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 Mon Dec 10 02:09:25 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   16 observations of   16
# Arc:  14.14y
# First observation: 2000/02/12
#  Last observation: 2014/04/05
# Chi-squared of fit:     7.57 DOF:   26 RMS:  0.12
# Min/Max residuals:    -0.34    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.629729E-05  2.480757E-02 -7.786242E-07 -1.019333E-03  2.362767E-02 -5.332305E-03
# Covariance matrix:
  7.3427E-13 -1.1095E-13 -1.1653E-15  2.3319E-15 -5.9369E-14 -1.4890E-13
 -1.1095E-13  5.0616E-13  1.0037E-14 -1.9634E-14  1.2967E-12  1.1759E-12
 -1.1653E-15  1.0037E-14  7.0813E-13 -5.4019E-14  2.5864E-14  2.3542E-14
  2.3319E-15 -1.9634E-14 -5.4019E-14  5.2963E-15 -5.0355E-14 -4.6088E-14
 -5.9369E-14  1.2967E-12  2.5864E-14 -5.0355E-14  3.7503E-12  2.9744E-12
 -1.4890E-13  1.1759E-12  2.3542E-14 -4.6088E-14  2.9744E-12  2.7671E-12
#      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:          331.10384 +/-     0.021
Argument of Peri:      174.85634 +/-     0.020
Long of Asc Node:       75.74890 +/-     0.001
Inclination:             4.81864 +/-     0.000
Eccentricity:         0.33195776 +/-    0.0002
Semi-Major Axis:     57.13721499 +/-    0.0254
Time of Perihelion: 2464248.8614 +/-      97.2
Perihelion:          38.17007282 +/-    0.0216
Aphelion:            76.10435717 +/-    0.0364
Period (y)              431.9036 +/-      0.29
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -41.46843602 +/-    0.0033
Ecliptic Y          -10.64963977 +/-    0.0009
Ecliptic Z            3.16720346 +/-    0.0003
Ecliptic XDOT         0.00134535 +/-    0.0000
Ecliptic YDOT        -0.00260185 +/-    0.0000
Ecliptic ZDOT        -0.00016392 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.93123724 +/-    0.0032
Geocenter to KBO     42.32342964 +/-    0.0035
# Hcoef:  6.55

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      
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      

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     0.07       0.00    -0.01
  2   0.0000      0.00    -0.06       0.00    -0.02
  3  12.2052      0.00     0.19       0.00     0.13
  4  12.2052      0.00    -0.14       0.00    -0.10
  5  12.2053      0.00     0.04       0.00    -0.01
  6  12.2053      0.00     0.08       0.00     0.25
  7  12.2708      0.00    -0.06       0.00    -0.16
  8  12.2708      0.00    -0.03       0.00    -0.03
  9  13.2374      0.00    -0.34       0.00     0.05
 10  13.2374      0.00     0.08       0.00    -0.11
 11  13.2374      0.00     0.29       0.00     0.11
 12  14.1193      0.00    -0.03       0.00     0.04
 13  14.1193      0.00    -0.03       0.00     0.05
 14  14.1439      0.00    -0.02       0.00    -0.10
 15  14.1439      0.00    -0.02       0.00    -0.04
 16  14.1440      0.00     0.05       0.00    -0.08

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        57.129    57.128    57.129
ecceobj         0.332     0.332     0.332
incobj          4.819     4.819     4.819
qmin           37.658    37.668    37.659
qmax           78.710    78.651    78.724
amean          57.659    57.655    57.654
amin           57.018    57.005    57.030
amax           58.468    58.460    58.480
emean           0.334     0.334     0.334
emin            0.323     0.323     0.323
emax            0.346     0.346     0.346
imean           3.135     3.139     3.138
imin            2.754     2.779     2.798
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     3.126     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       198.3     200.5     200.6
kozaiamp        180.0     180.0     179.9