Orbit Fit and Astrometric record for 13FA28

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: 13FA28    
# Created Sun Sep 25 01:14:52 2022
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     80 observations of     80
# Arc:  22.15y
# First observation: 2000/03/03
#  Last observation: 2022/04/26
# Chi-squared of fit:   117.45 DOF:    154 RMS:  0.21
# Min/Max residuals:    -0.61    1.01
# Exact a, adot, b, bdot, g, gdot:
  1.436163E-05  2.059651E-02  1.835468E-06 -2.363138E-04  2.243599E-02 -4.346804E-04
# Covariance matrix:
  3.7480E-13 -5.0247E-14 -2.2312E-15  4.4074E-16 -1.5720E-14 -7.5047E-14
 -5.0247E-14  8.6640E-15  4.3738E-16 -8.9256E-17  6.7002E-15  1.5274E-14
 -2.2312E-15  4.3738E-16  1.8829E-13 -1.2756E-14 -3.7142E-17  8.8572E-16
  4.4074E-16 -8.9256E-17 -1.2756E-14  9.5240E-16 -5.0438E-17 -1.7803E-16
 -1.5720E-14  6.7002E-15 -3.7142E-17 -5.0438E-17  7.2888E-14  1.0124E-14
 -7.5047E-14  1.5274E-14  8.8572E-16 -1.7803E-16  1.0124E-14  3.0395E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.413393 -173.901839    0.383854   -0.022929   -0.919986  2451606.941976
# Heliocentric elements and errors
Epoch:              2451606.5000  =  2000/03/03
Mean Anomaly:          220.38589 +/-     0.032
Argument of Peri:       27.09312 +/-     0.028
Long of Asc Node:      301.27468 +/-     0.003
Inclination:             1.53631 +/-     0.000
Eccentricity:         0.04401621 +/-    0.0000
Semi-Major Axis:     43.97735048 +/-    0.0019
Time of Perihelion: 2492917.7966 +/-      10.4
Perihelion:          42.04163430 +/-    0.0022
Aphelion:            45.91306665 +/-    0.0023
Period (y)              291.6432 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -45.25453233 +/-    0.0005
Ecliptic Y           -4.44693550 +/-    0.0001
Ecliptic Z           -1.09927605 +/-    0.0000
Ecliptic XDOT         0.00031454 +/-    0.0000
Ecliptic YDOT        -0.00248652 +/-    0.0000
Ecliptic ZDOT        -0.00002741 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.48579949 +/-    0.0005
Geocenter to KBO     44.57127838 +/-    0.0005
# Hcoef:  6.11

The following table shows the complete astrometric record for 13FA28. 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 (13FA28) followed by the observatory code and reference code for the source of the astrometry.

2000 03  03.441233 12 20 09.03   -03 43 10.7   22.1V 13FA28    645  C~1pQU      
2000 03  03.442062 12 20 09.03   -03 43 10.7   21.6V 13FA28    645  C~1pQU      
2000 03  03.444550 12 20 09.03   -03 43 10.7   23.0V 13FA28    645  C~1pQU      
2006 01  31.470719 12 47 41.70   -06 42 49.0   22.7V 13FA28    645  C~1pQU      
2006 01  31.471548 12 47 41.70   -06 42 49.0   22.2V 13FA28    645  C~1pQU      
2006 01  31.474036 12 47 41.69   -06 42 48.9   23.7V 13FA28    645  C~1pQU      
2006 05  01.280849 12 42 23.66   -06 10 24.1   22.7V 13FA28    645  C~1pQU      
2006 05  01.281678 12 42 23.66   -06 10 24.1   21.9V 13FA28    645  C~1pQU      
2006 05  01.284166 12 42 23.64   -06 10 24.0   23.5V 13FA28    645  C~1pQU      
2011 03  13.45483  13 07 51.880  -08 51 47.96  23.4G 13FA28    F51  C~2rXx      
2011 03  13.46695  13 07 51.824  -08 51 47.95  22.8G 13FA28    F51  C~2rXx      
2011 04  03.44016  13 06 26.701  -08 43 23.50  22.7G 13FA28    F51  C~2rXx      
2011 04  03.45406  13 06 26.645  -08 43 23.11  22.3G 13FA28    F51  C~2rXx      
2011 04  03.46991  13 06 26.578  -08 43 22.73  22.5G 13FA28    F51  C~2rXx      
2012 01  06.62747  13 14 02.605  -09 27 30.57  22.4G 13FA28    F51  C~2rXx      
2012 01  06.63278  13 14 02.617  -09 27 30.65  22.5G 13FA28    F51  C~2rXx      
2012 01  06.63805  13 14 02.622  -09 27 30.63  22.4G 13FA28    F51  C~2rXx      
2012 01  06.64335  13 14 02.631  -09 27 30.56  22.8G 13FA28    F51  C~2rXx      
2012 03  16.49896  13 12 05.686  -09 17 59.62  22.8G 13FA28    F51  C~2rXx      
2012 04  13.40243  13 10 09.542  -09 06 29.85  22.1G 13FA28    F51  C~2rXx      
2012 04  16.39297  13 09 56.830  -09 05 11.94  23.0G 13FA28    F51  C~2rXx      
2012 04  16.40618  13 09 56.771  -09 05 11.90  22.2G 13FA28    F51  C~2rXx      
2012 04  16.41939  13 09 56.715  -09 05 11.65  22.7G 13FA28    F51  C~2rXx      
2012 04  16.43263  13 09 56.673  -09 05 11.05  23.6G 13FA28    F51  C~2rXx      
2012 04  25.35466  13 09 19.527  -09 01 21.99  22.4G 13FA28    F51  C~2rXx      
2012 04  26.40311  13 09 15.285  -09 00 55.76  22.4G 13FA28    F51  C~2rXx      
2012 04  28.36661  13 09 07.404  -09 00 06.08  21.7G 13FA28    F51  C~2rXx      
2012 06  07.26630  13 07 05.277  -08 46 50.04  22.2G 13FA28    F51  C~2rXx      
2013 03  16.25367  13 16 37.139  -09 45 36.46        13FA28    807  C~14Qh      
2013 03  16.25367  13 16 37.12   -09 45 36.9   22.6r 13FA28    W84  C~2J9e      
2013 03  16.30082  13 16 36.955  -09 45 35.54  22.1r 13FA28    807  C~14Qh      
2013 03  16.30082  13 16 36.93   -09 45 35.8         13FA28    W84  C~2J9e      
2013 03  16.35904  13 16 36.728  -09 45 34.00        13FA28    807  C~14Qh      
2013 04  09.47426  13 14 57.236  -09 35 53.22  21.9G 13FA28    F51  C~2rXx      
2013 04  09.48890  13 14 57.169  -09 35 52.41  22.3G 13FA28    F51  C~2rXx      
2013 04  16.26314  13 14 28.17   -09 32 57.4   22.6V 13FA28    W84  C~1UFp      
2013 04  16.26722  13 14 28.15   -09 32 57.4         13FA28    W84  C~1UFp      
2013 04  16.30402  13 14 27.99   -09 32 56.5         13FA28    W84  C~1UFp      
2013 04  16.30816  13 14 27.98   -09 32 56.3         13FA28    W84  C~1UFp      
2013 04  16.31253  13 14 27.95   -09 32 56.2         13FA28    W84  C~1UFp      
2013 04  16.31668  13 14 27.95   -09 32 56.1         13FA28    W84  C~1UFp      
2013 05  04.39729  13 13 13.982  -09 25 21.72  23.1G 13FA28    F51  C~2rXx      
2013 05  09.06799  13 12 56.466  -09 23 31.46  22.2r 13FA28    807  C~14Qh      
2013 05  10.12071  13 12 52.628  -09 23 07.23        13FA28    807  C~14Qh      
2014 01  05.60058  13 22 50.766  -10 20 44.04  23.0G 13FA28    F51  C~2rXx      
2014 02  25.56601  13 22 10.673  -10 18 37.70  22.5G 13FA28    F51  C~2rXx      
2014 02  25.57863  13 22 10.642  -10 18 37.38  23.1G 13FA28    F51  C~2rXx      
2014 02  25.59124  13 22 10.620  -10 18 37.40  22.6G 13FA28    F51  C~2rXx      
2014 02  25.60383  13 22 10.586  -10 18 37.22  22.8G 13FA28    F51  C~2rXx      
2014 04  04.48039  13 19 50.961  -10 05 30.68  21.8G 13FA28    F51  C~2rXx      
2014 04  28.41153  13 18 09.405  -09 55 23.04  23.2G 13FA28    F51  C~2rXx      
2014 05  01.26761  13 17 57.923  -09 54 12.13  22.0r 13FA28    304  C~14Qh      
2014 05  02.27997  13 17 53.866  -09 53 47.13        13FA28    304  C~14Qh      
2014 05  28.27776  13 16 24.911  -09 44 24.26  22.3G 13FA28    F51  C~2rXx      
2014 05  28.28988  13 16 24.864  -09 44 24.27  22.8G 13FA28    F51  C~2rXx      
2014 05  28.30199  13 16 24.819  -09 44 23.96  22.5G 13FA28    F51  C~2rXx      
2014 05  28.31410  13 16 24.763  -09 44 23.42  22.7G 13FA28    F51  C~2rXx      
2015 03  16.40848  13 25 41.79   -10 40 08.5   22.4R 13FA28    G37  C~1N7m      
2015 03  16.46245  13 25 41.56   -10 40 06.8         13FA28    G37  C~1N7m      
2015 03  29.52549  13 24 49.924  -10 35 15.78  22.4G 13FA28    F51  C~2rXx      
2016 02  09.66120  13 31 48.073  -11 14 59.81  22.7G 13FA28    F51  C~2rXx      
2016 02  20.59611  13 31 28.109  -11 13 26.57  23.1G 13FA28    F51  C~2rXx      
2016 03  04.54941  13 30 53.387  -11 10 28.18  22.5G 13FA28    F51  C~2rXx      
2016 03  12.53739  13 30 26.870  -11 08 05.97  22.9G 13FA28    F51  C~2rXx      
2016 03  14.58619  13 30 19.526  -11 07 26.28  20.5G 13FA28    F51  C~2rXx      
2016 04  03.44118  13 29 00.477  -11 00 03.87  22.1G 13FA28    F51  C~2rXx      
2017 02  02.50064  13 36 27.42   -11 41 46.1         13FA28    G37  C~3zkD      
2017 02  02.52447  13 36 27.40   -11 41 46.1         13FA28    G37  C~3zkD      
2017 02  02.54827  13 36 27.38   -11 41 46.1         13FA28    G37  C~3zkD      
2017 03  21.44502  13 34 30.162  -11 31 56.75  22.8G 13FA28    F51  C~2rXx      
2017 03  28.53778  13 34 01.897  -11 29 20.27  22.4G 13FA28    F51  C~2rXx      
2017 04  27.36589  13 31 54.482  -11 17 10.59  22.5G 13FA28    F51  C~2rXx      
2018 03  22.58022  13 39 03.495  -11 58 12.14  21.6G 13FA28    F51  C~2rXx      
2018 04  12.48167  13 37 36.678  -11 50 11.61        13FA28    F51  C~2rXx      
2020 04  22.38504  13 46 08.778  -12 38 38.23  22.8w 13FA28    F51  C~3qKC      
2020 04  22.39667  13 46 08.739  -12 38 38.19  22.3w 13FA28    F51  C~3qKC      
2020 04  22.40829  13 46 08.682  -12 38 37.95  22.3w 13FA28    F51  C~3qKC      
2020 04  22.42000  13 46 08.634  -12 38 37.35  22.4w 13FA28    F51  C~3qKC      
2022 04  26.222460 13 55 15.614  -13 28 53.09  22.3G 13FA28    G37  C~5ZZN      
2022 04  26.273380 13 55 15.384  -13 28 51.61        13FA28    G37  C~5ZZN      

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    -0.13       0.00    -0.39
     2   0.0000      0.00    -0.09       0.00    -0.41
     3   0.0000      0.00     0.06       0.00    -0.47
     4   5.9138      0.00     0.09       0.00     0.17
     5   5.9138      0.00     0.11       0.00     0.16
     6   5.9138      0.00     0.02       0.00     0.24
     7   6.1597      0.00    -0.12       0.00     0.27
     8   6.1597      0.00    -0.08       0.00     0.25
     9   6.1597      0.00    -0.24       0.00     0.29
    10  11.0254      0.00    -0.12       0.00     0.01
    11  11.0254      0.00    -0.26       0.00    -0.25
    12  11.0828      0.00    -0.12       0.00     0.03
    13  11.0829      0.00    -0.06       0.00     0.06
    14  11.0829      0.00    -0.03       0.00     0.03
    15  11.8445      0.00    -0.02       0.00    -0.16
    16  11.8445      0.00     0.08       0.00    -0.19
    17  11.8445      0.00     0.07       0.00    -0.12
    18  11.8445      0.00     0.12       0.00    -0.01
    19  12.0358      0.00    -0.10       0.00     0.07
    20  12.1121      0.00    -0.03       0.00    -0.16
    21  12.1203      0.00    -0.07       0.00     0.19
    22  12.1204      0.00    -0.10       0.00    -0.11
    23  12.1204      0.00    -0.09       0.00    -0.20
    24  12.1204      0.00     0.14       0.00     0.05
    25  12.1449      0.00    -0.21       0.00     0.24
    26  12.1477      0.00    -0.03       0.00     0.04
    27  12.1531      0.00    -0.13       0.00     0.60
    28  12.2624      0.00    -0.09       0.00     0.11
    29  13.0344      0.00     0.07       0.00    -0.12
    30  13.0344      0.00     0.35       0.00     0.32
    31  13.0345      0.00     0.34       0.00     0.22
    32  13.0345      0.00    -0.04       0.00    -0.04
    33  13.0347      0.00     0.32       0.00     0.49
    34  13.1007      0.00    -0.04       0.00    -0.61
    35  13.1007      0.00    -0.09       0.00    -0.18
    36  13.1193      0.00     0.11       0.00     0.16
    37  13.1193      0.00     0.08       0.00     0.06
    38  13.1194      0.00     0.06       0.00     0.00
    39  13.1194      0.00     0.18       0.00     0.10
    40  13.1194      0.00     0.01       0.00     0.08
    41  13.1194      0.00     0.28       0.00     0.08
    42  13.1689      0.00    -0.07       0.00    -0.00
    43  13.1817      0.00     0.23       0.00    -0.09
    44  13.1846      0.00     0.19       0.00    -0.07
    45  13.8430      0.00    -0.28       0.00     0.04
    46  13.9825      0.00    -0.24       0.00    -0.04
    47  13.9826      0.00    -0.17       0.00     0.10
    48  13.9826      0.00     0.04       0.00    -0.11
    49  13.9826      0.00     0.07       0.00    -0.11
    50  14.0863      0.00    -0.43       0.00    -0.07
    51  14.1519      0.00    -0.16       0.00    -0.23
    52  14.1597      0.00     1.01       0.00    -0.29
    53  14.1625      0.00     0.74       0.00    -0.13
    54  14.2336      0.00     0.29       0.00     0.24
    55  14.2337      0.00     0.09       0.00     0.01
    56  14.2337      0.00    -0.07       0.00     0.10
    57  14.2337      0.00    -0.40       0.00     0.42
    58  15.0334      0.00     0.29       0.00    -0.06
    59  15.0336      0.00    -0.10       0.00     0.52
    60  15.0694      0.00    -0.01       0.00     0.16
    61  15.9376      0.00     0.07       0.00    -0.13
    62  15.9676      0.00    -0.15       0.00     0.06
    63  16.0030      0.00    -0.03       0.00     0.08
    64  16.0249      0.00     0.04       0.00     0.08
    65  16.0305      0.00    -0.10       0.00    -0.15
    66  16.0849      0.00    -0.06       0.00    -0.08
    67  16.9201      0.00     0.06       0.00     0.03
    68  16.9201      0.00     0.06       0.00    -0.02
    69  16.9202      0.00     0.05       0.00    -0.07
    70  17.0486      0.00    -0.19       0.00    -0.27
    71  17.0680      0.00    -0.03       0.00     0.21
    72  17.1497      0.00     0.01       0.00     0.04
    73  18.0510      0.00    -0.37       0.00    -0.33
    74  18.1083      0.00    -0.02       0.00    -0.29
    75  20.1367      0.00    -0.24       0.00     0.06
    76  20.1368      0.00    -0.05       0.00    -0.18
    77  20.1368      0.00    -0.12       0.00    -0.22
    78  20.1368      0.00    -0.06       0.00     0.09
    79  22.1459      0.00     0.00       0.00    -0.26
    80  22.1460      0.00    -0.04       0.00     0.00

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.

13FA28    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.964    43.964    43.964
ecceobj         0.044     0.044     0.044
incobj          1.537     1.537     1.537
qmin           41.646    41.647    41.645
qmax           47.072    47.073    47.071
amean          44.249    44.249    44.249
amin           43.908    43.907    43.908
amax           44.604    44.605    44.614
emean           0.041     0.041     0.041
emin            0.026     0.026     0.026
emax            0.055     0.055     0.055
imean           3.218     3.218     3.218
imin            2.579     2.579     2.578
imax            3.727     3.728     3.729
excite_mean     0.070     0.070     0.070
fracstop        1.000     1.000     1.000
cjmean          3.098     3.098     3.098

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       182.0     181.9     182.1
kozaiamp        180.0     179.9     179.9