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: 12HW87 # Created Fri Apr 26 01:14:03 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 88 observations of 88 # Arc: 7.18y # First observation: 2011/04/28 # Last observation: 2018/07/04 # Chi-squared of fit: 79.58 DOF: 170 RMS: 0.17 # Min/Max residuals: -0.76 0.58 # Exact a, adot, b, bdot, g, gdot: 2.137738E-05 4.462586E-02 -2.122658E-06 -4.500682E-03 3.168815E-02 7.489956E-04 # Covariance matrix: 3.5193E-13 -1.6199E-13 -2.4452E-14 1.4799E-14 -5.0415E-15 -4.0457E-13 -1.6199E-13 8.9934E-14 1.5198E-14 -9.0332E-15 1.7029E-14 2.4686E-13 -2.4452E-14 1.5198E-14 1.2754E-13 -2.8448E-14 3.7527E-15 4.4943E-14 1.4799E-14 -9.0332E-15 -2.8448E-14 7.6434E-15 -1.4514E-15 -2.6845E-14 -5.0415E-15 1.7029E-14 3.7527E-15 -1.4514E-15 6.9720E-14 3.9265E-14 -4.0457E-13 2.4686E-13 4.4943E-14 -2.6845E-14 3.9265E-14 7.3368E-13 # lat0 lon0 xBary yBary zBary JD0 13.338173 -120.184933 0.382011 0.215630 -0.909726 2455680.022716 # Heliocentric elements and errors Epoch: 2455680.5000 = 2011/04/29 Mean Anomaly: 0.11561 +/- 0.000 Argument of Peri: 112.25464 +/- 0.003 Long of Asc Node: 125.54570 +/- 0.000 Inclination: 14.09323 +/- 0.000 Eccentricity: 0.64415973 +/- 0.0000 Semi-Major Axis: 91.24115151 +/- 0.0115 Time of Perihelion: 2455578.2734 +/- 0.4 Perihelion: 32.46727594 +/- 0.0056 Aphelion: 150.01502708 +/- 0.0193 Period (y) 871.5541 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -16.23459488 +/- 0.0001 Ecliptic Y -27.15917481 +/- 0.0002 Ecliptic Z 7.28024323 +/- 0.0001 Ecliptic XDOT 0.00325420 +/- 0.0000 Ecliptic YDOT -0.00206463 +/- 0.0000 Ecliptic ZDOT -0.00036341 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.46820863 +/- 0.0002 Geocenter to KBO 31.55756343 +/- 0.0003 # Hcoef: 7.57
The following table shows the complete astrometric record for 12HW87. 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 (12HW87) followed by the observatory code and reference code for the source of the astrometry.
2011 04 28.52195 16 01 51.405 -07 03 35.25 21.2G 12HW87 F51 C~345t 2011 05 14.52255 16 00 25.671 -06 58 04.10 22.0G 12HW87 F51 C~345t 2012 04 21.49294 16 12 13.685 -07 51 30.30 22.0G 12HW87 F51 C~345u 2012 04 27.54124 16 11 45.322 -07 49 13.25 22.5G 12HW87 F51 C~345u 2012 06 13.35197 16 07 27.911 -07 38 16.65 22.5G 12HW87 F51 C~345u 2013 03 19.63347 16 23 37.446 -08 48 33.04 22.3G 12HW87 F51 C~345u 2013 05 31.38767 16 18 35.705 -08 24 47.51 22.4G 12HW87 F51 C~345u 2013 06 09.36793 16 17 44.852 -08 23 37.68 22.4G 12HW87 F51 C~345u 2013 06 09.38186 16 17 44.775 -08 23 37.43 22.8G 12HW87 F51 C~345u 2013 06 09.39580 16 17 44.685 -08 23 37.41 22.7G 12HW87 F51 C~345u 2013 06 16.42196 16 17 06.408 -08 23 08.95 21.6G 12HW87 F51 C~345u 2013 06 18.31641 16 16 56.414 -08 23 05.67 23.1G 12HW87 F51 C~345u 2013 06 18.32721 16 16 56.350 -08 23 05.61 23.4G 12HW87 F51 C~345u 2013 07 02.32586 16 15 48.596 -08 23 36.51 22.6G 12HW87 F51 C~345u 2013 07 02.33910 16 15 48.529 -08 23 36.53 22.9G 12HW87 F51 C~345u 2013 07 02.35237 16 15 48.466 -08 23 36.68 22.4G 12HW87 F51 C~345u 2013 07 02.36560 16 15 48.413 -08 23 36.64 22.3G 12HW87 F51 C~345u 2014 04 04.58582 16 32 56.492 -09 25 29.01 23.1G 12HW87 F51 C~345u 2014 05 01.46911 16 31 15.380 -09 16 05.15 22.6G 12HW87 F51 C~345u 2014 05 05.48368 16 30 55.504 -09 14 49.97 23.0G 12HW87 F51 C~345u 2014 05 07.49907 16 30 45.167 -09 14 14.49 22.3G 12HW87 F51 C~345u 2014 05 07.51173 16 30 45.106 -09 14 14.29 22.4G 12HW87 F51 C~345u 2014 05 07.52442 16 30 45.037 -09 14 14.04 22.2G 12HW87 F51 C~345u 2014 05 07.53708 16 30 44.967 -09 14 13.82 21.8G 12HW87 F51 C~345u 2014 06 06.41022 16 27 57.657 -09 07 54.85 22.7G 12HW87 F51 C~345u 2014 07 26.31748 16 24 14.675 -09 11 56.11 22.4G 12HW87 F51 C~345u 2014 07 26.32937 16 24 14.646 -09 11 56.24 22.4G 12HW87 F51 C~345u 2014 07 26.34122 16 24 14.616 -09 11 56.47 23.1G 12HW87 F51 C~345u 2014 08 14.25808 16 23 46.925 -09 18 28.48 22.7G 12HW87 F51 C~345u 2015 02 27.60169 16 42 47.434 -10 18 18.38 22.4G 12HW87 F51 C~345u 2015 02 27.62428 16 42 47.494 -10 18 17.71 22.4G 12HW87 F51 C~345u 2015 02 27.63559 16 42 47.512 -10 18 17.67 23.3G 12HW87 F51 C~345u 2015 03 31.59213 16 42 52.522 -10 08 33.48 22.2G 12HW87 F51 C~345u 2015 03 31.60501 16 42 52.477 -10 08 33.28 22.2G 12HW87 F51 C~345u 2015 03 31.61793 16 42 52.462 -10 08 32.92 22.4G 12HW87 F51 C~345u 2015 04 23.55801 16 41 43.970 -10 00 50.45 22.7G 12HW87 F51 C~345u 2015 04 23.57076 16 41 43.906 -10 00 50.15 22.5G 12HW87 F51 C~345u 2015 04 23.58342 16 41 43.862 -10 00 49.95 23.2G 12HW87 F51 C~345u 2015 04 23.59607 16 41 43.830 -10 00 49.64 22.5G 12HW87 F51 C~345u 2015 04 24.59095 16 41 39.722 -10 00 30.60 22.9G 12HW87 F51 C~345u 2015 04 24.60403 16 41 39.664 -10 00 30.65 21.4G 12HW87 F51 C~345u 2015 04 24.61708 16 41 39.573 -10 00 29.80 22.8G 12HW87 F51 C~345u 2015 05 21.48348 16 39 25.082 -09 53 13.87 22.3G 12HW87 F51 C~345u 2015 05 21.49585 16 39 24.975 -09 53 14.09 21.9G 12HW87 F51 C~345u 2015 05 22.48505 16 39 19.450 -09 53 01.59 21.9G 12HW87 F51 C~345u 2015 05 22.49763 16 39 19.359 -09 53 01.56 22.7G 12HW87 F51 C~345u 2015 05 22.51021 16 39 19.286 -09 53 01.38 22.3G 12HW87 F51 C~345u 2015 05 22.52276 16 39 19.206 -09 53 01.20 22.6G 12HW87 F51 C~345u 2015 06 10.37046 16 37 31.254 -09 50 17.24 23.0G 12HW87 F51 C~345u 2015 06 10.38287 16 37 31.189 -09 50 17.63 22.6G 12HW87 F51 C~345u 2015 06 13.44404 16 37 13.879 -09 50 04.27 22.3G 12HW87 F51 C~345u 2015 06 13.45671 16 37 13.799 -09 50 04.48 22.1G 12HW87 F51 C~345u 2015 06 15.34557 16 37 03.230 -09 49 58.49 22.3G 12HW87 F51 C~345u 2015 06 15.35809 16 37 03.165 -09 49 58.27 22.2G 12HW87 F51 C~345u 2015 06 15.37060 16 37 03.088 -09 49 58.31 22.4G 12HW87 F51 C~345u 2015 06 15.38315 16 37 03.016 -09 49 58.39 22.5G 12HW87 F51 C~345u 2015 06 23.40837 16 36 19.442 -09 49 50.39 22.4G 12HW87 F51 C~345u 2015 06 23.42028 16 36 19.394 -09 49 50.51 22.1G 12HW87 F51 C~345u 2015 06 23.43224 16 36 19.330 -09 49 50.27 21.9G 12HW87 F51 C~345u 2016 04 03.56727 16 52 30.808 -10 47 29.89 22.6G 12HW87 F51 C~345u 2016 04 15.51922 16 51 59.810 -10 43 42.73 22.4G 12HW87 F51 C~345u 2016 04 15.53120 16 51 59.783 -10 43 42.56 22.6G 12HW87 F51 C~345u 2016 04 15.54317 16 51 59.742 -10 43 42.35 22.4G 12HW87 F51 C~345u 2016 04 15.55513 16 51 59.698 -10 43 42.23 22.3G 12HW87 F51 C~345u 2016 05 02.50632 16 50 52.600 -10 38 42.87 22.2G 12HW87 F51 C~345u 2016 05 02.53032 16 50 52.453 -10 38 41.93 22.6G 12HW87 F51 C~345u 2016 05 02.54221 16 50 52.419 -10 38 41.87 22.5G 12HW87 F51 C~345u 2016 05 30.44888 16 48 23.716 -10 32 47.48 21.7G 12HW87 F51 C~345u 2016 05 30.45922 16 48 23.645 -10 32 47.66 22.3G 12HW87 F51 C~345u 2016 05 30.46954 16 48 23.558 -10 32 47.62 22.1G 12HW87 F51 C~345u 2016 05 30.47987 16 48 23.508 -10 32 47.21 22.8G 12HW87 F51 C~345u 2016 06 05.45386 16 47 49.053 -10 32 04.22 22.3G 12HW87 F51 C~345u 2016 06 05.46523 16 47 48.989 -10 32 04.09 22.8G 12HW87 F51 C~345u 2016 06 05.47663 16 47 48.920 -10 32 04.05 22.6G 12HW87 F51 C~345u 2016 06 05.48808 16 47 48.850 -10 32 03.74 23.0G 12HW87 F51 C~345u 2016 06 07.40621 16 47 37.796 -10 31 52.98 22.7G 12HW87 F51 C~345u 2016 06 28.43186 16 45 42.099 -10 31 30.84 22.8G 12HW87 F51 C~345u 2017 05 21.44533 16 59 07.951 -11 13 59.98 22.3G 12HW87 F51 C~345u 2017 06 24.42142 16 55 55.598 -11 11 20.97 23.2G 12HW87 F51 C~345u 2017 07 15.30433 16 54 14.405 -11 13 25.65 24.0G 12HW87 F51 C~345u 2017 07 15.31655 16 54 14.335 -11 13 25.93 22.3G 12HW87 F51 C~345u 2018 06 08.41671 17 07 16.986 -11 50 02.85 23.1G 12HW87 F51 C~345u 2018 06 08.44160 17 07 16.823 -11 50 02.59 23.7G 12HW87 F51 C~345u 2018 06 08.45404 17 07 16.759 -11 50 02.82 22.8G 12HW87 F51 C~345u 2018 07 04.34419 17 04 53.538 -11 50 24.12 22.6G 12HW87 F51 C~345u 2018 07 04.35568 17 04 53.491 -11 50 24.07 23.1G 12HW87 F51 C~345u 2018 07 04.36727 17 04 53.441 -11 50 24.26 22.7G 12HW87 F51 C~345u 2018 07 04.37881 17 04 53.376 -11 50 24.47 22.9G 12HW87 F51 C~345u
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 0.18 0.00 -0.06
2 0.0438 0.00 -0.16 0.00 0.02
3 0.9828 0.00 0.11 0.00 -0.05
4 0.9994 0.00 0.06 0.00 -0.05
5 1.1275 0.00 0.14 0.00 -0.09
6 1.8922 0.00 -0.76 0.00 0.19
7 2.0914 0.00 0.13 0.00 0.27
8 2.1159 0.00 0.11 0.00 -0.10
9 2.1160 0.00 0.14 0.00 0.07
10 2.1160 0.00 -0.02 0.00 0.01
11 2.1352 0.00 0.26 0.00 0.22
12 2.1404 0.00 0.02 0.00 0.04
13 2.1405 0.00 -0.07 0.00 0.09
14 2.1788 0.00 0.04 0.00 -0.17
15 2.1788 0.00 -0.07 0.00 -0.11
16 2.1789 0.00 -0.12 0.00 -0.19
17 2.1789 0.00 -0.02 0.00 -0.07
18 2.9352 0.00 -0.07 0.00 0.09
19 3.0088 0.00 0.22 0.00 0.07
20 3.0197 0.00 0.23 0.00 0.58
21 3.0253 0.00 -0.07 0.00 0.06
22 3.0253 0.00 0.02 0.00 0.04
23 3.0253 0.00 -0.01 0.00 0.06
24 3.0254 0.00 -0.06 0.00 0.06
25 3.1072 0.00 -0.00 0.00 0.08
26 3.2438 0.00 -0.02 0.00 -0.05
27 3.2438 0.00 0.00 0.00 0.02
28 3.2439 0.00 0.02 0.00 -0.01
29 3.2956 0.00 0.06 0.00 -0.13
30 3.8359 0.00 -0.31 0.00 -0.36
31 3.8360 0.00 -0.11 0.00 -0.03
32 3.8360 0.00 -0.19 0.00 -0.16
33 3.9235 0.00 0.26 0.00 0.01
34 3.9236 0.00 -0.05 0.00 -0.05
35 3.9236 0.00 0.09 0.00 0.05
36 3.9864 0.00 0.17 0.00 -0.09
37 3.9864 0.00 0.01 0.00 -0.04
38 3.9865 0.00 0.14 0.00 -0.08
39 3.9865 0.00 0.45 0.00 -0.02
40 3.9892 0.00 0.24 0.00 -0.06
41 3.9893 0.00 0.21 0.00 -0.37
42 3.9893 0.00 -0.32 0.00 0.23
43 4.0629 0.00 0.17 0.00 0.19
44 4.0629 0.00 -0.37 0.00 -0.19
45 4.0656 0.00 0.27 0.00 0.10
46 4.0656 0.00 -0.01 0.00 -0.03
47 4.0657 0.00 -0.02 0.00 -0.00
48 4.0657 0.00 -0.14 0.00 0.02
49 4.1173 0.00 -0.14 0.00 0.41
50 4.1173 0.00 -0.04 0.00 -0.04
51 4.1257 0.00 0.15 0.00 0.22
52 4.1258 0.00 0.04 0.00 -0.03
53 4.1309 0.00 -0.10 0.00 -0.10
54 4.1310 0.00 -0.01 0.00 0.09
55 4.1310 0.00 -0.10 0.00 0.02
56 4.1310 0.00 -0.11 0.00 -0.10
57 4.1530 0.00 -0.38 0.00 -0.05
58 4.1530 0.00 -0.14 0.00 -0.16
59 4.1531 0.00 -0.14 0.00 0.09
60 4.9337 0.00 0.11 0.00 -0.04
61 4.9665 0.00 -0.19 0.00 0.10
62 4.9665 0.00 0.00 0.00 0.04
63 4.9665 0.00 -0.02 0.00 0.03
64 4.9666 0.00 -0.08 0.00 -0.07
65 5.0130 0.00 0.17 0.00 -0.47
66 5.0130 0.00 -0.33 0.00 0.08
67 5.0131 0.00 0.01 0.00 -0.05
68 5.0895 0.00 0.55 0.00 0.09
69 5.0895 0.00 0.39 0.00 -0.18
70 5.0895 0.00 -0.00 0.00 -0.23
71 5.0895 0.00 0.15 0.00 0.10
72 5.1059 0.00 -0.00 0.00 -0.12
73 5.1059 0.00 0.04 0.00 -0.06
74 5.1060 0.00 0.01 0.00 -0.09
75 5.1060 0.00 -0.03 0.00 0.15
76 5.1113 0.00 -0.17 0.00 -0.07
77 5.1688 0.00 -0.08 0.00 0.00
78 6.0641 0.00 -0.03 0.00 -0.05
79 6.1572 0.00 -0.03 0.00 0.07
80 6.2143 0.00 0.14 0.00 0.02
81 6.2144 0.00 -0.13 0.00 -0.13
82 7.1126 0.00 0.07 0.00 0.03
83 7.1127 0.00 -0.18 0.00 0.19
84 7.1128 0.00 -0.05 0.00 -0.09
85 7.1836 0.00 -0.20 0.00 0.12
86 7.1837 0.00 -0.02 0.00 0.24
87 7.1837 0.00 0.13 0.00 0.11
88 7.1837 0.00 0.05 0.00 -0.03
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.
12HW87 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 90.261 90.260 90.262 ecceobj 0.640 0.640 0.640 incobj 14.098 14.098 14.098 qmin 31.353 30.949 31.455 qmax 208.349 162.222 168.110 amean 105.330 91.163 91.956 amin 90.204 84.751 86.270 amax 120.321 97.310 100.680 emean 0.688 0.645 0.643 emin 0.637 0.606 0.612 emax 0.732 0.667 0.670 imean 12.351 12.024 13.307 imin 10.432 9.527 11.710 imax 13.933 14.727 15.010 excite_mean 0.721 0.678 0.683 fracstop 1.000 1.000 1.000 cjmean 2.932 2.931 2.931 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 177.5 196.9 179.3 kozaiamp 179.9 179.9 180.0