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: 12HX87 # Created Sun Nov 24 02:09:16 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 84 observations of 84 # Arc: 13.23y # First observation: 2011/04/02 # Last observation: 2024/06/26 # Chi-squared of fit: 91.60 DOF: 162 RMS: 0.18 # Min/Max residuals: -0.74 0.68 # Exact a, adot, b, bdot, g, gdot: 2.265477E-05 3.996259E-02 4.107280E-06 3.845490E-03 2.935251E-02 2.944223E-03 # Covariance matrix: 1.8069E-13 -5.3071E-14 1.0885E-14 -4.5937E-15 1.5493E-14 -8.9800E-14 -5.3071E-14 1.9425E-14 -4.4894E-15 1.8613E-15 -2.1509E-15 3.6720E-14 1.0885E-14 -4.4894E-15 8.0944E-14 -1.2250E-14 1.1554E-15 -9.6804E-15 -4.5937E-15 1.8613E-15 -1.2250E-14 2.4506E-15 -9.9905E-16 4.0900E-15 1.5493E-14 -2.1509E-15 1.1554E-15 -9.9905E-16 6.6694E-14 -1.4381E-14 -8.9800E-14 3.6720E-14 -9.6804E-15 4.0900E-15 -1.4381E-14 7.9905E-14 # lat0 lon0 xBary yBary zBary JD0 -11.845891 -152.587041 0.264038 -0.198774 -0.947490 2455653.968486 # Heliocentric elements and errors Epoch: 2455654.5000 = 2011/04/03 Mean Anomaly: 1.43456 +/- 0.000 Argument of Peri: 285.24291 +/- 0.001 Long of Asc Node: 271.69923 +/- 0.000 Inclination: 12.70345 +/- 0.000 Eccentricity: 0.66460095 +/- 0.0000 Semi-Major Axis: 103.82516829 +/- 0.0152 Time of Perihelion: 2454114.6868 +/- 0.5 Perihelion: 34.82286314 +/- 0.0070 Aphelion: 172.82747344 +/- 0.0257 Period (y) 1057.9428 +/- 0.23 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.57561186 +/- 0.0003 Ecliptic Y -15.56336139 +/- 0.0001 Ecliptic Z -6.99344772 +/- 0.0001 Ecliptic XDOT 0.00141055 +/- 0.0000 Ecliptic YDOT -0.00346061 +/- 0.0000 Ecliptic ZDOT 0.00029470 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.01415673 +/- 0.0002 Geocenter to KBO 34.06861101 +/- 0.0003 # Hcoef: 6.62
The following table shows the complete astrometric record for 12HX87. 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 (12HX87) followed by the observatory code and reference code for the source of the astrometry.
2011 04 02.46772 13 23 35.902 -21 33 58.62 21.3G 12HX87 F51 C~345u 2011 04 03.41092 13 23 30.979 -21 33 33.63 21.6G 12HX87 F51 C~345u 2011 04 03.42216 13 23 30.915 -21 33 33.15 21.5G 12HX87 F51 C~345u 2011 06 28.26693 13 18 13.036 -20 46 14.96 21.9G 12HX87 F51 C~345u 2012 01 26.67091 13 36 17.651 -22 15 13.98 22.2G 12HX87 F51 C~345u 2012 03 15.51762 13 34 27.771 -22 18 15.62 21.4G 12HX87 F51 C~345u 2012 04 24.36099 13 31 03.468 -22 01 31.94 21.7G 12HX87 F51 C~345u 2012 04 24.37576 13 31 03.385 -22 01 31.44 21.6G 12HX87 F51 C~345u 2012 04 24.39054 13 31 03.306 -22 01 30.88 21.7G 12HX87 F51 C~345u 2012 04 24.40535 13 31 03.227 -22 01 30.35 21.9G 12HX87 F51 C~345u 2012 05 10.31233 13 29 43.499 -21 52 06.83 20.7G 12HX87 F51 C~345u 2014 04 10.40089 13 51 21.185 -23 19 57.99 22.0G 12HX87 F51 C~345u 2014 04 10.41282 13 51 21.129 -23 19 57.77 22.1G 12HX87 F51 C~345u 2014 04 10.42472 13 51 21.052 -23 19 57.60 22.1G 12HX87 F51 C~345u 2014 04 10.43663 13 51 20.974 -23 19 57.05 22.8G 12HX87 F51 C~345u 2014 04 30.36318 13 49 33.966 -23 10 08.74 21.8G 12HX87 F51 C~345u 2014 04 30.37399 13 49 33.909 -23 10 08.27 21.9G 12HX87 F51 C~345u 2014 04 30.38480 13 49 33.853 -23 10 08.06 21.8G 12HX87 F51 C~345u 2014 04 30.39557 13 49 33.823 -23 10 08.06 21.8G 12HX87 F51 C~345u 2014 06 01.37505 13 47 06.916 -22 51 36.48 21.8G 12HX87 F51 C~345u 2015 02 01.60157 14 04 10.867 -23 55 10.23 22.5G 12HX87 F51 C~345u 2015 04 23.44040 13 59 42.908 -23 46 08.15 22.0G 12HX87 F51 C~345u 2015 04 23.45197 13 59 42.847 -23 46 07.96 21.6G 12HX87 F51 C~345u 2015 04 23.46349 13 59 42.776 -23 46 07.71 21.7G 12HX87 F51 C~345u 2015 04 23.47503 13 59 42.716 -23 46 07.27 21.4G 12HX87 F51 C~345u 2015 05 21.32194 13 57 20.171 -23 30 55.20 22.1G 12HX87 F51 C~345u 2015 05 21.33405 13 57 20.114 -23 30 54.75 21.9G 12HX87 F51 C~345u 2015 05 21.34624 13 57 20.064 -23 30 54.30 22.0G 12HX87 F51 C~345u 2015 05 21.35837 13 57 20.003 -23 30 53.89 21.8G 12HX87 F51 C~345u 2016 02 14.63545 14 13 26.833 -24 26 35.82 21.6G 12HX87 F51 C~345u 2016 02 14.64694 14 13 26.825 -24 26 35.96 22.1G 12HX87 F51 C~345u 2016 03 05.64764 14 12 50.032 -24 28 26.08 22.5G 12HX87 F51 C~345u 2016 03 07.54520 14 12 44.442 -24 28 23.21 22.1G 12HX87 F51 C~345u 2016 03 07.55550 14 12 44.414 -24 28 23.27 21.9G 12HX87 F51 C~345u 2016 03 07.56581 14 12 44.377 -24 28 23.25 21.9G 12HX87 F51 C~345u 2016 03 07.57615 14 12 44.348 -24 28 23.09 21.9G 12HX87 F51 C~345u 2016 03 10.53724 14 12 34.880 -24 28 13.03 22.3G 12HX87 F51 C~345u 2016 03 10.54917 14 12 34.845 -24 28 12.97 22.7G 12HX87 F51 C~345u 2016 03 10.56111 14 12 34.797 -24 28 12.97 22.0G 12HX87 F51 C~345u 2016 03 10.57304 14 12 34.774 -24 28 12.95 22.4G 12HX87 F51 C~345u 2016 04 11.44951 14 10 12.852 -24 20 40.80 22.0G 12HX87 F51 C~345u 2016 04 11.46049 14 10 12.791 -24 20 40.30 22.3G 12HX87 F51 C~345u 2016 04 11.47146 14 10 12.711 -24 20 40.11 22.1G 12HX87 F51 C~345u 2016 04 11.48243 14 10 12.662 -24 20 39.56 22.0G 12HX87 F51 C~345u 2016 05 02.39951 14 08 20.053 -24 11 08.45 21.7G 12HX87 F51 C~345u 2016 05 02.42274 14 08 19.962 -24 11 07.66 22.3G 12HX87 F51 C~345u 2016 05 02.43438 14 08 19.905 -24 11 07.12 22.0G 12HX87 F51 C~345u 2016 06 11.27196 14 05 21.009 -23 49 11.05 22.0G 12HX87 F51 C~345u 2016 06 11.28228 14 05 20.970 -23 49 10.82 22.4G 12HX87 F51 C~345u 2016 06 11.29269 14 05 20.931 -23 49 10.31 21.1G 12HX87 F51 C~345u 2016 06 11.30349 14 05 20.928 -23 49 09.98 22.6G 12HX87 F51 C~345u 2017 03 29.48847 14 20 45.000 -24 51 39.27 22.0G 12HX87 F51 C~345u 2017 03 29.49941 14 20 44.940 -24 51 39.01 22.1G 12HX87 F51 C~345u 2017 03 29.51042 14 20 44.899 -24 51 38.75 21.4G 12HX87 F51 C~345u 2017 03 29.52140 14 20 44.830 -24 51 39.08 22.0G 12HX87 F51 C~345u 2017 05 04.39497 14 17 38.304 -24 37 47.97 21.4G 12HX87 F51 C~345u 2017 05 04.40596 14 17 38.225 -24 37 47.73 21.9G 12HX87 F51 C~345u 2017 05 04.41693 14 17 38.160 -24 37 47.10 22.2G 12HX87 F51 C~345u 2017 05 04.42789 14 17 38.083 -24 37 46.84 23.3G 12HX87 F51 C~345u 2017 05 18.31865 14 16 25.898 -24 30 30.17 21.8G 12HX87 F51 C~345u 2017 05 18.33039 14 16 25.826 -24 30 29.67 22.0G 12HX87 F51 C~345u 2017 05 18.34213 14 16 25.764 -24 30 29.52 22.5G 12HX87 F51 C~345u 2017 05 18.35385 14 16 25.697 -24 30 29.04 22.1G 12HX87 F51 C~345u 2017 05 21.35274 14 16 11.050 -24 28 50.97 22.1G 12HX87 F51 C~345u 2017 05 21.36285 14 16 10.994 -24 28 50.69 22.1G 12HX87 F51 C~345u 2017 05 21.37297 14 16 10.950 -24 28 50.45 22.6G 12HX87 F51 C~345u 2017 05 21.38308 14 16 10.900 -24 28 49.88 22.1G 12HX87 F51 C~345u 2018 02 11.61936 14 31 57.064 -25 15 04.05 22.8G 12HX87 F51 C~345u 2018 02 12.62029 14 31 57.103 -25 15 18.79 22.4G 12HX87 F51 C~345u 2018 02 12.63129 14 31 57.109 -25 15 18.93 22.2G 12HX87 F51 C~345u 2018 02 12.64230 14 31 57.098 -25 15 19.14 22.1G 12HX87 F51 C~345u 2018 02 12.65332 14 31 57.071 -25 15 19.37 22.0G 12HX87 F51 C~345u 2018 02 13.65256 14 31 57.051 -25 15 33.44 21.9G 12HX87 F51 C~345u 2018 02 13.66014 14 31 57.016 -25 15 33.41 21.9G 12HX87 F51 C~345u 2018 05 20.45199 14 25 40.087 -24 54 53.96 22.7G 12HX87 F51 C~345u 2020 05 15.36827 14 44 39.223 -25 40 32.22 22.1w 12HX87 F51 C~3srH 2020 05 15.37871 14 44 39.155 -25 40 31.89 21.9w 12HX87 F51 C~3srH 2020 05 15.38908 14 44 39.129 -25 40 31.79 22.1w 12HX87 F51 C~3srH 2022 06 04.348409 15 01 12.537 -26 05 07.27 21.9w 12HX87 F52 C~5fhV 2022 06 04.368715 15 01 12.427 -26 05 06.64 22.0w 12HX87 F52 C~5fhV 2022 06 04.378938 15 01 12.391 -26 05 06.42 21.9w 12HX87 F52 C~5fhV 2024 06 26.289587 15 17 18.732 -26 20 18.90 22.2w 12HX87 F51 C~86lN 2024 06 26.301912 15 17 18.721 -26 20 18.19 22.1w 12HX87 F51 C~86lN 2024 06 26.314240 15 17 18.644 -26 20 17.87 22.4w 12HX87 F51 C~86lN
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 -0.40 0.00 -0.30
2 0.0026 0.00 0.07 0.00 -0.03
3 0.0026 0.00 0.02 0.00 0.15
4 0.2376 0.00 0.37 0.00 0.34
5 0.8192 0.00 -0.10 0.00 0.14
6 0.9529 0.00 0.68 0.00 -0.74
7 1.0620 0.00 0.01 0.00 -0.06
8 1.0620 0.00 -0.04 0.00 -0.05
9 1.0621 0.00 -0.03 0.00 0.01
10 1.0621 0.00 -0.02 0.00 0.04
11 1.1057 0.00 0.04 0.00 0.28
12 3.0224 0.00 -0.11 0.00 0.05
13 3.0224 0.00 0.02 0.00 -0.03
14 3.0225 0.00 -0.17 0.00 -0.16
15 3.0225 0.00 -0.38 0.00 0.09
16 3.0771 0.00 -0.17 0.00 0.12
17 3.0771 0.00 -0.15 0.00 0.23
18 3.0771 0.00 -0.11 0.00 0.09
19 3.0771 0.00 0.31 0.00 -0.26
20 3.1647 0.00 -0.04 0.00 0.17
21 3.8361 0.00 0.09 0.00 0.12
22 4.0574 0.00 0.03 0.00 0.15
23 4.0575 0.00 0.07 0.00 -0.00
24 4.0575 0.00 -0.04 0.00 -0.09
25 4.0575 0.00 0.02 0.00 0.01
26 4.1338 0.00 -0.05 0.00 -0.00
27 4.1338 0.00 -0.06 0.00 0.03
28 4.1338 0.00 0.05 0.00 0.06
29 4.1339 0.00 -0.02 0.00 0.05
30 4.8711 0.00 0.05 0.00 0.05
31 4.8711 0.00 0.07 0.00 0.05
32 4.9259 0.00 -0.45 0.00 0.41
33 4.9311 0.00 -0.01 0.00 -0.03
34 4.9311 0.00 0.06 0.00 -0.12
35 4.9311 0.00 -0.01 0.00 -0.12
36 4.9312 0.00 0.05 0.00 0.01
37 4.9393 0.00 -0.06 0.00 0.04
38 4.9393 0.00 0.03 0.00 0.05
39 4.9393 0.00 -0.07 0.00 -0.01
40 4.9394 0.00 0.20 0.00 -0.04
41 5.0266 0.00 0.15 0.00 -0.09
42 5.0267 0.00 0.12 0.00 0.16
43 5.0267 0.00 -0.20 0.00 0.09
44 5.0267 0.00 -0.05 0.00 0.39
45 5.0840 0.00 -0.47 0.00 -0.42
46 5.0841 0.00 0.07 0.00 -0.35
47 5.0841 0.00 0.17 0.00 -0.17
48 5.1932 0.00 -0.15 0.00 0.02
49 5.1932 0.00 -0.23 0.00 -0.08
50 5.1932 0.00 -0.31 0.00 0.10
51 5.1933 0.00 0.18 0.00 0.08
52 5.9905 0.00 0.01 0.00 -0.07
53 5.9905 0.00 -0.12 0.00 0.03
54 5.9905 0.00 0.03 0.00 0.13
55 5.9906 0.00 -0.23 0.00 -0.36
56 6.0888 0.00 0.52 0.00 -0.08
57 6.0888 0.00 0.24 0.00 -0.17
58 6.0888 0.00 0.16 0.00 0.13
59 6.0889 0.00 -0.09 0.00 0.06
60 6.1269 0.00 0.21 0.00 -0.07
61 6.1269 0.00 0.02 0.00 0.05
62 6.1270 0.00 -0.02 0.00 -0.18
63 6.1270 0.00 -0.13 0.00 -0.08
64 6.1352 0.00 0.04 0.00 -0.03
65 6.1352 0.00 -0.06 0.00 -0.08
66 6.1353 0.00 0.03 0.00 -0.17
67 6.1353 0.00 0.03 0.00 0.07
68 6.8642 0.00 0.04 0.00 0.09
69 6.8669 0.00 -0.05 0.00 0.06
70 6.8670 0.00 0.06 0.00 0.08
71 6.8670 0.00 -0.08 0.00 0.03
72 6.8670 0.00 -0.47 0.00 -0.05
73 6.8698 0.00 0.40 0.00 -0.03
74 6.8698 0.00 -0.10 0.00 0.10
75 7.1321 0.00 0.22 0.00 0.22
76 9.1195 0.00 0.01 0.00 -0.07
77 9.1195 0.00 -0.16 0.00 -0.03
78 9.1196 0.00 0.30 0.00 -0.22
79 11.1728 0.00 0.04 0.00 0.11
80 11.1729 0.00 -0.14 0.00 0.17
81 11.1729 0.00 0.06 0.00 0.10
82 13.2343 0.00 -0.20 0.00 -0.30
83 13.2343 0.00 0.30 0.00 0.10
84 13.2344 0.00 -0.18 0.00 0.11
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.
12HX87 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 103.267 103.267 103.268 ecceobj 0.663 0.663 0.663 incobj 12.702 12.702 12.702 qmin 33.581 33.592 33.603 qmax 182.490 181.624 181.634 amean 104.869 104.867 104.868 amin 102.718 102.757 102.596 amax 108.493 108.096 108.186 emean 0.669 0.669 0.669 emin 0.659 0.659 0.659 emax 0.682 0.681 0.680 imean 13.751 13.754 13.762 imin 13.161 13.194 13.230 imax 14.311 14.311 14.311 excite_mean 0.710 0.710 0.710 fracstop 1.000 1.000 1.000 cjmean 2.981 2.981 2.981 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 320.3 315.6 304.7 kozaiamp 36.0 180.0 180.0