Orbit Fit and Astrometric record for 12HK85

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: 12HK85    
# Created Wed Feb 20 02:09:45 2019
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   68 observations of   68
# Arc:  18.26y
# First observation: 2000/02/12
#  Last observation: 2018/05/19
# Chi-squared of fit:    56.48 DOF:  130 RMS:  0.16
# Min/Max residuals:    -0.67    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.634984E-05  2.480697E-02 -6.695073E-08 -1.019405E-03  2.362633E-02 -5.334122E-03
# Covariance matrix:
  7.2456E-13 -9.1118E-14 -9.1790E-15  2.3910E-15 -4.1590E-14 -9.9174E-14
 -9.1118E-14  2.0772E-14  2.9246E-15 -7.6586E-16  2.5140E-14  3.1479E-14
 -9.1790E-15  2.9246E-15  5.1089E-13 -3.3286E-14  3.9181E-15  4.9646E-15
  2.3910E-15 -7.6586E-16 -3.3286E-14  2.2557E-15 -1.0402E-15 -1.2998E-15
 -4.1590E-14  2.5140E-14  3.9181E-15 -1.0402E-15  7.5391E-14  4.1753E-14
 -9.9174E-14  3.1479E-14  4.9646E-15 -1.2998E-15  4.1753E-14  5.3446E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
    4.291668 -164.551251    0.780891    0.045406   -0.608158  2451586.969873
# Heliocentric elements and errors
Epoch:              2451586.5000  =  2000/02/12
Mean Anomaly:          331.12156 +/-     0.003
Argument of Peri:      174.85021 +/-     0.004
Long of Asc Node:       75.74684 +/-     0.001
Inclination:             4.81878 +/-     0.000
Eccentricity:         0.33214040 +/-    0.0000
Semi-Major Axis:     57.15500601 +/-    0.0036
Time of Perihelion: 2464247.0074 +/-      13.7
Perihelion:          38.17151926 +/-    0.0030
Aphelion:            76.13849276 +/-    0.0051
Period (y)              432.1053 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -41.47073814 +/-    0.0005
Ecliptic Y          -10.65027834 +/-    0.0001
Ecliptic Z            3.16741295 +/-    0.0000
Ecliptic XDOT         0.00134561 +/-    0.0000
Ecliptic YDOT        -0.00260188 +/-    0.0000
Ecliptic ZDOT        -0.00016395 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.93363485 +/-    0.0005
Geocenter to KBO     42.32582772 +/-    0.0005
# Hcoef:  6.80

The following table shows the complete astrometric record for 12HK85. 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 (12HK85) followed by the observatory code and reference code for the source of the astrometry.

2000 02  12.469130 13 03 31.79   -02 07 14.1         12HK85    645  C~2VVJ      
2000 02  12.469959 13 03 31.78   -02 07 14.1         12HK85    645  C~2VVJ      
2012 04  27.41277  14 05 58.109  -09 09 45.25  21.7i 12HK85    F51  C~1w3q      
2012 04  27.42540  14 05 58.026  -09 09 45.18  22.6w 12HK85    F51  C~1w3q      
2012 04  27.44036  14 05 57.967  -09 09 44.73  22.5w 12HK85    F51  C~1w3q      
2012 04  27.47033  14 05 57.826  -09 09 43.76  22.6w 12HK85    F51  C~1w3q      
2012 05  21.36269  14 04 11.322  -09 01 13.85  22.9w 12HK85    F51  C~1w3q      
2012 05  21.37720  14 04 11.264  -09 01 13.46  23.1w 12HK85    F51  C~1w3q      
2013 05  09.41428  14 11 07.387  -09 43 52.11  22.5w 12HK85    F51  C~1w3q      
2013 05  09.42825  14 11 07.350  -09 43 51.96  22.3w 12HK85    F51  C~1w3q      
2013 05  09.44222  14 11 07.299  -09 43 51.44  22.6w 12HK85    F51  C~1w3q      
2013 07  28.27408  14 08 11.116  -09 34 57.04  23.0G 12HK85    F51  C~2rXt      
2014 03  27.53010  14 20 32.810  -10 38 58.12  22.4w 12HK85    F51  C~1w3q      
2014 03  27.55230  14 20 32.721  -10 38 57.62  22.4w 12HK85    F51  C~1w3q      
2014 04  05.52255  14 19 55.438  -10 35 37.04  22.6w 12HK85    F51  C~1w3q      
2014 04  05.54366  14 19 55.344  -10 35 36.49  22.6w 12HK85    F51  C~1w3q      
2014 04  05.55423  14 19 55.302  -10 35 36.29  22.7w 12HK85    F51  C~1w3q      
2014 05  21.33305  14 16 23.791  -10 18 27.91  23.1G 12HK85    F51  C~2rXt      
2014 05  21.34657  14 16 23.746  -10 18 27.72  23.2G 12HK85    F51  C~2rXt      
2014 05  21.36004  14 16 23.675  -10 18 27.44  22.6G 12HK85    F51  C~2rXt      
2014 05  21.37350  14 16 23.591  -10 18 27.14        12HK85    F51  C~2rXt      
2014 05  27.35789  14 15 58.802  -10 16 40.10  23.4G 12HK85    F51  C~2rXt      
2014 05  27.36900  14 15 58.747  -10 16 39.78  22.5G 12HK85    F51  C~2rXt      
2014 05  29.38507  14 15 50.787  -10 16 06.21  23.3G 12HK85    F51  C~2rXt      
2014 06  06.35440  14 15 21.458  -10 14 07.67  23.0G 12HK85    F51  C~2rXt      
2014 06  18.34614  14 14 45.069  -10 11 56.51  22.4G 12HK85    F51  C~2rXt      
2014 06  28.28748  14 14 23.136  -10 10 55.83  23.0G 12HK85    F51  C~2rXt      
2014 06  28.29823  14 14 23.111  -10 10 55.72  22.8G 12HK85    F51  C~2rXt      
2014 06  28.30895  14 14 23.080  -10 10 55.67  22.8G 12HK85    F51  C~2rXt      
2014 06  28.31968  14 14 23.069  -10 10 55.50  22.6G 12HK85    F51  C~2rXt      
2015 03  17.57847  14 27 23.058  -11 20 27.07  23.2G 12HK85    F51  C~2rXt      
2015 03  18.56476  14 27 19.859  -11 20 08.65  22.4G 12HK85    F51  C~2rXt      
2015 03  19.56331  14 27 16.544  -11 19 50.15  23.3G 12HK85    F51  C~2rXt      
2015 04  23.39143  14 24 48.894  -11 07 06.36  22.2G 12HK85    F51  C~2rXt      
2015 04  24.51677  14 24 43.521  -11 06 40.02  23.2w 12HK85    F51  C~2rXt      
2015 04  25.45626  14 24 38.993  -11 06 18.30  23.0G 12HK85    F51  C~2rXt      
2015 05  24.36028  14 22 24.676  -10 56 04.15  22.7G 12HK85    F51  C~2rXt      
2015 06  13.33606  14 21 10.055  -10 51 07.15  19.4G 12HK85    F51  C~2rXt      
2016 02  10.59998  14 34 37.926  -12 04 39.25  23.8G 12HK85    F51  C~2rXt      
2016 02  20.64665  14 34 33.517  -12 03 42.45  22.7G 12HK85    F51  C~2rXt      
2016 03  06.52350  14 34 09.241  -12 00 58.18  22.7G 12HK85    F51  C~2rXt      
2016 03  06.53512  14 34 09.197  -12 00 58.31  22.8G 12HK85    F51  C~2rXt      
2016 03  06.54676  14 34 09.172  -12 00 58.00  22.7G 12HK85    F51  C~2rXt      
2016 03  06.55838  14 34 09.138  -12 00 57.80  23.2G 12HK85    F51  C~2rXt      
2016 03  13.56209  14 33 50.928  -11 59 11.35  22.6G 12HK85    F51  C~2rXt      
2016 03  13.57454  14 33 50.895  -11 59 11.17  22.7G 12HK85    F51  C~2rXt      
2016 04  05.51236  14 32 27.084  -11 51 46.87  22.4G 12HK85    F51  C~2rXt      
2016 04  17.45734  14 31 33.096  -11 47 20.56  22.0G 12HK85    F51  C~2rXt      
2016 04  30.41197  14 30 31.021  -11 42 25.63  22.5G 12HK85    F51  C~2rXt      
2016 04  30.42457  14 30 30.944  -11 42 25.34  22.9G 12HK85    F51  C~2rXt      
2016 04  30.43719  14 30 30.910  -11 42 24.97  22.2G 12HK85    F51  C~2rXt      
2016 04  30.44981  14 30 30.841  -11 42 24.87  22.4G 12HK85    F51  C~2rXt      
2016 05  07.39252  14 29 57.288  -11 39 51.27  22.5G 12HK85    F51  C~2rXt      
2016 05  07.40355  14 29 57.260  -11 39 51.12  22.4G 12HK85    F51  C~2rXt      
2016 05  07.41461  14 29 57.214  -11 39 50.93  22.4G 12HK85    F51  C~2rXt      
2016 05  07.42566  14 29 57.169  -11 39 50.48  22.3G 12HK85    F51  C~2rXt      
2016 06  29.28189  14 26 41.551  -11 27 05.42  23.0G 12HK85    F51  C~2rXt      
2016 06  29.29428  14 26 41.530  -11 27 05.38  22.3G 12HK85    F51  C~2rXt      
2016 06  29.30659  14 26 41.503  -11 27 05.29  22.6G 12HK85    F51  C~2rXt      
2016 06  29.31887  14 26 41.497  -11 27 05.22  22.8G 12HK85    F51  C~2rXt      
2017 02  24.61333  14 40 48.366  -12 40 14.80  23.0G 12HK85    F51  C~2rXt      
2017 03  22.46146  14 39 46.689  -12 34 18.78  22.9G 12HK85    F51  C~2rXt      
2017 04  05.48811  14 38 52.598  -12 29 44.00  22.6G 12HK85    F51  C~2rXt      
2017 04  20.43943  14 37 44.902  -12 24 19.24  23.3G 12HK85    F51  C~2rXt      
2017 05  27.31076  14 34 50.359  -12 11 32.15  23.0G 12HK85    F51  C~2rXt      
2018 03  18.53782  14 46 28.023  -13 12 48.20  22.5G 12HK85    F51  C~2rXt      
2018 04  12.53720  14 44 52.180  -13 04 57.66  23.1G 12HK85    F51  C~2rXt      
2018 05  19.37927  14 41 55.306  -12 51 57.23  22.5G 12HK85    F51  C~2rXt      

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    -0.14
  2   0.0000      0.00    -0.12       0.00    -0.15
  3  12.2052      0.00     0.30       0.00     0.20
  4  12.2052      0.00    -0.03       0.00    -0.03
  5  12.2053      0.00     0.16       0.00     0.06
  6  12.2053      0.00     0.19       0.00     0.32
  7  12.2708      0.00    -0.03       0.00    -0.06
  8  12.2708      0.00     0.01       0.00     0.06
  9  13.2374      0.00    -0.33       0.00     0.18
 10  13.2374      0.00     0.10       0.00     0.02
 11  13.2374      0.00     0.31       0.00     0.24
 12  13.4560      0.00    -0.01       0.00     0.18
 13  14.1193      0.00     0.06       0.00     0.16
 14  14.1193      0.00     0.07       0.00     0.18
 15  14.1439      0.00     0.04       0.00     0.04
 16  14.1439      0.00     0.04       0.00     0.10
 17  14.1440      0.00     0.11       0.00     0.06
 18  14.2693      0.00    -0.12       0.00    -0.05
 19  14.2693      0.00     0.09       0.00    -0.12
 20  14.2694      0.00    -0.09       0.00    -0.09
 21  14.2694      0.00    -0.47       0.00    -0.04
 22  14.2858      0.00     0.01       0.00    -0.27
 23  14.2858      0.00    -0.14       0.00    -0.14
 24  14.2914      0.00     0.14       0.00    -0.12
 25  14.3132      0.00    -0.08       0.00    -0.11
 26  14.3460      0.00    -0.33       0.00    -0.02
 27  14.3732      0.00     0.16       0.00    -0.09
 28  14.3732      0.00     0.09       0.00    -0.02
 29  14.3733      0.00    -0.07       0.00    -0.02
 30  14.3733      0.00     0.07       0.00     0.11
 31  15.0913      0.00    -0.07       0.00     0.00
 32  15.0940      0.00     0.14       0.00     0.25
 33  15.0968      0.00     0.27       0.00     0.06
 34  15.1921      0.00    -0.01       0.00    -0.01
 35  15.1952      0.00     0.33       0.00     0.19
 36  15.1978      0.00    -0.11       0.00     0.12
 37  15.2769      0.00    -0.02       0.00    -0.05
 38  15.3316      0.00    -0.17       0.00    -0.11
 39  15.9949      0.00    -0.14       0.00    -0.03
 40  16.0224      0.00     0.07       0.00    -0.10
 41  16.0631      0.00     0.21       0.00     0.15
 42  16.0632      0.00    -0.04       0.00    -0.14
 43  16.0632      0.00     0.01       0.00     0.01
 44  16.0632      0.00    -0.09       0.00     0.04
 45  16.0824      0.00    -0.01       0.00     0.08
 46  16.0824      0.00     0.05       0.00     0.05
 47  16.1452      0.00    -0.17       0.00    -0.16
 48  16.1779      0.00    -0.35       0.00    -0.67
 49  16.2134      0.00    -0.04       0.00     0.04
 50  16.2134      0.00    -0.26       0.00     0.05
 51  16.2135      0.00     0.17       0.00     0.13
 52  16.2135      0.00     0.06       0.00    -0.05
 53  16.2325      0.00    -0.52       0.00     0.17
 54  16.2325      0.00    -0.13       0.00     0.08
 55  16.2326      0.00    -0.01       0.00     0.03
 56  16.2326      0.00     0.13       0.00     0.24
 57  16.3773      0.00     0.02       0.00    -0.09
 58  16.3773      0.00     0.09       0.00    -0.11
 59  16.3774      0.00     0.06       0.00    -0.08
 60  16.3774      0.00     0.35       0.00    -0.06
 61  17.0353      0.00    -0.25       0.00    -0.12
 62  17.1061      0.00     0.14       0.00    -0.22
 63  17.1445      0.00    -0.02       0.00     0.12
 64  17.1854      0.00     0.01       0.00    -0.21
 65  17.2864      0.00    -0.01       0.00    -0.09
 66  18.0946      0.00     0.00       0.00     0.04
 67  18.1631      0.00    -0.02       0.00    -0.15
 68  18.2640      0.00     0.04       0.00     0.17

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.

12HK85    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        57.146    57.146    57.147
ecceobj         0.332     0.332     0.332
incobj          4.819     4.819     4.819
qmin           37.669    37.671    37.628
qmax           78.607    78.656    78.766
amean          57.654    57.655    57.659
amin           56.975    57.009    57.023
amax           58.467    58.473    58.514
emean           0.334     0.334     0.334
emin            0.323     0.323     0.324
emax            0.345     0.346     0.346
imean           3.140     3.140     3.141
imin            2.794     2.788     2.769
imax            3.579     3.579     3.579
excite_mean     0.339     0.339     0.339
fracstop        1.000     1.000     1.000
cjmean          3.127     3.127     3.126

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       200.8     200.4     199.5
kozaiamp        180.0     180.0     180.0