Orbit Fit and Astrometric record for 20KC54

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: 20KC54    
# Created Wed May  8 01:18:29 2024
# Orbit generated from Bernstein formalism
# Fitting     21 observations of     21
# Arc:  78.97d
# First observation: 2020/05/28
#  Last observation: 2020/08/15
Preliminary a, adot, b, bdot, g, gdot:
   0.000002   0.017368   0.000005  -0.000432   0.022878   0.000000
# Chi-squared of fit:     1.07 DOF:     36 RMS:  0.04
# Min/Max residuals:    -0.06    0.07
# Exact a, adot, b, bdot, g, gdot:
  1.526757E-05  2.267048E-02 -1.175200E-07 -4.290492E-04  2.376613E-02 -6.947150E-04
# Covariance matrix:
  2.9388E-13  9.5387E-12 -1.2185E-14 -6.1759E-15  2.8779E-12  2.3349E-10
  9.5387E-12  1.0996E-07 -9.7854E-11  2.0656E-11  2.0599E-08  3.5671E-07
 -1.2185E-14 -9.7854E-11  2.4597E-13 -9.9162E-13 -1.8352E-11 -3.2167E-10
 -6.1759E-15  2.0656E-11 -9.9162E-13  1.0621E-11  3.8146E-12  5.4890E-11
  2.8779E-12  2.0599E-08 -1.8352E-11  3.8146E-12  3.8653E-09  6.8179E-08
  2.3349E-10  3.5671E-07 -3.2167E-10  5.4890E-11  6.8179E-08  1.4538E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.413619  -72.490832    0.657124    0.032118   -0.765024  2458997.947541
# Heliocentric elements and errors
Epoch:              2458990.5000  =  2020/05/21
Mean Anomaly:          267.36374 +/-    22.307
Argument of Peri:      211.78421 +/-    20.598
Long of Asc Node:      172.71706 +/-     0.415
Inclination:             2.59217 +/-     0.008
Eccentricity:         0.04630120 +/-    0.0545
Semi-Major Axis:     42.67407202 +/-    0.6748
Time of Perihelion: 2485191.8125 +/-    6278.5
Perihelion:          40.69821115 +/-    2.4116
Aphelion:            44.64993290 +/-    2.4291
Period (y)              278.7753 +/-      6.61
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.25721546 +/-    0.0331
Ecliptic Y          -41.02639348 +/-    0.1049
Ecliptic Z            1.77204730 +/-    0.0046
Ecliptic XDOT         0.00247532 +/-    0.0001
Ecliptic YDOT         0.00086354 +/-    0.0001
Ecliptic ZDOT        -0.00005299 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.85492322 +/-    0.1008
Geocenter to KBO     42.07668853 +/-    0.1101
# Hcoef:  8.57

The following table shows the complete astrometric record for 20KC54. 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 (20KC54) followed by the observatory code and reference code for the source of the astrometry.

2020 05  28.44674  19 14 34.449  -19 53 58.58  24.8r 20KC54    266  C~6c5Z      
2020 05  28.50129  19 14 34.251  -19 53 58.83  24.8r 20KC54    266  C~6c5Z      
2020 05  28.55756  19 14 34.047  -19 53 59.08  24.8r 20KC54    266  C~6c5Z      
2020 06  01.43269  19 14 19.812  -19 54 17.11  25.1r 20KC54    266  C~6c5Z      
2020 06  01.47325  19 14 19.655  -19 54 17.32  25.1r 20KC54    266  C~6c5Z      
2020 06  01.60571  19 14 19.140  -19 54 17.98  25.1r 20KC54    266  C~6c5Z      
2020 06  20.45583  19 12 58.364  -19 56 16.46  24.9r 20KC54    266  C~6c5Z      
2020 06  20.53000  19 12 58.011  -19 56 17.01  24.9r 20KC54    266  C~6c5Z      
2020 06  20.62233  19 12 57.572  -19 56 17.68  24.9r 20KC54    266  C~6c5Z      
2020 06  22.44948  19 12 48.975  -19 56 31.44  24.6r 20KC54    266  C~6c5Z      
2020 06  22.52092  19 12 48.631  -19 56 31.99  24.6r 20KC54    266  C~6c5Z      
2020 06  22.59118  19 12 48.292  -19 56 32.51  24.6r 20KC54    266  C~6c5Z      
2020 06  25.44823  19 12 34.653  -19 56 54.77  25.1r 20KC54    266  C~6c5Z      
2020 06  25.52653  19 12 34.269  -19 56 55.39  25.1r 20KC54    266  C~6c5Z      
2020 06  25.60368  19 12 33.892  -19 56 55.98  25.1r 20KC54    266  C~6c5Z      
2020 08  13.24332  19 08 46.254  -20 04 10.20  25.1r 20KC54    266  C~6c5Z      
2020 08  13.33331  19 08 45.897  -20 04 10.99  25.1r 20KC54    266  C~6c5Z      
2020 08  13.42301  19 08 45.542  -20 04 11.77  25.1r 20KC54    266  C~6c5Z      
2020 08  15.24331  19 08 38.596  -20 04 27.47  24.1r 20KC54    266  C~7ulo      
2020 08  15.33985  19 08 38.225  -20 04 28.31  24.1r 20KC54    266  C~7ulo      
2020 08  15.42111  19 08 37.913  -20 04 29.00  24.1r 20KC54    266  C~7ulo      

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    -0.04       0.00    -0.03
     2   0.0001     -2.80    -0.04       0.11    -0.04
     3   0.0003     -5.69    -0.03       0.23    -0.04
     4   0.0109   -207.12     0.04       7.86     0.04
     5   0.0110   -209.35     0.05       7.93     0.04
     6   0.0114   -216.63     0.05       8.20     0.04
     7   0.0630  -1361.64     0.02      34.08    -0.01
     8   0.0632  -1366.65     0.03      34.16    -0.01
     9   0.0635  -1372.88     0.03      34.27    -0.01
    10   0.0685  -1494.88    -0.02      35.74     0.02
    11   0.0686  -1499.76    -0.01      35.80     0.02
    12   0.0688  -1504.57    -0.02      35.88     0.02
    13   0.0767  -1698.17    -0.02      37.74    -0.00
    14   0.0769  -1703.62    -0.02      37.80    -0.01
    15   0.0771  -1708.96    -0.02      37.87    -0.00
    16   0.2103  -4947.31     0.07      -3.30    -0.06
    17   0.2105  -4952.41     0.06      -3.49    -0.06
    18   0.2107  -4957.47     0.06      -3.67    -0.06
    19   0.2157  -5056.56    -0.06      -7.66     0.05
    20   0.2160  -5061.85    -0.06      -7.87     0.06
    21   0.2162  -5066.30    -0.06      -8.04     0.06

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.

20KC54    quality flag:1

Type:      CLASSICAL CLASSICAL  SCATNEAR

axisobj        42.173    45.954    40.158
ecceobj         0.052     0.110     0.167
incobj          2.593     2.571     2.616
qmin           39.322    40.399    32.575
qmax           45.681    52.308    50.555
amean          42.391    46.218    40.224
amin           42.045    45.836    39.511
amax           42.749    46.637    41.770
emean           0.047     0.109     0.143
emin            0.024     0.096     0.104
emax            0.069     0.122     0.210
imean           3.678     2.862     2.165
imin            2.381     2.407     0.444
imax            4.872     3.244     3.474
excite_mean     0.080     0.120     0.149
fracstop        1.000     1.000     1.000
cjmean          3.075     3.111     3.035

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       182.5     177.6     182.6
kozaiamp        180.0     180.0     180.0