Orbit Fit and Astrometric record for 459870

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: 459870    
# Created Fri Nov 22 02:07:06 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting    103 observations of    103
# Arc:   9.60y
# First observation: 2011/12/23
#  Last observation: 2021/07/28
# Chi-squared of fit:   268.86 DOF:    200 RMS:  0.29
# Min/Max residuals:    -1.20    0.78
# Exact a, adot, b, bdot, g, gdot:
 -2.813593E-05 -2.023221E-01 -6.790214E-06 -5.166436E-02  1.101118E-01 -8.780007E-02
# 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
    0.959121   85.310267   -0.096848    0.016387   -0.977568  2455918.652366
# Heliocentric elements and errors
Epoch:              2455918.5000  =  2011/12/23
Mean Anomaly:          303.54312 +/-     0.000
Argument of Peri:      279.73250 +/-     0.000
Long of Asc Node:      262.48212 +/-     0.000
Inclination:           165.55116 +/-     0.000
Eccentricity:         0.40131078 +/-    0.0000
Semi-Major Axis:     10.89348681 +/-    0.0000
Time of Perihelion: 2457978.0066 +/-       0.0
Perihelion:           6.52181309 +/-    0.0000
Aphelion:            15.26516054 +/-    0.0000
Period (y)               35.9549 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            0.72936215 +/-    0.0000
Ecliptic Y           10.03362989 +/-    0.0000
Ecliptic Z            0.15193572 +/-    0.0000
Ecliptic XDOT         0.00483286 +/-    0.0000
Ecliptic YDOT        -0.00256062 +/-    0.0000
Ecliptic ZDOT        -0.00132088 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   10.06136644 +/-    0.0000
Geocenter to KBO      9.08182933 +/-    0.0000
# Hcoef: 11.98

The following table shows the complete astrometric record for 459870. 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 (459870) followed by the observatory code and reference code for the source of the astrometry.

2011 12  23.15160  05 39 24.80   +24 18 52.8   20.9R 459870    950  C~19zs      
2011 12  23.15318  05 39 24.76   +24 18 52.8   20.9R 459870    950  C~19zs      
2011 12  23.15477  05 39 24.68   +24 18 52.6   21.0R 459870    950  C~19zs      
2011 12  23.15634  05 39 24.63   +24 18 52.7   20.8R 459870    950  C~19zs      
2011 12  23.15793  05 39 24.55   +24 18 52.5   20.8R 459870    950  C~19zs      
2011 12  23.15951  05 39 24.51   +24 18 52.4   20.7R 459870    950  C~19zs      
2013 01  05.16306  04 37 24.38   +19 40 35.0   21.4V 459870    G96  C~19zs      
2013 01  05.16890  04 37 24.24   +19 40 33.7   21.4V 459870    G96  C~19zs      
2013 01  05.17470  04 37 23.98   +19 40 33.7   21.5V 459870    G96  C~19zs      
2013 01  05.18050  04 37 23.80   +19 40 33.2   21.6V 459870    G96  C~19zs      
2013 11  26.32841  04 03 03.181  +14 45 35.89  21.2w 459870    F51  C~0zFY      
2013 11  26.34370  04 03 02.513  +14 45 33.58  21.3w 459870    F51  C~0zFY      
2013 11  26.35902  04 03 01.838  +14 45 31.05  21.4w 459870    F51  C~0zFY      
2013 11  26.37442  04 03 01.189  +14 45 28.52  21.4w 459870    F51  C~0zFY      
2014 01  03.22826  03 38 13.92   +13 14 36.2   21.4V 459870    G96  C~0zFY      
2014 01  03.23349  03 38 13.74   +13 14 35.9   21.3V 459870    G96  C~0zFY      
2014 01  03.23881  03 38 13.56   +13 14 35.1   21.1V 459870    G96  C~0zFY      
2014 01  03.24433  03 38 13.35   +13 14 35.0   21.1V 459870    G96  C~0zFY      
2014 01  04.11172  03 37 45.47   +13 12 56.4   21.2R 459870    291  C~0zFY      
2014 01  04.11868  03 37 45.22   +13 12 55.9   21.1V 459870    G96  C~0zFY      
2014 01  04.12116  03 37 45.15   +13 12 54.5   21.1R 459870    291  C~0zFY      
2014 01  04.13033  03 37 44.91   +13 12 54.1   21.6V 459870    G96  C~0zFY      
2014 01  04.13580  03 37 44.70   +13 12 53.6   21.5R 459870    291  C~0zFY      
2014 01  04.13614  03 37 44.75   +13 12 53.5   20.9V 459870    G96  C~0zFY      
2014 01  04.18455  03 37 43.17   +13 12 48.1   21.9R 459870    926  C~0zFY      
2014 01  04.19896  03 37 42.66   +13 12 46.6   21.0R 459870    926  C~0zFY      
2014 01  07.08109  03 36 12.81   +13 07 32.1   22. V 459870    711  C~0zFY      
2014 01  07.08609  03 36 12.66   +13 07 31.3         459870    711  C~0zFY      
2014 01  07.09103  03 36 12.49   +13 07 30.9         459870    711  C~0zFY      
2014 01  07.09598  03 36 12.36   +13 07 30.4         459870    711  C~0zFY      
2014 01  07.11481  03 36 11.83   +13 07 28.2   21.4V 459870    G96  C~0zFY      
2014 01  07.12004  03 36 11.68   +13 07 27.5   21.5V 459870    G96  C~0zFY      
2014 01  07.12526  03 36 11.49   +13 07 26.7   20.8V 459870    G96  C~0zFY      
2014 09  22.32731  03 38 27.52   +10 21 46.6   20.9R 459870    H36  C~19zs      
2014 09  22.34785  03 38 26.91   +10 21 41.9   21.2R 459870    H36  C~19zs      
2014 09  22.40079  03 38 25.40   +10 21 30.9   21.0R 459870    H36  C~19zs      
2014 09  22.41554  03 38 24.98   +10 21 28.0   20.9R 459870    H36  C~19zs      
2014 09  26.38063  03 36 26.17   +10 07 20.3   21.0R 459870    H36  C~19zs      
2014 09  26.39858  03 36 25.53   +10 07 16.0   20.9R 459870    H36  C~19zs      
2014 10  25.51723  03 17 46.674  +08 11 34.45  20.8w 459870    F51  C~1BSD      
2014 10  25.55609  03 17 44.931  +08 11 24.90  21.0w 459870    F51  C~1BSD      
2014 11  29.26207  02 51 14.273  +05 54 59.76  20.4i 459870    F51  C~1DO3      
2014 11  29.28453  02 51 13.288  +05 54 55.23  20.5i 459870    F51  C~1DO3      
2014 11  29.29574  02 51 12.756  +05 54 52.91  20.3i 459870    F51  C~1DO3      
2015 01  16.22206  02 25 09.825  +04 13 17.13  21.2w 459870    F51  C~1GmD      
2015 01  16.23435  02 25 09.587  +04 13 16.62  21.1w 459870    F51  C~1GmD      
2015 01  16.24659  02 25 09.347  +04 13 16.09  21.2w 459870    F51  C~1GmD      
2015 01  16.25879  02 25 09.112  +04 13 15.67  21.1w 459870    F51  C~1GmD      
2015 10  13.40771  02 07 37.363  -01 45 09.74  20.5w 459870    F51  C~1Yeo      
2015 10  13.42185  02 07 36.651  -01 45 14.66  20.7w 459870    F51  C~1Yeo      
2015 10  13.45010  02 07 35.232  -01 45 24.28  20.6w 459870    F51  C~1Yeo      
2015 11  08.30743  01 45 45.967  -03 59 01.68  21.0w 459870    F51  C~1cI8      
2015 11  08.31837  01 45 45.417  -03 59 04.65  20.6w 459870    F51  C~1cI8      
2015 11  08.32936  01 45 44.907  -03 59 07.49  20.6w 459870    F51  C~1cI8      
2015 11  08.34039  01 45 44.310  -03 59 10.22  20.7w 459870    F51  C~1cI8      
2015 12  01.29904  01 28 33.035  -05 21 10.06  20.8w 459870    F51  C~1eOE      
2015 12  01.31099  01 28 32.565  -05 21 12.09  20.8w 459870    F51  C~1eOE      
2015 12  01.32296  01 28 32.084  -05 21 13.96  20.9w 459870    F51  C~1eOE      
2015 12  01.33491  01 28 31.611  -05 21 15.75  20.9w 459870    F51  C~1eOE      
2016 01  03.22182  01 12 45.422  -06 05 04.35  21.4w 459870    F51  C~1hVn      
2016 01  03.24267  01 12 45.033  -06 05 04.53  21.3w 459870    F51  C~1hVn      
2016 01  03.25308  01 12 44.844  -06 05 04.46  21.4w 459870    F51  C~1hVn      
2016 09  09.33909  01 01 23.19   -11 10 12.3   20.1V 459870    G96  C~1yFk      
2016 09  09.34215  01 01 23.06   -11 10 13.7   20.0V 459870    G96  C~1yFk      
2016 09  09.34517  01 01 22.88   -11 10 15.0   20.2V 459870    G96  C~1yFk      
2016 09  09.34818  01 01 22.74   -11 10 16.5   20.1V 459870    G96  C~1yFk      
2016 10  01.25432  00 41 33.56   -13 36 17.0   20.4V 459870    691  C~1zND      
2016 10  01.26353  00 41 33.07   -13 36 20.6   20.3V 459870    691  C~1zND      
2016 10  01.27277  00 41 32.54   -13 36 24.0   20.4V 459870    691  C~1zND      
2016 10  02.25545  00 40 36.72   -13 42 24.6   20.3V 459870    691  C~1zND      
2016 10  02.26292  00 40 36.32   -13 42 27.4   20.6V 459870    691  C~1zND      
2016 10  02.27041  00 40 35.88   -13 42 30.2   20.7V 459870    691  C~1zND      
2016 10  25.34857  00 19 17.945  -15 40 21.67  20.7w 459870    F51  C~20nd      
2016 10  25.36130  00 19 17.278  -15 40 24.76  20.7w 459870    F51  C~20nd      
2016 10  25.37408  00 19 16.601  -15 40 27.87  20.6w 459870    F51  C~20nd      
2016 10  25.38685  00 19 15.935  -15 40 30.84  20.6w 459870    F51  C~20nd      
2016 11  20.07245  00 00 05.39   -16 48 44.1   20.8G 459870    G45  C~5fP5      
2016 11  20.14081  00 00 02.87   -16 48 50.6   20.7G 459870    G45  C~5fP5      
2016 11  20.17202  00 00 01.74   -16 48 51.3   20.9G 459870    G45  C~5fP5      
2016 11  20.20494  00 00 00.54   -16 48 53.8   20.2G 459870    G45  C~5fP5      
2018 06  11.56061  22 24 27.604  -24 08 19.35  20.9w 459870    F51  C~2g2U      
2018 06  11.58126  22 24 26.998  -24 08 24.83  21.0w 459870    F51  C~2g2U      
2018 06  11.59155  22 24 26.683  -24 08 27.81  21.1w 459870    F51  C~2g2U      
2019 06  29.46254  20 15 25.313  -29 26 22.75  20.7w 459870    F51  C~39fb      
2019 06  29.47371  20 15 24.670  -29 26 24.24  20.5w 459870    F51  C~39fb      
2019 06  29.48493  20 15 24.035  -29 26 26.01  21.0w 459870    F51  C~39fb      
2019 06  29.49609  20 15 23.372  -29 26 27.83  20.6w 459870    F51  C~39fb      
2019 08  05.97821  19 37 45.78   -30 31 16.1   21.3g 459870    W84  C~46dR      
2019 08  05.98548  19 37 45.41   -30 31 16.2   20.8r 459870    W84  C~499E      
2019 08  05.99276  19 37 44.94   -30 31 16.7         459870    W84  C~46dR      
2019 08  06.00006  19 37 44.54   -30 31 16.9         459870    W84  C~499E      
2019 08  06.00734  19 37 44.12   -30 31 17.3         459870    W84  C~46dR      
2019 08  06.01463  19 37 43.69   -30 31 17.4         459870    W84  C~499E      
2019 08  06.02192  19 37 43.30   -30 31 17.8         459870    W84  C~46dR      
2019 08  06.02919  19 37 42.85   -30 31 18.1         459870    W84  C~499E      
2019 08  06.98437  19 36 47.57   -30 31 53.8         459870    W84  C~46dR      
2019 08  06.99165  19 36 47.16   -30 31 54.1         459870    W84  C~499E      
2019 08  07.01356  19 36 45.89   -30 31 55.0         459870    W84  C~46dR      
2019 08  07.02083  19 36 45.47   -30 31 55.0         459870    W84  C~499E      
2021 07  28.304591 16 56 07.289  -21 59 47.53  21.7w 459870    F51  C~4xJT      
2021 07  28.316041 16 56 06.943  -21 59 46.67  21.7w 459870    F51  C~4xJT      
2021 07  28.327500 16 56 06.604  -21 59 45.72  21.6w 459870    F51  C~4xJT      
2021 07  28.339013 16 56 06.237  -21 59 45.00  21.6w 459870    F51  C~4xJT      

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    -0.20       0.00    -0.14
     2   0.0000      0.00     0.08       0.00    -0.06
     3   0.0000      0.00    -0.22       0.00    -0.18
     4   0.0000      0.00    -0.09       0.00    -0.00
     5   0.0000      0.00    -0.40       0.00    -0.12
     6   0.0000      0.00    -0.11       0.00    -0.14
     7   1.0377      0.00    -0.20       0.00    -0.00
     8   1.0377      0.00     0.75       0.00    -0.76
     9   1.0377      0.00    -0.12       0.00    -0.22
    10   1.0377      0.00     0.21       0.00    -0.18
    11   1.9279      0.00     0.14       0.00    -0.20
    12   1.9280      0.00     0.10       0.00    -0.03
    13   1.9280      0.00    -0.02       0.00    -0.07
    14   1.9281      0.00     0.31       0.00    -0.10
    15   2.0317      0.00     0.52       0.00    -0.00
    16   2.0317      0.00     0.39       0.00     0.30
    17   2.0317      0.00     0.31       0.00     0.11
    18   2.0317      0.00    -0.13       0.00     0.64
    19   2.0341      0.00    -0.47       0.00     0.23
    20   2.0341      0.00    -0.82       0.00     0.52
    21   2.0341      0.00    -0.69       0.00    -0.61
    22   2.0342      0.00     0.18       0.00     0.02
    23   2.0342      0.00    -0.33       0.00     0.13
    24   2.0342      0.00     0.60       0.00     0.07
    25   2.0343      0.00     0.39       0.00     0.08
    26   2.0344      0.00    -0.27       0.00     0.20
    27   2.0422      0.00    -0.49       0.00     0.25
    28   2.0423      0.00    -0.42       0.00    -0.03
    29   2.0423      0.00    -0.69       0.00     0.10
    30   2.0423      0.00    -0.35       0.00     0.12
    31   2.0423      0.00     0.30       0.00    -0.05
    32   2.0424      0.00     0.47       0.00    -0.20
    33   2.0424      0.00     0.03       0.00    -0.45
    34   2.7493      0.00     0.26       0.00     0.16
    35   2.7493      0.00     0.08       0.00    -0.24
    36   2.7495      0.00     0.59       0.00    -0.15
    37   2.7495      0.00     0.75       0.00     0.05
    38   2.7604      0.00     0.51       0.00     0.14
    39   2.7604      0.00    -0.60       0.00    -0.25
    40   2.8402      0.00     0.14       0.00    -0.06
    41   2.8403      0.00     0.11       0.00     0.14
    42   2.9353      0.00     0.27       0.00     0.06
    43   2.9353      0.00     0.44       0.00     0.11
    44   2.9354      0.00    -0.07       0.00     0.08
    45   3.0666      0.00    -0.03       0.00    -0.08
    46   3.0666      0.00    -0.04       0.00    -0.02
    47   3.0667      0.00    -0.10       0.00     0.02
    48   3.0667      0.00    -0.10       0.00     0.16
    49   3.8063      0.00     0.09       0.00     0.16
    50   3.8064      0.00     0.08       0.00     0.05
    51   3.8064      0.00     0.12       0.00     0.04
    52   3.8772      0.00    -0.01       0.00    -0.25
    53   3.8773      0.00    -0.08       0.00    -0.29
    54   3.8773      0.00     0.50       0.00    -0.19
    55   3.8773      0.00    -0.20       0.00     0.03
    56   3.9402      0.00    -0.02       0.00     0.11
    57   3.9402      0.00     0.07       0.00    -0.03
    58   3.9402      0.00     0.00       0.00    -0.01
    59   3.9403      0.00     0.04       0.00     0.09
    60   4.0303      0.00     0.08       0.00     0.06
    61   4.0304      0.00    -0.00       0.00     0.07
    62   4.0304      0.00     0.04       0.00     0.23
    63   4.7151      0.00    -0.03       0.00     0.22
    64   4.7151      0.00     0.35       0.00     0.10
    65   4.7151      0.00    -0.05       0.00     0.06
    66   4.7151      0.00     0.14       0.00    -0.19
    67   4.7751      0.00    -0.88       0.00     0.12
    68   4.7751      0.00    -0.31       0.00    -0.07
    69   4.7751      0.00    -0.32       0.00    -0.06
    70   4.7778      0.00    -0.58       0.00     0.03
    71   4.7779      0.00    -0.15       0.00    -0.04
    72   4.7779      0.00    -0.31       0.00    -0.10
    73   4.8411      0.00    -0.13       0.00     0.10
    74   4.8411      0.00    -0.08       0.00     0.07
    75   4.8411      0.00    -0.13       0.00     0.02
    76   4.8412      0.00    -0.03       0.00     0.11
    77   4.9115      0.00    -0.20       0.00    -0.30
    78   4.9117      0.00    -0.25       0.00    -1.20
    79   4.9118      0.00     0.03       0.00     0.63
    80   4.9119      0.00     0.17       0.00     0.78
    81   6.4679      0.00     0.39       0.00     0.09
    82   6.4680      0.00     0.35       0.00    -0.00
    83   6.4680      0.00     0.14       0.00    -0.30
    84   7.5163      0.00     0.14       0.00    -0.22
    85   7.5163      0.00     0.15       0.00     0.06
    86   7.5163      0.00     0.34       0.00     0.06
    87   7.5163      0.00     0.05       0.00    -0.00
    88   7.6190      0.00    -0.52       0.00    -0.14
    89   7.6190      0.00     0.30       0.00     0.07
    90   7.6190      0.00    -0.38       0.00    -0.12
    91   7.6190      0.00     0.02       0.00    -0.01
    92   7.6190      0.00     0.10       0.00    -0.11
    93   7.6191      0.00     0.05       0.00     0.10
    94   7.6191      0.00     0.59       0.00     0.00
    95   7.6191      0.00     0.22       0.00     0.01
    96   7.6217      0.00    -0.27       0.00    -0.27
    97   7.6217      0.00    -0.09       0.00    -0.29
    98   7.6218      0.00    -0.06       0.00    -0.35
    99   7.6218      0.00    -0.03       0.00    -0.07
   100   9.5966      0.00    -0.13       0.00     0.17
   101   9.5966      0.00    -0.09       0.00     0.11
   102   9.5966      0.00     0.04       0.00     0.12
   103   9.5967      0.00    -0.21       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.

459870    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        10.913    10.913    10.913
ecceobj         0.399     0.399     0.399
incobj        165.565   165.565   165.565
qmin            6.241     6.241     6.241
qmax           15.575    15.576    15.575
amean          10.919    10.919    10.919
amin           10.900    10.900    10.900
amax           10.942    10.943    10.942
emean           0.416     0.416     0.416
emin            0.391     0.391     0.391
emax            0.427     0.427     0.427
imean         169.036   169.035   169.037
imin          166.978   166.978   166.978
imax          170.175   170.174   170.177
excite_mean     0.458     0.458     0.458
fracstop        0.001     0.001     0.001
cjmean          1.682     1.682     1.682

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       210.2     210.2     210.2
kozaiamp        172.9     172.9     172.9