Orbit Fit and Astrometric record for 12DZ98

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: 12DZ98    
# Created Tue Oct 24 01:38:09 2017
# Orbit generated from Bernstein formalism
# Fitting   14 observations of   16
# Arc:   2.97y
# First observation: 2012/02/16
#  Last observation: 2014/02/26
Preliminary a, adot, b, bdot, g, gdot:
  -0.000113   0.022952  -0.000004  -0.000480   0.023797   0.000000
# Chi-squared of fit:     5.49 DOF:   22 RMS:  0.11
# Min/Max residuals:    -0.25    0.26
# Exact a, adot, b, bdot, g, gdot:
  2.005015E-05  2.286871E-02 -4.831576E-06 -4.796468E-04  2.386294E-02 -4.945352E-04
# Covariance matrix:
  6.1012E-12 -7.1871E-12 -1.1586E-13  1.4433E-13 -2.0892E-12 -7.4675E-11
 -7.1871E-12  8.8370E-12  1.4661E-13 -1.8186E-13  2.8550E-12  9.4049E-11
 -1.1586E-13  1.4661E-13  5.6401E-13 -2.7984E-13  5.4253E-14  1.5999E-12
  1.4433E-13 -1.8186E-13 -2.7984E-13  1.7155E-13 -6.3662E-14 -1.9788E-12
 -2.0892E-12  2.8550E-12  5.4253E-14 -6.3662E-14  2.0480E-12  3.2709E-11
 -7.4675E-11  9.4049E-11  1.5999E-12 -1.9788E-12  3.2709E-11  1.0230E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.551985 -177.273395    0.228717    0.043187   -0.969656  2455631.029986
# Heliocentric elements and errors
Epoch:              2455630.5000  =  2011/03/10
Mean Anomaly:          258.07484 +/-     0.554
Argument of Peri:      220.50603 +/-     0.544
Long of Asc Node:       66.84709 +/-     0.019
Inclination:             2.76471 +/-     0.000
Eccentricity:         0.02725828 +/-    0.0014
Semi-Major Axis:     42.60223336 +/-    0.0078
Time of Perihelion: 2484386.3283 +/-     156.2
Perihelion:          41.44096976 +/-    0.0592
Aphelion:            43.76349695 +/-    0.0593
Period (y)              278.0717 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -42.79329622 +/-    0.0025
Ecliptic Y           -1.81034910 +/-    0.0002
Ecliptic Z            1.86571126 +/-    0.0001
Ecliptic XDOT         0.00017756 +/-    0.0000
Ecliptic YDOT        -0.00261221 +/-    0.0000
Ecliptic ZDOT        -0.00005748 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.87218730 +/-    0.0025
Geocenter to KBO     41.90598151 +/-    0.0025
# Hcoef:  6.59

The following table shows the complete astrometric record for 12DZ98. 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 (12DZ98) followed by the observatory code and reference code for the source of the astrometry.

2011 03  10.52922  12 14 03.846  +01 15 27.47  22.2g 12DZ98    F51  C~1w3p      
2012 02  16.58039  12 20 14.081  +00 33 00.49  22.6i 12DZ98    F51  C~1w3p      
2012 02  16.59101  12 20 14.048  +00 33 00.40  22.5i 12DZ98    F51  C~1w3p      
2012 02  28.50843  12 19 31.190  +00 38 00.05  23.5w 12DZ98    F51  C~1w3p      
2012 02  28.52279  12 19 31.126  +00 38 00.56  23.4w 12DZ98    F51  C~1w3p      
2012 04  12.33660  12 16 23.785  +00 58 13.89  23.0w 12DZ98    F51  C~1w3p      
2012 04  12.35055  12 16 23.724  +00 58 14.00  22.9w 12DZ98    F51  C~1w3p      
2012 04  12.36447  12 16 23.671  +00 58 14.42  23.1w 12DZ98    F51  C~1w3p      
2012 04  12.37851  12 16 23.603  +00 58 14.63  23.0w 12DZ98    F51  C~1w3p      
2013 03  08.45439  12 23 42.101  +00 09 09.83  22.6w 12DZ98    F51  C~1w3p      
2013 03  08.46849  12 23 42.037  +00 09 10.20  22.7w 12DZ98    F51  C~1w3p      
2013 03  08.48259  12 23 41.969  +00 09 10.32  22.7w 12DZ98    F51  C~1w3p      
2013 04  04.40765  12 21 44.878  +00 21 48.28  22.3w 12DZ98    F51  C~1w3p      
2014 02  26.51444  12 29 08.648  -00 28 14.13  22.7w 12DZ98    F51  C~1w3p      
2014 02  26.52680  12 29 08.607  -00 28 13.78  22.8w 12DZ98    F51  C~1w3p      
2014 02  26.55154  12 29 08.526  -00 28 13.08  22.9w 12DZ98    F51  C~1w3p      

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 (  -1.01)      0.00 (   0.93)
  2   0.9392   6109.49    -0.17    -128.96     0.26
  3   0.9393   6109.07     0.00    -129.24    -0.04
  4   0.9719   5399.54     0.18    -110.03    -0.14
  5   0.9719   5398.45     0.03    -109.94    -0.06
  6   1.0919   2336.71    -0.08    -114.15     0.18
  7   1.0919   2335.83    -0.01    -114.41    -0.05
  8   1.0920   2334.93     0.05    -114.34     0.05
  9   1.0920   2333.91    -0.01    -114.55    -0.14
 10   1.9957   9546.37     0.04    -200.19     0.09
 11   1.9957   9545.34    -0.01    -200.24     0.05
 12   1.9958   9544.35    -0.02    -200.53    -0.25
 13   2.0695   7628.11 (   0.86)   -203.93 (  -0.39)
 14   2.9678  14952.26    -0.09    -310.36    -0.07
 15   2.9678  14951.55    -0.03    -310.29    -0.00
 16   2.9679  14950.15     0.12    -310.13     0.13

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.

12DZ98    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        42.592    42.616    42.568
ecceobj         0.026     0.025     0.028
incobj          2.764     2.764     2.764
qmin           41.056    41.108    40.930
qmax           44.736    44.704    44.814
amean          42.813    42.837    42.788
amin           42.484    42.512    42.465
amax           43.143    43.170    43.121
emean           0.021     0.019     0.022
emin            0.001     0.000     0.000
emax            0.037     0.036     0.040
imean           1.081     1.080     1.083
imin            0.122     0.091     0.153
imax            1.879     1.879     1.879
excite_mean     0.029     0.028     0.030
fracstop        1.000     1.000     1.000
cjmean          3.086     3.087     3.086

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       187.1     188.2     185.5
kozaiamp        180.0     179.9     180.0