Orbit Fit and Astrometric record for 12FZ78

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: 12FZ78    
# Created Fri Dec  3 02:11:24 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     96 observations of     96
# Arc:   5.99y
# First observation: 2010/03/16
#  Last observation: 2016/03/10
# Chi-squared of fit:   116.08 DOF:    186 RMS:  0.19
# Min/Max residuals:    -0.72    0.66
# Exact a, adot, b, bdot, g, gdot:
  3.249759E-05  2.356280E-01 -9.260328E-06 -6.749538E-02  1.052026E-01  4.152145E-03
# Covariance matrix:
  1.2677E-13 -5.9667E-14 -1.4851E-14  1.1696E-14 -1.0928E-14 -1.9208E-14
 -5.9667E-14  3.7988E-14  1.1311E-14 -8.8855E-15  1.2825E-14  1.4289E-14
 -1.4851E-14  1.1311E-14  7.2199E-14 -1.9047E-14  3.7379E-15  4.8729E-15
  1.1696E-14 -8.8855E-15 -1.9047E-14  6.7136E-15 -2.8434E-15 -3.8391E-15
 -1.0928E-14  1.2825E-14  3.7379E-15 -2.8434E-15  2.2867E-14  3.3154E-15
 -1.9208E-14  1.4289E-14  4.8729E-15 -3.8391E-15  3.3154E-15  6.3228E-15
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.522508  169.986110   -0.093737    0.112939   -0.988073  2455271.847316
# Heliocentric elements and errors
Epoch:              2455272.5000  =  2010/03/17
Mean Anomaly:            1.86916 +/-     3.103
Argument of Peri:      154.13709 +/-     0.000
Long of Asc Node:       10.20251 +/-     0.000
Inclination:            17.07173 +/-     0.000
Eccentricity:         0.44089120 +/-    0.0000
Semi-Major Axis:     18.73761659 +/-    0.0007
Time of Perihelion: 2455118.6798 +/-     255.4
Perihelion:          10.47636624 +/-    0.0004
Aphelion:            26.99886695 +/-    0.0010
Period (y)               81.1110 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -10.29184786 +/-    0.0000
Ecliptic Y            1.71999661 +/-    0.0000
Ecliptic Z            1.07969406 +/-    0.0000
Ecliptic XDOT        -0.00136625 +/-    0.0000
Ecliptic YDOT        -0.00597948 +/-    0.0000
Ecliptic ZDOT        -0.00173295 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   10.49028378 +/-    0.0000
Geocenter to KBO      9.50550468 +/-    0.0000
# Hcoef: 11.21

The following table shows the complete astrometric record for 12FZ78. 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 (12FZ78) followed by the observatory code and reference code for the source of the astrometry.

2010 03  16.34655  11 33 34.38   +09 57 31.8   20.6V 12FZ78    G96  C~1vWc      
2010 03  16.35491  11 33 34.20   +09 57 32.1   20.5V 12FZ78    G96  C~1vWd      
2010 03  16.36330  11 33 34.05   +09 57 32.9   20.7V 12FZ78    G96  C~1vWd      
2010 03  16.37163  11 33 33.98   +09 57 33.6   20.8V 12FZ78    G96  C~1vWd      
2010 05  17.30051  11 22 26.668  +10 03 11.20  21.0G 12FZ78    F51  C~2r7M      
2010 05  17.31240  11 22 26.646  +10 03 10.68  20.9G 12FZ78    F51  C~2r7M      
2010 06  30.27153  11 26 21.425  +08 47 39.16  21.8G 12FZ78    F51  C~2r7M      
2010 06  30.27767  11 26 21.511  +08 47 38.32  21.7G 12FZ78    F51  C~2r7M      
2011 03  10.56741  12 17 49.303  +00 55 51.77  20.9G 12FZ78    F51  C~2r7M      
2011 03  12.57260  12 17 19.143  +00 57 50.47  21.0G 12FZ78    F51  C~2r7M      
2011 03  12.58582  12 17 18.943  +00 57 51.21  21.4G 12FZ78    F51  C~2r7M      
2012 02  28.52142  13 00 17.545  -07 39 55.36  21.4w 12FZ78    F51  C~1vWd      
2012 02  28.53579  13 00 17.385  -07 39 55.06  21.5w 12FZ78    F51  C~1vWd      
2012 02  28.55021  13 00 17.226  -07 39 54.62  21.5w 12FZ78    F51  C~1vWd      
2012 02  28.56464  13 00 17.057  -07 39 54.37  21.5w 12FZ78    F51  C~1vWd      
2012 03  29.40417  12 53 27.49   -07 18 57.8   21.3V 12FZ78    G96  C~0frT      
2012 03  29.41041  12 53 27.38   -07 18 57.2   21.8V 12FZ78    G96  C~0frT      
2012 03  29.41670  12 53 27.24   -07 18 56.5   21.8V 12FZ78    G96  C~0frT      
2012 03  29.42304  12 53 27.13   -07 18 56.5   21.3V 12FZ78    G96  C~0frT      
2012 04  14.34105  12 49 21.717  -07 03 53.62  21.1w 12FZ78    F51  C@0613      
2012 04  14.35590  12 49 21.488  -07 03 52.81  21.2w 12FZ78    F51  C@0613      
2012 04  14.37074  12 49 21.258  -07 03 51.97  21.2w 12FZ78    F51  C@0613      
2012 04  14.38557  12 49 21.030  -07 03 51.13  21.2w 12FZ78    F51  C@0613      
2012 04  22.24940  12 47 25.72   -06 56 39.8   21.9V 12FZ78    G96  C~0g7u      
2012 04  22.25654  12 47 25.62   -06 56 39.6   21.6V 12FZ78    G96  C~0g7u      
2012 04  22.26378  12 47 25.47   -06 56 39.3   21.6V 12FZ78    G96  C~0g7u      
2012 04  22.27102  12 47 25.40   -06 56 39.3   21.2V 12FZ78    G96  C~0g7u      
2012 04  25.33885  12 46 42.635  -06 54 00.41  20.9G 12FZ78    F51  C~2r7M      
2012 04  25.35000  12 46 42.469  -06 53 59.94  21.5G 12FZ78    F51  C~2r7M      
2012 04  26.39888  12 46 28.196  -06 53 07.31  21.2G 12FZ78    F51  C~2r7M      
2012 04  26.40946  12 46 28.037  -06 53 06.64  21.2G 12FZ78    F51  C~2r7M      
2012 04  28.35070  12 46 02.145  -06 51 31.81  21.8G 12FZ78    F51  C~2r7M      
2012 04  28.36267  12 46 01.988  -06 51 31.19  21.3G 12FZ78    F51  C~2r7M      
2012 05  17.18674  12 42 32.50   -06 39 43.9   21.4R 12FZ78    688  C~0hfq      
2012 05  17.22909  12 42 32.13   -06 39 42.8         12FZ78    688  C~0hfq      
2013 01  11.66464  13 38 55.148  -14 28 28.13  21.8G 12FZ78    F51  C~2r7M      
2013 03  05.52098  13 37 42.616  -15 12 12.54  21.6G 12FZ78    F51  C~2r7M      
2013 03  05.53205  13 37 42.475  -15 12 12.62  21.4G 12FZ78    F51  C~2r7M      
2013 03  05.54422  13 37 42.372  -15 12 12.61  22.3G 12FZ78    F51  C~2r7M      
2013 04  09.44688  13 29 56.016  -14 55 55.59  21.6G 12FZ78    F51  C~2r7M      
2013 04  09.46155  13 29 55.785  -14 55 54.93  22.0G 12FZ78    F51  C~2r7M      
2013 04  09.47625  13 29 55.560  -14 55 54.23  21.5G 12FZ78    F51  C~2r7M      
2013 04  09.49087  13 29 55.327  -14 55 53.46  21.3G 12FZ78    F51  C~2r7M      
2013 04  17.02848  13 27 58.68   -14 49 20.9   21.3r 12FZ78    W84  C~1vWd      
2013 04  17.03262  13 27 58.62   -14 49 20.7         12FZ78    W84  C~1vWd      
2013 04  17.04096  13 27 58.48   -14 49 20.3         12FZ78    W84  C~1vWd      
2013 05  04.34973  13 23 41.732  -14 33 05.99  20.6G 12FZ78    F51  C~2r7M      
2013 05  04.36607  13 23 41.499  -14 33 05.22  21.8G 12FZ78    F51  C~2r7M      
2013 05  04.38241  13 23 41.274  -14 33 04.24  21.6G 12FZ78    F51  C~2r7M      
2013 05  04.39875  13 23 41.044  -14 33 03.39  21.7G 12FZ78    F51  C~2r7M      
2014 01  09.64253  14 13 01.085  -20 28 56.14  22.0w 12FZ78    F51  C~1vWd      
2014 01  09.64664  14 13 01.129  -20 28 56.91  22.4w 12FZ78    F51  C~1vWd      
2014 01  09.65073  14 13 01.148  -20 28 57.12  22.4w 12FZ78    F51  C~1vWd      
2014 01  09.65483  14 13 01.222  -20 28 57.73  22.0w 12FZ78    F51  C~1vWd      
2014 04  05.47323  14 09 08.764  -21 40 10.52  22.1w 12FZ78    F51  C~1vWd      
2014 04  05.48512  14 09 08.580  -21 40 10.51  22.2w 12FZ78    F51  C~1vWd      
2014 04  05.49702  14 09 08.407  -21 40 09.96  21.9w 12FZ78    F51  C~1vWd      
2014 04  05.50892  14 09 08.235  -21 40 09.56  21.8w 12FZ78    F51  C~1vWd      
2014 04  23.47883  14 04 36.160  -21 29 19.05  21.1G 12FZ78    F51  C~2r7M      
2014 04  29.40094  14 03 04.406  -21 24 27.79  21.8G 12FZ78    F51  C~2r7M      
2014 04  29.41154  14 03 04.242  -21 24 27.38  22.3G 12FZ78    F51  C~2r7M      
2014 04  29.42212  14 03 04.072  -21 24 26.97  22.1G 12FZ78    F51  C~2r7M      
2014 04  29.43271  14 03 03.913  -21 24 26.29  21.8G 12FZ78    F51  C~2r7M      
2014 05  07.39710  14 01 03.367  -21 17 15.78  21.6r 12FZ78    F51  C~1vWd      
2014 05  07.40898  14 01 03.187  -21 17 15.23  21.8r 12FZ78    F51  C~1vWd      
2014 05  07.41952  14 01 03.042  -21 17 14.59  21.7r 12FZ78    F51  C~1vWd      
2014 05  07.43006  14 01 02.868  -21 17 14.07  22.0r 12FZ78    F51  C~1vWd      
2014 05  23.31390  13 57 25.785  -21 01 59.96  21.9w 12FZ78    F51  C~1vWd      
2014 05  23.32518  13 57 25.640  -21 01 59.32  21.8w 12FZ78    F51  C~1vWd      
2014 05  23.34773  13 57 25.358  -21 01 57.97  22.1w 12FZ78    F51  C~1vWd      
2014 06  01.32500  13 55 43.827  -20 53 37.37  22.8G 12FZ78    F51  C~2r7M      
2014 06  01.33690  13 55 43.703  -20 53 36.61  23.3G 12FZ78    F51  C~2r7M      
2014 06  04.30964  13 55 14.405  -20 50 59.92  22.0G 12FZ78    F51  C~2r7M      
2014 06  04.32125  13 55 14.305  -20 50 59.19  21.5G 12FZ78    F51  C~2r7M      
2014 06  04.33289  13 55 14.190  -20 50 58.81  22.7G 12FZ78    F51  C~2r7M      
2015 03  31.52679  14 47 20.648  -27 09 03.94  22.5G 12FZ78    F51  C~2r7M      
2015 04  01.54148  14 47 08.533  -27 09 12.29  22.2G 12FZ78    F51  C~2r7M      
2015 04  16.46607  14 43 47.605  -27 07 50.65  23.2G 12FZ78    F51  C~2r7M      
2015 04  18.46645  14 43 18.099  -27 07 12.14  21.6G 12FZ78    F51  C~2r7M      
2015 04  18.47743  14 43 17.928  -27 07 12.31  22.6G 12FZ78    F51  C~2r7M      
2015 04  18.48837  14 43 17.777  -27 07 11.95  22.7G 12FZ78    F51  C~2r7M      
2015 04  24.43577  14 41 47.673  -27 04 43.05  22.2G 12FZ78    F51  C~2r7M      
2015 04  24.44683  14 41 47.527  -27 04 42.89  22.3G 12FZ78    F51  C~2r7M      
2015 04  24.45779  14 41 47.336  -27 04 42.38  22.2G 12FZ78    F51  C~2r7M      
2015 04  24.46876  14 41 47.175  -27 04 42.29  22.3G 12FZ78    F51  C~2r7M      
2015 05  15.41994  14 36 23.045  -26 50 09.18  21.4G 12FZ78    F51  C~2r7M      
2015 05  18.38433  14 35 38.954  -26 47 32.69  22.2G 12FZ78    F51  C~2r7M      
2015 05  18.39492  14 35 38.804  -26 47 32.23  22.9G 12FZ78    F51  C~2r7M      
2015 05  18.40549  14 35 38.629  -26 47 31.15  22.6G 12FZ78    F51  C~2r7M      
2015 05  18.41612  14 35 38.483  -26 47 30.98  22.4G 12FZ78    F51  C~2r7M      
2015 06  07.33475  14 31 16.680  -26 28 25.37  22.1G 12FZ78    F51  C~2r7M      
2015 06  08.32091  14 31 05.739  -26 27 27.45  21.9G 12FZ78    F51  C~2r7M      
2015 06  08.33153  14 31 05.625  -26 27 26.62  22.0G 12FZ78    F51  C~2r7M      
2015 06  08.34212  14 31 05.517  -26 27 26.14  22.6G 12FZ78    F51  C~2r7M      
2015 06  24.29018  14 28 43.514  -26 12 38.84  22.3G 12FZ78    F51  C~2r7M      
2016 03  10.59781  15 25 29.053  -31 11 12.59  22.5G 12FZ78    F51  C~2r7M      

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     0.49       0.00    -0.41
     2   0.0000      0.00    -0.15       0.00    -0.59
     3   0.0000      0.00    -0.34       0.00    -0.27
     4   0.0001      0.00     0.66       0.00    -0.05
     5   0.1696      0.00    -0.19       0.00     0.17
     6   0.1697      0.00    -0.09       0.00     0.36
     7   0.2900      0.00    -0.17       0.00     0.08
     8   0.2900      0.00     0.00       0.00     0.12
     9   0.9835      0.00     0.12       0.00     0.11
    10   0.9890      0.00    -0.03       0.00     0.06
    11   0.9890      0.00     0.03       0.00     0.02
    12   1.9553      0.00     0.06       0.00     0.10
    13   1.9553      0.00     0.09       0.00     0.06
    14   1.9554      0.00     0.14       0.00     0.17
    15   1.9554      0.00     0.05       0.00     0.08
    16   2.0371      0.00     0.23       0.00    -0.23
    17   2.0371      0.00     0.05       0.00     0.02
    18   2.0372      0.00    -0.57       0.00     0.37
    19   2.0372      0.00    -0.72       0.00     0.02
    20   2.0808      0.00     0.07       0.00     0.11
    21   2.0808      0.00     0.06       0.00     0.08
    22   2.0808      0.00     0.04       0.00     0.09
    23   2.0809      0.00     0.05       0.00     0.10
    24   2.1024      0.00     0.14       0.00     0.47
    25   2.1024      0.00     0.19       0.00     0.29
    26   2.1024      0.00    -0.48       0.00     0.21
    27   2.1025      0.00     0.04       0.00    -0.18
    28   2.1109      0.00    -0.10       0.00    -0.05
    29   2.1109      0.00    -0.24       0.00    -0.14
    30   2.1138      0.00     0.07       0.00    -0.12
    31   2.1138      0.00    -0.12       0.00     0.02
    32   2.1191      0.00    -0.07       0.00    -0.08
    33   2.1191      0.00     0.00       0.00    -0.04
    34   2.1707      0.00    -0.34       0.00     0.19
    35   2.1708      0.00    -0.12       0.00     0.22
    36   2.8263      0.00     0.61       0.00    -0.07
    37   2.9710      0.00     0.14       0.00    -0.07
    38   2.9711      0.00    -0.28       0.00    -0.16
    39   2.9711      0.00     0.04       0.00    -0.16
    40   3.0667      0.00    -0.04       0.00    -0.12
    41   3.0667      0.00    -0.03       0.00    -0.18
    42   3.0667      0.00     0.08       0.00    -0.21
    43   3.0668      0.00     0.04       0.00    -0.16
    44   3.0874      0.00     0.17       0.00    -0.03
    45   3.0874      0.00     0.24       0.00    -0.05
    46   3.0875      0.00     0.10       0.00    -0.09
    47   3.1348      0.00     0.00       0.00     0.03
    48   3.1349      0.00    -0.01       0.00    -0.12
    49   3.1349      0.00     0.10       0.00    -0.06
    50   3.1350      0.00     0.13       0.00    -0.13
    51   3.8201      0.00     0.17       0.00     0.17
    52   3.8201      0.00     0.15       0.00    -0.11
    53   3.8201      0.00    -0.24       0.00     0.17
    54   3.8201      0.00     0.19       0.00     0.05
    55   4.0551      0.00     0.26       0.00    -0.02
    56   4.0551      0.00     0.11       0.00    -0.29
    57   4.0552      0.00     0.14       0.00    -0.03
    58   4.0552      0.00     0.18       0.00     0.07
    59   4.1044      0.00    -0.27       0.00    -0.25
    60   4.1206      0.00    -0.07       0.00     0.04
    61   4.1206      0.00    -0.02       0.00    -0.10
    62   4.1207      0.00    -0.08       0.00    -0.24
    63   4.1207      0.00     0.04       0.00    -0.10
    64   4.1425      0.00     0.08       0.00     0.15
    65   4.1425      0.00     0.07       0.00     0.04
    66   4.1426      0.00     0.29       0.00     0.08
    67   4.1426      0.00     0.07       0.00     0.01
    68   4.1861      0.00     0.20       0.00    -0.01
    69   4.1861      0.00     0.16       0.00    -0.02
    70   4.1862      0.00     0.21       0.00     0.04
    71   4.2108      0.00    -0.33       0.00    -0.13
    72   4.2108      0.00    -0.30       0.00    -0.01
    73   4.2189      0.00    -0.02       0.00    -0.00
    74   4.2190      0.00     0.19       0.00     0.13
    75   4.2190      0.00     0.18       0.00    -0.10
    76   5.0409      0.00     0.08       0.00     0.23
    77   5.0437      0.00     0.10       0.00    -0.10
    78   5.0845      0.00    -0.40       0.00     0.11
    79   5.0900      0.00    -0.11       0.00     0.42
    80   5.0900      0.00    -0.17       0.00     0.02
    81   5.0901      0.00     0.06       0.00     0.15
    82   5.1063      0.00    -0.31       0.00     0.12
    83   5.1064      0.00     0.10       0.00    -0.05
    84   5.1064      0.00    -0.18       0.00     0.14
    85   5.1064      0.00    -0.01       0.00    -0.09
    86   5.1638      0.00    -0.33       0.00     0.11
    87   5.1719      0.00    -0.02       0.00    -0.10
    88   5.1719      0.00     0.13       0.00    -0.21
    89   5.1720      0.00    -0.11       0.00     0.30
    90   5.1720      0.00     0.10       0.00    -0.11
    91   5.2265      0.00     0.10       0.00    -0.20
    92   5.2292      0.00    -0.15       0.00    -0.06
    93   5.2293      0.00    -0.06       0.00     0.15
    94   5.2293      0.00     0.11       0.00     0.01
    95   5.2729      0.00    -0.06       0.00    -0.13
    96   5.9856      0.00    -0.21       0.00    -0.24

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.

12FZ78    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        18.700    18.700    18.700
ecceobj         0.437     0.437     0.437
incobj         17.002    17.002    17.002
qmin            9.607    10.285    10.273
qmax           28.659    28.648    29.992
amean          16.890    18.928    19.570
amin           15.759    18.001    18.700
amax           19.594    19.588    20.239
emean           0.356     0.448     0.464
emin            0.267     0.421     0.437
emax            0.463     0.465     0.483
imean          16.478    16.665    17.122
imin           13.332    14.961    16.946
imax           18.088    17.271    17.271
excite_mean     0.457     0.532     0.549
fracstop        0.014     0.002     0.001
cjmean          3.126     2.945     2.898

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       191.8     187.4     164.1
kozaiamp        178.2      37.7       9.8