Orbit Fit and Astrometric record for 20KT54

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: 20KT54    
# Created Sun Dec 22 02:11:12 2024
# Orbit generated from Bernstein formalism
# Fitting     21 observations of     21
# Arc:  76.98d
# First observation: 2020/05/28
#  Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
   0.000005   0.017599   0.000005   0.007873   0.024316   0.000000
# Chi-squared of fit:     1.08 DOF:     36 RMS:  0.04
# Min/Max residuals:    -0.09    0.08
# Exact a, adot, b, bdot, g, gdot:
  1.506563E-05  2.378797E-02  5.305048E-06  7.842608E-03  2.535568E-02  2.728696E-03
# Covariance matrix:
  1.9716E-13 -6.3457E-14 -6.7214E-15  2.2176E-13  7.5169E-13  1.3565E-10
 -6.3457E-14  1.1469E-07 -7.9484E-11  3.1535E-10  2.1585E-08  3.8242E-07
 -6.7214E-15 -7.9484E-11  1.8363E-13 -1.1836E-12 -1.5014E-11 -2.7680E-10
  2.2176E-13  3.1535E-10 -1.1836E-12  1.6873E-11  6.1219E-11  1.4726E-09
  7.5169E-13  2.1585E-08 -1.5014E-11  6.1219E-11  4.0682E-09  7.3110E-08
  1.3565E-10  3.8242E-07 -2.7680E-10  1.4726E-09  7.3110E-08  1.5300E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.092287  -72.083329    0.662553    0.027656   -0.760502  2458997.947541
# Heliocentric elements and errors
Epoch:              2458990.5000  =  2020/05/21
Mean Anomaly:           77.34517 +/-    13.569
Argument of Peri:      278.60038 +/-    11.196
Long of Asc Node:      280.75746 +/-     0.093
Inclination:            18.30436 +/-     0.248
Eccentricity:         0.09269698 +/-    0.0502
Semi-Major Axis:     40.69625088 +/-    1.0580
Time of Perihelion: 2438617.2317 +/-    3484.7
Perihelion:          36.92383144 +/-    2.2573
Aphelion:            44.46867033 +/-    2.3474
Period (y)              259.6210 +/-     10.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           11.73390753 +/-    0.0305
Ecliptic Y          -38.43605652 +/-    0.0943
Ecliptic Z            1.44016113 +/-    0.0036
Ecliptic XDOT         0.00253320 +/-    0.0001
Ecliptic YDOT         0.00054297 +/-    0.0001
Ecliptic ZDOT         0.00085679 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.21304627 +/-    0.0906
Geocenter to KBO     39.43889702 +/-    0.0992
# Hcoef: 10.67

The following table shows the complete astrometric record for 20KT54. 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 (20KT54) followed by the observatory code and reference code for the source of the astrometry.

2020 05  28.44674  19 16 28.175  -20 09 56.91  26.7r 20KT54    266  C~6c5a      
2020 05  28.50129  19 16 27.962  -20 09 56.95  26.7r 20KT54    266  C~6c5a      
2020 05  28.55756  19 16 27.742  -20 09 56.98  26.7r 20KT54    266  C~6c5a      
2020 05  30.43935  19 16 20.437  -20 09 57.99  26.8r 20KT54    266  C~6c5a      
2020 05  30.53044  19 16 20.069  -20 09 58.07  26.8r 20KT54    266  C~6c5a      
2020 05  30.61862  19 16 19.711  -20 09 58.14  26.8r 20KT54    266  C~6c5a      
2020 06  01.43269  19 16 12.420  -20 09 59.81  26.3r 20KT54    266  C~6c5a      
2020 06  01.47325  19 16 12.251  -20 09 59.86  26.3r 20KT54    266  C~6c5a      
2020 06  01.60571  19 16 11.697  -20 10 00.01  26.3r 20KT54    266  C~6c5a      
2020 06  20.45583  19 14 44.707  -20 10 45.74  27.0r 20KT54    266  C~6c5a      
2020 06  20.52860  19 14 44.334  -20 10 46.00  27.0r 20KT54    266  C~6c5a      
2020 06  20.62233  19 14 43.853  -20 10 46.32  27.0r 20KT54    266  C~6c5a      
2020 06  22.44948  19 14 34.589  -20 10 53.10  26.4r 20KT54    266  C~6c5a      
2020 06  22.52092  19 14 34.218  -20 10 53.37  26.4r 20KT54    266  C~6c5a      
2020 06  22.59118  19 14 33.853  -20 10 53.62  26.4r 20KT54    266  C~6c5a      
2020 06  25.44823  19 14 19.155  -20 11 04.87  26.7r 20KT54    266  C~6c5a      
2020 06  25.53213  19 14 18.712  -20 11 05.20  26.7r 20KT54    266  C~6c5a      
2020 06  25.61487  19 14 18.276  -20 11 05.52  26.7r 20KT54    266  C~6c5a      
2020 08  13.24332  19 10 12.205  -20 15 08.01  26.6r 20KT54    266  C~6c5a      
2020 08  13.33331  19 10 11.818  -20 15 08.44  26.6r 20KT54    266  C~6c5a      
2020 08  13.42301  19 10 11.432  -20 15 08.85  26.6r 20KT54    266  C~6c5a      

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    -0.09
     2   0.0001     -2.98    -0.05       0.35    -0.09
     3   0.0003     -6.05    -0.05       0.73    -0.09
     4   0.0055   -108.17     0.04      13.12     0.04
     5   0.0057   -113.31     0.05      13.72     0.04
     6   0.0059   -118.32     0.04      14.30     0.04
     7   0.0109   -220.33     0.01      26.00     0.07
     8   0.0110   -222.69     0.01      26.26     0.08
     9   0.0114   -230.45     0.01      27.12     0.07
    10   0.0630  -1450.96    -0.00     139.62     0.00
    11   0.0632  -1456.20     0.01     140.03     0.00
    12   0.0635  -1462.96    -0.00     140.58    -0.00
    13   0.0685  -1593.19    -0.04     150.51    -0.01
    14   0.0686  -1598.41    -0.04     150.90    -0.02
    15   0.0688  -1603.54    -0.04     151.31    -0.01
    16   0.0767  -1810.23     0.03     166.50    -0.02
    17   0.0769  -1816.46     0.03     166.97    -0.01
    18   0.0771  -1822.59     0.03     167.43    -0.02
    19   0.2103  -5290.65    -0.00     356.59     0.01
    20   0.2105  -5296.11     0.00     356.82     0.01
    21   0.2107  -5301.56    -0.00     357.07     0.00

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.

20KT54    quality flag:1

Type:       SCATEXTD  SCATNEAR  SCATNEAR

axisobj        40.204    45.181    37.311
ecceobj         0.089     0.226     0.096
incobj         18.392    17.596    19.282
qmin           36.211    34.133    31.190
qmax           44.929    57.497    44.697
amean          40.423    45.471    37.440
amin           40.096    45.005    36.936
amax           40.769    46.053    38.289
emean           0.090     0.226     0.116
emin            0.079     0.206     0.085
emax            0.102     0.249     0.174
imean          20.072    19.269    20.329
imin           19.379    18.365    13.929
imax           20.732    20.043    23.151
excite_mean     0.355     0.400     0.367
fracstop        1.000     1.000     1.000
cjmean          2.912     2.922     2.877

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       184.0     184.1     182.9
kozaiamp        179.9     180.0     179.9