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 Wed Jul 17 01:11:42 2024
# Orbit generated from Bernstein formalism
# Fitting     32 observations of     32
# Arc:   4.42y
# First observation: 2019/12/04
#  Last observation: 2024/05/04
Preliminary a, adot, b, bdot, g, gdot:
  -0.318795   1.931504   0.054988  -0.144694   0.553985   0.000000
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# Chi-squared of fit:  9999.99 DOF:     59 RMS: 99.99
# Min/Max residuals: -9999.99 9999.99
# Exact a, adot, b, bdot, g, gdot:
 -9.825853E-01  1.945725E+00  4.793376E-02 -1.468113E-01 -1.595391E-01  1.289767E-01
# Covariance matrix:
  3.2448E-13 -3.1359E-13  2.3955E-15  2.1026E-14  2.5678E-13 -8.7451E-14
 -3.1359E-13  4.5121E-13  1.3087E-15 -3.1520E-14 -2.4815E-13  1.0223E-13
  2.3955E-15  1.3087E-15  7.5446E-14 -2.4315E-14  4.6940E-15 -8.0950E-16
  2.1026E-14 -3.1520E-14 -2.4315E-14  2.5659E-14  1.7794E-14 -7.4311E-15
  2.5678E-13 -2.4815E-13  4.6940E-15  1.7794E-14  2.9177E-13 -8.9717E-14
 -8.7451E-14  1.0223E-13 -8.0950E-16 -7.4311E-15 -8.9717E-14  3.0689E-14
#      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:          354.10142 +/-     0.009
Argument of Peri:       58.64970 +/-     0.000
Long of Asc Node:      241.68016 +/-     0.000
Inclination:             8.59142 +/-     0.000
Eccentricity:        22.05653182 +/-    0.0002
Semi-Major Axis:     -0.28155690 +/-    0.0000
Time of Perihelion: 2460508.0081 +/-       2.6
Perihelion:           5.92861188 +/-    0.0001
Aphelion:            -6.49172568 +/-    0.0001
Period (y)              281.9752 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -1.54998758 +/-    0.0000
Ecliptic Y           -7.65107144 +/-    0.0000
Ecliptic Z            0.34222346 +/-    0.0000
Ecliptic XDOT         0.02927288 +/-    0.0000
Ecliptic YDOT         0.01619745 +/-    0.0000
Ecliptic ZDOT         0.00273238 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    7.81399210 +/-    0.0000
Geocenter to KBO      8.79265687 +/-    0.0000
# Hcoef:   NaN

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      
2022 03  02.260390 11 08 08.361  -03 05 06.57  22.1G 20BF12    G37  C~5SJB      
2022 03  02.316950 11 08 07.166  -03 04 58.77        20BF12    G37  C~5SJB      
2022 03  02.369550 11 08 06.067  -03 04 52.27        20BF12    G37  C~5SJB      
2024 05  04.269970 13 30 06.733  -14 43 39.43  22.8G 20BF12    G37  C~82nf      
2024 05  04.304010 13 30 06.140  -14 43 35.10        20BF12    G37  C~82nf      
2024 05  04.336050 13 30 05.563  -14 43 30.84        20BF12    G37  C~82nf      

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      0.00202732.21       0.00 -9891.44
     2   0.0000     -1.48202706.32      -0.84 -9891.52
     3   0.0001     -2.99202680.32      -1.57 -9891.48
     4   0.0001     -4.78202654.30      -2.36 -9891.52
     5   0.1202 -11558.76112315.50   -2097.51 -9040.13
     6   0.1311 -12960.10104418.33   -2192.97 -8828.21
     7   0.1342 -13353.26102223.71   -2216.16 -8763.86
     8   0.1342 -13357.46102200.28   -2216.26 -8763.05
     9   0.1424 -14402.04 96380.43   -2270.39 -8578.77
    10   0.1424 -14406.97 96354.12   -2270.72 -8578.05
    11   0.1425 -14411.33 96328.48   -2270.94 -8577.22
    12   0.1442 -14635.37 95078.77   -2281.22 -8535.06
    13   0.1443 -14640.50 95050.49   -2281.66 -8534.32
    14   0.1443 -14645.39 95022.50   -2281.85 -8533.33
    15   0.1501 -15376.55 90949.98   -2312.21 -8390.57
    16   0.1502 -15381.28 90924.80   -2311.74 -8389.06
    17   0.1502 -15386.00 90899.60   -2311.99 -8388.27
    18   0.1529 -15719.51 89036.68   -2323.74 -8319.14
    19   0.1529 -15729.60 88985.32   -2324.77 -8318.05
    20   0.1530 -15738.17 88935.51   -2324.47 -8315.62
    21   1.0156  98156.19-97256.44   -7251.85 11685.50
    22   1.0157  98158.08-97308.48   -7256.14 11681.24
    23   1.1960  82350.29*********   -9862.65 12603.13
    24   1.1960  82348.40*********   -9861.80 12604.51
    25   1.1960  82346.67*********   -9862.03 12604.81
    26   1.1960  82344.12*********   -9862.48 12604.89
    27   2.2417 217700.59*********  -20642.46 31131.99
    28   2.2418 217659.37*********  -20638.01 31147.17
    29   2.2420 217621.92*********  -20634.87 31160.32
    30   4.41561814388.99  4582.83 -136828.64    19.48
    31   4.41561813646.06  3612.14 -136757.07   110.58
    32   4.41571812922.74  2674.55 -136687.02   199.03

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        10.438    10.438    10.438
ecceobj         0.352     0.352     0.352
incobj          6.999     6.999     6.999
qmin            6.767     6.767     6.767
qmax           14.110    14.110    14.110
amean          10.438    10.438    10.438
amin           10.438    10.438    10.438
amax           10.438    10.438    10.438
emean           0.352     0.352     0.352
emin            0.352     0.352     0.352
emax            0.352     0.352     0.352
imean           8.261     8.261     8.261
imin            8.261     8.261     8.261
imax            8.261     8.261     8.261
excite_mean     0.380     0.380     0.380
fracstop        0.000     0.000     0.000
cjmean          3.976     3.976     3.976

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     244.9     244.9
kozaiamp          0.0       0.0       0.0