Orbit Fit and Astrometric record for 20BF12

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: 20BF12    
# Created Fri Dec  3 02:14:02 2021
# Orbit generated from Bernstein formalism
# Fitting     26 observations of     26
# Arc:   1.20y
# First observation: 2019/12/04
#  Last observation: 2021/02/13
Preliminary a, adot, b, bdot, g, gdot:
  -0.005193   0.493186   0.000118  -0.035310   0.166387   0.000000
# Chi-squared of fit:    62.51 DOF:     46 RMS:  0.27
# Min/Max residuals:    -0.76    0.53
# Exact a, adot, b, bdot, g, gdot:
  4.428734E-05  4.512205E-01 -2.630857E-06 -3.116608E-02  1.622752E-01  1.775019E-02
# Covariance matrix:
  2.4211E-13 -6.9692E-13 -2.1209E-15  6.5367E-14  1.2181E-13 -1.3387E-12
 -6.9692E-13  8.0102E-10  1.2260E-11 -7.9938E-11  1.5696E-10  1.6684E-09
 -2.1209E-15  1.2260E-11  2.7288E-13 -1.3163E-12  2.4140E-12  2.5539E-11
  6.5367E-14 -7.9938E-11 -1.3163E-12  8.2256E-12 -1.5661E-11 -1.6655E-10
  1.2181E-13  1.5696E-10  2.4140E-12 -1.5661E-11  3.1135E-11  3.2690E-10
 -1.3387E-12  1.6684E-09  2.5539E-11 -1.6655E-10  3.2690E-10  3.4761E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.870896  122.293425    0.762018   -0.064886   -0.631284  2458821.990237
# Heliocentric elements and errors
Epoch:              2458820.5000  =  2019/12/03
Mean Anomaly:          352.56855 +/-     0.013
Argument of Peri:      245.49671 +/-     0.030
Long of Asc Node:      246.83939 +/-     0.001
Inclination:             7.00062 +/-     0.000
Eccentricity:         0.34974863 +/-    0.0000
Semi-Major Axis:     10.39220872 +/-    0.0005
Time of Perihelion: 2459073.0988 +/-       0.5
Perihelion:           6.75754799 +/-    0.0005
Aphelion:            14.02686945 +/-    0.0008
Period (y)               33.5019 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -2.96656548 +/-    0.0001
Ecliptic Y            6.11779767 +/-    0.0002
Ecliptic Z           -0.63039123 +/-    0.0000
Ecliptic XDOT        -0.00655731 +/-    0.0000
Ecliptic YDOT        -0.00385914 +/-    0.0000
Ecliptic ZDOT        -0.00055393 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    6.82827593 +/-    0.0002
Geocenter to KBO      6.16237146 +/-    0.0002
# Hcoef: 13.75

The following table shows the complete astrometric record for 20BF12. 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 (20BF12) followed by the observatory code and reference code for the source of the astrometry.

2019 12  04.489436 08 12 47.667  +13 55 27.51  22.1G 20BF12    F51  C~3d4U      
2019 12  04.501757 08 12 47.555  +13 55 27.01  22.3G 20BF12    F51  C~3d4U      
2019 12  04.514120 08 12 47.443  +13 55 26.63  22.5G 20BF12    F51  C~3d4U      
2019 12  04.526357 08 12 47.311  +13 55 26.25  22.5G 20BF12    F51  C~3d4U      
2020 01  17.377041 07 59 21.927  +14 02 08.24  21.8G 20BF12    F51  C~3d4U      
2020 01  21.375985 07 57 46.657  +14 05 20.62  20.1G 20BF12    F52  C~3d4U      
2020 01  22.495535 07 57 19.984  +14 06 17.66  21.9G 20BF12    F52  C~3d4U      
2020 01  22.507479 07 57 19.701  +14 06 18.41  22.1G 20BF12    F52  C~3d4U      
2020 01  25.499858 07 56 08.953  +14 08 56.30  22.0w 20BF12    F51  C~3d4U      
2020 01  25.513295 07 56 08.618  +14 08 56.97  22.0w 20BF12    F51  C~3d4U      
2020 01  25.526676 07 56 08.323  +14 08 57.63  22.0w 20BF12    F51  C~3d4U      
2020 01  26.17511  07 55 53.17   +14 09 32.6   22.3R 20BF12    691  C~3d4U      
2020 01  26.18967  07 55 52.82   +14 09 33.2   21.9R 20BF12    691  C~3d4U      
2020 01  26.20420  07 55 52.49   +14 09 34.0   21.8R 20BF12    691  C~3d4U      
2020 01  28.32402  07 55 03.09   +14 11 30.8   21.4R 20BF12    291  C~3d4U      
2020 01  28.33700  07 55 02.78   +14 11 32.2         20BF12    291  C~3d4U      
2020 01  28.35000  07 55 02.46   +14 11 32.9         20BF12    291  C~3d4U      
2020 01  29.32640  07 54 39.96   +14 12 28.0         20BF12    691  C~3d4U      
2020 01  29.35270  07 54 39.27   +14 12 29.0   21.4R 20BF12    691  C~3d4U      
2020 01  29.37900  07 54 38.70   +14 12 31.0   21.4R 20BF12    691  C~3d4U      
2020 12  09.428020 09 50 37.542  +05 30 02.69  22.3G 20BF12    G37  C~4URS      
2020 12  09.479120 09 50 37.564  +05 29 58.56        20BF12    G37  C~4URS      
2021 02  13.326970 09 35 37.27   +05 53 05.9   21.6G 20BF12    V00  C~4Zgd      
2021 02  13.331749 09 35 37.18   +05 53 07.1   21.1G 20BF12    V00  C~4Zgd      
2021 02  13.336506 09 35 37.08   +05 53 07.3   20.9G 20BF12    V00  C~4Zgd      
2021 02  13.341272 09 35 36.93   +05 53 07.5   21.6G 20BF12    V00  C~4Zgd      

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    -0.07       0.00    -0.08
     2   0.0000     -1.48     0.03      -0.84    -0.14
     3   0.0001     -2.99     0.11      -1.57    -0.07
     4   0.0001     -4.78    -0.10      -2.36    -0.07
     5   0.1202 -11558.76     0.24   -2097.51     0.10
     6   0.1311 -12960.10     0.13   -2192.97    -0.31
     7   0.1342 -13353.26     0.34   -2216.16    -0.13
     8   0.1342 -13357.46     0.41   -2216.26     0.04
     9   0.1424 -14402.04     0.05   -2270.39     0.20
    10   0.1424 -14406.97    -0.12   -2270.72     0.12
    11   0.1425 -14411.33     0.27   -2270.94     0.15
    12   0.1442 -14635.37    -0.53   -2281.22     0.08
    13   0.1443 -14640.50    -0.52   -2281.66    -0.13
    14   0.1443 -14645.39    -0.28   -2281.85    -0.09
    15   0.1501 -15376.55     0.44   -2312.21    -0.37
    16   0.1502 -15381.28     0.27   -2311.74     0.29
    17   0.1502 -15386.00     0.10   -2311.99     0.23
    18   0.1529 -15719.51     0.18   -2323.74     0.33
    19   0.1529 -15729.60    -0.76   -2324.77    -0.35
    20   0.1530 -15738.17    -0.19   -2324.47     0.32
    21   1.0156  98156.19     0.33   -7251.85    -0.19
    22   1.0157  98158.08    -0.39   -7256.14    -0.24
    23   1.1960  82350.29    -0.01   -9862.65    -0.27
    24   1.1960  82348.40     0.07   -9861.80     0.53
    25   1.1960  82346.67     0.30   -9862.03     0.26
    26   1.1960  82344.12    -0.29   -9862.48    -0.24

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.

20BF12    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        10.436    10.455    10.417
ecceobj         0.352     0.351     0.352
incobj          6.999     6.999     6.999
qmin            6.767     6.417     6.750
qmax           14.105    14.128    14.083
amean          10.436    10.207    10.405
amin           10.436     9.958    10.393
amax           10.436    10.455    10.417
emean           0.352     0.353     0.349
emin            0.352     0.351     0.347
emax            0.352     0.356     0.352
imean           8.261     9.034     8.803
imin            8.261     8.262     8.261
imax            8.261     9.807     9.345
excite_mean     0.380     0.387     0.381
fracstop        0.000     0.000     0.000
cjmean          3.976     4.024     3.979

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       244.9     249.1     257.4
kozaiamp          0.0       4.1      12.6