Orbit Fit and Astrometric record for 20KO53

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: 20KO53    
# Created Wed May  8 01:18:29 2024
# Orbit generated from Bernstein formalism
# Fitting     18 observations of     18
# Arc:  76.97d
# First observation: 2020/05/29
#  Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
   0.000001   0.014708   0.000004  -0.004359   0.021179   0.000000
# Chi-squared of fit:     0.09 DOF:     30 RMS:  0.01
# Min/Max residuals:    -0.02    0.03
# Exact a, adot, b, bdot, g, gdot:
  1.452840E-05  2.041898E-02 -3.069209E-06 -4.356677E-03  2.215765E-02  2.427050E-03
# Covariance matrix:
  3.0011E-13  7.0200E-11 -4.3974E-14 -4.0054E-13  1.4071E-11  4.3777E-10
  7.0200E-11  1.6848E-07 -1.0775E-10 -5.0334E-10  3.1312E-08  5.5258E-07
 -4.3974E-14 -1.0775E-10  2.4436E-13 -7.0445E-13 -2.0013E-11 -3.5001E-10
 -4.0054E-13 -5.0334E-10 -7.0445E-13  1.3006E-11 -9.5207E-11 -2.0562E-09
  1.4071E-11  3.1312E-08 -2.0013E-11 -9.5207E-11  5.8269E-09  1.0450E-07
  4.3777E-10  5.5258E-07 -3.5001E-10 -2.0562E-09  1.0450E-07  2.2531E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.630896  -73.045194    0.636636    0.035807   -0.782051  2458998.947781
# Heliocentric elements and errors
Epoch:              2458990.5000  =  2020/05/21
Mean Anomaly:           56.23623 +/-     7.091
Argument of Peri:       99.65290 +/-     6.126
Long of Asc Node:      118.19597 +/-     0.242
Inclination:            12.22148 +/-     0.238
Eccentricity:         0.11466486 +/-    0.0805
Semi-Major Axis:     48.53277204 +/-    2.1503
Time of Perihelion: 2439699.0543 +/-    2067.2
Perihelion:          42.96776874 +/-    4.3442
Aphelion:            54.09777534 +/-    4.5818
Period (y)              338.1122 +/-     22.47
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.77213933 +/-    0.0453
Ecliptic Y          -44.06535873 +/-    0.1486
Ecliptic Z            2.07152669 +/-    0.0071
Ecliptic XDOT         0.00251604 +/-    0.0001
Ecliptic YDOT         0.00042911 +/-    0.0002
Ecliptic ZDOT        -0.00052422 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.92575101 +/-    0.1431
Geocenter to KBO     45.13113852 +/-    0.1555
# Hcoef:  8.90

The following table shows the complete astrometric record for 20KO53. 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 (20KO53) followed by the observatory code and reference code for the source of the astrometry.

2020 05  29.44698  19 12 07.325  -19 45 12.29  25.4r 20KO53    266  C~6c5X      
2020 05  29.53371  19 12 07.023  -19 45 12.84  25.4r 20KO53    266  C~6c5X      
2020 05  29.61905  19 12 06.724  -19 45 13.36  25.4r 20KO53    266  C~6c5X      
2020 05  31.44139  19 12 00.413  -19 45 24.91  25.5r 20KO53    266  C~6c5X      
2020 05  31.52961  19 12 00.095  -19 45 25.50  25.5r 20KO53    266  C~6c5X      
2020 05  31.61814  19 11 59.776  -19 45 26.06  25.5r 20KO53    266  C~6c5X      
2020 06  21.45390  19 10 36.037  -19 48 09.42  25.3r 20KO53    266  C~6c5X      
2020 06  21.53376  19 10 35.678  -19 48 10.14  25.3r 20KO53    266  C~6c5X      
2020 06  21.61261  19 10 35.325  -19 48 10.83  25.3r 20KO53    266  C~6c5X      
2020 06  24.43648  19 10 22.783  -19 48 36.79  25.5r 20KO53    266  C~6c5X      
2020 06  24.51899  19 10 22.407  -19 48 37.56  25.5r 20KO53    266  C~6c5X      
2020 06  24.61428  19 10 21.973  -19 48 38.43  25.5r 20KO53    266  C~6c5X      
2020 08  12.26680  19 06 49.192  -19 57 04.53  25.5r 20KO53    266  C~6c5X      
2020 08  12.34843  19 06 48.888  -19 57 05.39  25.5r 20KO53    266  C~6c5X      
2020 08  12.42950  19 06 48.586  -19 57 06.22  25.5r 20KO53    266  C~6c5X      
2020 08  14.24286  19 06 42.088  -19 57 24.93  25.5r 20KO53    266  C~6c5X      
2020 08  14.33285  19 06 41.763  -19 57 25.87  25.5r 20KO53    266  C~6c5X      
2020 08  14.42134  19 06 41.443  -19 57 26.77  25.5r 20KO53    266  C~6c5X      

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     0.01       0.00    -0.01
     2   0.0002     -4.30     0.01      -0.02    -0.01
     3   0.0005     -8.55     0.00      -0.02    -0.01
     4   0.0055    -98.39    -0.01      -0.51     0.00
     5   0.0057   -102.92    -0.01      -0.54    -0.01
     6   0.0059   -107.46    -0.01      -0.54     0.00
     7   0.0630  -1300.55    -0.01     -18.42     0.02
     8   0.0632  -1305.67    -0.02     -18.53     0.02
     9   0.0634  -1310.69    -0.01     -18.61     0.03
    10   0.0712  -1489.54     0.01     -22.99    -0.01
    11   0.0714  -1494.90     0.02     -23.11    -0.01
    12   0.0716  -1501.09     0.01     -23.24    -0.01
    13   0.2048  -4542.05     0.00    -171.45    -0.02
    14   0.2051  -4546.40     0.01    -171.81    -0.02
    15   0.2053  -4550.73    -0.00    -172.14    -0.02
    16   0.2103  -4643.94    -0.00    -180.16     0.02
    17   0.2105  -4648.61     0.00    -180.56     0.01
    18   0.2107  -4653.19    -0.01    -180.94     0.01

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.

20KO53    quality flag:1

Type:      CLASSICAL11:4EEEEEE CLASSICAL

axisobj        47.870    58.621    43.167
ecceobj         0.107     0.336     0.100
incobj         12.261    11.557    13.076
qmin           42.192    37.899    38.085
qmax           54.571    81.339    48.915
amean          48.190    59.100    43.356
amin           47.784    58.434    43.004
amax           48.631    59.937    43.724
emean           0.108     0.345     0.104
emin            0.096     0.332     0.088
emax            0.122     0.357     0.119
imean          10.733     9.510    11.592
imin           10.421     8.994    10.928
imax           11.077    10.187    12.324
excite_mean     0.215     0.382     0.226
fracstop        1.000     1.000     1.000
cjmean          3.096     3.104     3.033

libcent 0      -180.0     178.9    -180.0
libamp  0      -180.0      48.1    -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       191.0     197.7     175.4
kozaiamp        180.0     180.0     179.9