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 Dec 13 02:37:50 2017
# Orbit generated from Bernstein formalism
# Fitting   14 observations of   14
# Arc:   1.94y
# First observation: 2012/04/27
#  Last observation: 2014/04/05
Preliminary a, adot, b, bdot, g, gdot:
   0.000016   0.028488   0.000001  -0.001737   0.025686   0.000000
# Chi-squared of fit:     6.97 DOF:   22 RMS:  0.12
# Min/Max residuals:    -0.34    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.698407E-05  2.829270E-02 -1.850830E-06 -1.723729E-03  2.543873E-02 -4.647697E-03
# Covariance matrix:
  3.5823E-13 -5.1733E-14  3.4866E-15 -1.6306E-14  8.7861E-13  4.9892E-12
 -5.1733E-14  2.4621E-12  2.1968E-14 -1.5679E-13  2.5941E-12  4.6313E-11
  3.4866E-15  2.1968E-14  2.2969E-13 -1.3701E-13  4.1420E-14  5.1038E-13
 -1.6306E-14 -1.5679E-13 -1.3701E-13  1.5768E-13 -2.4208E-13 -3.4163E-12
  8.7861E-13  2.5941E-12  4.1420E-14 -2.4208E-13  7.8049E-12  7.2585E-11
  4.9892E-12  4.6313E-11  5.1038E-13 -3.4163E-12  7.2585E-11  1.0137E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.384919 -147.490576   -0.085411    0.059387   -1.004574  2456044.913536
# Heliocentric elements and errors
Epoch:              2456040.5000  =  2012/04/23
Mean Anomaly:          341.58198 +/-     0.080
Argument of Peri:      174.40816 +/-     0.179
Long of Asc Node:       75.79416 +/-     0.006
Inclination:             4.81904 +/-     0.001
Eccentricity:         0.33349993 +/-    0.0011
Semi-Major Axis:     57.32906782 +/-    0.0662
Time of Perihelion: 2464151.9986 +/-      32.2
Perihelion:          38.20982758 +/-    0.0767
Aphelion:            76.44830806 +/-    0.1083
Period (y)              434.0807 +/-      0.75
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -33.89221016 +/-    0.0036
Ecliptic Y          -21.70153033 +/-    0.0023
Ecliptic Z            2.32098229 +/-    0.0003
Ecliptic XDOT         0.00204336 +/-    0.0000
Ecliptic YDOT        -0.00230179 +/-    0.0000
Ecliptic ZDOT        -0.00021462 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.31160238 +/-    0.0033
Geocenter to KBO     39.31013151 +/-    0.0043
# 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.

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     0.12       0.00     0.16
  2   0.0000     -1.18    -0.11      -0.35    -0.17
  3   0.0001     -2.15     0.03      -0.23    -0.02
  4   0.0002     -4.45    -0.02      -0.02     0.24
  5   0.0656  -1661.34    -0.00     -57.48    -0.19
  6   0.0656  -1662.28    -0.02     -57.40    -0.06
  7   1.0322   4999.75    -0.34    -379.37    -0.07
  8   1.0322   4999.19     0.10    -379.41    -0.07
  9   1.0323   4998.30     0.23    -379.17     0.20
 10   1.9141  13992.14    -0.04    -718.51     0.05
 11   1.9141  13990.73    -0.04    -718.47     0.07
 12   1.9387  13403.08     0.02    -710.24    -0.08
 13   1.9388  13401.59    -0.01    -710.18    -0.02
 14   1.9388  13400.93     0.08    -710.19    -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.

12HK85    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        57.127    57.303    56.953
ecceobj         0.332     0.335     0.329
incobj          4.819     4.819     4.819
qmin           37.657    37.432    37.683
qmax           78.718    79.714    78.334
amean          57.656    57.890    57.490
amin           56.976    57.099    56.862
amax           58.490    58.917    58.303
emean           0.334     0.338     0.332
emin            0.323     0.323     0.322
emax            0.346     0.354     0.344
imean           3.141     3.301     3.213
imin            2.792     2.966     2.884
imax            3.579     3.730     3.581
excite_mean     0.339     0.343     0.337
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       200.5     183.1     190.5
kozaiamp        180.0     180.0     180.0