Orbit Fit and Astrometric record for 15KG178

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: 15KG178   
# Created Fri Dec  3 02:13:25 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting    102 observations of    102
# Arc:  10.32y
# First observation: 2010/02/26
#  Last observation: 2020/06/23
# Chi-squared of fit:   108.53 DOF:    198 RMS:  0.18
# Min/Max residuals:    -1.02    0.72
# Exact a, adot, b, bdot, g, gdot:
  1.441923E-05  3.782776E-02 -9.216308E-06 -1.818259E-02  3.353998E-02  7.645265E-03
# Covariance matrix:
  2.4758E-13 -7.2083E-14 -6.4713E-14  2.9084E-14  1.3230E-14 -1.6072E-13
 -7.2083E-14  3.2471E-14  3.1687E-14 -1.5106E-14  1.4111E-14  8.4949E-14
 -6.4713E-14  3.1687E-14  1.4893E-13 -3.5651E-14  8.7337E-15  9.3980E-14
  2.9084E-14 -1.5106E-14 -3.5651E-14  1.1565E-14 -6.0714E-15 -4.4607E-14
  1.3230E-14  1.4111E-14  8.7337E-15 -6.0714E-15  4.9333E-14  3.7207E-14
 -1.6072E-13  8.4949E-14  9.3980E-14 -4.4607E-14  3.7207E-14  2.5054E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   11.587366 -131.644577    0.938724    0.066094   -0.322473  2455254.094006
# Heliocentric elements and errors
Epoch:              2455254.5000  =  2010/02/27
Mean Anomaly:           23.77962 +/-     0.002
Argument of Peri:      112.60024 +/-     0.003
Long of Asc Node:       69.46433 +/-     0.000
Inclination:            27.49098 +/-     0.000
Eccentricity:         0.27573736 +/-    0.0000
Semi-Major Axis:     39.32833110 +/-    0.0015
Time of Perihelion: 2449303.9232 +/-       0.6
Perihelion:          28.48404109 +/-    0.0014
Aphelion:            50.17262111 +/-    0.0021
Period (y)              246.6417 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -20.32466657 +/-    0.0001
Ecliptic Y          -21.45136090 +/-    0.0001
Ecliptic Z            5.98847889 +/-    0.0000
Ecliptic XDOT         0.00170558 +/-    0.0000
Ecliptic YDOT        -0.00272576 +/-    0.0000
Ecliptic ZDOT        -0.00132869 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.15144111 +/-    0.0001
Geocenter to KBO     29.81507902 +/-    0.0002
# Hcoef:  7.42

The following table shows the complete astrometric record for 15KG178. 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 (15KG178) followed by the observatory code and reference code for the source of the astrometry.

2010 02  26.59324  15 16 24.434  -06 08 13.19  22.2G 15KG178   F51  C~347I      
2010 05  16.38481  15 10 16.136  -05 40 32.21  21.5G 15KG178   F51  C~347I      
2010 05  18.54264  15 10 02.114  -05 40 04.10  21.6G 15KG178   F51  C~347I      
2011 04  27.48265  15 19 45.456  -07 22 17.95  22.6G 15KG178   F51  C~347I      
2011 04  28.44975  15 19 39.379  -07 21 59.27  21.9G 15KG178   F51  C~347I      
2011 05  11.53133  15 18 15.021  -07 18 08.41  22.1G 15KG178   F51  C~347I      
2012 02  10.63253  15 30 40.406  -09 15 54.55  22.9G 15KG178   F51  C~347I      
2012 04  27.53662  15 27 02.353  -08 56 26.11  21.8G 15KG178   F51  C~347I      
2012 04  27.54725  15 27 02.280  -08 56 25.85  22.0G 15KG178   F51  C~347I      
2012 05  01.44192  15 26 37.818  -08 55 16.58  21.8G 15KG178   F51  C~347I      
2012 05  01.45288  15 26 37.729  -08 55 16.56  21.9G 15KG178   F51  C~347I      
2012 05  20.35503  15 24 34.999  -08 50 34.95  21.8G 15KG178   F51  C~347I      
2012 06  07.29439  15 22 43.197  -08 48 14.37  21.4G 15KG178   F51  C~347I      
2013 04  15.50225  15 35 33.210  -10 32 29.97  22.3G 15KG178   F51  C~347I      
2013 04  15.51651  15 35 33.141  -10 32 29.72  21.6G 15KG178   F51  C~347I      
2013 04  15.53078  15 35 33.062  -10 32 29.53  21.7G 15KG178   F51  C~347I      
2013 04  15.54502  15 35 32.981  -10 32 29.31  23.3G 15KG178   F51  C~347I      
2013 06  04.37674  15 30 21.110  -10 21 10.75  22.2G 15KG178   F51  C~347I      
2013 06  04.39173  15 30 21.006  -10 21 10.12  21.6G 15KG178   F51  C~347I      
2013 06  04.40638  15 30 20.916  -10 21 10.12  21.6G 15KG178   F51  C~347I      
2013 06  04.42102  15 30 20.854  -10 21 09.69  21.3G 15KG178   F51  C~347I      
2014 05  04.45106  15 40 59.451  -11 57 48.38  21.7G 15KG178   F51  C~347I      
2014 05  04.47491  15 40 59.286  -11 57 47.55  22.0G 15KG178   F51  C~347I      
2014 05  04.48685  15 40 59.205  -11 57 47.47  22.0G 15KG178   F51  C~347I      
2014 05  10.42152  15 40 21.197  -11 56 23.16  21.8G 15KG178   F51  C~347I      
2014 05  10.44547  15 40 21.053  -11 56 22.96  21.7G 15KG178   F51  C~347I      
2014 05  10.45745  15 40 20.975  -11 56 22.24  22.7G 15KG178   F51  C~347I      
2014 05  22.41666  15 39 02.898  -11 53 54.98  21.7G 15KG178   F51  C~347I      
2014 05  24.36974  15 38 50.187  -11 53 34.38  21.9G 15KG178   F51  C~347I      
2014 05  24.38237  15 38 50.114  -11 53 34.36  22.4G 15KG178   F51  C~347I      
2014 05  24.43642  15 38 49.755  -11 53 33.75  22.2G 15KG178   F51  C~347I      
2014 05  24.44905  15 38 49.664  -11 53 33.68  22.3G 15KG178   F51  C~347I      
2014 06  03.41378  15 37 46.015  -11 52 07.80  22.0G 15KG178   F51  C~347I      
2014 06  03.42649  15 37 45.939  -11 52 07.52  22.2G 15KG178   F51  C~347I      
2014 06  03.43919  15 37 45.853  -11 52 07.45  21.8G 15KG178   F51  C~347I      
2014 06  03.45185  15 37 45.779  -11 52 07.47  21.9G 15KG178   F51  C~347I      
2014 07  26.26987  15 33 57.101  -11 56 21.36  22.5G 15KG178   F51  C~347I      
2014 07  26.28185  15 33 57.087  -11 56 21.55  22.5G 15KG178   F51  C~347I      
2014 07  26.29381  15 33 57.064  -11 56 21.70  22.6G 15KG178   F51  C~347I      
2014 07  26.30575  15 33 57.032  -11 56 21.95  22.6G 15KG178   F51  C~347I      
2014 07  28.27060  15 33 53.943  -11 56 57.42  22.0G 15KG178   F51  C~347I      
2014 07  28.27126  15 33 53.927  -11 56 57.48  22.2G 15KG178   F51  C~347I      
2014 07  28.28148  15 33 53.911  -11 56 57.72  21.8G 15KG178   F51  C~347I      
2015 05  20.27068  15 46 35.46   -13 23 10.1         15KG178   W84  C~2zsT      
2015 05  21.31193  15 46 28.63   -13 22 58.7   22.8V 15KG178   W84  C~2zsT      
2015 05  22.35447  15 46 21.80   -13 22 47.5         15KG178   W84  C~2zsT      
2015 05  24.26327  15 46 09.29   -13 22 28.0         15KG178   W84  C~2zsT      
2015 06  16.36346  15 43 45.889  -13 19 54.96  22.0G 15KG178   F51  C~347I      
2015 06  16.37817  15 43 45.809  -13 19 54.96  22.2G 15KG178   F51  C~347I      
2015 06  16.39280  15 43 45.718  -13 19 54.90  22.1G 15KG178   F51  C~347I      
2015 06  16.40749  15 43 45.633  -13 19 54.87  22.4G 15KG178   F51  C~347I      
2015 06  17.38254  15 43 40.108  -13 19 52.42  21.9G 15KG178   F51  C~347I      
2015 06  23.36211  15 43 07.645  -13 19 45.41  21.9G 15KG178   F51  C~347I      
2016 03  04.59091  15 59 18.134  -15 01 35.02  22.3G 15KG178   F51  C~347I      
2016 03  04.60369  15 59 18.114  -15 01 35.32  22.3G 15KG178   F51  C~347I      
2016 03  04.61647  15 59 18.109  -15 01 35.18  22.5G 15KG178   F51  C~347I      
2016 03  04.62926  15 59 18.103  -15 01 35.08  22.6G 15KG178   F51  C~347I      
2016 03  17.57181  15 59 02.315  -15 00 45.45  22.6G 15KG178   F51  C~347I      
2016 03  17.59425  15 59 02.284  -15 00 45.37  22.5G 15KG178   F51  C~347I      
2016 03  17.60549  15 59 02.232  -15 00 45.16  22.4G 15KG178   F51  C~347I      
2016 04  01.56024  15 58 18.538  -14 58 50.04  21.9G 15KG178   F51  C~347I      
2016 04  03.53350  15 58 10.931  -14 58 30.89  21.4G 15KG178   F51  C~347I      
2016 04  03.54540  15 58 10.869  -14 58 30.83  22.1G 15KG178   F51  C~347I      
2016 04  03.55732  15 58 10.820  -14 58 30.75  21.8G 15KG178   F51  C~347I      
2016 04  03.56926  15 58 10.774  -14 58 30.77  22.0G 15KG178   F51  C~347I      
2016 04  14.54145  15 57 21.425  -14 56 34.49  22.3G 15KG178   F51  C~347I      
2016 04  14.57713  15 57 21.249  -14 56 33.83  22.2G 15KG178   F51  C~347I      
2016 04  15.50919  15 57 16.575  -14 56 23.39  22.1G 15KG178   F51  C~347I      
2016 04  15.52119  15 57 16.514  -14 56 23.27  22.2G 15KG178   F51  C~347I      
2016 04  15.53315  15 57 16.443  -14 56 23.14  22.6G 15KG178   F51  C~347I      
2016 04  15.54513  15 57 16.405  -14 56 23.16  22.4G 15KG178   F51  C~347I      
2016 04  16.54854  15 57 11.260  -14 56 11.47  22.3G 15KG178   F51  C~347I      
2016 04  16.55828  15 57 11.225  -14 56 11.65  22.7G 15KG178   F51  C~347I      
2016 04  16.56802  15 57 11.157  -14 56 11.51  22.6G 15KG178   F51  C~347I      
2016 04  16.57772  15 57 11.106  -14 56 11.26  22.3G 15KG178   F51  C~347I      
2016 05  13.45338  15 54 31.166  -14 50 56.60  21.9G 15KG178   F51  C~347I      
2016 06  28.35969  15 49 51.770  -14 46 20.85  22.2G 15KG178   F51  C~347I      
2016 06  28.36034  15 49 51.766  -14 46 20.67  22.1G 15KG178   F51  C~347I      
2016 06  28.37109  15 49 51.703  -14 46 20.70  22.9G 15KG178   F51  C~347I      
2016 06  28.37173  15 49 51.706  -14 46 20.77  22.2G 15KG178   F51  C~347I      
2016 06  28.39389  15 49 51.615  -14 46 20.54  23.2G 15KG178   F51  C~347I      
2016 06  28.39453  15 49 51.603  -14 46 20.83  22.2G 15KG178   F51  C~347I      
2016 07  08.31143  15 49 07.182  -14 46 51.13  22.2G 15KG178   F51  C~347I      
2016 07  08.32253  15 49 07.124  -14 46 50.90  22.3G 15KG178   F51  C~347I      
2016 07  08.33360  15 49 07.077  -14 46 51.06  22.3G 15KG178   F51  C~347I      
2016 07  08.34495  15 49 07.034  -14 46 50.98  22.3G 15KG178   F51  C~347I      
2017 04  01.59154  16 05 30.044  -16 21 52.06  22.6G 15KG178   F51  C~347I      
2017 04  01.61223  16 05 29.975  -16 21 51.85  22.7G 15KG178   F51  C~347I      
2017 04  01.62258  16 05 29.962  -16 21 52.09  22.7G 15KG178   F51  C~347I      
2017 05  19.53822  16 01 08.588  -16 14 23.82  22.4G 15KG178   F51  C~347I      
2017 07  16.30296  15 55 48.430  -16 11 38.11  22.6G 15KG178   F51  C~347I      
2017 07  16.31273  15 55 48.395  -16 11 38.04  22.4G 15KG178   F51  C~347I      
2017 07  16.32251  15 55 48.365  -16 11 38.19  22.8G 15KG178   F51  C~347I      
2017 07  16.33225  15 55 48.325  -16 11 38.27  22.4G 15KG178   F51  C~347I      
2018 06  06.40979  16 06 28.554  -17 34 26.68  22.1G 15KG178   F51  C~347I      
2018 06  06.42092  16 06 28.482  -17 34 26.68  22.0G 15KG178   F51  C~347I      
2018 06  06.43209  16 06 28.418  -17 34 26.30  22.1G 15KG178   F51  C~347I      
2018 06  06.44324  16 06 28.339  -17 34 26.32  22.0G 15KG178   F51  C~347I      
2018 08  03.26839  16 02 10.851  -17 35 43.38  23.1G 15KG178   F51  C~347I      
2020 06  23.34802  16 19 08.138  -20 11 03.68  22.5w 15KG178   F51  C~3xrZ      
2020 06  23.35774  16 19 08.094  -20 11 03.79  22.3w 15KG178   F51  C~3xrZ      
2020 06  23.36763  16 19 08.023  -20 11 03.71  22.1w 15KG178   F51  C~3xrZ      

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     0.72       0.00    -0.06
     2   0.2157      0.00    -0.06       0.00     0.09
     3   0.2216      0.00    -0.08       0.00     0.24
     4   1.1633      0.00    -0.05       0.00     0.29
     5   1.1659      0.00    -0.28       0.00    -0.00
     6   1.2017      0.00     0.13       0.00     0.03
     7   1.9549      0.00    -0.71       0.00    -0.17
     8   2.1655      0.00     0.08       0.00     0.10
     9   2.1655      0.00    -0.00       0.00     0.16
    10   2.1762      0.00     0.18       0.00    -0.33
    11   2.1762      0.00    -0.09       0.00    -0.50
    12   2.2280      0.00    -0.03       0.00    -0.05
    13   2.2771      0.00     0.06       0.00     0.03
    14   3.1319      0.00    -0.02       0.00     0.03
    15   3.1319      0.00     0.13       0.00     0.03
    16   3.1319      0.00     0.14       0.00    -0.03
    17   3.1320      0.00     0.11       0.00    -0.07
    18   3.2684      0.00     0.14       0.00    -0.32
    19   3.2684      0.00    -0.02       0.00     0.22
    20   3.2685      0.00     0.00       0.00     0.13
    21   3.2685      0.00     0.44       0.00     0.47
    22   4.1830      0.00     0.22       0.00    -0.43
    23   4.1831      0.00     0.05       0.00     0.05
    24   4.1831      0.00    -0.01       0.00    -0.05
    25   4.1994      0.00     0.02       0.00     0.00
    26   4.1995      0.00     0.22       0.00    -0.12
    27   4.1995      0.00     0.24       0.00     0.43
    28   4.2322      0.00    -0.22       0.00     0.06
    29   4.2376      0.00    -0.12       0.00     0.05
    30   4.2376      0.00     0.04       0.00    -0.06
    31   4.2378      0.00     0.02       0.00    -0.00
    32   4.2378      0.00    -0.09       0.00    -0.06
    33   4.2651      0.00    -0.09       0.00    -0.15
    34   4.2651      0.00    -0.02       0.00     0.04
    35   4.2651      0.00    -0.11       0.00     0.02
    36   4.2652      0.00    -0.01       0.00    -0.09
    37   4.4098      0.00     0.01       0.00    -0.02
    38   4.4098      0.00     0.12       0.00    -0.00
    39   4.4099      0.00     0.10       0.00     0.06
    40   4.4099      0.00    -0.05       0.00     0.02
    41   4.4153      0.00     0.24       0.00     0.14
    42   4.4153      0.00     0.01       0.00     0.10
    43   4.4153      0.00     0.01       0.00     0.05
    44   5.2257      0.00    -0.46       0.00    -0.03
    45   5.2285      0.00    -0.51       0.00     0.09
    46   5.2314      0.00    -0.50       0.00     0.23
    47   5.2366      0.00    -1.02       0.00     0.18
    48   5.2999      0.00     0.01       0.00    -0.05
    49   5.2999      0.00     0.10       0.00    -0.09
    50   5.2999      0.00     0.01       0.00    -0.07
    51   5.3000      0.00     0.01       0.00    -0.08
    52   5.3026      0.00    -0.05       0.00    -0.10
    53   5.3190      0.00     0.13       0.00    -0.05
    54   6.0178      0.00     0.16       0.00     0.26
    55   6.0178      0.00    -0.05       0.00    -0.06
    56   6.0179      0.00    -0.03       0.00     0.06
    57   6.0179      0.00    -0.03       0.00     0.14
    58   6.0533      0.00    -0.09       0.00     0.05
    59   6.0534      0.00     0.17       0.00     0.00
    60   6.0534      0.00    -0.24       0.00     0.15
    61   6.0944      0.00    -0.02       0.00    -0.14
    62   6.0998      0.00     0.16       0.00     0.12
    63   6.0998      0.00    -0.05       0.00     0.07
    64   6.0998      0.00    -0.05       0.00     0.03
    65   6.0999      0.00    -0.01       0.00    -0.10
    66   6.1299      0.00    -0.13       0.00    -0.11
    67   6.1300      0.00    -0.04       0.00     0.15
    68   6.1326      0.00     0.03       0.00     0.02
    69   6.1326      0.00     0.05       0.00     0.01
    70   6.1326      0.00    -0.09       0.00     0.00
    71   6.1327      0.00     0.27       0.00    -0.15
    72   6.1354      0.00    -0.01       0.00     0.07
    73   6.1354      0.00     0.24       0.00    -0.22
    74   6.1355      0.00    -0.01       0.00    -0.20
    75   6.1355      0.00    -0.01       0.00    -0.06
    76   6.2091      0.00    -0.02       0.00    -0.15
    77   6.3347      0.00    -0.07       0.00    -0.15
    78   6.3347      0.00    -0.08       0.00     0.03
    79   6.3348      0.00    -0.21       0.00     0.01
    80   6.3348      0.00    -0.12       0.00    -0.06
    81   6.3348      0.00     0.19       0.00     0.19
    82   6.3348      0.00     0.05       0.00    -0.10
    83   6.3620      0.00     0.19       0.00    -0.36
    84   6.3620      0.00     0.01       0.00    -0.07
    85   6.3621      0.00    -0.01       0.00    -0.18
    86   6.3621      0.00     0.05       0.00    -0.04
    87   7.0938      0.00    -0.07       0.00     0.11
    88   7.0938      0.00     0.04       0.00     0.18
    89   7.0939      0.00     0.42       0.00    -0.13
    90   7.2250      0.00    -0.10       0.00     0.02
    91   7.3832      0.00    -0.05       0.00    -0.07
    92   7.3832      0.00    -0.06       0.00     0.06
    93   7.3832      0.00     0.01       0.00    -0.03
    94   7.3833      0.00    -0.07       0.00    -0.05
    95   8.2733      0.00     0.05       0.00    -0.05
    96   8.2733      0.00     0.06       0.00    -0.12
    97   8.2733      0.00     0.19       0.00     0.18
    98   8.2734      0.00     0.09       0.00     0.09
    99   8.4317      0.00     0.12       0.00    -0.08
   100  10.3210      0.00    -0.08       0.00     0.24
   101  10.3211      0.00     0.13       0.00     0.10
   102  10.3211      0.00    -0.06       0.00     0.14

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.

15KG178    quality flag:3

Type:           3:2E      3:2E      3:2E
Type:          6:4II     6:4II     6:4II

axisobj        39.129    39.129    39.129
ecceobj         0.273     0.273     0.273
incobj         27.527    27.527    27.527
qmin           26.983    26.983    26.983
qmax           52.499    52.501    52.498
amean          39.453    39.453    39.453
amin           39.063    39.062    39.066
amax           39.934    39.934    39.933
emean           0.265     0.265     0.265
emin            0.208     0.208     0.208
emax            0.315     0.315     0.315
imean          26.607    26.607    26.607
imin           25.105    25.105    25.105
imax           28.003    28.003    28.003
excite_mean     0.521     0.521     0.521
fracstop        1.000     1.000     1.000
cjmean          2.736     2.736     2.736

libcent 0       179.7     179.6     179.8
libamp  0        45.2      45.0      45.3
libcent 1       179.3     178.9     179.6
libamp  1       128.7     128.8     128.6
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        89.5      89.5      89.5
kozaiamp         31.5      31.5      31.5