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 Sun Nov 24 02:09:14 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 29 observations of 29
# Arc: 18.32y
# First observation: 2006/01/06
# Last observation: 2024/05/04
# Chi-squared of fit: 48.13 DOF: 52 RMS: 0.23
# Min/Max residuals: -0.62 1.03
# Exact a, adot, b, bdot, g, gdot:
1.527245E-05 2.240999E-02 6.853779E-07 -3.714139E-04 2.343846E-02 -3.829101E-05
# Covariance matrix:
4.4528E-13 -7.9707E-14 -4.5943E-15 1.0839E-15 2.0833E-15 -1.3968E-13
-7.9707E-14 2.9629E-14 -9.6767E-17 -4.0129E-16 8.5214E-14 4.8659E-14
-4.5943E-15 -9.6767E-17 1.9368E-13 -1.5671E-14 -9.3647E-15 1.1194E-15
1.0839E-15 -4.0129E-16 -1.5671E-14 1.7179E-15 -9.1730E-16 -7.4311E-16
2.0833E-15 8.5214E-14 -9.3647E-15 -9.1730E-16 6.3212E-13 9.5688E-14
-1.3968E-13 4.8659E-14 1.1194E-15 -7.4311E-16 9.5688E-14 9.2315E-14
# 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: 272.67655 +/- 0.201
Argument of Peri: 198.88094 +/- 0.216
Long of Asc Node: 67.04197 +/- 0.002
Inclination: 2.76059 +/- 0.000
Eccentricity: 0.02448990 +/- 0.0000
Semi-Major Axis: 43.01655568 +/- 0.0054
Time of Perihelion: 2478739.0622 +/- 59.4
Perihelion: 41.96308451 +/- 0.0053
Aphelion: 44.07002685 +/- 0.0056
Period (y) 282.1380 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -42.83374276 +/- 0.0014
Ecliptic Y 3.13663972 +/- 0.0001
Ecliptic Z 1.96078186 +/- 0.0001
Ecliptic XDOT -0.00012941 +/- 0.0000
Ecliptic YDOT -0.00262066 +/- 0.0000
Ecliptic ZDOT -0.00004354 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.99318609 +/- 0.0014
Geocenter to KBO 42.66494572 +/- 0.0014
# Hcoef: 6.64
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 2016 04 04.42806 12 36 06.49 -01 16 58.1 23.9g 12DZ98 T09 C~8DbD 2016 04 04.43091 12 36 06.48 -01 16 58.1 24.1g 12DZ98 T09 C~8DbD 2016 04 04.46993 12 36 06.31 -01 16 56.9 24.1g 12DZ98 T09 C~8DbD 2016 04 04.53453 12 36 06.02 -01 16 55.2 24.1g 12DZ98 T09 C~8DbD 2016 04 04.54513 12 36 05.97 -01 16 55.0 24.1g 12DZ98 T09 C~8DbD 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 -0.11 0.00 -0.16
2 0.0000 0.00 -0.10 0.00 -0.17
3 0.0000 0.00 -0.06 0.00 -0.19
4 5.1719 0.00 0.35 0.00 1.03
5 6.1111 0.00 -0.03 0.00 0.36
6 6.1111 0.00 0.01 0.00 0.02
7 6.1438 0.00 0.14 0.00 -0.15
8 6.1438 0.00 0.03 0.00 -0.02
9 6.2638 0.00 0.03 0.00 0.24
10 6.2638 0.00 0.00 0.00 -0.01
11 6.2638 0.00 0.09 0.00 0.06
12 6.2639 0.00 -0.04 0.00 -0.09
13 7.1676 0.00 -0.17 0.00 0.12
14 7.1676 0.00 -0.24 0.00 0.10
15 7.1676 0.00 -0.37 0.00 -0.18
16 7.2414 0.00 0.29 0.00 -0.62
17 8.1397 0.00 0.03 0.00 -0.28
18 8.1397 0.00 0.12 0.00 -0.24
19 8.1398 0.00 0.30 0.00 -0.17
20 10.2421 0.00 -0.12 0.00 0.15
21 10.2421 0.00 -0.08 0.00 0.07
22 10.2422 0.00 0.00 0.00 0.19
23 10.2424 0.00 -0.01 0.00 0.11
24 10.2424 0.00 -0.05 0.00 0.02
25 18.2691 0.00 -0.40 0.00 -0.26
26 18.2692 0.00 0.16 0.00 0.11
27 18.3238 0.00 0.10 0.00 0.04
28 18.3239 0.00 0.07 0.00 -0.02
29 18.3239 0.00 0.06 0.00 -0.09
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