Orbit Fit and Astrometric record for 528381

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: 528381    
# Created Sun Dec 22 02:07:26 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting    116 observations of    116
# Arc:  16.11y
# First observation: 2008/09/24
#  Last observation: 2024/11/02
# Chi-squared of fit:   178.17 DOF:    226 RMS:  0.22
# Min/Max residuals:    -0.79    1.06
# Exact a, adot, b, bdot, g, gdot:
  8.744743E-06  1.555369E-02  5.255932E-06  4.702149E-03  1.794770E-02  7.561932E-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
   12.458676    5.994227    0.076102    0.215493   -0.975300  2454733.671394
# Heliocentric elements and errors
Epoch:              2454734.5000  =  2008/09/25
Mean Anomaly:           19.31221 +/-     0.000
Argument of Peri:      324.99238 +/-     0.000
Long of Asc Node:      330.97282 +/-     0.000
Inclination:            20.74853 +/-     0.000
Eccentricity:         0.57765242 +/-    0.0000
Semi-Major Axis:    100.46226261 +/-    0.0000
Time of Perihelion: 2435004.2618 +/-       0.0
Perihelion:          42.42999387 +/-    0.0000
Aphelion:           158.49453136 +/-    0.0000
Period (y)             1006.9610 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           55.11067073 +/-    0.0000
Ecliptic Y            5.70579325 +/-    0.0000
Ecliptic Z           12.02053996 +/-    0.0000
Ecliptic XDOT         0.00072466 +/-    0.0000
Ecliptic YDOT         0.00246320 +/-    0.0000
Ecliptic ZDOT         0.00094915 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   56.69385764 +/-    0.0000
Geocenter to KBO     55.71709403 +/-    0.0000
# Hcoef:  4.18

The following table shows the complete astrometric record for 528381. 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 (528381) followed by the observatory code and reference code for the source of the astrometry.

2008 09  24.17064  00 01 49.60   +13 47 51.7   21.5R 528381    675  C~0BHs      
2008 09  24.31175  00 01 49.01   +13 47 48.8   22.1R 528381    675  C~0BHs      
2008 09  25.16143  00 01 46.03   +13 47 32.2   21.1R 528381    675  C~0BHs      
2008 09  25.20268  00 01 45.87   +13 47 32.3   21.5R 528381    675  C~0BHs      
2008 10  07.11526  00 01 04.45   +13 43 27.4         528381    675  C~0BHs      
2008 10  29.325628 23 59 55.36   +13 35 05.7   21.6V 528381    645  C~1Fih      
2008 10  29.326457 23 59 55.36   +13 35 05.7   21.3V 528381    645  C~1Fih      
2008 10  29.328945 23 59 55.35   +13 35 05.7   22.5V 528381    645  C~1Fih      
2008 11  19.07748  23 59 09.11   +13 27 37.1         528381    675  C~0BHs      
2008 11  19.33084  23 59 08.65   +13 27 32.5         528381    675  C~0BHs      
2009 06  28.39402  00 07 53.54   +14 25 55.8         528381    675  C~0BHs      
2009 06  29.39168  00 07 53.67   +14 26 13.5         528381    675  C~0BHs      
2009 06  30.38845  00 07 53.73   +14 26 31.4         528381    675  C~0BHs      
2009 07  02.47729  00 07 53.67   +14 27 06.9         528381    675  C~0BHs      
2009 07  07.46522  00 07 52.35   +14 28 24.4         528381    675  C~0BHs      
2009 07  31.30379  00 07 24.73   +14 31 58.7         528381    675  C~0BHs      
2009 07  31.40035  00 07 24.54   +14 31 58.7         528381    675  C~0BHs      
2009 07  31.49606  00 07 24.34   +14 32 00.0         528381    675  C~0BHs      
2009 08  15.41042  00 06 50.86   +14 31 56.6         528381    675  C~0BHs      
2009 08  16.35636  00 06 48.43   +14 31 52.9         528381    675  C~0BHs      
2009 10  11.39312  00 03 44.51   +14 18 15.3         528381    675  C~0BHs      
2009 10  11.44477  00 03 44.35   +14 18 14.2         528381    675  C~0BHs      
2009 10  18.22399  00 03 22.35   +14 15 42.0         528381    568  C~0BHs      
2009 10  18.25466  00 03 22.25   +14 15 41.3         528381    568  C~0BHs      
2010 09  18.47813  00 07 56.508  +15 01 26.63  22.1G 528381    F51  C~2r7I      
2010 09  18.49014  00 07 56.484  +15 01 26.23  21.2G 528381    F51  C~2r7I      
2010 10  09.11773  00 06 45.04   +14 54 49.4   21.5R 528381    688  C~0NmC      
2010 10  09.18404  00 06 44.81   +14 54 47.0         528381    688  C~0NmC      
2011 09  19.35933  00 10 44.624  +15 36 10.39  21.5G 528381    F51  C~2r7I      
2011 09  19.36990  00 10 44.604  +15 36 10.48  21.6G 528381    F51  C~2r7I      
2011 09  19.38334  00 10 44.538  +15 36 10.15  21.8G 528381    F51  C~2r7I      
2011 09  19.39491  00 10 44.498  +15 36 10.03  22.0G 528381    F51  C~2r7I      
2011 10  19.26903  00 09 03.099  +15 26 10.65  21.8G 528381    F51  C~2r7I      
2011 10  19.28289  00 09 03.051  +15 26 10.23  21.6G 528381    F51  C~2r7I      
2011 10  19.29677  00 09 03.018  +15 26 09.91  21.8G 528381    F51  C~2r7I      
2011 10  19.31269  00 09 02.964  +15 26 09.51  22.0G 528381    F51  C~2r7I      
2012 08  12.60662  00 15 24.389  +16 15 53.91  22.2G 528381    F51  C~2r7I      
2012 10  08.29977  00 12 25.325  +16 04 16.38  21.9G 528381    F51  C~2r7I      
2012 10  08.31430  00 12 25.280  +16 04 16.18  21.8G 528381    F51  C~2r7I      
2012 10  08.32881  00 12 25.228  +16 04 15.78  21.7G 528381    F51  C~2r7I      
2012 10  08.34335  00 12 25.174  +16 04 15.49  21.7G 528381    F51  C~2r7I      
2013 10  25.42451  00 14 18.055  +16 31 46.01  22.3G 528381    F51  C~2r7I      
2013 10  25.43572  00 14 18.023  +16 31 45.61  21.9G 528381    F51  C~2r7J      
2014 09  19.51181  00 19 03.375  +17 16 52.04  21.7G 528381    F51  C~2r7J      
2014 09  19.52438  00 19 03.327  +17 16 51.81  22.0G 528381    F51  C~2r7J      
2014 09  19.53648  00 19 03.287  +17 16 51.65  22.0G 528381    F51  C~2r7J      
2014 09  19.54858  00 19 03.244  +17 16 51.44  21.8G 528381    F51  C~2r7J      
2014 10  02.30874  00 18 19.443  +17 13 09.69  21.2G 528381    F51  C~2r7J      
2014 10  02.32064  00 18 19.392  +17 13 09.55  21.8G 528381    F51  C~2r7J      
2014 10  02.33251  00 18 19.361  +17 13 09.20  21.9G 528381    F51  C~2r7J      
2014 10  02.34441  00 18 19.314  +17 13 09.05  20.9G 528381    F51  C~2r7J      
2014 12  08.33821  00 15 35.785  +16 49 21.45  22.2G 528381    F51  C~2r7J      
2015 08  01.50939  00 23 58.412  +17 53 11.08  21.2G 528381    F51  C~2r7J      
2015 12  14.26694  00 18 14.188  +17 20 06.13  21.7G 528381    F51  C~2r7J      
2015 12  14.27967  00 18 14.188  +17 20 05.85  22.3G 528381    F51  C~2r7J      
2015 12  14.29230  00 18 14.178  +17 20 05.61  22.2G 528381    F51  C~2r7J      
2015 12  14.30489  00 18 14.167  +17 20 05.51  22.2G 528381    F51  C~2r7J      
2016 10  09.30366  00 23 19.248  +18 14 48.26  21.9G 528381    F51  C~2r7J      
2016 10  09.31530  00 23 19.209  +18 14 48.10  22.0G 528381    F51  C~2r7J      
2016 10  09.31595  00 23 19.210  +18 14 48.02  21.9G 528381    F51  C~2r7J      
2016 10  09.32757  00 23 19.163  +18 14 47.48  22.1G 528381    F51  C~2r7J      
2016 10  09.32821  00 23 19.181  +18 14 47.71  21.7G 528381    F51  C~2r7J      
2016 10  09.33991  00 23 19.133  +18 14 47.68  22.8G 528381    F51  C~2r7J      
2016 10  09.34056  00 23 19.125  +18 14 47.39  21.9G 528381    F51  C~2r7J      
2016 11  06.38170  00 21 53.809  +18 04 24.10  22.4G 528381    F51  C~2r7J      
2016 11  06.38299  00 21 53.800  +18 04 23.92  22.0G 528381    F51  C~2r7J      
2016 11  06.39371  00 21 53.773  +18 04 23.64  22.1G 528381    F51  C~2r7J      
2016 11  06.39499  00 21 53.776  +18 04 23.61  21.9G 528381    F51  C~2r7J      
2016 11  06.40576  00 21 53.746  +18 04 23.39  22.1G 528381    F51  C~2r7J      
2016 11  06.40704  00 21 53.749  +18 04 23.45  21.8G 528381    F51  C~2r7J      
2016 11  06.41779  00 21 53.715  +18 04 23.06  22.3G 528381    F51  C~2r7J      
2016 11  06.41908  00 21 53.709  +18 04 22.94  22.1G 528381    F51  C~2r7J      
2017 08  15.45917  00 28 49.400  +18 56 00.48  22.0G 528381    F51  C~2r7J      
2017 08  15.47086  00 28 49.375  +18 56 00.29  21.9G 528381    F51  C~2r7J      
2017 08  15.48254  00 28 49.347  +18 56 00.08  21.7G 528381    F51  C~2r7J      
2017 09  23.33988  00 26 54.80   +18 50 48.5   21.5R 528381    G37  C~2LR4      
2017 09  23.43215  00 26 54.51   +18 50 46.9         528381    G37  C~2LR4      
2017 09  30.33790  00 26 30.998  +18 48 51.21  21.2G 528381    F51  C~2r7J      
2017 09  30.34887  00 26 30.962  +18 48 51.16  21.2G 528381    F51  C~2r7J      
2017 09  30.35988  00 26 30.933  +18 48 50.70        528381    F51  C~2r7J      
2017 09  30.37094  00 26 30.903  +18 48 50.44  22.1G 528381    F51  C~2r7J      
2017 10  18.43759  00 25 30.450  +18 42 49.65  21.9G 528381    F51  C~2r7J      
2017 10  18.44981  00 25 30.428  +18 42 49.53  21.7G 528381    F51  C~2r7J      
2017 10  18.46207  00 25 30.412  +18 42 48.99  22.2G 528381    F51  C~2r7J      
2017 12  31.26452  00 23 34.293  +18 18 56.35  22.3G 528381    F51  C~2r7J      
2020 08  18.44237  00 36 32.729  +20 24 51.45  22.2w 528381    F51  C~46lC      
2020 08  18.44756  00 36 32.720  +20 24 51.34  22.0w 528381    F51  C~46lC      
2020 08  18.45466  00 36 32.707  +20 24 51.28  22.0w 528381    F51  C~46lC      
2020 08  18.45981  00 36 32.708  +20 24 51.19  22.0w 528381    F51  C~46lC      
2020 08  18.46693  00 36 32.666  +20 24 51.48  21.9w 528381    F51  C~46lC      
2020 08  18.47208  00 36 32.656  +20 24 51.23  22.0w 528381    F51  C~46lC      
2020 08  18.47921  00 36 32.651  +20 24 51.61  22.2w 528381    F51  C~46lC      
2020 08  18.48437  00 36 32.631  +20 24 51.43  22.0w 528381    F51  C~46lC      
2021 10  03.315697 00 36 51.589  +20 46 38.50  22.0w 528381    F52  C~59P9      
2021 10  03.326487 00 36 51.570  +20 46 38.44  21.9w 528381    F52  C~59P9      
2021 10  03.337240 00 36 51.523  +20 46 38.15  21.9w 528381    F52  C~59P9      
2021 11  01.442888 00 35 18.471  +20 36 40.44  21.9w 528381    F51  C~5FZS      
2021 11  01.455153 00 35 18.434  +20 36 40.10  22.3w 528381    F51  C~5FZS      
2021 11  01.467395 00 35 18.383  +20 36 39.77  22.2w 528381    F51  C~5FZS      
2021 11  01.479672 00 35 18.366  +20 36 39.83  22.0w 528381    F51  C~5FZS      
2022 09  24.355814 00 39 57.448  +21 17 22.41  22.1w 528381    F52  C~5qdy      
2022 09  24.367325 00 39 57.402  +21 17 22.23  21.9w 528381    F52  C~5qdy      
2022 09  24.378883 00 39 57.360  +21 17 22.10  21.9w 528381    F52  C~5qdy      
2023 09  18.349052 00 42 51.486  +21 46 26.94  22.1w 528381    F52  C~7MCk      
2023 09  18.361850 00 42 51.465  +21 46 26.95  22.0w 528381    F52  C~7MCk      
2023 09  18.374672 00 42 51.444  +21 46 26.68  22.0w 528381    F52  C~7MCk      
2023 10  12.293345 00 41 32.407  +21 40 18.70  21.9w 528381    F52  C~7MCk      
2023 10  12.319080 00 41 32.314  +21 40 18.00  21.7w 528381    F52  C~7MCk      
2023 10  12.331890 00 41 32.273  +21 40 17.73  21.9w 528381    F52  C~7MCk      
2023 11  08.220468 00 40 09.899  +21 30 43.54  22.0w 528381    F52  C~7WJP      
2023 11  08.247756 00 40 09.833  +21 30 42.78  21.8w 528381    F52  C~7WJP      
2023 11  08.261455 00 40 09.800  +21 30 42.32  22.1w 528381    F52  C~7WJP      
2024 11  02.245957 00 42 56.959  +22 00 07.52  22.0w 528381    F52  C~8S3M      
2024 11  02.259933 00 42 56.896  +22 00 07.34  22.0w 528381    F52  C~8S3M      
2024 11  02.273941 00 42 56.874  +22 00 07.09  22.2w 528381    F52  C~8S3M      
2024 11  02.287999 00 42 56.836  +22 00 06.63  22.0w 528381    F52  C~8S3M      

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     1.06       0.00     0.21
     2   0.0004      0.00    -0.24       0.00    -0.02
     3   0.0027      0.00    -0.19       0.00    -0.34
     4   0.0028      0.00    -0.39       0.00     0.55
     5   0.0354      0.00    -0.79       0.00     0.37
     6   0.0962      0.00     0.44       0.00    -0.37
     7   0.0963      0.00     0.48       0.00    -0.35
     8   0.0963      0.00     0.43       0.00    -0.30
     9   0.1531      0.00     0.04       0.00    -0.58
    10   0.1538      0.00    -0.38       0.00    -0.15
    11   0.7590      0.00    -0.20       0.00     0.20
    12   0.7617      0.00    -0.19       0.00    -0.11
    13   0.7645      0.00    -0.26       0.00     0.20
    14   0.7702      0.00     0.00       0.00     0.17
    15   0.7838      0.00    -0.10       0.00     0.37
    16   0.8491      0.00    -0.12       0.00     0.33
    17   0.8494      0.00    -0.22       0.00    -0.01
    18   0.8496      0.00    -0.46       0.00     0.96
    19   0.8905      0.00    -0.60       0.00     0.05
    20   0.8930      0.00     0.04       0.00    -0.01
    21   1.0465      0.00    -0.00       0.00     0.13
    22   1.0466      0.00     0.20       0.00     0.18
    23   1.0652      0.00    -0.03       0.00    -0.26
    24   1.0653      0.00    -0.06       0.00    -0.27
    25   1.9830      0.00     0.06       0.00    -0.03
    26   1.9831      0.00     0.33       0.00    -0.23
    27   2.0396      0.00    -0.24       0.00     1.01
    28   2.0397      0.00    -0.29       0.00     0.03
    29   2.9848      0.00     0.06       0.00    -0.22
    30   2.9848      0.00     0.32       0.00     0.04
    31   2.9848      0.00     0.03       0.00    -0.07
    32   2.9849      0.00     0.04       0.00    -0.00
    33   3.0667      0.00     0.06       0.00    -0.00
    34   3.0667      0.00     0.01       0.00    -0.11
    35   3.0667      0.00     0.18       0.00    -0.12
    36   3.0668      0.00     0.14       0.00    -0.16
    37   3.8835      0.00     0.14       0.00     0.09
    38   4.0387      0.00     0.02       0.00    -0.14
    39   4.0387      0.00     0.10       0.00    -0.04
    40   4.0388      0.00     0.07       0.00    -0.13
    41   4.0388      0.00     0.01       0.00    -0.12
    42   5.0849      0.00    -0.06       0.00    -0.02
    43   5.0849      0.00    -0.03       0.00    -0.16
    44   5.9859      0.00     0.13       0.00    -0.04
    45   5.9859      0.00     0.06       0.00    -0.07
    46   5.9859      0.00     0.08       0.00    -0.04
    47   5.9860      0.00     0.07       0.00    -0.06
    48   6.0209      0.00    -0.01       0.00    -0.14
    49   6.0209      0.00    -0.15       0.00    -0.06
    50   6.0210      0.00     0.01       0.00    -0.18
    51   6.0210      0.00    -0.08       0.00    -0.10
    52   6.2044      0.00     0.24       0.00    -0.07
    53   6.8510      0.00     0.19       0.00    -0.14
    54   7.2200      0.00     0.02       0.00    -0.00
    55   7.2200      0.00     0.11       0.00    -0.08
    56   7.2200      0.00     0.05       0.00    -0.12
    57   7.2201      0.00    -0.02       0.00    -0.03
    58   8.0414      0.00    -0.07       0.00     0.02
    59   8.0415      0.00    -0.06       0.00     0.09
    60   8.0415      0.00    -0.01       0.00     0.02
    61   8.0415      0.00    -0.12       0.00    -0.28
    62   8.0415      0.00     0.18       0.00    -0.04
    63   8.0415      0.00     0.06       0.00     0.17
    64   8.0415      0.00    -0.03       0.00    -0.11
    65   8.1183      0.00     0.06       0.00     0.10
    66   8.1183      0.00    -0.03       0.00    -0.05
    67   8.1183      0.00    -0.01       0.00    -0.08
    68   8.1183      0.00     0.09       0.00    -0.08
    69   8.1184      0.00     0.06       0.00    -0.05
    70   8.1184      0.00     0.16       0.00     0.04
    71   8.1184      0.00     0.07       0.00    -0.10
    72   8.1184      0.00     0.03       0.00    -0.19
    73   8.8906      0.00     0.10       0.00     0.26
    74   8.8906      0.00     0.13       0.00     0.07
    75   8.8907      0.00     0.11       0.00    -0.15
    76   8.9970      0.00    -0.13       0.00     0.36
    77   8.9973      0.00     0.27       0.00     0.21
    78   9.0162      0.00    -0.28       0.00     0.13
    79   9.0162      0.00    -0.25       0.00     0.27
    80   9.0163      0.00    -0.11       0.00     0.01
    81   9.0163      0.00     0.02       0.00    -0.06
    82   9.0658      0.00    -0.40       0.00    -0.13
    83   9.0658      0.00    -0.13       0.00     0.02
    84   9.0658      0.00     0.23       0.00    -0.25
    85   9.2679      0.00     0.32       0.00    -0.06
    86  11.8994      0.00    -0.01       0.00     0.04
    87  11.8995      0.00     0.04       0.00    -0.07
    88  11.8995      0.00     0.09       0.00    -0.13
    89  11.8995      0.00     0.29       0.00    -0.22
    90  11.8995      0.00    -0.09       0.00     0.06
    91  11.8995      0.00    -0.06       0.00    -0.19
    92  11.8995      0.00     0.11       0.00     0.19
    93  11.8996      0.00    -0.01       0.00     0.01
    94  13.0244      0.00    -0.21       0.00    -0.08
    95  13.0244      0.00     0.06       0.00     0.04
    96  13.0244      0.00    -0.09       0.00    -0.07
    97  13.1041      0.00     0.09       0.00    -0.06
    98  13.1041      0.00     0.07       0.00    -0.12
    99  13.1042      0.00    -0.16       0.00    -0.17
   100  13.1042      0.00     0.12       0.00     0.17
   101  13.9991      0.00     0.25       0.00     0.11
   102  13.9992      0.00     0.14       0.00     0.09
   103  13.9992      0.00     0.09       0.00     0.12
   104  14.9820      0.00    -0.43       0.00     0.02
   105  14.9820      0.00    -0.12       0.00     0.17
   106  14.9821      0.00     0.18       0.00     0.04
   107  15.0476      0.00     0.10       0.00     0.25
   108  15.0476      0.00    -0.00       0.00     0.04
   109  15.0477      0.00     0.03       0.00     0.01
   110  15.1213      0.00    -0.30       0.00     0.27
   111  15.1214      0.00    -0.18       0.00     0.13
   112  15.1214      0.00    -0.11       0.00    -0.02
   113  16.1070      0.00    -0.02       0.00    -0.14
   114  16.1070      0.00    -0.35       0.00    -0.01
   115  16.1071      0.00    -0.06       0.00     0.05
   116  16.1071      0.00    -0.01       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.

528381    quality flag:3

Type:       6:1EEEEE  6:1EEEEE  6:1EEEEE

axisobj       100.781   100.782   100.779
ecceobj         0.577     0.577     0.577
incobj         20.757    20.757    20.757
qmin           39.654    39.669    39.639
qmax          162.971   162.934   163.070
amean          99.419    99.419    99.418
amin           97.683    97.670    97.694
amax          101.929   101.989   101.956
emean           0.583     0.583     0.583
emin            0.564     0.564     0.564
emax            0.601     0.600     0.601
imean          20.574    20.580    20.569
imin           19.174    19.206    19.164
imax           22.114    22.114    22.114
excite_mean     0.681     0.681     0.681
fracstop        1.000     1.000     1.000
cjmean          3.066     3.066     3.066

libcent 0        85.3      85.0      84.5
libamp  0        46.6      47.4      46.4
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       312.5     300.0     316.8
kozaiamp        180.0     180.0     180.0