Orbit Fit and Astrometric record for 13FK28

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: 13FK28    
# Created Fri Mar 29 01:14:56 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     28 observations of     28
# Arc:  11.07y
# First observation: 2013/02/16
#  Last observation: 2024/03/13
# Chi-squared of fit:    53.11 DOF:     50 RMS:  0.24
# Min/Max residuals:    -0.86    0.56
# Exact a, adot, b, bdot, g, gdot:
  1.790791E-05  2.845514E-02  2.797146E-07 -8.661506E-06  2.670770E-02  1.225222E-03
# Covariance matrix:
  4.3683E-13  1.6680E-14 -1.1867E-14 -5.6629E-16  6.8307E-13  8.0656E-14
  1.6680E-14  6.7716E-14 -3.1418E-15 -1.0536E-16  1.8817E-13  2.3173E-13
 -1.1867E-14 -3.1418E-15  1.1977E-13 -2.0594E-14 -2.8916E-14 -9.9943E-15
 -5.6629E-16 -1.0536E-16 -2.0594E-14  7.6766E-15 -1.2934E-15 -2.9899E-16
  6.8307E-13  1.8817E-13 -2.8916E-14 -1.2934E-15  1.6786E-12  6.0453E-13
  8.0656E-14  2.3173E-13 -9.9943E-15 -2.9899E-16  6.0453E-13  9.0803E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.359845  157.165945    0.161830   -0.208445   -0.951633  2456339.782896
# Heliocentric elements and errors
Epoch:              2456340.5000  =  2013/02/17
Mean Anomaly:           18.33331 +/-     0.029
Argument of Peri:      246.62660 +/-     0.037
Long of Asc Node:      247.18181 +/-     0.001
Inclination:            12.04870 +/-     0.000
Eccentricity:         0.11486903 +/-    0.0001
Semi-Major Axis:     43.01898323 +/-    0.0092
Time of Perihelion: 2451092.0987 +/-       8.5
Perihelion:          38.07743418 +/-    0.0100
Aphelion:            47.96053229 +/-    0.0117
Period (y)              282.1619 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -34.54263176 +/-    0.0016
Ecliptic Y           14.72234082 +/-    0.0007
Ecliptic Z           -8.01459921 +/-    0.0004
Ecliptic XDOT        -0.00125110 +/-    0.0000
Ecliptic YDOT        -0.00263997 +/-    0.0000
Ecliptic ZDOT        -0.00002762 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.39495486 +/-    0.0015
Geocenter to KBO     37.44239533 +/-    0.0018
# Hcoef:  7.81

The following table shows the complete astrometric record for 13FK28. 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 (13FK28) followed by the observatory code and reference code for the source of the astrometry.

2013 02  16.282118 10 17 16.19   -02 36 49.5         13FK28    W84  C~55Mp      
2013 02  16.285914 10 17 16.18   -02 36 49.6         13FK28    W84  C~55Mp      
2013 02  16.289711 10 17 16.16   -02 36 49.6         13FK28    W84  C~55Mp      
2013 03  16.03362  10 15 02.138  -02 22 58.44  23.4r 13FK28    807  C~1M7X      
2013 03  16.10813  10 15 01.807  -02 22 56.03        13FK28    807  C~1M7X      
2013 03  16.17826  10 15 01.472  -02 22 53.73        13FK28    807  C~1M7X      
2013 03  17.03265  10 14 57.696  -02 22 25.25        13FK28    807  C~1M7X      
2013 03  17.051956 10 14 57.56   -02 22 25.3         13FK28    W84  C~55Mp      
2013 04  03.157512 10 13 49.60   -02 12 55.6         13FK28    W84  C~55Mp      
2013 04  03.158669 10 13 49.59   -02 12 55.7         13FK28    W84  C~55Mp      
2014 03  23.995625 10 20 32.89   -02 54 32.7         13FK28    W84  C~55Mp      
2014 03  24.001308 10 20 32.85   -02 54 32.7         13FK28    W84  C~55Mp      
2014 03  24.007662 10 20 32.83   -02 54 32.4         13FK28    W84  C~55Mp      
2014 03  27.007083 10 20 20.56   -02 52 50.9   23.7V 13FK28    W84  C~55Mp      
2014 03  27.015752 10 20 20.53   -02 52 50.7   23.6V 13FK28    W84  C~55Mp      
2014 03  27.017824 10 20 20.51   -02 52 50.8         13FK28    W84  C~55Mp      
2014 03  27.019884 10 20 20.50   -02 52 50.5         13FK28    W84  C~55Mp      
2014 03  27.026875 10 20 20.48   -02 52 50.3         13FK28    W84  C~55Mp      
2017 03  23.074676 10 38 45.98   -04 41 27.3         13FK28    W84  C~55Mp      
2017 03  23.081042 10 38 45.94   -04 41 27.1         13FK28    W84  C~55Mp      
2017 03  24.129792 10 38 41.35   -04 40 50.9         13FK28    W84  C~55Mp      
2017 03  24.136157 10 38 41.32   -04 40 50.8         13FK28    W84  C~55Mp      
2019 04  04.071123 10 50 01.33   -05 44 29.1         13FK28    W84  C~55Mp      
2019 04  04.078067 10 50 01.29   -05 44 28.8         13FK28    W84  C~55Mp      
2019 04  05.066690 10 49 57.41   -05 43 54.3         13FK28    W84  C~55Mp      
2019 04  05.072245 10 49 57.38   -05 43 54.2         13FK28    W84  C~55Mp      
2024 03  13.29628  11 21 36.162  -08 43 48.05  23.8G 13FK28    G37              
2024 03  13.33894  11 21 36.001  -08 43 47.29        13FK28    G37              

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    -0.23       0.00     0.03
     2   0.0000      0.00    -0.09       0.00    -0.17
     3   0.0000      0.00    -0.10       0.00    -0.27
     4   0.0760      0.00     0.37       0.00     0.40
     5   0.0762      0.00     0.49       0.00     0.35
     6   0.0764      0.00     0.25       0.00     0.33
     7   0.0787      0.00     0.46       0.00     0.56
     8   0.0788      0.00    -0.27       0.00    -0.13
     9   0.1256      0.00    -0.08       0.00    -0.01
    10   0.1256      0.00    -0.16       0.00    -0.15
    11   1.0971      0.00     0.10       0.00    -0.08
    12   1.0971      0.00    -0.14       0.00    -0.27
    13   1.0971      0.00    -0.04       0.00    -0.18
    14   1.1053      0.00    -0.15       0.00    -0.02
    15   1.1054      0.00    -0.07       0.00    -0.11
    16   1.1054      0.00    -0.25       0.00    -0.28
    17   1.1054      0.00    -0.27       0.00    -0.05
    18   1.1054      0.00    -0.14       0.00    -0.09
    19   4.0953      0.00     0.24       0.00    -0.05
    20   4.0953      0.00     0.06       0.00    -0.07
    21   4.0981      0.00    -0.00       0.00     0.09
    22   4.0982      0.00    -0.03       0.00    -0.03
    23   6.1267      0.00     0.11       0.00     0.11
    24   6.1268      0.00    -0.07       0.00     0.17
    25   6.1295      0.00     0.03       0.00     0.03
    26   6.1295      0.00    -0.09       0.00    -0.07
    27  11.0692      0.00    -0.86       0.00     0.49
    28  11.0693      0.00    -0.13       0.00    -0.09

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.

13FK28    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        42.885    42.885    42.885
ecceobj         0.112     0.112     0.112
incobj         12.039    12.039    12.039
qmin           37.402    37.403    37.404
qmax           48.718    48.758    48.710
amean          42.937    42.937    42.937
amin           42.589    42.591    42.593
amax           43.320    43.320    43.320
emean           0.110     0.110     0.110
emin            0.096     0.096     0.096
emax            0.126     0.126     0.125
imean          13.702    13.701    13.701
imin           13.017    13.018    13.008
imax           14.429    14.429    14.428
excite_mean     0.261     0.261     0.261
fracstop        1.000     1.000     1.000
cjmean          3.007     3.007     3.007

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       180.6     180.6     180.7
kozaiamp        180.0     180.0     180.0