Orbit Fit and Astrometric record for 20MK4

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: 20MK4     
# Created Fri Dec  3 02:14:03 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting    114 observations of    114
# Arc: 150.85d
# First observation: 2020/06/15
#  Last observation: 2020/11/13
# Chi-squared of fit:   567.48 DOF:    222 RMS:  0.39
# Min/Max residuals:    -1.30    2.26
# Exact a, adot, b, bdot, g, gdot:
  4.078407E-05  4.629722E-01  4.103335E-06  2.640122E-02  1.863317E-01  5.301533E-02
# Covariance matrix:
  1.6357E-13 -4.0252E-14 -1.7900E-14  2.5873E-13  4.3464E-13  1.4357E-11
 -4.0252E-14  1.7073E-11  2.5060E-13 -2.1366E-12  2.1387E-12 -5.8484E-11
 -1.7900E-14  2.5060E-13  5.0414E-14 -3.2715E-13 -3.7357E-14 -3.6780E-12
  2.5873E-13 -2.1366E-12 -3.2715E-13  2.9365E-12  6.8251E-13  4.4912E-11
  4.3464E-13  2.1387E-12 -3.7357E-14  6.8251E-13  1.6962E-12  4.3638E-11
  1.4357E-11 -5.8484E-11 -3.6780E-12  4.4912E-11  4.3638E-11  2.1585E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.152796  -59.836789    0.591903   -0.101955   -0.811323  2459016.030914
# Heliocentric elements and errors
Epoch:              2459016.5000  =  2020/06/16
Mean Anomaly:          114.66572 +/-     0.115
Argument of Peri:      175.38210 +/-     0.115
Long of Asc Node:        2.27221 +/-     0.001
Inclination:             6.67043 +/-     0.000
Eccentricity:         0.02186542 +/-    0.0001
Semi-Major Axis:      6.15713234 +/-    0.0000
Time of Perihelion: 2457239.0506 +/-       1.8
Perihelion:           6.02250408 +/-    0.0005
Aphelion:             6.29176061 +/-    0.0005
Period (y)               15.2783 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            2.58009616 +/-    0.0000
Ecliptic Y           -5.61524584 +/-    0.0000
Ecliptic Z           -0.66814870 +/-    0.0000
Ecliptic XDOT         0.00630225 +/-    0.0000
Ecliptic YDOT         0.00271184 +/-    0.0000
Ecliptic ZDOT         0.00028768 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    6.21564590 +/-    0.0000
Geocenter to KBO      5.36677032 +/-    0.0000
# Hcoef: 11.41

The following table shows the complete astrometric record for 20MK4. 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 (20MK4) followed by the observatory code and reference code for the source of the astrometry.

2020 06  15.530113 20 16 13.713  -27 05 45.36  21.1G 20MK4     F51  C~40tw      
2020 06  15.561100 20 16 13.134  -27 05 47.91  21.4G 20MK4     F51  C~40tw      
2020 06  20.530090 20 14 32.808  -27 13 26.65  20.4G 20MK4     F51  C~40tw      
2020 06  20.540434 20 14 32.579  -27 13 27.65  20.6G 20MK4     F51  C~40tw      
2020 06  20.550789 20 14 32.354  -27 13 28.79  20.8G 20MK4     F51  C~40tw      
2020 06  20.561108 20 14 32.118  -27 13 29.60  20.4G 20MK4     F51  C~40tw      
2020 06  24.50357  20 13 03.553  -27 19 36.78  19.8w 20MK4     F51  C~40tw      
2020 06  24.51408  20 13 03.312  -27 19 37.58  19.9w 20MK4     F51  C~40tw      
2020 06  24.52456  20 13 03.054  -27 19 38.69  19.9w 20MK4     F51  C~40tw      
2020 07  09.495141 20 06 30.63   -27 41 51.8   18.6o 20MK4     T08  C~40tw      
2020 07  09.498364 20 06 30.59   -27 41 54.1   18.4o 20MK4     T08  C~40tw      
2020 07  09.503889 20 06 30.42   -27 41 53.9   18.5o 20MK4     T08  C~40tw      
2020 07  09.514492 20 06 30.09   -27 41 54.7   18.2o 20MK4     T08  C~40tw      
2020 07  10.221072 20 06 10.04   -27 42 52.7   18.2V 20MK4     H21  C~40tw      
2020 07  10.226879 20 06 09.84   -27 42 53.1   19.0V 20MK4     H21  C~40tw      
2020 07  10.228425 20 06 09.79   -27 42 53.1   19.0V 20MK4     H21  C~40tw      
2020 07  10.429854 20 06 03.98   -27 43 09.3   18.1G 20MK4     T04  C~40tw      
2020 07  10.436284 20 06 03.77   -27 43 09.9   18.2G 20MK4     T04  C~40tw      
2020 07  10.439238 20 06 03.68   -27 43 10.2   18.2G 20MK4     T04  C~40tw      
2020 07  10.442174 20 06 03.61   -27 43 10.4   18.1G 20MK4     T04  C~40tw      
2020 07  10.59462  20 05 59.27   -27 43 20.9   18.8V 20MK4     E94  C~40tw      
2020 07  10.61446  20 05 58.66   -27 43 22.4   18.8V 20MK4     E94  C~40tw      
2020 07  10.63428  20 05 58.07   -27 43 24.0   18.8V 20MK4     E94  C~40tw      
2020 07  10.65416  20 05 57.49   -27 43 25.5   18.8V 20MK4     E94  C~40tw      
2020 07  10.72926  20 05 55.33   -27 43 30.9   18.7V 20MK4     E94  C~40tw      
2020 07  11.449165 20 05 34.67   -27 44 31.6   18.6o 20MK4     T05  C~40tw      
2020 07  11.450994 20 05 34.67   -27 44 31.6   18.5o 20MK4     T05  C~40tw      
2020 07  11.453742 20 05 34.57   -27 44 31.9   18.3o 20MK4     T05  C~40tw      
2020 07  11.464747 20 05 34.28   -27 44 32.3   18.4o 20MK4     T05  C~40tw      
2020 07  12.57720  20 05 02.10   -27 45 59.5         20MK4     Q62  C~4Alm      
2020 07  12.58060  20 05 01.97   -27 46 00.0   18.7G 20MK4     Q62  C~4Alm      
2020 07  13.435720 20 04 37.10   -27 47 08.4   18.5o 20MK4     T08  C~40tw      
2020 07  13.436179 20 04 37.08   -27 47 08.1   18.2o 20MK4     T08  C~40tw      
2020 07  13.438966 20 04 36.96   -27 47 08.4   18.8o 20MK4     T08  C~40tw      
2020 07  13.441731 20 04 36.89   -27 47 08.7   18.6o 20MK4     T08  C~40tw      
2020 07  13.464281 20 04 36.28   -27 47 10.3   18.1o 20MK4     T08  C~40tw      
2020 07  16.04454  20 03 20.58   -27 50 24.4   18.8R 20MK4     954  C~46y6      
2020 07  16.04604  20 03 20.53   -27 50 24.4   18.8R 20MK4     954  C~46y6      
2020 07  16.04903  20 03 20.44   -27 50 24.4   18.6R 20MK4     954  C~46y6      
2020 07  16.925772 20 02 54.610  -27 51 28.34  18.5G 20MK4     Z84  C~44Ai      
2020 07  16.927927 20 02 54.571  -27 51 28.49  18.4G 20MK4     Z84  C~44Ai      
2020 07  16.930082 20 02 54.502  -27 51 28.72  18.6G 20MK4     Z84  C~44Ai      
2020 07  19.397827 20 01 41.34   -27 54 20.9   18.7c 20MK4     T05  C~40tw      
2020 07  19.400113 20 01 41.31   -27 54 21.3   18.7c 20MK4     T05  C~40tw      
2020 07  19.435489 20 01 40.15   -27 54 23.1   18.7c 20MK4     T05  C~40tw      
2020 07  19.441014 20 01 39.99   -27 54 23.7   18.9c 20MK4     T05  C~40tw      
2020 07  19.66890  20 01 33.20   -27 54 37.5   18.4G 20MK4     Q62  C~44Ai      
2020 07  19.68876  20 01 32.58   -27 54 38.7   18.5G 20MK4     Q62  C~44Ai      
2020 07  20.95776  20 00 54.96   -27 56 04.5         20MK4     204  C~44Ai      
2020 07  20.97293  20 00 54.52   -27 56 05.0   19.0G 20MK4     204  C~44Ai      
2020 07  21.474619 20 00 39.61   -27 56 37.0   18.6o 20MK4     T08  C~40tw      
2020 07  21.477841 20 00 39.49   -27 56 37.4   18.5o 20MK4     T08  C~40tw      
2020 07  21.510581 20 00 38.48   -27 56 39.0   18.6o 20MK4     T08  C~40tw      
2020 07  21.516106 20 00 38.34   -27 56 39.5   18.5o 20MK4     T08  C~40tw      
2020 07  22.42663  20 00 11.354  -27 57 36.68  19.2w 20MK4     F51  C~40tw      
2020 07  22.43713  20 00 11.08   -27 57 35.5   18.7V 20MK4     E94  C~44Ai      
2020 07  22.43726  20 00 11.033  -27 57 37.30  19.2w 20MK4     F51  C~40tw      
2020 07  22.44789  20 00 10.709  -27 57 37.96  19.2w 20MK4     F51  C~40tw      
2020 07  22.44908  20 00 10.72   -27 57 35.7   18.7V 20MK4     E94  C~44Ai      
2020 07  22.46099  20 00 10.35   -27 57 37.2   18.7V 20MK4     E94  C~44Ai      
2020 07  22.47289  20 00 10.01   -27 57 37.7   18.7V 20MK4     E94  C~44Ai      
2020 07  25.456031 19 58 41.65   -28 00 35.0   18.1o 20MK4     T08  C~40tw      
2020 07  25.488131 19 58 40.63   -28 00 37.0   18.4o 20MK4     T08  C~40tw      
2020 07  25.491361 19 58 40.53   -28 00 37.2   18.5o 20MK4     T08  C~40tw      
2020 07  25.499242 19 58 40.30   -28 00 36.5   18.4o 20MK4     T08  C~40tw      
2020 07  29.376969 19 56 46.95   -28 03 56.3   18.7o 20MK4     T08  C~438z      
2020 07  29.379270 19 56 46.86   -28 03 56.8   18.8o 20MK4     T08  C~438z      
2020 07  29.382034 19 56 46.74   -28 03 56.9   18.8o 20MK4     T08  C~438z      
2020 07  29.393250 19 56 46.48   -28 03 57.7   18.6o 20MK4     T08  C~438z      
2020 08  08.402983 19 52 07.60   -28 09 54.7   18.7o 20MK4     T05  C~44Ai      
2020 08  08.407143 19 52 07.42   -28 09 54.6   18.8o 20MK4     T05  C~44Ai      
2020 08  08.414465 19 52 07.26   -28 09 55.6   18.7o 20MK4     T05  C~44Ai      
2020 08  08.425529 19 52 06.94   -28 09 55.4   18.7o 20MK4     T05  C~44Ai      
2020 08  09.29477  19 51 44.190  -28 10 15.36  19.4w 20MK4     F51  C~44Ai      
2020 08  09.30252  19 51 43.979  -28 10 15.58  19.3w 20MK4     F51  C~44Ai      
2020 08  09.31026  19 51 43.773  -28 10 15.75  19.4w 20MK4     F51  C~44Ai      
2020 08  09.31802  19 51 43.567  -28 10 16.02  19.3w 20MK4     F51  C~44Ai      
2020 08  10.413616 19 51 15.05   -28 10 38.0   19.2o 20MK4     T08  C~44Ai      
2020 08  10.416838 19 51 14.98   -28 10 38.8   18.6o 20MK4     T08  C~44Ai      
2020 08  10.422361 19 51 14.80   -28 10 38.2   19.2o 20MK4     T08  C~44Ai      
2020 08  10.432947 19 51 14.60   -28 10 38.1   19.2o 20MK4     T08  C~44Ai      
2020 08  12.376370 19 50 25.35   -28 11 10.4   19.1c 20MK4     T05  C~44Ai      
2020 08  12.379570 19 50 25.24   -28 11 11.9   18.9c 20MK4     T05  C~44Ai      
2020 08  12.389699 19 50 24.97   -28 11 11.1   19.1c 20MK4     T05  C~44Ai      
2020 08  12.396103 19 50 24.81   -28 11 10.8   18.9c 20MK4     T05  C~44Ai      
2020 08  14.96289  19 49 22.10   -28 11 40.1   19.3R 20MK4     954  C~46y6      
2020 08  14.96439  19 49 22.06   -28 11 40.1   19.3R 20MK4     954  C~46y6      
2020 08  14.96738  19 49 21.97   -28 11 40.0   19.3R 20MK4     954  C~46y6      
2020 08  20.93793  19 47 07.74   -28 11 45.0   19.8R 20MK4     954  C~46y6      
2020 08  20.94243  19 47 07.64   -28 11 45.1   19.8R 20MK4     954  C~46y6      
2020 08  20.94392  19 47 07.60   -28 11 45.1   19.8R 20MK4     954  C~46y6      
2020 08  22.373418 19 46 38.13   -28 11 33.2   18.9o 20MK4     T08  C~44Ai      
2020 08  22.376639 19 46 38.08   -28 11 33.4   19.2o 20MK4     T08  C~44Ai      
2020 08  22.382255 19 46 37.94   -28 11 32.5   19.0o 20MK4     T08  C~44Ai      
2020 08  22.392848 19 46 37.72   -28 11 32.5   18.9o 20MK4     T08  C~44Ai      
2020 08  22.93640  19 46 26.84   -28 11 25.1   19.8R 20MK4     954  C~46y6      
2020 08  22.93940  19 46 26.79   -28 11 27.1   19.8R 20MK4     954  C~46y6      
2020 08  22.94089  19 46 26.77   -28 11 28.4   19.8R 20MK4     954  C~46y6      
2020 08  24.47180  19 45 56.92   -28 11 05.8         20MK4     Q62  C~4Alm      
2020 08  24.47520  19 45 56.85   -28 11 05.6   19.3G 20MK4     Q62  C~4Alm      
2020 08  24.91773  19 45 48.50   -28 11 00.2   19.7R 20MK4     954  C~46y6      
2020 08  24.92383  19 45 48.36   -28 11 00.1   19.7R 20MK4     954  C~46y6      
2020 08  24.92532  19 45 48.35   -28 10 59.9   19.4R 20MK4     954  C~46y6      
2020 09  08.37965  19 42 20.76   -28 03 14.7         20MK4     Q62  C~4Alm      
2020 09  08.38347  19 42 20.74   -28 03 14.9   18.8G 20MK4     Q62  C~4Alm      
2020 10  11.05073  19 43 17.30   -27 21 24.9   19.9G 20MK4     X02  C~4qnz      
2020 10  11.07950  19 43 17.65   -27 21 21.4   19.4G 20MK4     X02  C~4qnz      
2020 11  09.202175 19 53 57.653  -26 22 46.58  22.6G 20MK4     568  C~4OLN      
2020 11  09.204793 19 53 57.729  -26 22 46.10  22.5G 20MK4     568  C~4OLN      
2020 11  09.207358 19 53 57.806  -26 22 45.59  22.5G 20MK4     568  C~4OLN      
2020 11  09.45070  19 54 05.14   -26 22 11.8         20MK4     Q62  C~4qnz      
2020 11  09.45578  19 54 05.28   -26 22 10.7   19.7G 20MK4     Q62  C~4qnz      
2020 11  13.376457 19 56 07.19   -26 13 00.4   20.1G 20MK4     474  C~4qnz      
2020 11  13.383495 19 56 07.51   -26 12 58.8         20MK4     474  C~4qnz      

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    -0.24       0.00    -0.44
     2   0.0001      0.00     0.16       0.00    -0.16
     3   0.0137      0.00    -0.07       0.00    -0.01
     4   0.0137      0.00    -0.06       0.00    -0.05
     5   0.0137      0.00     0.02       0.00    -0.23
     6   0.0138      0.00    -0.08       0.00    -0.09
     7   0.0246      0.00    -0.20       0.00    -0.15
     8   0.0246      0.00    -0.01       0.00     0.03
     9   0.0246      0.00    -0.08       0.00    -0.10
    10   0.0656      0.00    -0.10       0.00     0.74
    11   0.0656      0.00     0.71       0.00    -1.30
    12   0.0656      0.00     0.58       0.00    -0.65
    13   0.0657      0.00     0.27       0.00    -0.58
    14   0.0676      0.00     0.75       0.00    -0.26
    15   0.0676      0.00     0.30       0.00    -0.18
    16   0.0676      0.00     0.22       0.00    -0.05
    17   0.0682      0.00    -0.44       0.00    -0.11
    18   0.0682      0.00    -0.76       0.00    -0.18
    19   0.0682      0.00    -0.81       0.00    -0.23
    20   0.0682      0.00    -0.57       0.00    -0.19
    21   0.0686      0.00     0.65       0.00     0.11
    22   0.0687      0.00     0.20       0.00     0.19
    23   0.0687      0.00     0.04       0.00     0.16
    24   0.0688      0.00     0.04       0.00     0.23
    25   0.0690      0.00     0.36       0.00     0.68
    26   0.0710      0.00    -0.52       0.00    -0.07
    27   0.0710      0.00     0.29       0.00     0.07
    28   0.0710      0.00     0.01       0.00    -0.00
    29   0.0710      0.00     0.55       0.00     0.48
    30   0.0741      0.00     0.24       0.00     0.13
    31   0.0741      0.00    -0.20       0.00    -0.10
    32   0.0764      0.00     0.01       0.00    -0.53
    33   0.0764      0.00    -0.09       0.00    -0.19
    34   0.0764      0.00    -0.64       0.00    -0.28
    35   0.0764      0.00    -0.45       0.00    -0.36
    36   0.0765      0.00     0.52       0.00    -0.21
    37   0.0835      0.00    -0.10       0.00     0.14
    38   0.0835      0.00    -0.17       0.00     0.25
    39   0.0836      0.00    -0.17       0.00     0.47
    40   0.0860      0.00    -0.16       0.00     0.16
    41   0.0860      0.00     0.22       0.00     0.17
    42   0.0860      0.00     0.16       0.00     0.10
    43   0.0927      0.00    -0.07       0.00    -0.27
    44   0.0927      0.00     0.53       0.00    -0.51
    45   0.0928      0.00    -0.73       0.00     0.10
    46   0.0928      0.00    -0.60       0.00    -0.12
    47   0.0935      0.00    -0.19       0.00    -0.03
    48   0.0935      0.00    -0.47       0.00     0.05
    49   0.0970      0.00    -0.38       0.00    -0.39
    50   0.0970      0.00    -0.09       0.00     0.10
    51   0.0984      0.00     0.34       0.00    -0.13
    52   0.0984      0.00     0.02       0.00    -0.33
    53   0.0985      0.00    -0.20       0.00     0.10
    54   0.0985      0.00     0.22       0.00    -0.06
    55   0.1010      0.00     0.09       0.00    -0.03
    56   0.1010      0.00     0.11       0.00     0.17
    57   0.1010      0.00     0.13       0.00     0.01
    58   0.1011      0.00     0.13       0.00     0.00
    59   0.1011      0.00     0.14       0.00     0.73
    60   0.1011      0.00    -0.00       0.00    -0.02
    61   0.1011      0.00     0.31       0.00     0.22
    62   0.1093      0.00     0.41       0.00    -0.32
    63   0.1094      0.00    -0.34       0.00    -0.58
    64   0.1094      0.00    -0.38       0.00    -0.61
    65   0.1094      0.00    -0.26       0.00     0.51
    66   0.1200      0.00     0.42       0.00     0.31
    67   0.1201      0.00     0.10       0.00    -0.08
    68   0.1201      0.00    -0.47       0.00    -0.04
    69   0.1201      0.00     0.63       0.00    -0.31
    70   0.1475      0.00     0.58       0.00     0.37
    71   0.1475      0.00    -0.42       0.00     0.56
    72   0.1475      0.00     0.17       0.00    -0.27
    73   0.1476      0.00    -0.13       0.00     0.18
    74   0.1499      0.00     0.08       0.00     0.02
    75   0.1500      0.00     0.03       0.00    -0.02
    76   0.1500      0.00     0.05       0.00    -0.00
    77   0.1500      0.00     0.08       0.00    -0.09
    78   0.1530      0.00    -0.30       0.00     0.31
    79   0.1530      0.00    -0.07       0.00    -0.43
    80   0.1530      0.00    -0.58       0.00     0.27
    81   0.1531      0.00     0.62       0.00     0.55
    82   0.1584      0.00     0.65       0.00     0.78
    83   0.1584      0.00     0.24       0.00    -0.67
    84   0.1584      0.00     0.09       0.00     0.27
    85   0.1584      0.00     0.16       0.00     0.65
    86   0.1655      0.00     0.21       0.00     0.17
    87   0.1655      0.00     0.16       0.00     0.18
    88   0.1655      0.00    -0.09       0.00     0.31
    89   0.1818      0.00    -0.01       0.00    -0.01
    90   0.1818      0.00    -0.05       0.00    -0.14
    91   0.1818      0.00    -0.16       0.00    -0.15
    92   0.1857      0.00     0.13       0.00    -0.08
    93   0.1858      0.00     0.39       0.00    -0.31
    94   0.1858      0.00     0.06       0.00     0.52
    95   0.1858      0.00     0.08       0.00     0.40
    96   0.1873      0.00    -0.30       0.00     2.26
    97   0.1873      0.00    -0.12       0.00     0.23
    98   0.1873      0.00     0.04       0.00    -1.09
    99   0.1915      0.00    -0.40       0.00     0.13
   100   0.1915      0.00    -0.44       0.00     0.28
   101   0.1927      0.00    -0.26       0.00     0.31
   102   0.1927      0.00    -0.57       0.00     0.32
   103   0.1927      0.00    -0.29       0.00     0.50
   104   0.2323      0.00    -0.57       0.00    -0.03
   105   0.2323      0.00    -0.28       0.00    -0.41
   106   0.3218      0.00    -0.37       0.00    -0.30
   107   0.3218      0.00    -0.55       0.00     0.19
   108   0.4016      0.00    -0.16       0.00    -0.08
   109   0.4016      0.00    -0.18       0.00     0.03
   110   0.4016      0.00    -0.16       0.00     0.19
   111   0.4022      0.00     0.45       0.00    -0.89
   112   0.4023      0.00     0.28       0.00    -0.51
   113   0.4130      0.00    -0.23       0.00    -0.75
   114   0.4130      0.00     1.21       0.00    -0.17

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.

20MK4    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj         6.323     6.323     6.323
ecceobj         0.048     0.048     0.048
incobj          6.694     6.694     6.694
qmin            5.257     5.364     5.985
qmax           17.883    10.415    20.100
amean           8.764     7.375    10.213
amin            6.323     6.323     6.323
amax           11.581     7.914    13.042
emean           0.321     0.208     0.352
emin            0.048     0.048     0.048
emax            0.544     0.320     0.541
imean           5.403     6.239     5.940
imin            4.840     5.360     5.303
imax            7.201     7.201     7.201
excite_mean     0.347     0.248     0.387
fracstop        0.000     0.000     0.000
cjmean          4.569     5.076     4.274

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       257.0     234.4     184.6
kozaiamp         70.8      45.8     164.2