Orbit Fit and Astrometric record for 20LB21

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: 20LB21    
# Created Tue Apr  1 01:11:20 2025
# Orbit generated from Bernstein formalism
# Fitting      9 observations of      9
# Arc:  72.99d
# First observation: 2020/06/01
#  Last observation: 2020/08/13
Preliminary a, adot, b, bdot, g, gdot:
  -0.000001   0.013223   0.000002  -0.001812   0.021983   0.000000
# Chi-squared of fit:     0.00 DOF:     12 RMS:  0.00
# Min/Max residuals:    -0.01    0.01
# Exact a, adot, b, bdot, g, gdot:
  1.141384E-05  1.619460E-02 -1.288043E-06 -1.804968E-03  2.242958E-02 -1.336629E-02
# Covariance matrix:
  7.3235E-13  3.5007E-10 -1.8816E-13 -3.8016E-13  6.5765E-11  1.2689E-09
  3.5007E-10  5.1232E-07 -2.7274E-10 -3.7693E-10  9.3624E-08  1.3469E-06
 -1.8816E-13 -2.7274E-10  4.9068E-13 -1.8784E-12 -4.9851E-11 -7.1866E-10
 -3.8016E-13 -3.7693E-10 -1.8784E-12  2.3994E-11 -7.0062E-11 -1.2778E-09
  6.5765E-11  9.3624E-08 -4.9851E-11 -7.0062E-11  1.7124E-08  2.4948E-07
  1.2689E-09  1.3469E-06 -7.1866E-10 -1.2778E-09  2.4948E-07  4.3540E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.476714  -72.462014    0.604894    0.034778   -0.807036  2459001.933491
# Heliocentric elements and errors
Epoch:              2459000.5000  =  2020/05/31
Mean Anomaly:          308.71928 +/-     9.184
Argument of Peri:      287.72389 +/-     1.994
Long of Asc Node:      127.46676 +/-     0.880
Inclination:             6.85512 +/-     0.278
Eccentricity:         0.64305020 +/-    0.0753
Semi-Major Axis:     46.39230372 +/-    4.8263
Time of Perihelion: 2475441.1485 +/-    1444.7
Perihelion:          16.55972364 +/-    3.8960
Aphelion:            76.22488379 +/-    8.6656
Period (y)              315.9927 +/-     49.31
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           13.09447731 +/-    0.0783
Ecliptic Y          -43.43127732 +/-    0.2478
Ecliptic Z            1.92663662 +/-    0.0113
Ecliptic XDOT         0.00140469 +/-    0.0001
Ecliptic YDOT         0.00214444 +/-    0.0002
Ecliptic ZDOT        -0.00029085 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.40322801 +/-    0.2381
Geocenter to KBO     44.58398363 +/-    0.2601
# Hcoef:  9.77

The following table shows the complete astrometric record for 20LB21. 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 (20LB21) followed by the observatory code and reference code for the source of the astrometry.

2020 06  01.43269  19 14 39.686  -19 50 00.09  25.9r 20LB21    266  C~6c5e      
2020 06  01.47325  19 14 39.530  -19 50 00.34  25.9r 20LB21    266  C~6c5e      
2020 06  01.60571  19 14 39.019  -19 50 01.11  25.9r 20LB21    266  C~6c5e      
2020 06  25.44823  19 12 55.799  -19 52 56.36  26.7r 20LB21    266  C~6c5e      
2020 06  25.53213  19 12 55.394  -19 52 57.08  26.7r 20LB21    266  C~6c5e      
2020 06  25.61487  19 12 54.996  -19 52 57.78  26.7r 20LB21    266  C~6c5e      
2020 08  13.24332  19 09 09.985  -20 00 46.61  26.2r 20LB21    266  C~6c5e      
2020 08  13.33331  19 09 09.629  -20 00 47.48  26.2r 20LB21    266  C~6c5e      
2020 08  13.42301  19 09 09.273  -20 00 48.32  26.2r 20LB21    266  C~6c5e      

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     0.00       0.00     0.00
     2   0.0001     -2.22    -0.00       0.03    -0.00
     3   0.0005     -9.46     0.00       0.19    -0.00
     4   0.0658  -1476.20     0.00      10.03     0.00
     5   0.0660  -1481.96    -0.00      10.03     0.00
     6   0.0662  -1487.61    -0.00      10.04    -0.00
     7   0.1993  -4694.57    -0.00     -67.95     0.00
     8   0.1996  -4699.65     0.01     -68.21    -0.00
     9   0.1998  -4704.74    -0.01     -68.45     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.

20LB21    quality flag:0

Type:      ERR2LARGE ERR2LARGE ERR2LARGE

axisobj         0.000     0.000     0.000
ecceobj        -1.000    -1.000    -1.000
incobj         -1.000    -1.000    -1.000
qmin            0.000     0.000     0.000
qmax            0.000     0.000     0.000
amean           0.000     0.000     0.000
amin            0.000     0.000     0.000
amax            0.000     0.000     0.000
emean           0.000     0.000     0.000
emin            0.000     0.000     0.000
emax            0.000     0.000     0.000
imean           0.000     0.000     0.000
imin            0.000     0.000     0.000
imax            0.000     0.000     0.000
excite_mean     0.000     0.000     0.000
fracstop        0.000     0.000     0.000
cjmean          0.000     0.000     0.000

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         0.0       0.0       0.0
kozaiamp          0.0       0.0       0.0