Orbit Fit and Astrometric record for 20FB31

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: 20FB31    
# Created Fri Nov 22 02:11:04 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     11 observations of     11
# Arc:   9.93y
# First observation: 2012/03/27
#  Last observation: 2022/03/02
# Chi-squared of fit:     6.89 DOF:     16 RMS:  0.14
# Min/Max residuals:    -0.26    0.27
# Exact a, adot, b, bdot, g, gdot:
  8.941342E-06  7.417421E-03 -1.198639E-06 -9.756418E-04  1.311607E-02 -1.677885E-03
# Covariance matrix:
  4.8926E-13 -1.0334E-13 -1.0504E-15  6.3521E-15 -7.3992E-14 -7.0671E-13
 -1.0334E-13  3.4380E-13  1.1232E-14 -4.3574E-14  7.9646E-13  4.9662E-12
 -1.0504E-15  1.1232E-14  4.8030E-13 -5.5849E-14  3.7307E-14  1.7095E-13
  6.3521E-15 -4.3574E-14 -5.5849E-14  1.4133E-14 -1.0367E-13 -6.4540E-13
 -7.3992E-14  7.9646E-13  3.7307E-14 -1.0367E-13  2.6543E-12  1.2126E-11
 -7.0671E-13  4.9662E-12  1.7095E-13 -6.4540E-13  1.2126E-11  7.3690E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   14.750010  159.688375   -0.459854    0.226380   -0.859884  2456013.905884
# Heliocentric elements and errors
Epoch:              2456014.5000  =  2012/03/28
Mean Anomaly:          221.81910 +/-     0.153
Argument of Peri:      276.65148 +/-     0.111
Long of Asc Node:       41.89934 +/-     0.002
Inclination:            16.43687 +/-     0.000
Eccentricity:         0.38887883 +/-    0.0002
Semi-Major Axis:     57.75225700 +/-    0.0266
Time of Perihelion: 2517545.9819 +/-      96.6
Perihelion:          35.29362684 +/-    0.0197
Aphelion:            80.21088716 +/-    0.0386
Period (y)              438.8960 +/-      0.30
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -70.13612892 +/-    0.0086
Ecliptic Y           25.47200239 +/-    0.0032
Ecliptic Z           19.41138488 +/-    0.0024
Ecliptic XDOT        -0.00027332 +/-    0.0000
Ecliptic YDOT        -0.00154776 +/-    0.0000
Ecliptic ZDOT        -0.00028602 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   77.10203652 +/-    0.0079
Geocenter to KBO     76.24252059 +/-    0.0095
# Hcoef:  5.48

The following table shows the complete astrometric record for 20FB31. 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 (20FB31) followed by the observatory code and reference code for the source of the astrometry.

2012 03  27.405118 11 08 38.40   +21 32 17.5         20FB31    568  C~5Xxi      
2012 03  27.418854 11 08 38.35   +21 32 17.8         20FB31    568  C~5Xxi      
2012 03  27.437150 11 08 38.33   +21 32 17.7         20FB31    568  C~5Xxi      
2020 03  24.33174  11 21 27.133  +19 41 56.81  24.2r 20FB31    568  C~4ZhQ      
2020 03  24.50453  11 21 26.640  +19 41 59.01  24.3r 20FB31    568  C~4ZhQ      
2020 06  11.16719  11 19 31.760  +19 40 07.85  24.5r 20FB31    G37  C~4ZhQ      
2020 06  11.22079  11 19 31.780  +19 40 07.01  24.3r 20FB31    G37  C~4ZhQ      
2021 02  07.24673  11 25 05.164  +19 14 53.11  24.3r 20FB31    304  C~4ZhQ      
2021 02  08.20450  11 25 02.878  +19 15 12.35  24.2r 20FB31    304  C~4ZhQ      
2022 03  02.266930 11 25 40.265  +19 07 50.21  23.6G 20FB31    G37  C~5SJL      
2022 03  02.323170 11 25 40.098  +19 07 50.88        20FB31    G37  C~5SJL      

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   0.0000      0.00    -0.19       0.00     0.17
     3   0.0001      0.00     0.24       0.00    -0.11
     4   7.9916      0.00     0.05       0.00    -0.26
     5   7.9921      0.00    -0.12       0.00    -0.15
     6   8.2074      0.00    -0.07       0.00     0.01
     7   8.2076      0.00    -0.00       0.00    -0.03
     8   8.8675      0.00     0.06       0.00    -0.05
     9   8.8701      0.00    -0.13       0.00     0.18
    10   9.9298      0.00     0.17       0.00     0.27
    11   9.9300      0.00     0.07       0.00    -0.07

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.

20FB31    quality flag:3

Type:       8:3EEEEE  8:3EEEEE  8:3EEEEE

axisobj        57.663    57.663    57.663
ecceobj         0.391     0.391     0.391
incobj         16.445    16.445    16.445
qmin           34.490    34.514    34.456
qmax           82.711    82.645    82.861
amean          57.901    57.901    57.901
amin           57.054    57.116    57.112
amax           58.919    58.940    58.966
emean           0.392     0.392     0.392
emin            0.379     0.379     0.379
emax            0.405     0.404     0.406
imean          15.482    15.475    15.492
imin           15.027    15.062    15.002
imax           15.875    15.875    15.875
excite_mean     0.474     0.474     0.474
fracstop        1.000     1.000     1.000
cjmean          2.979     2.979     2.979

libcent 0       178.6     180.3     178.8
libamp  0       134.5     136.2     134.4
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       197.8     199.5     196.6
kozaiamp        180.0     180.0     180.0