0.00    -0.00       0.00    -0.02
    32   3.0364      0.00    -0.00       0.00    -0.47
    33   3.0389      0.00     0.06       0.00     0.03
    34   3.0390      0.00    -0.15       0.00     0.11
    35   3.0390      0.00    -0.00       0.00     0.04
    36   3.0390      0.00    -0.20       0.00    -0.02
    37   3.0665      0.00     0.17       0.00     0.08
    38   3.0665      0.00     0.13       0.00    -0.04
    39   3.0665      0.00     0.08       0.00     0.03
    40   3.0665      0.00     0.01       0.00     0.19
    41   3.0666      0.00     0.10       0.00    -0.04
    42   3.0666      0.00     0.15       0.00     0.07
    43   3.0666      0.00    -0.01       0.00     0.11
    44   3.1265      0.00    -0.32       0.00    -0.39
    45   3.1266      0.00    -0.04       0.00    -0.23
    46   3.1266      0.00    -0.06       0.00     0.22
    47   3.1266      0.00    -0.07       0.00     0.03
    48   3.2303      0.00    -0.04       0.00     0.11
    49   3.2303      0.00    -0.05       0.00     0.03
    50   3.2303      0.00     0.04       0.00     0.31
    51   3.8116      0.00     0.09       0.00    -0.18
    52   3.8554      0.00    -0.13       0.00     0.14
    53   3.8554      0.00    -0.06       0.00    -0.00
    54   3.8554      0.00     0.08       0.00    -0.03
    55   3.8554      0.00    -0.21       0.00    -0.26
    56   3.9511      0.00     0.05       0.00    -0.12
    57   3.9511      0.00    -0.02       0.00     0.02
    58   3.9512      0.00     0.41       0.00    -0.04
    59   3.9512      0.00     0.07       0.00    -0.24
    60   4.0082      0.00    -0.14       0.00     0.09
    61   4.0083      0.00     0.01       0.00     0.05
    62   4.0083      0.00    -0.16       0.00    -0.07
    63   4.0083      0.00     0.04       0.00    -0.07
    64   4.0957      0.00     0.28       0.00     0.10
    65   4.0958      0.00     0.03       0.00     0.11
    66   4.1504      0.00     0.07       0.00     0.21
    67   4.1804      0.00    -0.16       0.00     0.08
    68   4.1804      0.00    -0.03       0.00    -0.04
    69   4.1805      0.00    -0.07       0.00    -0.11
    70   4.1805      0.00     0.05       0.00    -0.12
    71   4.2324      0.00     0.02       0.00     0.01
    72   4.2569      0.00    -0.09       0.00     0.06
    73   4.3007      0.00    -0.27       0.00    -0.12
    74   4.3007      0.00     0.08       0.00     0.06
    75   4.3008      0.00    -0.07       0.00     0.08
    76   4.9858      0.00     0.03       0.00    -0.22
    77   5.0133      0.00     0.01       0.00     0.04
    78   5.0133      0.00    -0.09       0.00     0.03
    79   5.0134      0.00    -0.24       0.00    -0.05
    80   5.0134      0.00    -0.17       0.00    -0.09
    81   5.9661      0.00    -0.04       0.00    -0.18
    82   5.9661      0.00    -0.08       0.00     0.05
    83   5.9661      0.00     0.08       0.00    -0.13
    84   5.9661      0.00     0.17       0.00    -0.02
    85   5.9661      0.00    -0.05       0.00     0.10
    86   5.9661      0.00    -0.02       0.00     0.03
    87   5.9662      0.00    -0.17       0.00     0.09
    88   5.9662      0.00    -0.06       0.00    -0.02
    89   8.1229      0.00     0.20       0.00    -0.02
    90   8.1230      0.00     0.13       0.00    -0.21
    91   8.1230      0.00     0.04       0.00     0.18
    92   9.0296      0.00     0.27       0.00    -0.06
    93   9.0297      0.00     0.15       0.00    -0.00
    94   9.0297      0.00    -0.14       0.00    -0.13
    95   9.1223      0.00     0.12       0.00     0.02
    96   9.1223      0.00     0.01       0.00     0.07
    97   9.1224      0.00    -0.04       0.00    -0.05
    98   9.1224      0.00    -0.14       0.00     0.00
    99   9.1713      0.00    -0.03       0.00    -0.01
   100   9.1714      0.00    -0.05       0.00    -0.02
   101   9.1714      0.00    -0.06       0.00     0.15
   102   9.1714      0.00     0.02       0.00    -0.05
   103   9.1768      0.00     0.02       0.00     0.05
   104   9.1768      0.00    -0.14       0.00     0.32
   105   9.1768      0.00    -0.10       0.00     0.05
   106   9.1768      0.00     0.00       0.00     0.13
   107   9.1907      0.00     0.06       0.00     0.12
   108   9.1907      0.00     0.17       0.00    -0.06
   109   9.1907      0.00    -0.11       0.00     0.01
   110   9.1908      0.00    -0.07       0.00     0.04
   111   9.2069      0.00    -0.01       0.00     0.03
   112   9.2069      0.00     0.05       0.00    -0.21
   113   9.2070      0.00    -0.19       0.00    -0.02
   114   9.2070      0.00     0.11       0.00    -0.11

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.

559801    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        66.521    66.520    66.521
ecceobj         0.463     0.463     0.463
incobj         19.210    19.210    19.210
qmin           34.703    34.470    34.269
qmax          101.738   101.802   102.156
amean          67.150    67.165    67.207
amin           66.083    66.072    66.093
amax           68.552    68.599    68.629
emean           0.467     0.470     0.469
emin            0.451     0.454     0.454
emax            0.485     0.487     0.490
imean          17.460    17.258    17.253
imin           16.534    16.438    16.023
imax           18.413    18.093    18.096
excite_mean     0.555     0.556     0.555
fracstop        1.000     1.000     1.000
cjmean          2.968     2.966     2.968

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       189.2     162.5     150.0
kozaiamp        180.0     180.0     179.9