Orbit Fit and Astrometric record for 13FT28

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: 13FT28    
# Created Wed Dec  8 02:11:39 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     18 observations of     18
# Arc:   8.01y
# First observation: 2013/03/16
#  Last observation: 2021/03/20
# Chi-squared of fit:    11.92 DOF:     30 RMS:  0.14
# Min/Max residuals:    -0.26    0.32
# Exact a, adot, b, bdot, g, gdot:
  1.529584E-05  1.592854E-02  3.235509E-06  4.538643E-03  1.724710E-02 -9.195126E-03
# Covariance matrix:
  4.1346E-13 -1.7103E-13  1.6570E-14 -3.2510E-14  3.0885E-13 -8.6973E-13
 -1.7103E-13  1.5005E-13 -2.4127E-14  3.6911E-14 -7.7520E-14  9.6051E-13
  1.6570E-14 -2.4127E-14  1.3315E-13 -3.1660E-14 -2.2532E-15 -1.7887E-13
 -3.2510E-14  3.6911E-14 -3.1660E-14  2.2608E-14 -9.0574E-15  2.6532E-13
  3.0885E-13 -7.7520E-14 -2.2532E-15 -9.0574E-15  4.3914E-13 -2.7715E-13
 -8.6973E-13  9.6051E-13 -1.7887E-13  2.6532E-13 -2.7715E-13  6.8766E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.036164 -164.790833    0.331007   -0.114937   -0.931786  2456367.759258
# Heliocentric elements and errors
Epoch:              2456368.5000  =  2013/03/17
Mean Anomaly:          356.53652 +/-     0.007
Argument of Peri:       40.61653 +/-     0.013
Long of Asc Node:      217.67967 +/-     0.000
Inclination:            17.40292 +/-     0.000
Eccentricity:         0.84842552 +/-    0.0002
Semi-Major Axis:    287.38880780 +/-    0.3699
Time of Perihelion: 2473488.8553 +/-    3402.3
Perihelion:          43.56081053 +/-    0.0800
Aphelion:           531.21680506 +/-    0.6860
Period (y)             4872.0639 +/-      9.41
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -56.52036459 +/-    0.0021
Ecliptic Y          -15.02154813 +/-    0.0006
Ecliptic Z           -7.10222989 +/-    0.0003
Ecliptic XDOT         0.00196984 +/-    0.0000
Ecliptic YDOT        -0.00208248 +/-    0.0000
Ecliptic ZDOT         0.00089399 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   58.91262959 +/-    0.0021
Geocenter to KBO     57.98127922 +/-    0.0022
# Hcoef:  7.19

The following table shows the complete astrometric record for 13FT28. 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 (13FT28) followed by the observatory code and reference code for the source of the astrometry.

2013 03  16.25848  12 44 55.262  -12 28 17.85  24.4r 13FT28    807  C~1x8W      
2013 03  16.30593  12 44 55.115  -12 28 16.92        13FT28    807  C~1x8W      
2013 03  16.36493  12 44 54.938  -12 28 16.01        13FT28    807  C~1x8W      
2013 05  08.01481  12 42 15.372  -12 08 25.96        13FT28    807  C~1x8W      
2013 05  08.10633  12 42 15.149  -12 08 23.97        13FT28    807  C~1x8W      
2013 05  08.19040  12 42 14.918  -12 08 22.16        13FT28    807  C~1x8W      
2013 07  08.00328  12 41 20.284  -11 53 07.17        13FT28    304  C~1x8W      
2013 07  08.05365  12 41 20.311  -11 53 07.10        13FT28    304  C~1x8W      
2014 05  01.16518  12 46 26.119  -12 18 15.90        13FT28    304  C~1x8W      
2014 05  01.20695  12 46 26.011  -12 18 14.59  24.1r 13FT28    304  C~1x8W      
2014 05  02.16275  12 46 23.351  -12 17 52.25        13FT28    304  C~1x8W      
2015 04  20.24921  12 50 56.670  -12 29 45.22        13FT28    304  C~1x8W      
2015 04  20.28162  12 50 56.584  -12 29 44.43        13FT28    304  C~1x8W      
2016 03  08.32581  12 57 13.500  -12 51 46.87        13FT28    304  C~1x8W      
2016 03  08.37846  12 57 13.345  -12 51 45.77        13FT28    304  C~1x8W      
2016 03  09.40246  12 57 10.408  -12 51 28.76        13FT28    304  C~1x8W      
2021 03  20.373710 13 18 07.197  -13 21 24.24  25.4G 13FT28    G37  C~4hys      
2021 03  20.420300 13 18 07.029  -13 21 23.14        13FT28    G37  C~4hys      

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    -0.06       0.00     0.23
     2   0.0001      0.00    -0.05       0.00     0.25
     3   0.0003      0.00     0.05       0.00     0.03
     4   0.1444      0.00     0.18       0.00     0.04
     5   0.1447      0.00     0.32       0.00    -0.04
     6   0.1449      0.00     0.05       0.00    -0.14
     7   0.3114      0.00     0.02       0.00    -0.04
     8   0.3116      0.00    -0.23       0.00    -0.21
     9   1.1250      0.00    -0.21       0.00    -0.26
    10   1.1251      0.00    -0.05       0.00     0.07
    11   1.1277      0.00    -0.19       0.00    -0.02
    12   2.0944      0.00    -0.20       0.00     0.03
    13   2.0945      0.00     0.05       0.00     0.04
    14   2.9790      0.00     0.18       0.00    -0.10
    15   2.9791      0.00     0.14       0.00     0.12
    16   2.9819      0.00     0.01       0.00    -0.07
    17   8.0113      0.00     0.13       0.00    -0.07
    18   8.0114      0.00    -0.15       0.00     0.11

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.

13FT28    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj       280.775   280.762   280.788
ecceobj         0.845     0.845     0.845
incobj         17.432    17.432    17.432
qmin           40.530    40.480    40.572
qmax          596.327   597.605   595.400
amean         293.489   293.489   294.394
amin          278.901   280.507   280.788
amax          319.866   320.541   319.429
emean           0.852     0.852     0.852
emin            0.842     0.842     0.842
emax            0.864     0.864     0.864
imean          17.833    17.730    17.884
imin           17.341    17.183    17.424
imax           18.422    18.422    18.441
excite_mean     0.905     0.905     0.906
fracstop        1.000     1.000     1.000
cjmean          3.216     3.216     3.216

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        50.1      52.8      48.8
kozaiamp         11.0      13.6       9.5