Orbit Fit and Astrometric record for 12YF12

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: 12YF12    
# Created Fri Apr 26 01:14:12 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting    115 observations of    115
# Arc:   9.13y
# First observation: 2012/10/13
#  Last observation: 2021/12/01
# Chi-squared of fit:    95.92 DOF:    224 RMS:  0.16
# Min/Max residuals:    -0.76    0.52
# Exact a, adot, b, bdot, g, gdot:
  1.376821E-05  2.280443E-02  4.183823E-06  3.402391E-03  2.378074E-02 -2.742296E-03
# Covariance matrix:
  1.3211E-13 -4.9470E-14  8.0946E-15 -4.4734E-15  5.4357E-15 -1.9297E-13
 -4.9470E-14  2.7288E-14 -4.4501E-15  3.1601E-15  1.1445E-14  1.2739E-13
  8.0946E-15 -4.4501E-15  6.5293E-14 -1.6044E-14 -3.3198E-16 -2.5150E-14
 -4.4734E-15  3.1601E-15 -1.6044E-14  5.0444E-15  1.9515E-15  1.7713E-14
  5.4357E-15  1.1445E-14 -3.3198E-16  1.9515E-15  3.6193E-14  6.1662E-14
 -1.9297E-13  1.2739E-13 -2.5150E-14  1.7713E-14  6.1662E-14  7.1550E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
  -27.416705   81.885479    0.874506   -0.218618   -0.421550  2456214.098948
# Heliocentric elements and errors
Epoch:              2456214.5000  =  2012/10/14
Mean Anomaly:          290.45981 +/-     0.007
Argument of Peri:       10.45476 +/-     0.010
Long of Asc Node:      153.55615 +/-     0.000
Inclination:            28.16602 +/-     0.000
Eccentricity:         0.14019620 +/-    0.0000
Semi-Major Axis:     43.82663500 +/-    0.0014
Time of Perihelion: 2476685.4959 +/-       4.6
Perihelion:          37.68230752 +/-    0.0020
Aphelion:            49.97096248 +/-    0.0023
Period (y)              290.1452 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            6.20287355 +/-    0.0000
Ecliptic Y           37.30315585 +/-    0.0003
Ecliptic Z          -19.36252260 +/-    0.0002
Ecliptic XDOT        -0.00261922 +/-    0.0000
Ecliptic YDOT         0.00027388 +/-    0.0000
Ecliptic ZDOT         0.00049322 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.48430183 +/-    0.0003
Geocenter to KBO     42.05093569 +/-    0.0003
# Hcoef:  6.03

The following table shows the complete astrometric record for 12YF12. 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 (12YF12) followed by the observatory code and reference code for the source of the astrometry.

2012 10  13.59817  05 31 07.854  -04 10 49.74  23.4G 12YF12    F51  C~3467      
2012 12  12.43319  05 27 20.941  -04 31 21.53  21.4G 12YF12    F51  C~3467      
2012 12  23.40156  05 26 27.225  -04 31 08.82  22.4G 12YF12    F51  C~3467      
2012 12  23.41500  05 26 27.150  -04 31 08.72  21.8G 12YF12    F51  C~3467      
2012 12  24.36230  05 26 22.589  -04 31 03.59  22.4G 12YF12    F51  C~3467      
2013 01  27.32552  05 24 01.181  -04 21 21.74  22.0G 12YF12    F51  C~3467      
2013 10  08.61603  05 36 28.356  -03 51 39.87  22.2G 12YF12    F51  C~3467      
2013 11  29.45874  05 33 40.992  -04 13 29.67  21.6G 12YF12    F51  C~3467      
2013 12  10.39081  05 32 48.285  -04 15 00.10  22.0G 12YF12    F51  C~3467      
2013 12  12.42714  05 32 38.251  -04 15 07.36  22.6G 12YF12    F51  C~3467      
2014 09  11.60491  05 41 37.475  -03 19 27.97  22.0G 12YF12    F51  C~3467      
2014 10  03.53450  05 41 46.825  -03 32 15.23  22.8G 12YF12    F51  C~3467      
2014 10  03.54584  05 41 46.830  -03 32 15.57  22.0G 12YF12    F51  C~3467      
2014 10  03.55716  05 41 46.799  -03 32 15.92  22.5G 12YF12    F51  C~3467      
2014 10  03.56848  05 41 46.809  -03 32 16.44  22.3G 12YF12    F51  C~3467      
2014 10  27.55270  05 41 05.794  -03 45 17.54  22.0G 12YF12    F51  C~3467      
2014 10  27.59442  05 41 05.664  -03 45 18.51  22.3G 12YF12    F51  C~3467      
2014 10  27.60581  05 41 05.628  -03 45 19.08  22.2G 12YF12    F51  C~3467      
2014 11  22.53485  05 39 31.142  -03 55 23.24  22.0G 12YF12    F51  C~3467      
2014 11  22.54710  05 39 31.099  -03 55 23.55  22.1G 12YF12    F51  C~3467      
2014 11  22.55930  05 39 31.045  -03 55 23.69  21.8G 12YF12    F51  C~3467      
2014 11  22.57156  05 39 31.003  -03 55 23.62  21.9G 12YF12    F51  C~3467      
2014 12  10.51918  05 38 06.592  -03 58 35.30  22.2G 12YF12    F51  C~3467      
2015 01  08.37551  05 35 47.200  -03 56 00.34  22.2G 12YF12    F51  C~3467      
2015 01  08.38796  05 35 47.128  -03 55 59.78  22.6G 12YF12    F51  C~3467      
2015 01  08.40044  05 35 47.093  -03 55 59.68  21.6G 12YF12    F51  C~3467      
2015 01  08.41299  05 35 47.033  -03 55 59.36  22.5G 12YF12    F51  C~3467      
2015 01  14.27146  05 35 21.522  -03 54 18.27  21.8G 12YF12    F51  C~3467      
2015 01  14.28382  05 35 21.461  -03 54 18.15  21.7G 12YF12    F51  C~3467      
2015 01  14.29615  05 35 21.407  -03 54 17.94  22.0G 12YF12    F51  C~3467      
2015 01  14.30846  05 35 21.337  -03 54 17.55  21.8G 12YF12    F51  C~3467      
2015 01  16.27503  05 35 13.172  -03 53 38.95  22.1G 12YF12    F51  C~3467      
2015 01  16.28953  05 35 13.112  -03 53 38.34  22.2G 12YF12    F51  C~3467      
2015 01  16.30405  05 35 13.044  -03 53 38.17  21.7G 12YF12    F51  C~3467      
2015 01  16.31856  05 35 12.993  -03 53 37.87  22.2G 12YF12    F51  C~3467      
2015 09  22.57473  05 47 01.047  -03 09 15.17  21.7G 12YF12    F51  C~3467      
2015 09  22.58446  05 47 01.092  -03 09 15.48  21.7G 12YF12    F51  C~3467      
2015 09  22.59420  05 47 01.086  -03 09 15.84  22.1G 12YF12    F51  C~3467      
2015 09  22.60393  05 47 01.097  -03 09 16.11  21.8G 12YF12    F51  C~3467      
2015 09  23.58114  05 47 01.596  -03 09 50.29  21.9G 12YF12    F51  C~3467      
2015 09  23.59280  05 47 01.604  -03 09 50.73  22.0G 12YF12    F51  C~3467      
2015 09  23.60445  05 47 01.608  -03 09 51.17  22.0G 12YF12    F51  C~3467      
2015 09  23.61614  05 47 01.614  -03 09 51.50  21.9G 12YF12    F51  C~3467      
2015 09  24.59092  05 47 02.012  -03 10 25.57  22.0G 12YF12    F51  C~3467      
2015 09  24.60258  05 47 02.037  -03 10 26.06  21.9G 12YF12    F51  C~3467      
2015 09  24.61421  05 47 02.022  -03 10 26.38  21.7G 12YF12    F51  C~3467      
2015 10  25.51342  05 46 28.766  -03 27 35.70  22.9G 12YF12    F51  C~3467      
2015 10  25.52727  05 46 28.743  -03 27 36.45  22.3G 12YF12    F51  C~3467      
2015 10  25.54117  05 46 28.713  -03 27 36.91  22.9G 12YF12    F51  C~3468      
2015 10  26.50175  05 46 26.283  -03 28 05.53  22.3G 12YF12    F51  C~3468      
2015 11  16.52370  05 45 16.263  -03 36 53.72  21.9G 12YF12    F51  C~3468      
2015 11  16.53547  05 45 16.218  -03 36 53.73  22.7G 12YF12    F51  C~3468      
2015 11  16.54719  05 45 16.151  -03 36 54.35  22.2G 12YF12    F51  C~3468      
2015 11  16.55892  05 45 16.122  -03 36 54.35  22.5G 12YF12    F51  C~3468      
2015 11  23.51016  05 44 46.826  -03 38 59.25  22.7G 12YF12    F51  C~3468      
2015 11  30.46269  05 44 15.348  -03 40 35.48  22.4G 12YF12    F51  C~3468      
2015 12  06.41382  05 43 47.062  -03 41 33.03  21.7G 12YF12    F51  C~3468      
2015 12  13.47964  05 43 12.448  -03 42 10.97  21.9G 12YF12    F51  C~3468      
2015 12  13.49271  05 43 12.385  -03 42 11.04  22.1G 12YF12    F51  C~3468      
2015 12  13.50580  05 43 12.320  -03 42 11.05  22.3G 12YF12    F51  C~3468      
2015 12  13.51887  05 43 12.257  -03 42 11.15  22.2G 12YF12    F51  C~3468      
2016 01  09.37900  05 41 02.079  -03 39 17.96  22.2G 12YF12    F51  C~3468      
2016 01  09.39080  05 41 02.018  -03 39 17.77  22.0G 12YF12    F51  C~3468      
2016 01  09.40265  05 41 01.983  -03 39 17.65  22.1G 12YF12    F51  C~3468      
2016 01  09.41449  05 41 01.919  -03 39 17.45  22.3G 12YF12    F51  C~3468      
2016 01  11.36698  05 40 53.180  -03 38 45.77  21.8G 12YF12    F51  C~3468      
2016 01  11.37956  05 40 53.121  -03 38 45.46  21.8G 12YF12    F51  C~3468      
2016 01  11.39217  05 40 53.060  -03 38 45.22  21.5G 12YF12    F51  C~3468      
2016 01  30.32749  05 39 38.847  -03 31 35.92  22.4G 12YF12    F51  C~3468      
2016 01  30.34083  05 39 38.792  -03 31 35.44  22.1G 12YF12    F51  C~3468      
2016 01  30.35414  05 39 38.758  -03 31 35.12  22.1G 12YF12    F51  C~3468      
2016 01  30.36745  05 39 38.703  -03 31 34.61  22.3G 12YF12    F51  C~3468      
2016 02  12.23476  05 39 02.462  -03 24 55.40  21.9G 12YF12    F51  C~3468      
2016 02  12.24662  05 39 02.455  -03 24 54.72  22.0G 12YF12    F51  C~3468      
2016 02  12.25858  05 39 02.430  -03 24 54.32  22.3G 12YF12    F51  C~3468      
2016 02  12.27049  05 39 02.400  -03 24 53.98  21.9G 12YF12    F51  C~3468      
2016 03  02.25581  05 38 35.462  -03 13 15.13  21.9G 12YF12    F51  C~3468      
2016 03  02.26970  05 38 35.451  -03 13 14.74  22.0G 12YF12    F51  C~3468      
2016 03  02.28359  05 38 35.449  -03 13 14.04  21.9G 12YF12    F51  C~3468      
2016 10  09.60067  05 52 12.832  -03 02 49.57  21.7G 12YF12    F51  C~3468      
2016 10  09.61059  05 52 12.832  -03 02 50.02  21.9G 12YF12    F51  C~3468      
2016 10  09.62051  05 52 12.825  -03 02 50.18  21.9G 12YF12    F51  C~3468      
2016 10  09.63047  05 52 12.803  -03 02 50.50  21.8G 12YF12    F51  C~3468      
2016 10  14.55584  05 52 06.724  -03 05 33.32  22.3G 12YF12    F51  C~3468      
2016 10  14.58377  05 52 06.653  -03 05 33.61  22.9G 12YF12    F51  C~3468      
2016 10  14.59779  05 52 06.638  -03 05 34.24  22.4G 12YF12    F51  C~3468      
2017 01  27.33173  05 45 04.858  -03 15 58.83  21.8G 12YF12    F51  C~3468      
2017 01  27.34356  05 45 04.817  -03 15 58.53  22.0G 12YF12    F51  C~3468      
2017 01  27.35541  05 45 04.764  -03 15 57.95  22.6G 12YF12    F51  C~3468      
2017 01  27.36726  05 45 04.731  -03 15 58.00  22.0G 12YF12    F51  C~3468      
2017 11  09.57163  05 56 21.583  -03 00 48.92  23.1G 12YF12    F51  C~3468      
2017 11  09.58344  05 56 21.539  -03 00 49.36  22.5G 12YF12    F51  C~3468      
2017 11  09.59525  05 56 21.494  -03 00 49.77  22.2G 12YF12    F51  C~3468      
2017 11  18.44701  05 55 48.029  -03 03 54.60  21.8G 12YF12    F51  C~3468      
2017 11  18.45988  05 55 47.988  -03 03 54.83  22.5G 12YF12    F51  C~3468      
2017 11  18.47277  05 55 47.935  -03 03 54.97  22.2G 12YF12    F51  C~3468      
2017 11  18.48571  05 55 47.878  -03 03 55.19  21.5G 12YF12    F51  C~3468      
2017 12  07.45712  05 54 22.557  -03 07 58.55  21.6G 12YF12    F51  C~3468      
2017 12  07.46972  05 54 22.477  -03 07 58.22  21.9G 12YF12    F51  C~3468      
2017 12  07.48231  05 54 22.370  -03 07 58.43  22.0G 12YF12    F51  C~3468      
2017 12  07.49490  05 54 22.332  -03 07 58.51  23.2G 12YF12    F51  C~3468      
2017 12  14.41208  05 53 48.404  -03 08 29.32  22.3G 12YF12    F51  C~3468      
2017 12  14.42538  05 53 48.326  -03 08 29.11  21.9G 12YF12    F51  C~3468      
2017 12  14.43867  05 53 48.243  -03 08 29.41  21.7G 12YF12    F51  C~3468      
2017 12  14.45200  05 53 48.179  -03 08 29.41  21.8G 12YF12    F51  C~3468      
2018 01  05.38935  05 51 59.834  -03 06 28.54  22.3G 12YF12    F51  C~3468      
2018 01  12.38024  05 51 27.419  -03 04 42.21  21.8G 12YF12    F51  C~3468      
2018 01  12.39287  05 51 27.360  -03 04 41.92  22.1G 12YF12    F51  C~3468      
2018 01  12.40557  05 51 27.319  -03 04 41.74  21.8G 12YF12    F51  C~3468      
2018 01  12.41827  05 51 27.245  -03 04 41.62  22.0G 12YF12    F51  C~3468      
2018 01  22.34515  05 50 44.955  -03 01 17.54  22.1G 12YF12    F51  C~3468      
2018 01  22.35724  05 50 44.902  -03 01 16.65  21.7G 12YF12    F51  C~3468      
2021 12  01.419020 06 16 37.381  -01 56 53.37  21.9G 12YF12    G37  C~5J55      
2021 12  01.458520 06 16 37.224  -01 56 53.18        12YF12    G37  C~5J55      
2021 12  01.498030 06 16 37.018  -01 56 54.03        12YF12    G37  C~5J55      

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     0.31       0.00    -0.38
     2   0.1638      0.00    -0.76       0.00    -0.10
     3   0.1938      0.00     0.07       0.00     0.02
     4   0.1939      0.00    -0.06       0.00     0.05
     5   0.1965      0.00     0.15       0.00     0.07
     6   0.2895      0.00    -0.01       0.00     0.03
     7   0.9857      0.00     0.09       0.00    -0.10
     8   1.1276      0.00    -0.07       0.00     0.25
     9   1.1575      0.00     0.12       0.00    -0.35
    10   1.1631      0.00    -0.02       0.00     0.06
    11   1.9110      0.00     0.17       0.00    -0.07
    12   1.9711      0.00    -0.04       0.00    -0.04
    13   1.9711      0.00     0.15       0.00     0.01
    14   1.9711      0.00    -0.20       0.00     0.06
    15   1.9712      0.00     0.07       0.00    -0.07
    16   2.0368      0.00     0.05       0.00    -0.15
    17   2.0370      0.00    -0.13       0.00     0.10
    18   2.0370      0.00    -0.19       0.00    -0.14
    19   2.1080      0.00    -0.02       0.00     0.08
    20   2.1080      0.00     0.16       0.00    -0.03
    21   2.1080      0.00     0.17       0.00     0.03
    22   2.1081      0.00     0.36       0.00     0.30
    23   2.1572      0.00     0.05       0.00    -0.01
    24   2.2362      0.00     0.10       0.00    -0.34
    25   2.2362      0.00    -0.13       0.00     0.03
    26   2.2363      0.00     0.20       0.00    -0.06
    27   2.2363      0.00     0.16       0.00     0.06
    28   2.2524      0.00     0.09       0.00     0.14
    29   2.2524      0.00    -0.02       0.00     0.03
    30   2.2524      0.00    -0.04       0.00     0.00
    31   2.2525      0.00    -0.30       0.00     0.16
    32   2.2578      0.00     0.01       0.00    -0.12
    33   2.2579      0.00     0.02       0.00     0.20
    34   2.2579      0.00    -0.09       0.00     0.07
    35   2.2580      0.00     0.06       0.00     0.08
    36   2.9404      0.00    -0.45       0.00     0.01
    37   2.9404      0.00     0.15       0.00     0.04
    38   2.9404      0.00    -0.01       0.00     0.02
    39   2.9405      0.00     0.08       0.00     0.09
    40   2.9431      0.00    -0.08       0.00     0.05
    41   2.9432      0.00    -0.03       0.00     0.02
    42   2.9432      0.00    -0.04       0.00    -0.02
    43   2.9432      0.00    -0.02       0.00     0.06
    44   2.9459      0.00    -0.27       0.00     0.06
    45   2.9459      0.00     0.06       0.00    -0.02
    46   2.9460      0.00    -0.22       0.00     0.07
    47   3.0306      0.00    -0.10       0.00     0.34
    48   3.0306      0.00     0.08       0.00    -0.00
    49   3.0306      0.00     0.16       0.00    -0.04
    50   3.0333      0.00    -0.23       0.00    -0.15
    51   3.0908      0.00     0.04       0.00    -0.20
    52   3.0909      0.00     0.09       0.00     0.02
    53   3.0909      0.00    -0.19       0.00    -0.36
    54   3.0909      0.00     0.10       0.00    -0.13
    55   3.1100      0.00     0.05       0.00     0.05
    56   3.1290      0.00     0.10       0.00    -0.03
    57   3.1453      0.00    -0.11       0.00     0.22
    58   3.1646      0.00    -0.04       0.00     0.02
    59   3.1647      0.00     0.00       0.00    -0.01
    60   3.1647      0.00     0.02       0.00     0.02
    61   3.1647      0.00     0.06       0.00    -0.05
    62   3.2383      0.00    -0.01       0.00     0.07
    63   3.2383      0.00    -0.11       0.00     0.08
    64   3.2383      0.00     0.19       0.00     0.01
    65   3.2384      0.00     0.05       0.00     0.03
    66   3.2437      0.00     0.11       0.00    -0.08
    67   3.2438      0.00     0.08       0.00     0.02
    68   3.2438      0.00     0.02       0.00     0.04
    69   3.2956      0.00     0.02       0.00    -0.04
    70   3.2957      0.00    -0.13       0.00     0.07
    71   3.2957      0.00     0.04       0.00     0.01
    72   3.2957      0.00    -0.11       0.00     0.15
    73   3.3310      0.00    -0.43       0.00    -0.16
    74   3.3310      0.00    -0.11       0.00     0.12
    75   3.3310      0.00    -0.06       0.00     0.12
    76   3.3311      0.00    -0.09       0.00     0.05
    77   3.3830      0.00     0.15       0.00    -0.03
    78   3.3831      0.00     0.11       0.00    -0.18
    79   3.3831      0.00     0.21       0.00    -0.03
    80   3.9891      0.00    -0.09       0.00     0.01
    81   3.9891      0.00     0.08       0.00    -0.11
    82   3.9891      0.00     0.13       0.00     0.06
    83   3.9891      0.00    -0.03       0.00     0.07
    84   4.0026      0.00     0.36       0.00    -0.10
    85   4.0027      0.00    -0.06       0.00     0.52
    86   4.0027      0.00     0.05       0.00     0.34
    87   4.2895      0.00    -0.00       0.00    -0.03
    88   4.2895      0.00     0.03       0.00    -0.04
    89   4.2895      0.00    -0.12       0.00     0.22
    90   4.2896      0.00     0.04       0.00    -0.14
    91   5.0732      0.00     0.08       0.00     0.01
    92   5.0732      0.00     0.06       0.00    -0.16
    93   5.0732      0.00     0.01       0.00    -0.29
    94   5.0975      0.00    -0.17       0.00    -0.11
    95   5.0975      0.00     0.01       0.00    -0.11
    96   5.0975      0.00     0.02       0.00    -0.01
    97   5.0976      0.00    -0.04       0.00     0.01
    98   5.1495      0.00     0.25       0.00    -0.32
    99   5.1495      0.00    -0.02       0.00     0.10
   100   5.1496      0.00    -0.69       0.00    -0.03
   101   5.1496      0.00    -0.33       0.00    -0.02
   102   5.1686      0.00     0.23       0.00    -0.10
   103   5.1686      0.00     0.07       0.00     0.14
   104   5.1686      0.00    -0.17       0.00    -0.13
   105   5.1687      0.00    -0.12       0.00    -0.10
   106   5.2287      0.00     0.01       0.00     0.24
   107   5.2479      0.00     0.08       0.00     0.03
   108   5.2479      0.00     0.06       0.00     0.10
   109   5.2479      0.00     0.32       0.00     0.06
   110   5.2480      0.00     0.09       0.00    -0.04
   111   5.2751      0.00     0.05       0.00    -0.24
   112   5.2752      0.00    -0.01       0.00     0.36
   113   9.1330      0.00    -0.07       0.00    -0.28
   114   9.1331      0.00     0.29       0.00     0.32
   115   9.1332      0.00    -0.10       0.00    -0.12

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.

12YF12    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        43.870    43.870    43.870
ecceobj         0.137     0.137     0.137
incobj         28.165    28.165    28.165
qmin           35.756    35.760    35.741
qmax           51.693    51.760    51.845
amean          43.610    43.609    43.611
amin           43.250    43.253    43.259
amax           44.017    44.024    44.014
emean           0.154     0.154     0.154
emin            0.132     0.132     0.131
emax            0.177     0.177     0.178
imean          26.971    26.972    26.969
imin           26.457    26.472    26.454
imax           27.465    27.467    27.469
excite_mean     0.479     0.479     0.479
fracstop        1.000     1.000     1.000
cjmean          2.811     2.811     2.811

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       169.7     170.0     169.6
kozaiamp        179.9     180.0     180.0