Orbit Fit and Astrometric record for 20KM53

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: 20KM53    
# Created Wed May  8 01:18:29 2024
# Orbit generated from Bernstein formalism
# Fitting     18 observations of     18
# Arc:   1.06y
# First observation: 2020/05/26
#  Last observation: 2021/06/17
Preliminary a, adot, b, bdot, g, gdot:
  -0.000000   0.022028  -0.000000   0.000261   0.023137   0.000000
# Chi-squared of fit:     3.43 DOF:     30 RMS:  0.08
# Min/Max residuals:    -0.18    0.17
# Exact a, adot, b, bdot, g, gdot:
  1.477786E-05  2.193274E-02  1.406266E-07  2.587931E-04  2.308328E-02 -8.706428E-04
# Covariance matrix:
  2.5802E-13  6.9495E-13 -1.9388E-15  1.7414E-14  5.2916E-13  4.7163E-11
  6.9495E-13  1.3905E-10 -2.7394E-13  2.8101E-12  5.5317E-11  7.3048E-09
 -1.9388E-15 -2.7394E-13  1.5345E-13 -1.7461E-13 -1.0972E-13 -1.4436E-11
  1.7414E-14  2.8101E-12 -1.7461E-13  4.5562E-13  1.1209E-12  1.4804E-10
  5.2916E-13  5.5317E-11 -1.0972E-13  1.1209E-12  2.2411E-11  2.9174E-09
  4.7163E-11  7.3048E-09 -1.4436E-11  1.4804E-10  2.9174E-09  3.8487E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.864970  -73.438863    0.670104    0.024419   -0.753842  2458995.943811
# Heliocentric elements and errors
Epoch:              2458990.5000  =  2020/05/21
Mean Anomaly:          290.15109 +/-     5.069
Argument of Peri:      145.36856 +/-     8.115
Long of Asc Node:      216.50303 +/-     0.051
Inclination:             1.96040 +/-     0.001
Eccentricity:         0.05755420 +/-    0.0274
Semi-Major Axis:     44.84373825 +/-    0.0920
Time of Perihelion: 2480272.2947 +/-    1543.1
Perihelion:          42.26279279 +/-    1.2324
Aphelion:            47.42468372 +/-    1.2332
Period (y)              300.3039 +/-      0.92
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           11.92001722 +/-    0.0025
Ecliptic Y          -42.42308508 +/-    0.0085
Ecliptic Z            1.40993370 +/-    0.0003
Ecliptic XDOT         0.00247189 +/-    0.0000
Ecliptic YDOT         0.00084489 +/-    0.0001
Ecliptic ZDOT         0.00002709 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.08846642 +/-    0.0082
Geocenter to KBO     43.32140584 +/-    0.0089
# Hcoef:  8.95

The following table shows the complete astrometric record for 20KM53. 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 (20KM53) followed by the observatory code and reference code for the source of the astrometry.

2020 05  26.44301  19 10 51.434  -20 33 41.98  25.6r 20KM53    266  C~7ulo      
2020 05  26.50149  19 10 51.231  -20 33 42.22  25.6r 20KM53    266  C~7ulo      
2020 05  26.55599  19 10 51.041  -20 33 42.44  25.6r 20KM53    266  C~7ulo      
2020 05  29.44698  19 10 40.923  -20 33 54.40  25.1r 20KM53    266  C~6c5X      
2020 05  29.53371  19 10 40.604  -20 33 54.78  25.1r 20KM53    266  C~6c5X      
2020 05  29.61905  19 10 40.290  -20 33 55.15  25.1r 20KM53    266  C~6c5X      
2020 08  12.26680  19 05 07.434  -20 42 44.60  25.3r 20KM53    266  C~6c5X      
2020 08  12.34843  19 05 07.117  -20 42 45.20  25.3r 20KM53    266  C~6c5X      
2020 08  12.42950  19 05 06.803  -20 42 45.79  25.3r 20KM53    266  C~6c5X      
2020 08  14.24286  19 05 00.037  -20 42 59.07  25.1r 20KM53    266  C~6c5X      
2020 08  14.33285  19 04 59.698  -20 42 59.73  25.1r 20KM53    266  C~6c5X      
2020 08  14.42134  19 04 59.365  -20 43 00.36  25.1r 20KM53    266  C~6c5X      
2021 06  09.44200  19 15 20.493  -20 24 30.97  25.6r 20KM53    266  C~6c5X      
2021 06  09.52600  19 15 20.141  -20 24 31.48  25.6r 20KM53    266  C~6c5X      
2021 06  09.61425  19 15 19.771  -20 24 32.00  25.6r 20KM53    266  C~6c5X      
2021 06  17.43604  19 14 46.229  -20 25 22.38  25.3r 20KM53    266  C~6c5X      
2021 06  17.50052  19 14 45.937  -20 25 22.83  25.3r 20KM53    266  C~6c5X      
2021 06  17.57952  19 14 45.579  -20 25 23.37  25.3r 20KM53    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     0.05       0.00     0.01
     2   0.0002     -2.86     0.06       0.11     0.01
     3   0.0003     -5.53     0.06       0.21     0.00
     4   0.0082   -148.04    -0.05       5.53    -0.02
     5   0.0085   -152.53    -0.06       5.69    -0.01
     6   0.0087   -156.95    -0.06       5.86    -0.02
     7   0.2131  -4860.10    -0.02      24.74     0.03
     8   0.2133  -4864.59    -0.02      24.65     0.04
     9   0.2135  -4869.04    -0.01      24.56     0.03
    10   0.2185  -4964.91     0.02      22.01    -0.02
    11   0.2187  -4969.72     0.02      21.89    -0.02
    12   0.2190  -4974.43     0.02      21.79    -0.02
    13   1.0376   3820.28    -0.00      76.04    -0.18
    14   1.0379   3815.31     0.00      76.17    -0.18
    15   1.0381   3810.08     0.00      76.32    -0.18
    16   1.0595   3335.84    -0.00      86.45     0.17
    17   1.0597   3331.71    -0.00      86.52     0.17
    18   1.0599   3326.64    -0.00      86.63     0.17

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.

20KM53    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.300    44.542    44.284
ecceobj         0.059     0.131     0.060
incobj          1.970     1.969     1.970
qmin           41.093    37.893    41.000
qmax           48.146    51.861    48.244
amean          44.514    44.729    44.497
amin           44.167    44.361    44.146
amax           44.878    45.150    44.882
emean           0.059     0.133     0.061
emin            0.044     0.117     0.046
emax            0.073     0.149     0.075
imean           3.351     3.526     3.356
imin            2.769     2.767     2.772
imax            3.879     4.292     3.886
excite_mean     0.083     0.147     0.084
fracstop        1.000     1.000     1.000
cjmean          3.099     3.084     3.099

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       183.3     188.7     182.9
kozaiamp        180.0     180.0     179.9