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: 12SB67
# Created Fri Apr 19 01:14:07 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 70 observations of 70
# Arc: 12.91y
# First observation: 2008/11/01
# Last observation: 2021/09/30
# Chi-squared of fit: 63.22 DOF: 134 RMS: 0.17
# Min/Max residuals: -0.54 0.44
# Exact a, adot, b, bdot, g, gdot:
1.624402E-05 2.568234E-02 -4.114577E-06 -6.941607E-03 2.521242E-02 -6.121754E-04
# Covariance matrix:
2.8883E-13 -6.9575E-14 -3.8263E-14 1.4106E-14 -6.6799E-14 -1.4868E-13
-6.9575E-14 2.2444E-14 1.3857E-14 -5.1365E-15 5.4659E-15 5.4547E-14
-3.8263E-14 1.3857E-14 1.1879E-13 -1.8951E-14 4.3183E-15 3.8189E-14
1.4106E-14 -5.1365E-15 -1.8951E-14 3.9886E-15 -1.4721E-15 -1.4158E-14
-6.6799E-14 5.4659E-15 4.3183E-15 -1.4721E-15 8.7608E-14 1.3776E-14
-1.4868E-13 5.4547E-14 3.8189E-14 -1.4158E-14 1.3776E-14 1.5038E-13
# lat0 lon0 xBary yBary zBary JD0
9.700360 2.616415 -0.595328 0.134172 -0.784693 2454771.815329
# Heliocentric elements and errors
Epoch: 2454772.5000 = 2008/11/02
Mean Anomaly: 357.98290 +/- 0.005
Argument of Peri: 150.27848 +/- 0.007
Long of Asc Node: 214.63256 +/- 0.000
Inclination: 17.93406 +/- 0.000
Eccentricity: 0.14349134 +/- 0.0000
Semi-Major Axis: 47.22431661 +/- 0.0027
Time of Perihelion: 2455436.6575 +/- 10.4
Perihelion: 40.44803625 +/- 0.0030
Aphelion: 54.00059698 +/- 0.0037
Period (y) 324.5314 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.82499700 +/- 0.0005
Ecliptic Y 2.41170939 +/- 0.0000
Ecliptic Z 6.68287681 +/- 0.0001
Ecliptic XDOT -0.00005997 +/- 0.0000
Ecliptic YDOT 0.00279122 +/- 0.0000
Ecliptic ZDOT -0.00075434 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.45377473 +/- 0.0005
Geocenter to KBO 39.66304146 +/- 0.0005
# Hcoef: 6.37
The following table shows the complete astrometric record for 12SB67. 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 (12SB67) followed by the observatory code and reference code for the source of the astrometry.
2008 11 01.314575 23 54 00.62 +09 55 57.5 22.5V 12SB67 645 C~2VVL 2008 11 01.315404 23 54 00.62 +09 55 57.5 22.0V 12SB67 645 C~2VVL 2008 11 01.317892 23 54 00.62 +09 55 57.3 22.9V 12SB67 645 C~2VVL 2010 06 15.55935 00 12 29.110 +10 57 56.93 22.9G 12SB67 F51 C~2rXu 2010 06 19.54700 00 12 35.846 +10 59 19.42 23.0G 12SB67 F51 C~2rXu 2010 09 16.54655 00 09 34.044 +10 49 37.15 22.0i 12SB67 F51 C~1w3r 2010 09 18.47752 00 09 25.353 +10 48 37.41 21.8G 12SB67 F51 C~2rXu 2011 09 19.37489 00 15 34.265 +11 00 55.12 22.6r 12SB67 F51 C~1w3r 2011 09 19.38876 00 15 34.179 +11 00 54.95 22.2i 12SB67 F51 C~1w3r 2011 09 19.40040 00 15 34.130 +11 00 54.78 22.3i 12SB67 F51 C~1w3r 2012 08 12.61407 00 24 07.549 +11 26 44.21 22.7G 12SB67 F51 C~2rXu 2012 09 26.38054 00 21 11.049 +11 08 59.41 22.6G 12SB67 F51 C~2rXu 2012 09 26.38317 00 21 11.004 +11 08 59.22 21.5i 12SB67 F51 C~1w3r 2012 09 26.49890 00 21 10.483 +11 08 55.74 21.8r 12SB67 F51 C~1w3r 2012 10 09.34062 00 20 12.065 +11 01 35.79 22.5w 12SB67 F51 C~1w3r 2012 10 09.35472 00 20 11.988 +11 01 35.31 22.5w 12SB67 F51 C~1w3r 2012 10 09.36889 00 20 11.919 +11 01 34.77 22.3w 12SB67 F51 C~1w3r 2012 10 09.38320 00 20 11.863 +11 01 34.26 22.2w 12SB67 F51 C~1w3r 2012 11 04.24123 00 18 27.305 +10 46 15.25 22.3w 12SB67 F51 C~1w3r 2012 11 04.25534 00 18 27.258 +10 46 14.73 22.4w 12SB67 F51 C~1w3r 2012 11 04.26945 00 18 27.194 +10 46 14.29 22.4w 12SB67 F51 C~1w3r 2013 08 29.56421 00 29 22.753 +11 33 29.27 22.4G 12SB67 F51 C~2rXu 2013 09 10.49266 00 28 34.943 +11 28 42.88 22.5w 12SB67 F51 C~1w3r 2013 09 10.50706 00 28 34.890 +11 28 42.49 22.5w 12SB67 F51 C~1w3r 2013 09 10.50778 00 28 34.879 +11 28 42.46 22.4w 12SB67 F51 C~1w3r 2013 09 10.52183 00 28 34.803 +11 28 41.85 22.0w 12SB67 F51 C~1w3r 2013 09 10.52250 00 28 34.831 +11 28 42.02 22.6w 12SB67 F51 C~1w3r 2013 09 10.53661 00 28 34.770 +11 28 41.40 22.7w 12SB67 F51 C~1w3r 2013 09 10.53726 00 28 34.750 +11 28 41.66 22.4w 12SB67 F51 C~1w3r 2013 09 16.38986 00 28 09.372 +11 25 57.86 22.8G 12SB67 F51 C~2rXu 2013 10 25.43176 00 25 15.561 +11 03 59.88 21.9i 12SB67 F51 C~1w3r 2014 01 25.22569 00 24 25.118 +10 35 27.55 22.1w 12SB67 F51 C~1w3r 2014 01 25.23620 00 24 25.134 +10 35 28.29 22.5w 12SB67 F51 C~1w3r 2014 06 30.57800 00 37 00.124 +11 47 48.89 23.0G 12SB67 F51 C~2rXu 2014 07 08.62518 00 37 06.368 +11 49 26.04 21.3G 12SB67 F51 C~2rXu 2014 08 28.59756 00 35 37.958 +11 44 52.48 22.3G 12SB67 F51 C~2rXu 2014 09 02.54388 00 35 19.562 +11 43 07.19 22.3G 12SB67 F51 C~2rXu 2014 09 02.55616 00 35 19.526 +11 43 06.92 22.8G 12SB67 F51 C~2rXu 2014 09 02.56846 00 35 19.476 +11 43 06.74 21.7G 12SB67 F51 C~2rXu 2014 09 02.58075 00 35 19.430 +11 43 06.10 22.2G 12SB67 F51 C~2rXu 2014 09 14.39757 00 34 30.996 +11 38 07.76 21.4G 12SB67 F51 C~2rXu 2014 09 14.40943 00 34 30.964 +11 38 07.57 22.7G 12SB67 F51 C~2rXu 2014 09 14.42131 00 34 30.930 +11 38 07.45 22.6G 12SB67 F51 C~2rXu 2014 11 17.21769 00 30 06.863 +11 02 38.18 21.9G 12SB67 F51 C~2rXu 2014 12 09.31709 00 29 24.004 +10 52 44.52 22.7G 12SB67 F51 C~2rXu 2015 09 06.54705 00 41 16.015 +11 52 08.90 22.6G 12SB67 F51 C~2rXu 2015 09 06.55926 00 41 15.961 +11 52 08.60 22.7G 12SB67 F51 C~2rXu 2015 09 06.57146 00 41 15.896 +11 52 08.39 22.3G 12SB67 F51 C~2rXu 2015 09 06.59728 00 41 15.814 +11 52 07.62 22.4G 12SB67 F51 C~2rXu 2015 10 13.31469 00 38 32.985 +11 33 31.09 22.5G 12SB67 F51 C~2rXu 2015 10 13.32831 00 38 32.924 +11 33 30.30 22.4G 12SB67 F51 C~2rXu 2015 10 13.33945 00 38 32.887 +11 33 30.22 22.1G 12SB67 F51 C~2rXu 2015 10 13.35055 00 38 32.842 +11 33 29.66 22.8G 12SB67 F51 C~2rXu 2015 11 18.23286 00 36 13.415 +11 13 05.95 22.7G 12SB67 F51 C~2rXu 2015 11 27.34916 00 35 50.137 +11 08 37.90 23.7G 12SB67 F51 C~2rXu 2016 08 15.51602 00 48 36.502 +12 08 29.39 22.3G 12SB67 F51 C~2rXu 2016 10 06.46293 00 45 12.823 +11 47 11.28 22.5G 12SB67 F51 C~2rXu 2016 10 06.47593 00 45 12.782 +11 47 10.83 22.0G 12SB67 F51 C~2rXu 2016 10 06.48891 00 45 12.727 +11 47 10.52 22.4G 12SB67 F51 C~2rXu 2016 10 06.50197 00 45 12.666 +11 47 10.05 22.3G 12SB67 F51 C~2rXu 2016 10 19.43919 00 44 13.804 +11 39 44.93 22.0G 12SB67 F51 C~2rXu 2016 10 19.46247 00 44 13.712 +11 39 44.24 22.5G 12SB67 F51 C~2rXu 2016 10 26.42026 00 43 43.549 +11 35 41.37 22.3G 12SB67 F51 C~2rXu 2017 08 26.60490 00 54 14.642 +12 15 04.49 22.6G 12SB67 F51 C~2rXu 2017 09 02.45573 00 53 51.284 +12 12 50.67 22.6G 12SB67 F51 C~2rXu 2017 11 22.20700 00 48 18.149 +11 31 01.00 21.7G 12SB67 F51 C~2rXu 2021 09 30.352865 01 16 43.844 +12 33 41.74 22.2w 12SB67 F51 C~55Ka 2021 09 30.367679 01 16 43.776 +12 33 41.43 22.3w 12SB67 F51 C~55Ka 2021 09 30.382948 01 16 43.721 +12 33 40.87 22.2w 12SB67 F51 C~55Ka 2021 09 30.399025 01 16 43.633 +12 33 40.30 22.4w 12SB67 F51 C~55Ka
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 -0.01 0.00 -0.06
2 0.0000 0.00 0.03 0.00 -0.03
3 0.0000 0.00 0.15 0.00 -0.14
4 1.6187 0.00 0.08 0.00 -0.03
5 1.6297 0.00 -0.24 0.00 0.00
6 1.8733 0.00 0.15 0.00 0.30
7 1.8786 0.00 0.24 0.00 -0.18
8 2.8804 0.00 0.15 0.00 -0.25
9 2.8804 0.00 -0.18 0.00 0.01
10 2.8805 0.00 -0.12 0.00 0.19
11 3.7791 0.00 -0.17 0.00 -0.08
12 3.9016 0.00 0.15 0.00 0.06
13 3.9016 0.00 -0.34 0.00 -0.04
14 3.9019 0.00 -0.06 0.00 0.28
15 3.9371 0.00 0.02 0.00 -0.00
16 3.9371 0.00 -0.17 0.00 0.02
17 3.9372 0.00 -0.24 0.00 -0.02
18 3.9372 0.00 -0.09 0.00 -0.03
19 4.0080 0.00 -0.08 0.00 0.20
20 4.0081 0.00 -0.04 0.00 0.16
21 4.0081 0.00 -0.26 0.00 0.20
22 4.8248 0.00 -0.12 0.00 -0.09
23 4.8574 0.00 -0.03 0.00 0.14
24 4.8575 0.00 0.11 0.00 0.14
25 4.8575 0.00 -0.01 0.00 0.13
26 4.8575 0.00 -0.23 0.00 -0.10
27 4.8575 0.00 0.23 0.00 0.08
28 4.8576 0.00 0.23 0.00 -0.16
29 4.8576 0.00 -0.03 0.00 0.12
30 4.8736 0.00 -0.18 0.00 -0.04
31 4.9805 0.00 -0.20 0.00 0.16
32 5.2318 0.00 0.44 0.00 -0.31
33 5.2318 0.00 0.13 0.00 0.36
34 5.6599 0.00 0.20 0.00 0.12
35 5.6819 0.00 -0.31 0.00 -0.05
36 5.8214 0.00 -0.00 0.00 -0.09
37 5.8350 0.00 0.02 0.00 0.03
38 5.8350 0.00 0.21 0.00 0.04
39 5.8351 0.00 0.18 0.00 0.14
40 5.8351 0.00 0.22 0.00 -0.23
41 5.8674 0.00 -0.15 0.00 -0.14
42 5.8675 0.00 0.16 0.00 -0.00
43 5.8675 0.00 0.43 0.00 0.20
44 6.0422 0.00 -0.02 0.00 -0.54
45 6.1027 0.00 -0.02 0.00 -0.12
46 6.8453 0.00 0.12 0.00 -0.06
47 6.8453 0.00 0.05 0.00 -0.07
48 6.8453 0.00 -0.19 0.00 0.01
49 6.8454 0.00 0.14 0.00 -0.14
50 6.9459 0.00 -0.30 0.00 0.27
51 6.9460 0.00 -0.27 0.00 -0.05
52 6.9460 0.00 -0.06 0.00 0.26
53 6.9460 0.00 0.04 0.00 0.08
54 7.0443 0.00 -0.05 0.00 0.15
55 7.0692 0.00 0.02 0.00 -0.46
56 7.7870 0.00 0.08 0.00 -0.25
57 7.9292 0.00 -0.24 0.00 -0.07
58 7.9293 0.00 0.06 0.00 -0.09
59 7.9293 0.00 0.15 0.00 0.04
60 7.9293 0.00 0.15 0.00 0.01
61 7.9647 0.00 -0.08 0.00 -0.24
62 7.9648 0.00 0.11 0.00 -0.11
63 7.9839 0.00 0.11 0.00 0.04
64 8.8167 0.00 0.05 0.00 0.01
65 8.8354 0.00 -0.01 0.00 -0.07
66 9.0565 0.00 0.20 0.00 0.06
67 12.9118 0.00 -0.10 0.00 0.06
68 12.9118 0.00 -0.11 0.00 0.19
69 12.9119 0.00 0.12 0.00 0.09
70 12.9119 0.00 -0.10 0.00 -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.
12SB67 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 47.407 47.407 47.407 ecceobj 0.147 0.147 0.147 incobj 17.885 17.885 17.885 qmin 39.602 39.631 39.578 qmax 54.949 55.002 54.929 amean 47.086 47.086 47.086 amin 46.700 46.698 46.691 amax 47.530 47.542 47.533 emean 0.142 0.142 0.142 emin 0.130 0.130 0.130 emax 0.157 0.157 0.156 imean 18.626 18.626 18.626 imin 18.252 18.252 18.253 imax 18.959 18.960 18.957 excite_mean 0.350 0.350 0.350 fracstop 1.000 1.000 1.000 cjmean 2.985 2.985 2.985 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 181.2 181.2 181.2 kozaiamp 180.0 180.0 180.0