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 Wed Jul 17 01:09:28 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     24 observations of     24
# Arc:  18.32y
# First observation: 2006/01/06
#  Last observation: 2024/05/04
# Chi-squared of fit:    46.12 DOF:     42 RMS:  0.25
# Min/Max residuals:    -0.58    1.05
# Exact a, adot, b, bdot, g, gdot:
  1.509273E-05  2.241002E-02  6.523037E-07 -3.714195E-04  2.343826E-02 -3.830641E-05
# Covariance matrix:
  4.7880E-13 -9.1366E-14 -5.3081E-15  1.2962E-15  9.6805E-15 -1.6419E-13
 -9.1366E-14  3.3622E-14  2.0178E-16 -4.7103E-16  8.1257E-14  5.7279E-14
 -5.3081E-15  2.0178E-16  1.9347E-13 -1.5221E-14 -8.9616E-15  1.6393E-15
  1.2962E-15 -4.7103E-16 -1.5221E-14  1.7295E-15 -8.6281E-16 -8.9122E-16
  9.6805E-15  8.1257E-14 -8.9616E-15 -8.6281E-16  6.0686E-13  9.2019E-14
 -1.6419E-13  5.7279E-14  1.6393E-15 -8.9122E-16  9.2019E-14  1.1011E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.634060  177.052155    0.932768    0.014576   -0.314451  2453742.000665
# Heliocentric elements and errors
Epoch:              2453742.5000  =  2006/01/07
Mean Anomaly:          272.74157 +/-     0.198
Argument of Peri:      198.81628 +/-     0.213
Long of Asc Node:       67.04170 +/-     0.002
Inclination:             2.76059 +/-     0.000
Eccentricity:         0.02449120 +/-    0.0000
Semi-Major Axis:     43.01811544 +/-    0.0053
Time of Perihelion: 2478721.8066 +/-      58.4
Perihelion:          41.96455017 +/-    0.0052
Aphelion:            44.07168071 +/-    0.0055
Period (y)              282.1534 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -42.83410444 +/-    0.0014
Ecliptic Y            3.13666601 +/-    0.0001
Ecliptic Z            1.96079712 +/-    0.0001
Ecliptic XDOT        -0.00012941 +/-    0.0000
Ecliptic YDOT        -0.00262069 +/-    0.0000
Ecliptic ZDOT        -0.00004354 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.99354904 +/-    0.0014
Geocenter to KBO     42.66530859 +/-    0.0014
# Hcoef:  6.45

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.

2006 01  06.499911 11 53 22.41   +03 35 20.5   23.0V 12DZ98    645  C~2VVI      
2006 01  06.500740 11 53 22.41   +03 35 20.5   22.8V 12DZ98    645  C~2VVI      
2006 01  06.503228 11 53 22.41   +03 35 20.5   23.9V 12DZ98    645  C~2VVI      
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      
2024 04  14.297790 13 14 03.369  -05 34 54.78  22.7G 12DZ98    G37  C~7zlo      
2024 04  14.330450 13 14 03.258  -05 34 53.54        12DZ98    G37  C~7zlo      
2024 05  04.261030 13 12 37.767  -05 26 38.33  23.1G 12DZ98    G37  C~82mI      
2024 05  04.290470 13 12 37.645  -05 26 37.72        12DZ98    G37  C~82mI      
2024 05  04.322490 13 12 37.514  -05 26 37.07        12DZ98    G37  C~82mI      

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    -0.17
     2   0.0000      0.00    -0.06       0.00    -0.18
     3   0.0000      0.00    -0.03       0.00    -0.20
     4   5.1719      0.00     0.34       0.00     1.05
     5   6.1111      0.00    -0.03       0.00     0.38
     6   6.1111      0.00     0.01       0.00     0.04
     7   6.1438      0.00     0.13       0.00    -0.13
     8   6.1438      0.00     0.02       0.00     0.00
     9   6.2638      0.00    -0.01       0.00     0.27
    10   6.2638      0.00    -0.04       0.00     0.03
    11   6.2638      0.00     0.05       0.00     0.09
    12   6.2639      0.00    -0.08       0.00    -0.05
    13   7.1676      0.00    -0.19       0.00     0.14
    14   7.1676      0.00    -0.26       0.00     0.12
    15   7.1676      0.00    -0.38       0.00    -0.15
    16   7.2414      0.00     0.25       0.00    -0.58
    17   8.1397      0.00     0.02       0.00    -0.25
    18   8.1397      0.00     0.10       0.00    -0.22
    19   8.1398      0.00     0.29       0.00    -0.15
    20  18.2691      0.00    -0.39       0.00    -0.24
    21  18.2692      0.00     0.17       0.00     0.14
    22  18.3238      0.00     0.09       0.00     0.07
    23  18.3239      0.00     0.06       0.00     0.02
    24  18.3239      0.00     0.05       0.00    -0.06

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        42.596    42.596    42.596
ecceobj         0.023     0.023     0.023
incobj          2.764     2.764     2.764
qmin           41.153    41.154    41.152
qmax           44.654    44.654    44.655
amean          42.815    42.815    42.815
amin           42.493    42.492    42.491
amax           43.144    43.145    43.145
emean           0.018     0.018     0.018
emin            0.000     0.000     0.000
emax            0.035     0.035     0.035
imean           1.082     1.082     1.082
imin            0.108     0.108     0.108
imax            1.878     1.878     1.878
excite_mean     0.028     0.028     0.028
fracstop        1.000     1.000     1.000
cjmean          3.087     3.087     3.087

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       184.9     184.6     185.1
kozaiamp        179.9     180.0     180.0