Orbit Fit and Astrometric record for 13FD28

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: 13FD28    
# Created Sat Dec  4 02:11:38 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     68 observations of     68
# Arc:   7.03y
# First observation: 2011/04/03
#  Last observation: 2018/04/12
# Chi-squared of fit:   151.87 DOF:    130 RMS:  0.26
# Min/Max residuals:    -0.74    1.25
# Exact a, adot, b, bdot, g, gdot:
  1.428482E-05  2.436149E-02  1.634590E-06  1.799101E-03  2.537386E-02  4.595859E-03
# Covariance matrix:
  9.6692E-14 -5.5904E-14  2.5276E-15 -3.2235E-15 -2.0333E-14 -2.7489E-13
 -5.5904E-14  6.3646E-14 -3.5716E-15  4.4929E-15  3.1133E-14  3.8306E-13
  2.5276E-15 -3.5716E-15  6.6138E-14 -1.3341E-14 -3.8341E-15 -2.3174E-14
 -3.2235E-15  4.4929E-15 -1.3341E-14  4.3464E-15  2.5287E-15  2.8880E-14
 -2.0333E-14  3.1133E-14 -3.8341E-15  2.5287E-15  1.2198E-13  2.1250E-13
 -2.7489E-13  3.8306E-13 -2.3174E-14  2.8880E-14  2.1250E-13  2.4619E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.564750 -160.954338    0.103800   -0.096849   -0.993648  2455654.937646
# Heliocentric elements and errors
Epoch:              2455654.5000  =  2011/04/03
Mean Anomaly:           86.50980 +/-     0.021
Argument of Peri:      200.16480 +/-     0.013
Long of Asc Node:      251.13125 +/-     0.001
Inclination:             6.85422 +/-     0.000
Eccentricity:         0.18419791 +/-    0.0001
Semi-Major Axis:     39.51536879 +/-    0.0021
Time of Perihelion: 2433851.8005 +/-       5.5
Perihelion:          32.23672040 +/-    0.0028
Aphelion:            46.79401717 +/-    0.0033
Period (y)              248.4032 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -38.05103101 +/-    0.0005
Ecliptic Y          -13.02828607 +/-    0.0002
Ecliptic Z           -3.82158589 +/-    0.0001
Ecliptic XDOT         0.00037179 +/-    0.0000
Ecliptic YDOT        -0.00264594 +/-    0.0000
Ecliptic ZDOT         0.00014515 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.40065281 +/-    0.0005
Geocenter to KBO     39.41056466 +/-    0.0005
# Hcoef:  6.68

The following table shows the complete astrometric record for 13FD28. 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 (13FD28) followed by the observatory code and reference code for the source of the astrometry.

2011 04  03.43688  13 01 39.667  -12 36 03.61  22.5G 13FD28    F51  C~36nl      
2011 04  03.44082  13 01 39.629  -12 36 03.25  22.7G 13FD28    F51  C~36nl      
2011 04  03.45077  13 01 39.588  -12 36 03.18  22.2G 13FD28    F51  C~36nl      
2011 04  03.45472  13 01 39.582  -12 36 03.06  22.8G 13FD28    F51  C~36nl      
2011 04  03.46661  13 01 39.491  -12 36 02.26  22.1G 13FD28    F51  C~36nl      
2011 04  03.47057  13 01 39.487  -12 36 02.67  23.4G 13FD28    F51  C~36nl      
2011 04  03.48050  13 01 39.445  -12 36 02.37  22.6G 13FD28    F51  C~36nl      
2011 04  03.48443  13 01 39.444  -12 36 02.05  23.6G 13FD28    F51  C~36nl      
2011 04  28.33959  12 59 43.494  -12 23 21.81  22.7G 13FD28    F51  C~36nl      
2011 04  28.35367  12 59 43.401  -12 23 22.06  22.4G 13FD28    F51  C~36nl      
2011 04  28.36790  12 59 43.357  -12 23 20.81  22.5G 13FD28    F51  C~36nl      
2011 04  28.38199  12 59 43.289  -12 23 20.79  22.9G 13FD28    F51  C~36nl      
2012 01  06.62681  13 10 36.983  -13 15 44.35  22.8G 13FD28    F51  C~36nl      
2012 01  06.63212  13 10 36.982  -13 15 44.35  22.2G 13FD28    F51  C~36nl      
2012 01  06.63739  13 10 37.005  -13 15 44.46  21.8G 13FD28    F51  C~36nl      
2012 01  06.64269  13 10 37.014  -13 15 44.49  22.4G 13FD28    F51  C~36nl      
2012 03  16.49835  13 08 23.546  -13 09 43.51  22.2G 13FD28    F51  C~36nl      
2012 04  02.43766  13 07 05.786  -13 02 20.26  21.5G 13FD28    F51  C~36nl      
2012 04  02.44976  13 07 05.716  -13 02 19.59  22.4G 13FD28    F51  C~36nl      
2012 04  16.41742  13 05 59.289  -12 55 25.07  22.4G 13FD28    F51  C~36nl      
2012 04  16.43066  13 05 59.219  -12 55 24.61  22.6G 13FD28    F51  C~36nl      
2013 03  05.53026  13 14 31.199  -13 38 50.58  22.4G 13FD28    F51  C~36nl      
2013 03  17.27372  13 13 43.87   -13 34 51.2   22.7r 13FD28    W84  C~2J9e      
2013 03  17.31628  13 13 43.69   -13 34 50.2         13FD28    W84  C~2J9e      
2013 03  17.36301  13 13 43.48   -13 34 49.2         13FD28    W84  C~2J9e      
2013 05  09.08269  13 09 43.32   -13 09 48.0         13FD28    W84  C~2TH2      
2013 05  10.12576  13 09 39.16   -13 09 17.4   22.6r 13FD28    W84  C~2TH2      
2014 03  28.26117  13 18 17.593  -13 55 16.33        13FD28    807  C~14Qh      
2014 03  28.32672  13 18 17.302  -13 55 14.46  22.1r 13FD28    807  C~14Qh      
2014 03  28.36935  13 18 17.100  -13 55 13.70        13FD28    807  C~14Qh      
2014 04  04.48780  13 17 43.755  -13 52 02.80  23.4G 13FD28    F51  C~36nl      
2014 04  28.45975  13 15 51.334  -13 40 19.25  22.8G 13FD28    F51  C~36nl      
2014 05  01.26484  13 15 38.844  -13 38 54.79  22.2r 13FD28    304  C~14Qh      
2014 05  02.27723  13 15 34.405  -13 38 24.39        13FD28    304  C~14Qh      
2014 05  20.32631  13 14 22.853  -13 29 47.40  22.6G 13FD28    F51  C~36nl      
2014 05  20.33926  13 14 22.836  -13 29 47.27  22.6G 13FD28    F51  C~36nl      
2014 05  20.35218  13 14 22.778  -13 29 46.72  23.1G 13FD28    F51  C~36nl      
2014 05  20.36511  13 14 22.723  -13 29 46.54  23.3G 13FD28    F51  C~36nl      
2014 05  28.29186  13 13 57.159  -13 26 21.31  22.4G 13FD28    F51  C~36nl      
2016 02  09.63665  13 31 30.338  -14 54 26.23  22.8G 13FD28    F51  C~36nl      
2016 02  09.64461  13 31 30.351  -14 54 26.21  23.1G 13FD28    F51  C~36nl      
2016 02  09.65263  13 31 30.343  -14 54 25.88  22.7G 13FD28    F51  C~36nl      
2016 02  09.66056  13 31 30.312  -14 54 25.90  23.1G 13FD28    F51  C~36nl      
2016 02  20.58445  13 31 08.565  -14 53 26.91  22.4G 13FD28    F51  C~36nl      
2016 03  04.53638  13 30 30.493  -14 50 54.20  22.3G 13FD28    F51  C~36nl      
2016 03  04.54877  13 30 30.454  -14 50 54.11  22.4G 13FD28    F51  C~36nl      
2016 03  04.56109  13 30 30.405  -14 50 53.71  23.0G 13FD28    F51  C~36nl      
2016 03  04.57342  13 30 30.352  -14 50 53.40  23.1G 13FD28    F51  C~36nl      
2016 03  13.26497  13 29 58.44   -14 48 24.2   22.6R 13FD28    G37  C~1pQU      
2016 03  13.31385  13 29 58.29   -14 48 24.0         13FD28    G37  C~1pQU      
2017 02  02.61122  13 36 50.599  -15 16 51.05  23.0G 13FD28    F51  C~36nl      
2017 02  21.58525  13 36 19.032  -15 15 46.02  21.9G 13FD28    F51  C~36nl      
2017 02  21.59789  13 36 18.987  -15 15 46.29  23.5G 13FD28    F51  C~36nl      
2017 02  21.61053  13 36 18.977  -15 15 46.00  22.7G 13FD28    F51  C~36nl      
2017 02  21.62317  13 36 18.919  -15 15 46.07  22.3G 13FD28    F51  C~36nl      
2017 03  28.50344  13 34 12.441  -15 05 55.66  22.2G 13FD28    F51  C~36nl      
2017 03  28.51509  13 34 12.407  -15 05 55.54  23.0G 13FD28    F51  C~36nl      
2017 03  28.52677  13 34 12.340  -15 05 55.23  22.5G 13FD28    F51  C~36nl      
2017 03  28.53843  13 34 12.268  -15 05 55.07  23.0G 13FD28    F51  C~36nl      
2017 04  27.36460  13 31 52.860  -14 52 25.23  22.2G 13FD28    F51  C~36nl      
2017 04  27.37494  13 31 52.800  -14 52 24.55  22.6G 13FD28    F51  C~36nl      
2017 04  27.38528  13 31 52.753  -14 52 24.59  22.8G 13FD28    F51  C~36nl      
2017 04  27.39560  13 31 52.728  -14 52 24.25  22.3G 13FD28    F51  C~36nl      
2017 05  16.30079  13 30 31.169  -14 43 25.44  23.0G 13FD28    F51  C~36nl      
2018 04  12.42835  13 38 20.883  -15 22 08.33  22.2G 13FD28    F51  C~36nl      
2018 04  12.44123  13 38 20.808  -15 22 07.54  22.5G 13FD28    F51  C~36nl      
2018 04  12.45412  13 38 20.752  -15 22 07.50  22.2G 13FD28    F51  C~36nl      
2018 04  12.46700  13 38 20.694  -15 22 07.07  22.2G 13FD28    F51  C~36nl      

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    -0.17
     2   0.0000      0.00    -0.15       0.00     0.08
     3   0.0000      0.00    -0.04       0.00    -0.14
     4   0.0000      0.00     0.16       0.00    -0.14
     5   0.0001      0.00    -0.34       0.00     0.31
     6   0.0001      0.00    -0.11       0.00    -0.21
     7   0.0001      0.00    -0.01       0.00    -0.20
     8   0.0001      0.00     0.26       0.00     0.00
     9   0.0682      0.00     0.29       0.00     0.14
    10   0.0682      0.00    -0.16       0.00    -0.54
    11   0.0683      0.00     0.14       0.00     0.27
    12   0.0683      0.00     0.06       0.00    -0.14
    13   0.7616      0.00    -0.14       0.00    -0.01
    14   0.7617      0.00    -0.25       0.00     0.07
    15   0.7617      0.00     0.01       0.00     0.04
    16   0.7617      0.00     0.05       0.00     0.09
    17   0.9529      0.00     0.10       0.00    -0.01
    18   0.9993      0.00     0.04       0.00    -0.08
    19   0.9994      0.00    -0.14       0.00     0.24
    20   1.0376      0.00    -0.03       0.00    -0.07
    21   1.0376      0.00    -0.12       0.00    -0.02
    22   1.9222      0.00    -0.09       0.00     0.14
    23   1.9544      0.00    -0.33       0.00     0.01
    24   1.9545      0.00    -0.23       0.00     0.03
    25   1.9546      0.00    -0.32       0.00    -0.04
    26   2.0990      0.00    -0.35       0.00    -0.03
    27   2.1018      0.00    -0.28       0.00     0.14
    28   2.9838      0.00     1.02       0.00    -0.09
    29   2.9840      0.00     1.25       0.00     0.08
    30   2.9841      0.00     1.20       0.00    -0.27
    31   3.0036      0.00    -0.39       0.00     0.13
    32   3.0692      0.00     0.36       0.00     0.04
    33   3.0769      0.00     0.39       0.00     0.20
    34   3.0796      0.00     0.45       0.00     0.34
    35   3.1291      0.00    -0.37       0.00     0.15
    36   3.1291      0.00     0.07       0.00    -0.07
    37   3.1291      0.00    -0.11       0.00     0.13
    38   3.1292      0.00    -0.24       0.00    -0.04
    39   3.1509      0.00    -0.21       0.00     0.07
    40   4.8548      0.00    -0.36       0.00    -0.19
    41   4.8548      0.00     0.02       0.00    -0.18
    42   4.8548      0.00     0.10       0.00     0.13
    43   4.8548      0.00    -0.18       0.00     0.09
    44   4.8847      0.00    -0.10       0.00     0.09
    45   4.9202      0.00    -0.09       0.00    -0.13
    46   4.9202      0.00    -0.02       0.00    -0.23
    47   4.9203      0.00    -0.11       0.00    -0.01
    48   4.9203      0.00    -0.26       0.00     0.11
    49   4.9441      0.00    -0.74       0.00     0.45
    50   4.9442      0.00    -0.07       0.00    -0.27
    51   5.8376      0.00     0.06       0.00     0.10
    52   5.8895      0.00     0.11       0.00     0.22
    53   5.8896      0.00    -0.07       0.00    -0.16
    54   5.8896      0.00     0.26       0.00     0.02
    55   5.8896      0.00    -0.12       0.00    -0.16
    56   5.9851      0.00    -0.05       0.00     0.05
    57   5.9852      0.00     0.24       0.00    -0.11
    58   5.9852      0.00     0.03       0.00    -0.08
    59   5.9852      0.00    -0.25       0.00    -0.20
    60   6.0669      0.00     0.03       0.00    -0.04
    61   6.0669      0.00    -0.14       0.00     0.34
    62   6.0669      0.00    -0.12       0.00     0.00
    63   6.0670      0.00     0.24       0.00     0.05
    64   6.1187      0.00    -0.52       0.00    -0.16
    65   7.0253      0.00     0.19       0.00    -0.24
    66   7.0253      0.00    -0.01       0.00     0.21
    67   7.0254      0.00     0.08       0.00    -0.10
    68   7.0254      0.00     0.15       0.00    -0.02

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.

13FD28    quality flag:3

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

axisobj        39.491    39.491    39.491
ecceobj         0.185     0.185     0.185
incobj          6.856     6.856     6.856
qmin           31.032    31.453    31.387
qmax           48.604    48.264    48.385
amean          39.458    39.458    39.457
amin           38.889    38.880    38.900
amax           40.098    40.086    40.079
emean           0.183     0.178     0.181
emin            0.150     0.147     0.154
emax            0.215     0.205     0.208
imean           8.265     8.485     8.256
imin            6.704     6.858     6.674
imax            9.948    10.056     9.732
excite_mean     0.233     0.232     0.231
fracstop        1.000     1.000     1.000
cjmean          2.989     2.990     2.990

libcent 0       179.0     180.5     180.9
libamp  0       136.1     136.1     136.2
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       188.2     199.5     204.9
kozaiamp        180.0     180.0     180.0