Orbit Fit and Astrometric record for 12GM12

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: 12GM12    
# Created Sat Dec  4 02:11:28 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     31 observations of     31
# Arc:  13.11y
# First observation: 2002/03/12
#  Last observation: 2015/04/22
# Chi-squared of fit:    34.28 DOF:     56 RMS:  0.19
# Min/Max residuals:    -0.40    0.47
# Exact a, adot, b, bdot, g, gdot:
  2.525510E-05  1.007157E-01 -3.930303E-06 -1.466764E-02  6.175994E-02 -1.470897E-03
# Covariance matrix:
  3.5343E-07  1.0906E-04 -7.8478E-08  2.3187E-05 -5.6118E-06  1.4487E-04
  1.0906E-04  5.6046E-02 -2.4259E-05  1.1902E-02 -1.7332E-03  7.4372E-02
 -7.8478E-08 -2.4259E-05  1.7426E-08 -5.1579E-06  1.2461E-06 -3.2226E-05
  2.3187E-05  1.1902E-02 -5.1579E-06  2.5279E-03 -3.6850E-04  1.5794E-02
 -5.6118E-06 -1.7332E-03  1.2461E-06 -3.6850E-04  8.9105E-05 -2.3024E-03
  1.4487E-04  7.4372E-02 -3.2226E-05  1.5794E-02 -2.3024E-03  9.8692E-02
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.858053  134.910295   -0.595065   -0.136350   -0.784191  2452345.660253
# Heliocentric elements and errors
Epoch:              2452346.5000  =  2002/03/13
Mean Anomaly:            5.38976 +/-     0.002
Argument of Peri:      222.43373 +/-     0.000
Long of Asc Node:      267.39794 +/-     0.000
Inclination:            12.26460 +/-     0.017
Eccentricity:         0.17350324 +/-    0.0000
Semi-Major Axis:     20.52884186 +/-    0.0000
Time of Perihelion: 2451837.8578 +/-       0.2
Perihelion:          16.96702126 +/-    0.0000
Aphelion:            24.09066247 +/-    0.0000
Period (y)               93.0154 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -12.24527137 +/-    0.0000
Ecliptic Y           11.44671586 +/-    0.0000
Ecliptic Z           -2.77220274 +/-    0.0000
Ecliptic XDOT        -0.00304650 +/-    0.0000
Ecliptic YDOT        -0.00327753 +/-    0.0000
Ecliptic ZDOT        -0.00062924 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   16.98996170 +/-    0.0000
Geocenter to KBO     16.19177585 +/-    0.0000
# Hcoef:  9.28

The following table shows the complete astrometric record for 12GM12. 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 (12GM12) followed by the observatory code and reference code for the source of the astrometry.

2002 03  12.159510 08 57 55.54   +06 55 09.5   21.8r 12GM12    645  C~4qH5      
2002 03  12.160339 08 57 55.54   +06 55 09.6   21.6i 12GM12    645  C~4qH5      
2002 03  12.161998 08 57 55.50   +06 55 09.4   21.6z 12GM12    645  C~4qH5      
2002 03  12.162827 08 57 55.49   +06 55 09.7   22.9g 12GM12    645  C~4qH5      
2010 03  12.42680  11 42 21.75   -12 14 40.3         12GM12    F51  C~4qH5      
2010 03  12.43557  11 42 21.68   -12 14 39.4         12GM12    F51  C~4qH5      
2011 03  25.35627  12 00 04.33   -14 03 05.9   21.4r 12GM12    F51  C~4qH5      
2011 03  25.36690  12 00 04.22   -14 03 05.5   21.6r 12GM12    F51  C~4qH5      
2011 03  25.37900  12 00 04.09   -14 03 04.7   21.6i 12GM12    F51  C~4qH5      
2012 03  16.50577  12 21 04.32   -16 03 40.6   21.7r 12GM12    F51  C~4qH5      
2012 03  16.51773  12 21 04.22   -16 03 40.1   21.9i 12GM12    F51  C~4qH5      
2012 03  16.53047  12 21 04.09   -16 03 39.3   21.6i 12GM12    F51  C~4qH5      
2012 04  02.43095  12 18 18.53   -15 46 55.6   21.2i 12GM12    F51  C~4qH5      
2012 04  02.44300  12 18 18.40   -15 46 55.0   21.5i 12GM12    F51  C~4qH5      
2012 04  13.36633  12 16 35.278  -15 34 17.54  21.9w 12GM12    F51  C~0frg      
2012 04  13.37956  12 16 35.163  -15 34 16.98  22.1w 12GM12    F51  C~0frg      
2012 04  13.39281  12 16 35.021  -15 34 16.06  22.2w 12GM12    F51  C~0frg      
2012 04  17.28677  12 16 00.24   -15 29 34.3   21.4R 12GM12    291  C~0frg      
2012 04  17.30458  12 16 00.07   -15 29 32.8   21.2R 12GM12    291  C~0frg      
2012 04  17.32238  12 15 59.94   -15 29 31.7   21.5R 12GM12    291  C~0frg      
2015 04  18.177199 13 14 10.42   -20 18 32.8         12GM12    W84  C~4qH5      
2015 04  18.180428 13 14 10.39   -20 18 32.6         12GM12    W84  C~4qH5      
2015 04  18.183692 13 14 10.35   -20 18 32.3         12GM12    W84  C~4qH5      
2015 04  18.186910 13 14 10.33   -20 18 32.2         12GM12    W84  C~4qH5      
2015 04  18.190162 13 14 10.29   -20 18 31.8         12GM12    W84  C~4qH5      
2015 04  19.166343 13 14 00.85   -20 17 30.0         12GM12    W84  C~4qH5      
2015 04  19.179282 13 14 00.72   -20 17 29.1         12GM12    W84  C~4qH5      
2015 04  21.169479 13 13 41.57   -20 15 21.0         12GM12    W84  C~4qH5      
2015 04  21.182396 13 13 41.43   -20 15 20.0         12GM12    W84  C~4qH5      
2015 04  22.168287 13 13 32.02   -20 14 15.9         12GM12    W84  C~4qH5      
2015 04  22.181262 13 13 31.88   -20 14 14.9         12GM12    W84  C~4qH5      

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     0.12       0.00     0.00
     2   0.0000      0.00     0.21       0.00     0.06
     3   0.0000      0.00    -0.19       0.00    -0.22
     4   0.0000      0.00    -0.24       0.00     0.04
     5   8.0007      0.00     0.12       0.00    -0.40
     6   8.0008      0.00     0.40       0.00     0.00
     7   9.0354      0.00    -0.10       0.00     0.45
     8   9.0355      0.00    -0.15       0.00     0.17
     9   9.0355      0.00    -0.27       0.00     0.21
    10  10.0133      0.00    -0.32       0.00    -0.05
    11  10.0133      0.00    -0.05       0.00    -0.16
    12  10.0133      0.00    -0.11       0.00    -0.02
    13  10.0596      0.00    -0.17       0.00     0.34
    14  10.0596      0.00    -0.33       0.00     0.14
    15  10.0895      0.00     0.15       0.00     0.26
    16  10.0896      0.00     0.27       0.00    -0.13
    17  10.0896      0.00    -0.01       0.00    -0.16
    18  10.1003      0.00     0.20       0.00    -0.17
    19  10.1003      0.00     0.04       0.00     0.03
    20  10.1004      0.00     0.47       0.00    -0.17
    21  13.1007      0.00    -0.10       0.00    -0.05
    22  13.1007      0.00    -0.07       0.00    -0.06
    23  13.1007      0.00    -0.19       0.00     0.04
    24  13.1007      0.00    -0.01       0.00    -0.07
    25  13.1007      0.00    -0.13       0.00     0.13
    26  13.1034      0.00     0.05       0.00    -0.13
    27  13.1034      0.00     0.01       0.00    -0.06
    28  13.1089      0.00     0.19       0.00    -0.12
    29  13.1089      0.00    -0.01       0.00     0.04
    30  13.1116      0.00     0.21       0.00    -0.11
    31  13.1116      0.00     0.00       0.00     0.04

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.

12GM12    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        20.432    20.432    20.432
ecceobj         0.170     0.170     0.170
incobj         12.271    12.271    12.271
qmin           16.966    16.966    16.966
qmax           23.948    23.948    23.948
amean          20.187    20.340    20.482
amin           19.760    20.107    19.996
amax           20.581    20.660    20.901
emean           0.093     0.119     0.089
emin            0.049     0.067     0.034
emax            0.170     0.170     0.170
imean          14.504    14.385    14.696
imin           13.753    13.753    13.753
imax           15.189    14.947    15.312
excite_mean     0.269     0.277     0.271
fracstop        0.009     0.004     0.010
cjmean          3.073     3.063     3.062

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       188.8     237.0     210.8
kozaiamp         50.1      15.1      37.2