Orbit Fit and Astrometric record for 12HZ84

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: 12HZ84    
# Created Wed Dec 13 02:37:50 2017
# Orbit generated from Bernstein formalism
# Fitting   42 observations of   42
# Arc:   2.19y
# First observation: 2012/04/17
#  Last observation: 2014/06/27
Preliminary a, adot, b, bdot, g, gdot:
  -0.000015   0.025472  -0.000006   0.002248   0.025016   0.000000
# Chi-squared of fit:    11.74 DOF:   78 RMS:  0.09
# Min/Max residuals:    -0.34    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.563072E-05  2.486401E-02  1.002743E-06  2.194775E-03  2.448774E-02 -3.599214E-03
# Covariance matrix:
  8.0949E-14 -1.3282E-13  1.4084E-15 -8.9704E-15 -6.9585E-14 -2.0059E-12
 -1.3282E-13  2.6309E-12 -3.6338E-14  2.1276E-13  2.4663E-12  4.9653E-11
  1.4084E-15 -3.6338E-14  7.4310E-14 -4.7980E-14 -3.4145E-14 -7.1218E-13
 -8.9704E-15  2.1276E-13 -4.7980E-14  6.9134E-14  1.9741E-13  4.2245E-12
 -6.9585E-14  2.4663E-12 -3.4145E-14  1.9741E-13  2.4076E-12  4.6374E-11
 -2.0059E-12  4.9653E-11 -7.1218E-13  4.2245E-12  4.6374E-11  9.7930E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.928852  -81.047379    0.954545    0.010824   -0.321324  2456034.840996
# Heliocentric elements and errors
Epoch:              2456030.5000  =  2012/04/13
Mean Anomaly:          311.33457 +/-     0.062
Argument of Peri:       88.83752 +/-     0.149
Long of Asc Node:      257.18287 +/-     0.002
Inclination:             5.46302 +/-     0.001
Eccentricity:         0.19573934 +/-    0.0013
Semi-Major Axis:     45.90516583 +/-    0.0264
Time of Perihelion: 2471387.5878 +/-      14.2
Perihelion:          36.91971875 +/-    0.0619
Aphelion:            54.89061290 +/-    0.0661
Period (y)              311.0288 +/-      0.27
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            5.46180912 +/-    0.0004
Ecliptic Y          -40.78066234 +/-    0.0026
Ecliptic Z            1.37455160 +/-    0.0001
Ecliptic XDOT         0.00267722 +/-    0.0000
Ecliptic YDOT         0.00084173 +/-    0.0000
Ecliptic ZDOT         0.00023181 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.16774431 +/-    0.0025
Geocenter to KBO     40.83676361 +/-    0.0026
# Hcoef: 10.09

The following table shows the complete astrometric record for 12HZ84. 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 (12HZ84) followed by the observatory code and reference code for the source of the astrometry.

2012 04  17.34023  18 38 24.90   -21 12 44.9         12HZ84    268  C~11qh      
2012 04  17.34199  18 38 24.89   -21 12 45.0         12HZ84    268  C~11qh      
2012 04  17.38720  18 38 24.85   -21 12 44.8         12HZ84    268  C~11qh      
2012 04  17.41592  18 38 24.81   -21 12 44.7         12HZ84    268  C~11qh      
2012 04  18.26755  18 38 24.04   -21 12 42.0         12HZ84    268  C~11qh      
2012 04  18.31485  18 38 23.97   -21 12 41.9         12HZ84    268  C~11qh      
2012 04  18.36265  18 38 23.93   -21 12 41.7         12HZ84    268  C~11qh      
2012 04  18.40528  18 38 23.88   -21 12 41.7         12HZ84    268  C~11qh      
2012 04  19.30535  18 38 22.94   -21 12 38.8         12HZ84    268  C~11qh      
2012 04  19.30696  18 38 22.95   -21 12 39.0         12HZ84    268  C~11qh      
2012 04  19.31725  18 38 22.93   -21 12 39.0         12HZ84    268  C~11qh      
2012 04  19.35214  18 38 22.90   -21 12 38.8         12HZ84    268  C~11qh      
2012 04  19.36183  18 38 22.89   -21 12 38.8         12HZ84    268  C~11qh      
2012 04  19.36529  18 38 22.87   -21 12 38.9         12HZ84    268  C~11qh      
2012 04  19.39518  18 38 22.85   -21 12 38.7         12HZ84    268  C~11qh      
2012 04  19.39905  18 38 22.84   -21 12 38.5   26.0R 12HZ84    268  C~11qh      
2012 04  19.40424  18 38 22.83   -21 12 38.6         12HZ84    268  C~11qh      
2012 04  19.41581  18 38 22.82   -21 12 38.5         12HZ84    268  C~11qh      
2013 06  11.21626  18 41 39.73   -20 58 52.3         12HZ84    268  C~11qh      
2013 06  11.27933  18 41 39.43   -20 58 52.4         12HZ84    268  C~11qh      
2013 06  11.34902  18 41 39.10   -20 58 52.5         12HZ84    268  C~11qh      
2013 06  13.21699  18 41 29.98   -20 58 57.4         12HZ84    268  C~11qh      
2013 06  13.27759  18 41 29.68   -20 58 57.5         12HZ84    268  C~11qh      
2013 06  13.35667  18 41 29.28   -20 58 57.9         12HZ84    268  C~11qh      
2013 06  13.37736  18 41 29.19   -20 58 57.7         12HZ84    268  C~11qh      
2013 07  05.44641  18 39 36.03   -21 00 13.1         12HZ84    266  C~11qh      
2013 07  05.52857  18 39 35.59   -21 00 13.1         12HZ84    266  C~11qh      
2013 07  06.35581  18 39 31.32   -21 00 16.8         12HZ84    266  C~11qh      
2013 07  06.44409  18 39 30.86   -21 00 16.9         12HZ84    266  C~11qh      
2013 07  06.52777  18 39 30.42   -21 00 17.3         12HZ84    266  C~11qh      
2013 08  28.07314  18 35 53.91   -21 03 52.6         12HZ84    268  C~11qh      
2013 08  30.06766  18 35 49.40   -21 03 59.7         12HZ84    268  C~11qh      
2013 09  01.05404  18 35 45.26   -21 04 06.2         12HZ84    268  C~11qh      
2013 09  03.04605  18 35 41.48   -21 04 12.6         12HZ84    268  C~11qh      
2013 09  04.04974  18 35 39.72   -21 04 15.8         12HZ84    268  C~11qh      
2014 06  25.39062  18 46 41.456  -20 45 16.41        12HZ84    266  C~2Gt8      
2014 06  25.42914  18 46 41.255  -20 45 16.58        12HZ84    266  C~2Gt8      
2014 06  25.44525  18 46 41.168  -20 45 16.67        12HZ84    266  C~2Gt8      
2014 06  25.53018  18 46 40.726  -20 45 16.96        12HZ84    266  C~2Gt8      
2014 06  25.54954  18 46 40.616  -20 45 17.01        12HZ84    266  C~2Gt8      
2014 06  27.35925  18 46 31.267  -20 45 24.74        12HZ84    266  C~2Gt8      
2014 06  27.37093  18 46 31.205  -20 45 24.76        12HZ84    266  C~2Gt8      

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     0.09       0.00     0.09
  2   0.0000     -0.15    -0.04      -0.09    -0.01
  3   0.0001     -0.69     0.03       0.15     0.04
  4   0.0002     -1.24    -0.14       0.28     0.06
  5   0.0025    -11.81     0.16       3.69     0.05
  6   0.0027    -12.78    -0.12       3.86     0.03
  7   0.0028    -13.32     0.04       4.09     0.08
  8   0.0029    -14.02    -0.02       4.14    -0.04
  9   0.0054    -26.94    -0.12       7.91     0.12
 10   0.0054    -26.82     0.03       7.70    -0.09
 11   0.0054    -27.10    -0.08       7.72    -0.11
 12   0.0055    -27.50     0.08       7.94    -0.02
 13   0.0055    -27.64     0.09       7.95    -0.05
 14   0.0055    -27.93    -0.14       7.87    -0.14
 15   0.0056    -28.19     0.09       8.09    -0.05
 16   0.0056    -28.32     0.02       8.30     0.15
 17   0.0057    -28.46    -0.04       8.21     0.03
 18   0.0057    -28.60     0.02       8.32     0.10
 19   1.1496   2777.66    -0.19     642.66    -0.09
 20   1.1497   2773.46    -0.03     642.86    -0.04
 21   1.1499   2768.84     0.16     643.10     0.01
 22   1.1550   2641.07    -0.02     647.32     0.03
 23   1.1552   2636.87     0.03     647.52     0.09
 24   1.1554   2631.25    -0.06     647.52    -0.11
 25   1.1555   2630.01     0.14     647.81     0.13
 26   1.2159   1043.73    -0.00     683.08    -0.24
 27   1.2161   1037.59    -0.07     683.50     0.07
 28   1.2184    977.68     0.00     683.89    -0.34
 29   1.2186    971.24     0.10     684.23    -0.09
 30   1.2189    965.07     0.11     684.25    -0.18
 31   1.3627  -2073.85    -0.03     667.31     0.23
 32   1.3682  -2137.30     0.04     664.16    -0.04
 33   1.3736  -2195.55    -0.02     661.28     0.07
 34   1.3791  -2248.76    -0.04     658.18     0.06
 35   1.3818  -2273.55    -0.03     656.52    -0.01
 36   2.1877   7058.79    -0.00    1137.75     0.05
 37   2.1878   7055.96     0.02    1137.80     0.04
 38   2.1878   7054.74    -0.02    1137.81     0.02
 39   2.1881   7048.53     0.05    1138.01     0.07
 40   2.1881   7046.98    -0.07    1138.08     0.10
 41   2.1931   6915.50    -0.01    1140.74    -0.03
 42   2.1931   6914.63    -0.02    1140.79     0.00

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.

12HZ84    quality flag:2

Type:       SCATNEAR CLASSICAL CLASSICAL

axisobj        45.842    45.910    45.775
ecceobj         0.197     0.200     0.193
incobj          5.467     5.467     5.466
qmin           36.219    35.953    36.182
qmax           56.399    56.708    56.189
amean          46.013    46.103    45.972
amin           45.553    45.703    45.568
amax           46.521    46.622    46.456
emean           0.195     0.200     0.193
emin            0.177     0.184     0.177
emax            0.213     0.218     0.211
imean           7.630     7.595     7.547
imin            6.777     6.777     6.772
imax            8.509     8.445     8.471
excite_mean     0.236     0.240     0.234
fracstop        1.000     1.000     1.000
cjmean          3.057     3.056     3.058

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       179.6     180.2     178.8
kozaiamp        180.0     179.9     180.0