Orbit Fit and Astrometric record for 12HX87

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: 12HX87    
# Created Mon Dec  6 02:11:23 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     78 observations of     78
# Arc:   9.12y
# First observation: 2011/04/02
#  Last observation: 2020/05/15
# Chi-squared of fit:    85.02 DOF:    150 RMS:  0.18
# Min/Max residuals:    -0.75    0.67
# Exact a, adot, b, bdot, g, gdot:
  2.277585E-05  3.996245E-02  4.217279E-06  3.845452E-03  2.935242E-02  2.943721E-03
# Covariance matrix:
  2.0614E-13 -7.6435E-14  8.6750E-15 -5.6373E-15 -1.3642E-16 -1.7044E-13
 -7.6435E-14  4.1824E-14 -6.0498E-15  3.7690E-15  1.3617E-14  1.1518E-13
  8.6750E-15 -6.0498E-15  1.2020E-13 -2.1948E-14 -3.2108E-15 -1.8700E-14
 -5.6373E-15  3.7690E-15 -2.1948E-14  4.9517E-15  1.1452E-15  1.1654E-14
 -1.3642E-16  1.3617E-14 -3.2108E-15  1.1452E-15  7.8427E-14  4.1754E-14
 -1.7044E-13  1.1518E-13 -1.8700E-14  1.1654E-14  4.1754E-14  3.5613E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.845891 -152.587041    0.264038   -0.198774   -0.947490  2455653.968486
# Heliocentric elements and errors
Epoch:              2455654.5000  =  2011/04/03
Mean Anomaly:            1.43430 +/-     0.000
Argument of Peri:      285.24453 +/-     0.002
Long of Asc Node:      271.69935 +/-     0.000
Inclination:            12.70343 +/-     0.000
Eccentricity:         0.66460059 +/-    0.0000
Semi-Major Axis:    103.82556146 +/-    0.0153
Time of Perihelion: 2454114.9582 +/-       0.6
Perihelion:          34.82303199 +/-    0.0070
Aphelion:           172.82809093 +/-    0.0258
Period (y)             1057.9488 +/-      0.23
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -30.57569727 +/-    0.0003
Ecliptic Y          -15.56341034 +/-    0.0001
Ecliptic Z           -6.99346452 +/-    0.0001
Ecliptic XDOT         0.00141059 +/-    0.0000
Ecliptic YDOT        -0.00346059 +/-    0.0000
Ecliptic ZDOT         0.00029471 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.01425643 +/-    0.0003
Geocenter to KBO     34.06871073 +/-    0.0003
# Hcoef:  6.66

The following table shows the complete astrometric record for 12HX87. 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 (12HX87) followed by the observatory code and reference code for the source of the astrometry.

2011 04  02.46772  13 23 35.902  -21 33 58.62  21.3G 12HX87    F51  C~345u      
2011 04  03.41092  13 23 30.979  -21 33 33.63  21.6G 12HX87    F51  C~345u      
2011 04  03.42216  13 23 30.915  -21 33 33.15  21.5G 12HX87    F51  C~345u      
2011 06  28.26693  13 18 13.036  -20 46 14.96  21.9G 12HX87    F51  C~345u      
2012 01  26.67091  13 36 17.651  -22 15 13.98  22.2G 12HX87    F51  C~345u      
2012 03  15.51762  13 34 27.771  -22 18 15.62  21.4G 12HX87    F51  C~345u      
2012 04  24.36099  13 31 03.468  -22 01 31.94  21.7G 12HX87    F51  C~345u      
2012 04  24.37576  13 31 03.385  -22 01 31.44  21.6G 12HX87    F51  C~345u      
2012 04  24.39054  13 31 03.306  -22 01 30.88  21.7G 12HX87    F51  C~345u      
2012 04  24.40535  13 31 03.227  -22 01 30.35  21.9G 12HX87    F51  C~345u      
2012 05  10.31233  13 29 43.499  -21 52 06.83  20.7G 12HX87    F51  C~345u      
2014 04  10.40089  13 51 21.185  -23 19 57.99  22.0G 12HX87    F51  C~345u      
2014 04  10.41282  13 51 21.129  -23 19 57.77  22.1G 12HX87    F51  C~345u      
2014 04  10.42472  13 51 21.052  -23 19 57.60  22.1G 12HX87    F51  C~345u      
2014 04  10.43663  13 51 20.974  -23 19 57.05  22.8G 12HX87    F51  C~345u      
2014 04  30.36318  13 49 33.966  -23 10 08.74  21.8G 12HX87    F51  C~345u      
2014 04  30.37399  13 49 33.909  -23 10 08.27  21.9G 12HX87    F51  C~345u      
2014 04  30.38480  13 49 33.853  -23 10 08.06  21.8G 12HX87    F51  C~345u      
2014 04  30.39557  13 49 33.823  -23 10 08.06  21.8G 12HX87    F51  C~345u      
2014 06  01.37505  13 47 06.916  -22 51 36.48  21.8G 12HX87    F51  C~345u      
2015 02  01.60157  14 04 10.867  -23 55 10.23  22.5G 12HX87    F51  C~345u      
2015 04  23.44040  13 59 42.908  -23 46 08.15  22.0G 12HX87    F51  C~345u      
2015 04  23.45197  13 59 42.847  -23 46 07.96  21.6G 12HX87    F51  C~345u      
2015 04  23.46349  13 59 42.776  -23 46 07.71  21.7G 12HX87    F51  C~345u      
2015 04  23.47503  13 59 42.716  -23 46 07.27  21.4G 12HX87    F51  C~345u      
2015 05  21.32194  13 57 20.171  -23 30 55.20  22.1G 12HX87    F51  C~345u      
2015 05  21.33405  13 57 20.114  -23 30 54.75  21.9G 12HX87    F51  C~345u      
2015 05  21.34624  13 57 20.064  -23 30 54.30  22.0G 12HX87    F51  C~345u      
2015 05  21.35837  13 57 20.003  -23 30 53.89  21.8G 12HX87    F51  C~345u      
2016 02  14.63545  14 13 26.833  -24 26 35.82  21.6G 12HX87    F51  C~345u      
2016 02  14.64694  14 13 26.825  -24 26 35.96  22.1G 12HX87    F51  C~345u      
2016 03  05.64764  14 12 50.032  -24 28 26.08  22.5G 12HX87    F51  C~345u      
2016 03  07.54520  14 12 44.442  -24 28 23.21  22.1G 12HX87    F51  C~345u      
2016 03  07.55550  14 12 44.414  -24 28 23.27  21.9G 12HX87    F51  C~345u      
2016 03  07.56581  14 12 44.377  -24 28 23.25  21.9G 12HX87    F51  C~345u      
2016 03  07.57615  14 12 44.348  -24 28 23.09  21.9G 12HX87    F51  C~345u      
2016 03  10.53724  14 12 34.880  -24 28 13.03  22.3G 12HX87    F51  C~345u      
2016 03  10.54917  14 12 34.845  -24 28 12.97  22.7G 12HX87    F51  C~345u      
2016 03  10.56111  14 12 34.797  -24 28 12.97  22.0G 12HX87    F51  C~345u      
2016 03  10.57304  14 12 34.774  -24 28 12.95  22.4G 12HX87    F51  C~345u      
2016 04  11.44951  14 10 12.852  -24 20 40.80  22.0G 12HX87    F51  C~345u      
2016 04  11.46049  14 10 12.791  -24 20 40.30  22.3G 12HX87    F51  C~345u      
2016 04  11.47146  14 10 12.711  -24 20 40.11  22.1G 12HX87    F51  C~345u      
2016 04  11.48243  14 10 12.662  -24 20 39.56  22.0G 12HX87    F51  C~345u      
2016 05  02.39951  14 08 20.053  -24 11 08.45  21.7G 12HX87    F51  C~345u      
2016 05  02.42274  14 08 19.962  -24 11 07.66  22.3G 12HX87    F51  C~345u      
2016 05  02.43438  14 08 19.905  -24 11 07.12  22.0G 12HX87    F51  C~345u      
2016 06  11.27196  14 05 21.009  -23 49 11.05  22.0G 12HX87    F51  C~345u      
2016 06  11.28228  14 05 20.970  -23 49 10.82  22.4G 12HX87    F51  C~345u      
2016 06  11.29269  14 05 20.931  -23 49 10.31  21.1G 12HX87    F51  C~345u      
2016 06  11.30349  14 05 20.928  -23 49 09.98  22.6G 12HX87    F51  C~345u      
2017 03  29.48847  14 20 45.000  -24 51 39.27  22.0G 12HX87    F51  C~345u      
2017 03  29.49941  14 20 44.940  -24 51 39.01  22.1G 12HX87    F51  C~345u      
2017 03  29.51042  14 20 44.899  -24 51 38.75  21.4G 12HX87    F51  C~345u      
2017 03  29.52140  14 20 44.830  -24 51 39.08  22.0G 12HX87    F51  C~345u      
2017 05  04.39497  14 17 38.304  -24 37 47.97  21.4G 12HX87    F51  C~345u      
2017 05  04.40596  14 17 38.225  -24 37 47.73  21.9G 12HX87    F51  C~345u      
2017 05  04.41693  14 17 38.160  -24 37 47.10  22.2G 12HX87    F51  C~345u      
2017 05  04.42789  14 17 38.083  -24 37 46.84  23.3G 12HX87    F51  C~345u      
2017 05  18.31865  14 16 25.898  -24 30 30.17  21.8G 12HX87    F51  C~345u      
2017 05  18.33039  14 16 25.826  -24 30 29.67  22.0G 12HX87    F51  C~345u      
2017 05  18.34213  14 16 25.764  -24 30 29.52  22.5G 12HX87    F51  C~345u      
2017 05  18.35385  14 16 25.697  -24 30 29.04  22.1G 12HX87    F51  C~345u      
2017 05  21.35274  14 16 11.050  -24 28 50.97  22.1G 12HX87    F51  C~345u      
2017 05  21.36285  14 16 10.994  -24 28 50.69  22.1G 12HX87    F51  C~345u      
2017 05  21.37297  14 16 10.950  -24 28 50.45  22.6G 12HX87    F51  C~345u      
2017 05  21.38308  14 16 10.900  -24 28 49.88  22.1G 12HX87    F51  C~345u      
2018 02  11.61936  14 31 57.064  -25 15 04.05  22.8G 12HX87    F51  C~345u      
2018 02  12.62029  14 31 57.103  -25 15 18.79  22.4G 12HX87    F51  C~345u      
2018 02  12.63129  14 31 57.109  -25 15 18.93  22.2G 12HX87    F51  C~345u      
2018 02  12.64230  14 31 57.098  -25 15 19.14  22.1G 12HX87    F51  C~345u      
2018 02  12.65332  14 31 57.071  -25 15 19.37  22.0G 12HX87    F51  C~345u      
2018 02  13.65256  14 31 57.051  -25 15 33.44  21.9G 12HX87    F51  C~345u      
2018 02  13.66014  14 31 57.016  -25 15 33.41  21.9G 12HX87    F51  C~345u      
2018 05  20.45199  14 25 40.087  -24 54 53.96  22.7G 12HX87    F51  C~345u      
2020 05  15.36827  14 44 39.223  -25 40 32.22  22.1w 12HX87    F51  C~3srH      
2020 05  15.37871  14 44 39.155  -25 40 31.89  21.9w 12HX87    F51  C~3srH      
2020 05  15.38908  14 44 39.129  -25 40 31.79  22.1w 12HX87    F51  C~3srH      

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    -0.44       0.00    -0.31
     2   0.0026      0.00     0.04       0.00    -0.04
     3   0.0026      0.00    -0.01       0.00     0.14
     4   0.2376      0.00     0.33       0.00     0.34
     5   0.8192      0.00    -0.10       0.00     0.13
     6   0.9529      0.00     0.67       0.00    -0.75
     7   1.0620      0.00     0.00       0.00    -0.07
     8   1.0620      0.00    -0.05       0.00    -0.06
     9   1.0621      0.00    -0.04       0.00    -0.00
    10   1.0621      0.00    -0.03       0.00     0.03
    11   1.1057      0.00     0.03       0.00     0.27
    12   3.0224      0.00    -0.09       0.00     0.05
    13   3.0224      0.00     0.03       0.00    -0.04
    14   3.0225      0.00    -0.16       0.00    -0.17
    15   3.0225      0.00    -0.36       0.00     0.08
    16   3.0771      0.00    -0.15       0.00     0.11
    17   3.0771      0.00    -0.13       0.00     0.23
    18   3.0771      0.00    -0.10       0.00     0.08
    19   3.0771      0.00     0.32       0.00    -0.27
    20   3.1647      0.00    -0.02       0.00     0.16
    21   3.8361      0.00     0.11       0.00     0.11
    22   4.0574      0.00     0.04       0.00     0.15
    23   4.0575      0.00     0.09       0.00    -0.00
    24   4.0575      0.00    -0.02       0.00    -0.09
    25   4.0575      0.00     0.04       0.00     0.01
    26   4.1338      0.00    -0.03       0.00    -0.00
    27   4.1338      0.00    -0.04       0.00     0.03
    28   4.1338      0.00     0.06       0.00     0.06
    29   4.1339      0.00    -0.01       0.00     0.05
    30   4.8711      0.00     0.06       0.00     0.06
    31   4.8711      0.00     0.09       0.00     0.05
    32   4.9259      0.00    -0.43       0.00     0.41
    33   4.9311      0.00     0.00       0.00    -0.03
    34   4.9311      0.00     0.07       0.00    -0.12
    35   4.9311      0.00     0.01       0.00    -0.12
    36   4.9312      0.00     0.06       0.00     0.01
    37   4.9393      0.00    -0.04       0.00     0.04
    38   4.9393      0.00     0.05       0.00     0.05
    39   4.9393      0.00    -0.06       0.00    -0.00
    40   4.9394      0.00     0.21       0.00    -0.04
    41   5.0266      0.00     0.17       0.00    -0.09
    42   5.0267      0.00     0.13       0.00     0.16
    43   5.0267      0.00    -0.18       0.00     0.10
    44   5.0267      0.00    -0.04       0.00     0.39
    45   5.0840      0.00    -0.46       0.00    -0.42
    46   5.0841      0.00     0.08       0.00    -0.35
    47   5.0841      0.00     0.18       0.00    -0.17
    48   5.1932      0.00    -0.14       0.00     0.03
    49   5.1932      0.00    -0.22       0.00    -0.07
    50   5.1932      0.00    -0.30       0.00     0.10
    51   5.1933      0.00     0.18       0.00     0.09
    52   5.9905      0.00     0.01       0.00    -0.06
    53   5.9905      0.00    -0.13       0.00     0.04
    54   5.9905      0.00     0.03       0.00     0.14
    55   5.9906      0.00    -0.24       0.00    -0.35
    56   6.0888      0.00     0.51       0.00    -0.07
    57   6.0888      0.00     0.23       0.00    -0.16
    58   6.0888      0.00     0.16       0.00     0.14
    59   6.0889      0.00    -0.09       0.00     0.07
    60   6.1269      0.00     0.20       0.00    -0.06
    61   6.1269      0.00     0.01       0.00     0.06
    62   6.1270      0.00    -0.02       0.00    -0.17
    63   6.1270      0.00    -0.14       0.00    -0.07
    64   6.1352      0.00     0.03       0.00    -0.01
    65   6.1352      0.00    -0.06       0.00    -0.07
    66   6.1353      0.00     0.03       0.00    -0.16
    67   6.1353      0.00     0.02       0.00     0.08
    68   6.8642      0.00     0.02       0.00     0.10
    69   6.8669      0.00    -0.07       0.00     0.08
    70   6.8670      0.00     0.04       0.00     0.10
    71   6.8670      0.00    -0.11       0.00     0.04
    72   6.8670      0.00    -0.49       0.00    -0.03
    73   6.8698      0.00     0.38       0.00    -0.01
    74   6.8698      0.00    -0.12       0.00     0.12
    75   7.1321      0.00     0.19       0.00     0.25
    76   9.1195      0.00    -0.08       0.00    -0.03
    77   9.1195      0.00    -0.25       0.00     0.01
    78   9.1196      0.00     0.20       0.00    -0.19

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.

12HX87    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj       103.268   103.267   103.269
ecceobj         0.663     0.663     0.663
incobj         12.702    12.702    12.702
qmin           33.606    33.613    33.636
qmax          182.202   181.792   181.963
amean         104.869   104.868   104.862
amin          102.752   102.743   102.683
amax          108.357   108.184   108.368
emean           0.669     0.669     0.669
emin            0.659     0.659     0.659
emax            0.682     0.680     0.680
imean          13.750    13.751    13.777
imin           13.164    13.159    13.273
imax           14.311    14.311    14.311
excite_mean     0.710     0.710     0.710
fracstop        1.000     1.000     1.000
cjmean          2.981     2.981     2.981

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       321.2     320.4     289.5
kozaiamp         36.4      35.9     180.0