Orbit Fit and Astrometric record for 12FN87

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: 12FN87    
# Created Sat Dec  4 02:11:28 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     98 observations of     98
# Arc:   8.16y
# First observation: 2012/03/29
#  Last observation: 2020/05/26
# Chi-squared of fit:   117.56 DOF:    190 RMS:  0.19
# Min/Max residuals:    -0.85    0.64
# Exact a, adot, b, bdot, g, gdot:
  2.025686E-05  4.191518E-02 -4.173215E-06 -1.032708E-02  3.414691E-02 -4.221218E-03
# Covariance matrix:
  1.4740E-13 -6.2987E-14 -1.8413E-14  1.1707E-14 -1.7664E-14 -1.3965E-13
 -6.2987E-14  3.5257E-14  1.2416E-14 -7.8162E-15  1.4314E-14  9.3418E-14
 -1.8413E-14  1.2416E-14  8.5876E-14 -2.1446E-14  5.5506E-15  3.8483E-14
  1.1707E-14 -7.8162E-15 -2.1446E-14  7.0907E-15 -2.3507E-15 -2.4668E-14
 -1.7664E-14  1.4314E-14  5.5506E-15 -2.3507E-15  4.1663E-14  3.0747E-14
 -1.3965E-13  9.3418E-14  3.8483E-14 -2.4668E-14  3.0747E-14  2.9380E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   16.059527 -153.009369    0.308277    0.263632   -0.915865  2456015.964826
# Heliocentric elements and errors
Epoch:              2456016.5000  =  2012/03/30
Mean Anomaly:          342.01434 +/-     0.002
Argument of Peri:      161.04177 +/-     0.004
Long of Asc Node:       73.96708 +/-     0.000
Inclination:            20.66538 +/-     0.000
Eccentricity:         0.25186938 +/-    0.0000
Semi-Major Axis:     39.24321846 +/-    0.0012
Time of Perihelion: 2460502.6018 +/-       4.1
Perihelion:          29.35905331 +/-    0.0012
Aphelion:            49.12738360 +/-    0.0017
Period (y)              245.8415 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -26.06320370 +/-    0.0001
Ecliptic Y          -12.92894117 +/-    0.0001
Ecliptic Z            8.10125413 +/-    0.0000
Ecliptic XDOT         0.00160607 +/-    0.0000
Ecliptic YDOT        -0.00294717 +/-    0.0000
Ecliptic ZDOT        -0.00088922 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.20069728 +/-    0.0001
Geocenter to KBO     29.28532018 +/-    0.0002
# Hcoef:  7.76

The following table shows the complete astrometric record for 12FN87. 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 (12FN87) followed by the observatory code and reference code for the source of the astrometry.

2012 03  29.46406  14 03 08.719  +04 36 26.00  22.2G 12FN87    F51  C~345r      
2012 03  29.47838  14 03 08.656  +04 36 26.50  22.5G 12FN87    F51  C~345r      
2012 03  29.49283  14 03 08.564  +04 36 27.12  22.4G 12FN87    F51  C~345r      
2012 03  29.50734  14 03 08.483  +04 36 27.82  21.9G 12FN87    F51  C~345r      
2012 04  16.49102  14 01 21.377  +04 46 36.00  22.8G 12FN87    F51  C~345r      
2012 04  25.37234  14 00 26.047  +04 50 37.12  22.5G 12FN87    F51  C~345r      
2013 02  05.66439  14 13 59.370  +02 41 17.23  21.6G 12FN87    F51  C~345r      
2013 03  20.54087  14 12 06.430  +03 05 51.49  22.9G 12FN87    F51  C~345r      
2013 04  02.54471  14 10 57.612  +03 13 50.39  23.0G 12FN87    F51  C~345r      
2013 04  22.48712  14 08 56.739  +03 24 21.58  22.0G 12FN87    F51  C~345r      
2014 04  05.43282  14 18 56.339  +01 49 28.59  22.5G 12FN87    F51  C~345r      
2014 04  05.44505  14 18 56.285  +01 49 29.05  22.6G 12FN87    F51  C~345r      
2014 04  05.45731  14 18 56.178  +01 49 29.22  22.5G 12FN87    F51  C~345r      
2014 04  05.46957  14 18 56.120  +01 49 30.03  22.9G 12FN87    F51  C~345r      
2014 05  05.41502  14 15 51.522  +02 03 23.49  23.5G 12FN87    F51  C~345r      
2014 05  25.38370  14 13 54.449  +02 07 36.16  21.9G 12FN87    F51  C~345r      
2014 05  25.39673  14 13 54.376  +02 07 36.33  22.1G 12FN87    F51  C~345r      
2014 05  25.40976  14 13 54.324  +02 07 36.03  22.1G 12FN87    F51  C~345r      
2014 05  25.42287  14 13 54.237  +02 07 36.26  22.1G 12FN87    F51  C~345r      
2014 05  31.42013  14 13 23.258  +02 07 51.64  22.8G 12FN87    F51  C~345r      
2014 05  31.43274  14 13 23.188  +02 07 51.94  22.4G 12FN87    F51  C~345r      
2014 05  31.44533  14 13 23.145  +02 07 51.62  22.0G 12FN87    F51  C~345r      
2015 01  30.58797  14 30 01.565  -00 09 31.47  22.3G 12FN87    F51  C~345r      
2015 01  30.60006  14 30 01.584  -00 09 31.41  22.1G 12FN87    F51  C~345r      
2015 01  30.61214  14 30 01.589  -00 09 31.41  22.3G 12FN87    F51  C~345r      
2015 01  30.62425  14 30 01.604  -00 09 31.21  22.1G 12FN87    F51  C~345r      
2015 02  23.59825  14 29 56.192  -00 00 07.25  23.1G 12FN87    F51  C~345r      
2015 02  23.61132  14 29 56.183  -00 00 06.88  22.4G 12FN87    F51  C~345r      
2015 02  23.62436  14 29 56.158  -00 00 06.41  22.3G 12FN87    F51  C~345r      
2015 02  23.63738  14 29 56.142  -00 00 06.21  22.7G 12FN87    F51  C~345r      
2015 02  24.58616  14 29 54.391  +00 00 22.28  21.9G 12FN87    F51  C~345r      
2015 02  24.59917  14 29 54.356  +00 00 22.00  22.4G 12FN87    F51  C~345r      
2015 02  24.61221  14 29 54.346  +00 00 22.77  22.3G 12FN87    F51  C~345r      
2015 02  24.62524  14 29 54.317  +00 00 23.61  21.8G 12FN87    F51  C~345r      
2015 03  20.55038  14 28 36.403  +00 13 33.29  22.1G 12FN87    F51  C~345r      
2015 03  20.57660  14 28 36.280  +00 13 34.10  21.9G 12FN87    F51  C~345r      
2015 03  21.54874  14 28 31.907  +00 14 07.93  22.5G 12FN87    F51  C~345r      
2015 03  21.56150  14 28 31.833  +00 14 08.38  22.2G 12FN87    F51  C~345r      
2015 03  22.50602  14 28 27.465  +00 14 41.26  23.2G 12FN87    F51  C~345r      
2015 03  22.51966  14 28 27.415  +00 14 42.04  22.1G 12FN87    F51  C~345r      
2015 03  22.53341  14 28 27.351  +00 14 42.44  22.4G 12FN87    F51  C~345r      
2015 03  22.54713  14 28 27.280  +00 14 42.78  22.1G 12FN87    F51  C~345r      
2015 04  12.53219  14 26 33.813  +00 26 28.37  21.7G 12FN87    F51  C~345r      
2016 03  06.59871  14 37 43.668  -01 20 24.27  22.9G 12FN87    F51  C~345r      
2016 03  06.61136  14 37 43.616  -01 20 23.81  22.5G 12FN87    F51  C~345r      
2016 03  06.62401  14 37 43.582  -01 20 23.46  22.9G 12FN87    F51  C~345r      
2016 03  06.63679  14 37 43.546  -01 20 23.20  22.2G 12FN87    F51  C~345r      
2016 03  08.52101  14 37 37.817  -01 19 24.37  23.1G 12FN87    F51  C~345r      
2016 03  31.45781  14 35 59.370  -01 06 54.90  22.3G 12FN87    F51  C~345r      
2016 03  31.49474  14 35 59.132  -01 06 54.23  22.5G 12FN87    F51  C~345r      
2016 04  03.49210  14 35 43.034  -01 05 16.28  22.9G 12FN87    F51  C~345r      
2016 04  03.50413  14 35 42.972  -01 05 15.74  22.4G 12FN87    F51  C~345r      
2016 04  03.51613  14 35 42.898  -01 05 15.50  22.3G 12FN87    F51  C~345r      
2016 04  03.52814  14 35 42.839  -01 05 15.07  22.5G 12FN87    F51  C~345r      
2016 04  04.46908  14 35 37.656  -01 04 44.75  20.9G 12FN87    F51  C~345r      
2016 04  26.44175  14 33 24.820  -00 54 01.22  21.0G 12FN87    F51  C~345r      
2016 05  01.42495  14 32 53.132  -00 52 01.94  22.0G 12FN87    F51  C~345r      
2016 05  01.43763  14 32 53.071  -00 52 01.16  22.5G 12FN87    F51  C~345r      
2016 05  01.45034  14 32 52.959  -00 52 00.94  23.0G 12FN87    F51  C~345r      
2016 05  01.46305  14 32 52.887  -00 52 00.60  22.4G 12FN87    F51  C~345r      
2016 06  28.30673  14 27 59.248  -00 48 40.60  21.9G 12FN87    F51  C~345r      
2016 06  28.31976  14 27 59.210  -00 48 40.61  21.8G 12FN87    F51  C~345r      
2016 06  28.33279  14 27 59.171  -00 48 40.78  22.4G 12FN87    F51  C~345r      
2016 06  28.34580  14 27 59.141  -00 48 41.17  22.3G 12FN87    F51  C~345r      
2016 08  01.27953  14 27 35.051  -01 05 54.96  22.4G 12FN87    F51  C~345r      
2016 08  01.28546  14 27 35.048  -01 05 55.42  22.2G 12FN87    F51  C~345r      
2016 08  01.29435  14 27 35.053  -01 05 55.89  22.4G 12FN87    F51  C~345r      
2016 08  01.29731  14 27 35.055  -01 05 55.98  22.2G 12FN87    F51  C~345r      
2016 08  01.30028  14 27 35.076  -01 05 55.93  22.5G 12FN87    F51  C~345r      
2016 08  01.30402  14 27 35.082  -01 05 55.84  22.2G 12FN87    F51  C~345r      
2016 08  01.30698  14 27 35.065  -01 05 56.32  22.2G 12FN87    F51  C~345r      
2016 08  01.30996  14 27 35.079  -01 05 56.49  22.6G 12FN87    F51  C~345r      
2016 08  01.31291  14 27 35.097  -01 05 55.99  21.4G 12FN87    F51  C~345r      
2016 08  01.31590  14 27 35.082  -01 05 56.66  22.5G 12FN87    F51  C~345r      
2016 08  01.31888  14 27 35.089  -01 05 56.89  23.1G 12FN87    F51  C~345r      
2016 08  01.32184  14 27 35.079  -01 05 56.76  22.4G 12FN87    F51  C~345r      
2016 08  01.32483  14 27 35.075  -01 05 57.11  22.6G 12FN87    F51  C~345r      
2017 03  07.56944  14 46 01.879  -02 46 47.79  22.7G 12FN87    F51  C~345r      
2017 03  07.58269  14 46 01.836  -02 46 47.56  22.4G 12FN87    F51  C~345r      
2017 03  07.59591  14 46 01.769  -02 46 47.30  23.1G 12FN87    F51  C~345r      
2017 03  07.60912  14 46 01.770  -02 46 46.63  22.5G 12FN87    F51  C~345r      
2017 03  26.60514  14 44 49.302  -02 37 09.40  22.8G 12FN87    F51  C~345r      
2017 03  26.61770  14 44 49.234  -02 37 09.37  22.4G 12FN87    F51  C~345r      
2017 03  26.63023  14 44 49.180  -02 37 08.51  22.4G 12FN87    F51  C~345r      
2017 04  03.57424  14 44 08.967  -02 32 59.95  22.3G 12FN87    F51  C~345r      
2017 04  26.44175  14 41 52.662  -02 22 03.63  22.5G 12FN87    F51  C~345r      
2017 04  26.45426  14 41 52.587  -02 22 03.27  22.3G 12FN87    F51  C~345r      
2017 04  26.46672  14 41 52.488  -02 22 03.28  22.3G 12FN87    F51  C~345r      
2017 04  26.47912  14 41 52.418  -02 22 02.73  22.3G 12FN87    F51  C~345r      
2017 05  17.30885  14 39 40.188  -02 15 03.07  22.1G 12FN87    F51  C~345r      
2017 05  17.32049  14 39 40.089  -02 15 03.29  22.1G 12FN87    F51  C~345r      
2017 05  17.33215  14 39 40.035  -02 15 02.78  22.3G 12FN87    F51  C~345r      
2017 05  17.34379  14 39 39.976  -02 15 02.77  22.3G 12FN87    F51  C~345r      
2018 03  17.57325  14 53 55.655  -04 09 13.13  22.5G 12FN87    F51  C~345r      
2020 05  26.36649  15 04 22.568  -06 37 32.28  22.2w 12FN87    F51  C~3vQO      
2020 05  26.37681  15 04 22.493  -06 37 31.91  22.2w 12FN87    F51  C~3vQO      
2020 05  26.38716  15 04 22.443  -06 37 31.62  22.4w 12FN87    F51  C~3vQO      
2020 05  26.39750  15 04 22.373  -06 37 31.49  22.3w 12FN87    F51  C~3vQO      

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    -0.21       0.00    -0.06
     2   0.0000      0.00     0.07       0.00    -0.09
     3   0.0001      0.00    -0.08       0.00    -0.00
     4   0.0001      0.00    -0.05       0.00     0.16
     5   0.0494      0.00    -0.37       0.00     0.14
     6   0.0737      0.00     0.51       0.00    -0.02
     7   0.8575      0.00     0.28       0.00    -0.85
     8   0.9749      0.00    -0.23       0.00     0.00
     9   1.0105      0.00    -0.11       0.00    -0.03
    10   1.0651      0.00     0.08       0.00     0.05
    11   2.0177      0.00    -0.08       0.00    -0.07
    12   2.0177      0.00     0.19       0.00    -0.03
    13   2.0178      0.00    -0.34       0.00    -0.28
    14   2.0178      0.00    -0.13       0.00     0.11
    15   2.0998      0.00    -0.12       0.00    -0.10
    16   2.1545      0.00    -0.01       0.00     0.22
    17   2.1545      0.00    -0.03       0.00     0.32
    18   2.1545      0.00     0.26       0.00    -0.04
    19   2.1546      0.00     0.03       0.00     0.12
    20   2.1710      0.00    -0.19       0.00    -0.32
    21   2.1710      0.00    -0.29       0.00    -0.03
    22   2.1711      0.00     0.02       0.00    -0.35
    23   2.8395      0.00     0.03       0.00     0.33
    24   2.8395      0.00     0.09       0.00     0.19
    25   2.8396      0.00    -0.06       0.00    -0.01
    26   2.8396      0.00    -0.06       0.00    -0.01
    27   2.9052      0.00    -0.11       0.00     0.01
    28   2.9053      0.00     0.13       0.00    -0.01
    29   2.9053      0.00     0.12       0.00     0.08
    30   2.9053      0.00     0.25       0.00    -0.11
    31   2.9079      0.00     0.04       0.00     0.26
    32   2.9080      0.00    -0.10       0.00    -0.41
    33   2.9080      0.00     0.15       0.00    -0.03
    34   2.9080      0.00     0.11       0.00     0.42
    35   2.9735      0.00    -0.11       0.00     0.10
    36   2.9736      0.00    -0.15       0.00     0.00
    37   2.9763      0.00     0.29       0.00    -0.02
    38   2.9763      0.00     0.08       0.00    -0.02
    39   2.9789      0.00    -0.13       0.00    -0.04
    40   2.9789      0.00     0.10       0.00     0.27
    41   2.9790      0.00     0.12       0.00     0.19
    42   2.9790      0.00     0.04       0.00     0.05
    43   3.0365      0.00     0.01       0.00    -0.16
    44   3.9374      0.00     0.24       0.00    -0.06
    45   3.9374      0.00     0.04       0.00     0.01
    46   3.9375      0.00     0.11       0.00    -0.03
    47   3.9375      0.00     0.15       0.00    -0.16
    48   3.9427      0.00     0.11       0.00     0.14
    49   4.0055      0.00     0.05       0.00     0.29
    50   4.0056      0.00    -0.54       0.00    -0.25
    51   4.0138      0.00    -0.00       0.00     0.01
    52   4.0138      0.00     0.08       0.00     0.16
    53   4.0138      0.00    -0.02       0.00     0.01
    54   4.0139      0.00     0.10       0.00     0.05
    55   4.0164      0.00     0.11       0.00    -0.03
    56   4.0766      0.00    -0.58       0.00     0.18
    57   4.0902      0.00    -0.07       0.00    -0.40
    58   4.0903      0.00     0.25       0.00     0.09
    59   4.0903      0.00    -0.19       0.00     0.02
    60   4.0903      0.00    -0.03       0.00     0.07
    61   4.2487      0.00    -0.01       0.00    -0.15
    62   4.2487      0.00    -0.03       0.00     0.08
    63   4.2488      0.00    -0.06       0.00     0.15
    64   4.2488      0.00     0.04       0.00    -0.00
    65   4.3417      0.00     0.30       0.00     0.28
    66   4.3417      0.00     0.14       0.00     0.07
    67   4.3418      0.00     0.04       0.00    -0.03
    68   4.3418      0.00     0.01       0.00    -0.00
    69   4.3418      0.00     0.27       0.00     0.17
    70   4.3418      0.00     0.29       0.00     0.42
    71   4.3418      0.00    -0.03       0.00     0.06
    72   4.3418      0.00     0.13       0.00     0.02
    73   4.3418      0.00     0.34       0.00     0.64
    74   4.3418      0.00     0.05       0.00     0.09
    75   4.3418      0.00     0.10       0.00    -0.01
    76   4.3418      0.00    -0.11       0.00     0.24
    77   4.3419      0.00    -0.23       0.00     0.01
    78   4.9394      0.00     0.02       0.00    -0.07
    79   4.9394      0.00    -0.05       0.00    -0.22
    80   4.9394      0.00    -0.48       0.00    -0.34
    81   4.9395      0.00     0.12       0.00    -0.04
    82   4.9915      0.00    -0.14       0.00    -0.11
    83   4.9915      0.00    -0.25       0.00    -0.47
    84   4.9916      0.00    -0.14       0.00    -0.01
    85   5.0133      0.00     0.10       0.00    -0.13
    86   5.0759      0.00    -0.01       0.00     0.01
    87   5.0759      0.00     0.08       0.00     0.05
    88   5.0760      0.00    -0.19       0.00    -0.27
    89   5.0760      0.00    -0.03       0.00    -0.04
    90   5.1330      0.00    -0.03       0.00     0.16
    91   5.1331      0.00    -0.42       0.00    -0.23
    92   5.1331      0.00    -0.13       0.00     0.11
    93   5.1331      0.00     0.08       0.00    -0.04
    94   5.9661      0.00     0.21       0.00     0.02
    95   8.1585      0.00    -0.02       0.00    -0.33
    96   8.1586      0.00    -0.16       0.00    -0.07
    97   8.1586      0.00     0.07       0.00     0.10
    98   8.1586      0.00    -0.01       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.

12FN87    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.158    39.158    39.158
ecceobj         0.251     0.251     0.251
incobj         20.656    20.656    20.656
qmin           26.766    26.765    26.770
qmax           52.763    52.766    52.769
amean          39.454    39.454    39.454
amin           39.034    39.050    39.046
amax           40.004    40.006    40.004
emean           0.260     0.260     0.260
emin            0.168     0.168     0.168
emax            0.320     0.320     0.320
imean          18.980    18.979    18.978
imin           16.059    16.055    16.053
imax           22.322    22.321    22.325
excite_mean     0.420     0.420     0.420
fracstop        1.000     1.000     1.000
cjmean          2.850     2.850     2.850

libcent 0       179.6     179.4     179.6
libamp  0        74.5      74.5      74.3
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        86.3      86.3      86.4
kozaiamp         70.3      70.3      70.3