Orbit Fit and Astrometric record for 12HL85

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: 12HL85    
# Created Thu Jul 19 01:38:00 2018
# Orbit generated from Bernstein formalism
# Fitting   33 observations of   33
# Arc:  15.09y
# First observation: 1999/03/21
#  Last observation: 2014/04/23
Preliminary a, adot, b, bdot, g, gdot:
  -0.001206   0.024229   0.000416  -0.006267   0.026023   0.000000
# Chi-squared of fit:    23.32 DOF:   60 RMS:  0.15
# Min/Max residuals:    -0.34    0.32
# Exact a, adot, b, bdot, g, gdot:
  1.573423E-05  2.328789E-02 -3.181862E-06 -6.037371E-03  2.480322E-02  1.208015E-05
# Covariance matrix:
  2.1424E-13 -2.8973E-14 -5.7666E-15  4.6736E-15  6.2266E-14 -4.9135E-14
 -2.8973E-14  5.9053E-14  1.8412E-14 -1.4873E-14  1.4534E-13  1.5845E-13
 -5.7666E-15  1.8412E-14  1.7148E-13 -1.7318E-14  4.5042E-14  5.0543E-14
  4.6736E-15 -1.4873E-14 -1.7318E-14  5.1066E-15 -3.6350E-14 -4.0831E-14
  6.2266E-14  1.4534E-13  4.5042E-14 -3.6350E-14  6.0932E-13  3.8880E-13
 -4.9135E-14  1.5845E-13  5.0543E-14 -4.0831E-14  3.8880E-13  4.3494E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    8.329918 -160.635159    0.327695    0.137286   -0.939365  2451258.855900
# Heliocentric elements and errors
Epoch:              2451250.5000  =  1999/03/13
Mean Anomaly:          196.09768 +/-     0.105
Argument of Peri:      314.91262 +/-     0.099
Long of Asc Node:       47.58236 +/-     0.000
Inclination:            16.59961 +/-     0.000
Eccentricity:         0.02438136 +/-    0.0001
Semi-Major Axis:     40.30459806 +/-    0.0043
Time of Perihelion: 2493801.8075 +/-      26.3
Perihelion:          39.32191702 +/-    0.0050
Aphelion:            41.28727909 +/-    0.0052
Period (y)              255.8822 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -38.63106069 +/-    0.0012
Ecliptic Y          -13.23330103 +/-    0.0004
Ecliptic Z            5.84079319 +/-    0.0002
Ecliptic XDOT         0.00075788 +/-    0.0000
Ecliptic YDOT        -0.00244874 +/-    0.0000
Ecliptic ZDOT        -0.00065919 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.25038146 +/-    0.0011
Geocenter to KBO     40.31734930 +/-    0.0013
# Hcoef:  6.43

The following table shows the complete astrometric record for 12HL85. 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 (12HL85) followed by the observatory code and reference code for the source of the astrometry.

1999 03  21.355157 13 24 04.00   +00 08 17.9   22.4V 12HL85    645  C~2VVJ      
1999 03  21.355986 13 24 04.01   +00 08 18.0   22.1V 12HL85    645  C~2VVJ      
1999 03  21.358474 13 24 04.00   +00 08 18.4   23.2V 12HL85    645  C~2VVJ      
2000 04  06.340535 13 27 13.26   -00 33 31.5   22.5V 12HL85    645  C~2VVJ      
2000 04  06.341364 13 27 13.26   -00 33 31.6   22.2V 12HL85    645  C~2VVJ      
2000 04  06.343852 13 27 13.26   -00 33 31.5   23.5V 12HL85    645  C~2VVJ      
2000 04  25.252105 13 25 44.64   -00 26 08.6   22.4V 12HL85    645  C~2VVJ      
2000 04  25.252934 13 25 44.64   -00 26 08.5   22.0V 12HL85    645  C~2VVJ      
2000 04  25.255422 13 25 44.64   -00 26 08.5   23.8V 12HL85    645  C~2VVJ      
2006 05  25.199169 13 50 19.36   -05 13 10.4   22.3V 12HL85    645  C~2VVJ      
2006 05  25.199998 13 50 19.35   -05 13 10.5   21.7V 12HL85    645  C~2VVJ      
2006 05  25.202486 13 50 19.36   -05 13 10.4   23.7V 12HL85    645  C~2VVJ      
2011 04  27.38629  14 15 01.161  -09 24 56.54  22.7w 12HL85    F51  C~1w3q      
2011 04  27.43036  14 15 00.938  -09 24 55.71  22.3w 12HL85    F51  C~1w3q      
2012 04  27.43132  14 19 32.237  -10 12 50.16  22.7w 12HL85    F51  C~1w3q      
2012 04  27.44629  14 19 32.165  -10 12 49.88  22.9w 12HL85    F51  C~1w3q      
2012 04  27.46128  14 19 32.082  -10 12 49.24  22.5w 12HL85    F51  C~1w3q      
2012 04  27.47627  14 19 32.016  -10 12 49.28  22.4w 12HL85    F51  C~1w3q      
2012 05  21.35214  14 17 39.796  -10 05 19.35  22.5w 12HL85    F51  C~1w3q      
2012 05  21.36665  14 17 39.739  -10 05 19.16  23.0w 12HL85    F51  C~1w3q      
2012 05  21.38115  14 17 39.674  -10 05 19.12  22.8w 12HL85    F51  C~1w3q      
2012 05  21.39568  14 17 39.604  -10 05 18.76  22.6w 12HL85    F51  C~1w3q      
2013 01  17.62987  14 27 59.693  -11 19 00.84  22.8w 12HL85    F51  C~1w3q      
2013 01  17.63527  14 27 59.700  -11 19 00.97  22.7w 12HL85    F51  C~1w3q      
2013 05  09.40174  14 23 11.944  -10 56 55.57  22.3w 12HL85    F51  C~1w3q      
2013 05  09.41572  14 23 11.889  -10 56 55.63  22.7w 12HL85    F51  C~1w3q      
2013 05  09.42969  14 23 11.825  -10 56 55.09  22.4w 12HL85    F51  C~1w3q      
2013 05  09.44367  14 23 11.740  -10 56 54.77  22.3w 12HL85    F51  C~1w3q      
2014 03  27.54407  14 31 10.520  -11 58 48.49  22.4w 12HL85    F51  C~1w3q      
2014 04  05.52518  14 30 33.039  -11 56 02.90  22.6w 12HL85    F51  C~1w3q      
2014 04  05.53575  14 30 32.980  -11 56 02.29  22.7w 12HL85    F51  C~1w3q      
2014 04  05.55687  14 30 32.894  -11 56 02.23  22.6w 12HL85    F51  C~1w3q      
2014 04  23.41183  14 29 09.524  -11 50 05.61  22.6w 12HL85    F51  C~1w3q      

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    -0.18       0.00    -0.14
  2   0.0000      0.10    -0.02       0.15     0.01
  3   0.0000     -0.19    -0.14       0.46     0.32
  4   1.0458   3573.48    -0.11   -1260.83     0.15
  5   1.0458   3573.52    -0.01   -1260.92     0.06
  6   1.0458   3573.48     0.14   -1260.83     0.16
  7   1.0976   2174.87     0.03   -1349.03    -0.29
  8   1.0976   2174.83     0.05   -1348.94    -0.20
  9   1.0976   2174.83     0.24   -1348.94    -0.18
 10   7.1782  29310.88    -0.02   -9137.29     0.05
 11   7.1782  29310.78    -0.07   -9137.44    -0.10
 12   7.1782  29310.88     0.18   -9137.29     0.08
 13  12.1014  56590.68    -0.12  -15474.55     0.09
 14  12.1015  56587.05    -0.16  -15474.94    -0.04
 15  13.1036  61780.49     0.05  -16842.04     0.04
 16  13.1036  61779.29     0.09  -16842.15     0.02
 17  13.1036  61777.79    -0.17  -16841.96     0.30
 18  13.1037  61776.82     0.10  -16842.36    -0.00
 19  13.1691  59915.98    -0.18  -16998.56     0.07
 20  13.1691  59915.06    -0.05  -16998.68     0.07
 21  13.1691  59914.07     0.03  -16998.99    -0.13
 22  13.1692  59912.88    -0.10  -16999.01    -0.03
 23  13.8296  71094.50     0.16  -18101.47     0.29
 24  13.8297  71094.66     0.15  -18101.56     0.19
 25  14.1357  66160.13    -0.05  -18295.51    -0.08
 26  14.1357  66159.32     0.28  -18295.87    -0.34
 27  14.1357  66158.13     0.24  -18295.67    -0.04
 28  14.1358  66156.71    -0.04  -18295.80    -0.08
 29  15.0176  75022.91     0.07  -19508.28    -0.19
 30  15.0422  74372.56     0.03  -19536.22    -0.16
 31  15.0422  74371.39    -0.32  -19535.91     0.19
 32  15.0423  74370.03    -0.05  -19536.30    -0.12
 33  15.0912  72932.57    -0.06  -19611.42     0.03

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.

12HL85    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.315    40.328    40.303
ecceobj         0.024     0.024     0.024
incobj         16.606    16.606    16.606
qmin           39.000    39.069    39.037
qmax           42.286    42.270    42.315
amean          40.579    40.592    40.567
amin           40.284    40.297    40.262
amax           40.886    40.890    40.873
emean           0.019     0.018     0.019
emin            0.003     0.003     0.004
emax            0.035     0.034     0.035
imean          14.774    14.780    14.768
imin           13.883    13.892    13.873
imax           15.875    15.875    15.875
excite_mean     0.256     0.256     0.256
fracstop        1.000     1.000     1.000
cjmean          2.987     2.987     2.987

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       176.7     176.6     176.7
kozaiamp        179.9     179.9     180.0