Orbit Fit and Astrometric record for 13FG28

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: 13FG28    
# Created Sat Dec  4 02:11:38 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     23 observations of     25
# Arc:   7.92y
# First observation: 2013/03/17
#  Last observation: 2021/02/15
# Chi-squared of fit:    54.86 DOF:     40 RMS:  0.27
# Min/Max residuals:    -0.60    0.66
# Exact a, adot, b, bdot, g, gdot:
  1.788689E-05  2.983001E-02 -4.535340E-06 -1.047595E-02  2.728054E-02 -4.756727E-03
# Covariance matrix:
  2.7789E-13 -8.1005E-14 -1.4866E-14  8.7660E-15  3.1856E-13 -9.8799E-14
 -8.1005E-14  6.2786E-14  1.5292E-14 -1.6950E-14 -2.4538E-14  2.0361E-13
 -1.4866E-14  1.5292E-14  1.1899E-13 -2.7991E-14 -2.0854E-15  6.0163E-14
  8.7660E-15 -1.6950E-14 -2.7991E-14  1.5488E-14 -2.0102E-14 -7.6026E-14
  3.1856E-13 -2.4538E-14 -2.0854E-15 -2.0102E-14  8.5988E-13  2.6037E-13
 -9.8799E-14  2.0361E-13  6.0163E-14 -7.6026E-14  2.6037E-13  9.2113E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.818331  172.407070   -0.073452   -0.152155   -0.981312  2456368.614348
# Heliocentric elements and errors
Epoch:              2456368.5000  =  2013/03/17
Mean Anomaly:          343.69071 +/-     0.007
Argument of Peri:      238.62540 +/-     0.011
Long of Asc Node:      329.39783 +/-     0.000
Inclination:            21.03562 +/-     0.000
Eccentricity:         0.33862154 +/-    0.0001
Semi-Major Axis:     54.44002195 +/-    0.0126
Time of Perihelion: 2463015.2372 +/-      48.7
Perihelion:          36.00545798 +/-    0.0108
Aphelion:            72.87458591 +/-    0.0182
Period (y)              401.6850 +/-      0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -36.89853435 +/-    0.0012
Ecliptic Y            4.84655571 +/-    0.0002
Ecliptic Z           -5.61965571 +/-    0.0002
Ecliptic XDOT         0.00022552 +/-    0.0000
Ecliptic YDOT        -0.00305050 +/-    0.0000
Ecliptic ZDOT        -0.00096561 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.63746708 +/-    0.0012
Geocenter to KBO     36.65629691 +/-    0.0012
# Hcoef:  7.10

The following table shows the complete astrometric record for 13FG28. 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 (13FG28) followed by the observatory code and reference code for the source of the astrometry.

2013 03  17.11357  11 18 10.408  -05 05 22.20  22.4r 13FG28    807  C~1Iuo      
2013 03  17.11357  11 18 10.38   -05 05 22.5   22.9r 13FG28    W84  C~2J9e      
2013 03  17.17578  11 18 10.091  -05 05 20.52        13FG28    807  C~1Iuo      
2013 03  17.23999  11 18 09.749  -05 05 18.68        13FG28    807  C~1Iuo      
2013 03  17.23999  11 18 09.72   -05 05 19.0         13FG28    W84  C~2J9e      
2013 05  07.98076  11 14 46.396  -04 42 32.17        13FG28    807  C~1Iuo      
2013 05  08.00138  11 14 46.349  -04 42 31.72        13FG28    807  C~1Iuo      
2013 05  09.01042  11 14 44.218  -04 42 11.29        13FG28    807  C~1Iuo      
2013 05  09.03919  11 14 44.156  -04 42 10.84        13FG28    807  C~1Iuo      
2014 04  30.99177  11 20 23.489  -05 58 33.53  22.3r 13FG28    304  C~1Iuo      
2014 05  01.97990  11 20 20.627  -05 58 09.49        13FG28    304  C~1Iuo      
2016 03  13.24333  11 34 53.98   -08 50 10.2   22.4R 13FG28    G37  C~1zPe      
2016 03  13.29231  11 34 53.75   -08 50 08.6         13FG28    G37  C~1zPe      
2016 03  29.08100  11 33 32.90   -08 42 50.6   23.6V 13FG28    W84  C~1qmq      
2016 03  29.08794  11 33 32.90   -08 42 50.5         13FG28    W84  C~1qmq      
2016 03  29.09488  11 33 32.89   -08 42 50.4         13FG28    W84  C~1qmq      
2016 03  30.10655  11 33 27.82   -08 42 20.4         13FG28    W84  C~1qmq      
2016 03  30.11349  11 33 27.82   -08 42 20.3         13FG28    W84  C~1qmq      
2016 03  30.12043  11 33 27.83   -08 42 20.2         13FG28    W84  C~1qmq      
2016 03  31.09992  11 33 22.94   -08 41 50.6         13FG28    W84  C~1qmq      
2016 03  31.10686  11 33 22.94   -08 41 50.8         13FG28    W84  C~1qmq      
2016 03  31.11380  11 33 22.95   -08 41 51.1         13FG28    W84  C~1qmq      
2021 02  15.380350 12 06 03.302  -15 13 04.73  22.5G 13FG28    G37  C~4Z7u      
2021 02  15.423590 12 06 03.093  -15 13 04.88        13FG28    G37  C~4Z7u      
2021 02  15.485900 12 06 02.867  -15 13 03.95        13FG28    G37  C~4Z7u      

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    -0.24       0.00    -0.24
     2   0.0000      0.00     0.18       0.00     0.06
     3   0.0002      0.00     0.24       0.00     0.05
     4   0.0003      0.00    -0.37       0.00    -0.17
     5   0.0003      0.00     0.07       0.00     0.15
     6   0.1420      0.00     0.01       0.00     0.00
     7   0.1421      0.00    -0.00       0.00     0.03
     8   0.1448      0.00     0.02       0.00     0.08
     9   0.1449      0.00     0.02       0.00    -0.04
    10   1.1222      0.00 (  -3.10)      0.00 (  -2.01)
    11   1.1249      0.00 (  -3.71)      0.00 (  -2.13)
    12   2.9901      0.00    -0.10       0.00    -0.05
    13   2.9902      0.00     0.33       0.00     0.30
    14   3.0334      0.00    -0.56       0.00     0.14
    15   3.0335      0.00    -0.04       0.00     0.04
    16   3.0335      0.00     0.34       0.00    -0.07
    17   3.0363      0.00    -0.60       0.00     0.07
    18   3.0363      0.00    -0.08       0.00    -0.04
    19   3.0363      0.00     0.60       0.00    -0.14
    20   3.0390      0.00    -0.53       0.00     0.40
    21   3.0390      0.00    -0.01       0.00    -0.00
    22   3.0390      0.00     0.66       0.00    -0.51
    23   7.9186      0.00     0.04       0.00    -0.00
    24   7.9187      0.00    -0.33       0.00    -0.34
    25   7.9189      0.00     0.27       0.00     0.30

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.

13FG28    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        54.136    54.136    54.137
ecceobj         0.335     0.335     0.335
incobj         21.078    21.078    21.078
qmin           35.240    35.143    35.234
qmax           74.482    74.648    74.418
amean          54.397    54.372    54.384
amin           53.790    53.764    53.782
amax           55.166    55.164    55.143
emean           0.332     0.334     0.332
emin            0.314     0.315     0.314
emax            0.352     0.353     0.351
imean          22.540    22.392    22.517
imin           21.918    21.882    21.955
imax           23.186    23.035    23.067
excite_mean     0.507     0.507     0.507
fracstop        1.000     1.000     1.000
cjmean          2.895     2.896     2.896

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       179.7     184.3     179.1
kozaiamp        180.0     180.0     180.0