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: 12XW159 # Created Sun Dec 22 02:09:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 89 observations of 89 # Arc: 9.10y # First observation: 2012/01/10 # Last observation: 2021/02/15 # Chi-squared of fit: 47.41 DOF: 172 RMS: 0.13 # Min/Max residuals: -0.46 0.48 # Exact a, adot, b, bdot, g, gdot: 1.834272E-05 4.023923E-02 7.829363E-07 2.926609E-03 3.267581E-02 1.266415E-04 # Covariance matrix: 3.8732E-13 -1.5391E-13 1.7114E-14 -8.8376E-15 -6.1009E-14 -3.4201E-13 -1.5391E-13 7.2982E-14 -9.7260E-15 4.9608E-15 1.8817E-14 1.8476E-13 1.7114E-14 -9.7260E-15 1.4079E-13 -3.2049E-14 -9.3325E-16 -2.8122E-14 -8.8376E-15 4.9608E-15 -3.2049E-14 8.3647E-15 6.4163E-16 1.4301E-14 -6.1009E-14 1.8817E-14 -9.3325E-16 6.4163E-16 4.4367E-14 4.3522E-14 -3.4201E-13 1.8476E-13 -2.8122E-14 1.4301E-14 4.3522E-14 5.2762E-13 # lat0 lon0 xBary yBary zBary JD0 -20.977040 68.236915 -0.649369 -0.264254 -0.689308 2455936.901986 # Heliocentric elements and errors Epoch: 2455936.5000 = 2012/01/10 Mean Anomaly: 5.15858 +/- 0.003 Argument of Peri: 273.98798 +/- 0.005 Long of Asc Node: 146.52242 +/- 0.000 Inclination: 20.97797 +/- 0.000 Eccentricity: 0.21444951 +/- 0.0000 Semi-Major Axis: 39.77741717 +/- 0.0014 Time of Perihelion: 2454623.4504 +/- 0.9 Perihelion: 31.24716953 +/- 0.0015 Aphelion: 48.30766481 +/- 0.0019 Period (y) 250.8783 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.26819208 +/- 0.0001 Ecliptic Y 27.46663585 +/- 0.0002 Ecliptic Z -10.95592987 +/- 0.0001 Ecliptic XDOT -0.00309940 +/- 0.0000 Ecliptic YDOT 0.00134538 +/- 0.0000 Ecliptic ZDOT 0.00022525 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.30308798 +/- 0.0002 Geocenter to KBO 30.60371629 +/- 0.0002 # Hcoef: 7.39
The following table shows the complete astrometric record for 12XW159. 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 (12XW159) followed by the observatory code and reference code for the source of the astrometry.
2012 01 10.40122 04 38 58.147 +00 56 41.17 21.6G 12XW159 F51 C~3466 2012 10 01.61609 04 56 28.447 +01 52 21.41 21.9G 12XW159 F51 C~3466 2012 10 24.56186 04 55 20.372 +01 38 54.35 23.1G 12XW159 F51 C~3466 2012 12 09.37424 04 51 01.140 +01 23 25.94 22.6G 12XW159 F51 C~3466 2012 12 09.38907 04 51 01.036 +01 23 25.94 22.0G 12XW159 F51 C~3466 2012 12 09.40402 04 51 00.929 +01 23 25.74 22.3G 12XW159 F51 C~3466 2013 12 10.38241 05 00 01.149 +01 53 34.25 21.0G 12XW159 F51 C~3466 2013 12 12.44303 04 59 48.065 +01 53 26.36 22.3G 12XW159 F51 C~3466 2014 02 25.27373 04 55 01.360 +02 21 38.56 21.9G 12XW159 F51 C~3466 2014 11 20.51896 05 11 09.136 +02 27 16.25 22.2G 12XW159 F51 C~3466 2014 11 20.53226 05 11 09.065 +02 27 16.00 22.8G 12XW159 F51 C~3466 2014 11 20.54553 05 11 08.973 +02 27 15.85 22.2G 12XW159 F51 C~3466 2014 11 20.55890 05 11 08.907 +02 27 15.43 22.4G 12XW159 F51 C~3466 2014 11 30.42160 05 10 09.089 +02 24 48.32 22.6G 12XW159 F51 C~3466 2014 11 30.43254 05 10 09.006 +02 24 48.02 22.0G 12XW159 F51 C~3466 2014 11 30.44359 05 10 08.949 +02 24 48.57 21.8G 12XW159 F51 C~3466 2015 01 15.37246 05 05 36.610 +02 28 29.21 22.4G 12XW159 F51 C~3466 2015 01 15.38485 05 05 36.551 +02 28 29.52 22.4G 12XW159 F51 C~3466 2015 01 15.39722 05 05 36.485 +02 28 29.72 22.4G 12XW159 F51 C~3466 2015 01 15.40960 05 05 36.426 +02 28 30.13 22.7G 12XW159 F51 C~3466 2015 01 17.36287 05 05 27.296 +02 29 12.78 22.2G 12XW159 F51 C~3466 2015 01 17.37672 05 05 27.233 +02 29 12.96 22.1G 12XW159 F51 C~3466 2015 01 17.39052 05 05 27.161 +02 29 13.39 22.4G 12XW159 F51 C~3466 2015 01 17.40453 05 05 27.108 +02 29 13.79 22.3G 12XW159 F51 C~3466 2015 02 13.27158 05 04 01.524 +02 42 48.59 22.9G 12XW159 F51 C~3466 2015 09 19.56396 05 23 09.472 +03 27 02.34 22.4G 12XW159 F51 C~3466 2015 10 08.52658 05 23 00.455 +03 16 16.39 22.5G 12XW159 F51 C~3466 2015 10 08.53953 05 23 00.434 +03 16 15.89 22.1G 12XW159 F51 C~3466 2015 10 08.55249 05 23 00.412 +03 16 15.46 22.0G 12XW159 F51 C~3466 2015 10 08.56545 05 23 00.383 +03 16 15.03 22.5G 12XW159 F51 C~3466 2015 10 09.52151 05 22 58.740 +03 15 43.00 22.2G 12XW159 F51 C~3466 2015 10 09.53445 05 22 58.694 +03 15 42.60 21.4G 12XW159 F51 C~3466 2015 10 14.52548 05 22 48.298 +03 12 57.46 22.2G 12XW159 F51 C~3466 2015 10 14.53844 05 22 48.265 +03 12 57.14 22.2G 12XW159 F51 C~3466 2015 10 14.55150 05 22 48.221 +03 12 56.46 22.6G 12XW159 F51 C~3466 2015 10 14.56454 05 22 48.201 +03 12 55.93 22.7G 12XW159 F51 C~3466 2015 10 27.51373 05 22 07.858 +03 06 13.90 22.2G 12XW159 F51 C~3467 2015 11 17.47460 05 20 28.245 +02 57 37.23 21.6G 12XW159 F51 C~3467 2015 12 03.45737 05 18 52.999 +02 53 42.90 22.7G 12XW159 F51 C~3467 2015 12 04.40824 05 18 47.058 +02 53 34.14 22.0G 12XW159 F51 C~3467 2015 12 04.42089 05 18 46.987 +02 53 34.14 22.2G 12XW159 F51 C~3467 2015 12 04.43359 05 18 46.896 +02 53 34.06 22.8G 12XW159 F51 C~3467 2015 12 04.44633 05 18 46.812 +02 53 34.04 21.9G 12XW159 F51 C~3467 2015 12 05.40513 05 18 40.784 +02 53 25.73 22.2G 12XW159 F51 C~3467 2015 12 05.41752 05 18 40.700 +02 53 25.63 22.4G 12XW159 F51 C~3467 2015 12 05.42993 05 18 40.620 +02 53 25.40 21.7G 12XW159 F51 C~3467 2015 12 05.44244 05 18 40.525 +02 53 25.41 21.9G 12XW159 F51 C~3467 2015 12 18.43133 05 17 18.022 +02 52 38.01 22.7G 12XW159 F51 C~3467 2015 12 31.46778 05 15 57.702 +02 53 51.96 22.2G 12XW159 F51 C~3467 2016 01 01.39412 05 15 52.233 +02 54 01.95 22.3G 12XW159 F51 C~3467 2016 01 11.40166 05 14 56.306 +02 56 27.08 22.0G 12XW159 F51 C~3467 2016 02 06.33170 05 13 10.057 +03 07 39.77 22.0G 12XW159 F51 C~3467 2016 02 06.34244 05 13 10.025 +03 07 39.97 21.8G 12XW159 F51 C~3467 2016 02 06.35329 05 13 09.993 +03 07 40.34 22.0G 12XW159 F51 C~3467 2016 02 06.36407 05 13 09.961 +03 07 40.65 22.1G 12XW159 F51 C~3467 2016 02 26.24524 05 12 39.496 +03 19 56.34 22.1G 12XW159 F51 C~3467 2016 02 26.25803 05 12 39.519 +03 19 56.98 22.7G 12XW159 F51 C~3467 2016 02 26.27070 05 12 39.535 +03 19 57.79 22.5G 12XW159 F51 C~3467 2016 02 26.28340 05 12 39.512 +03 19 57.82 23.1G 12XW159 F51 C~3467 2016 03 05.25491 05 12 41.459 +03 25 25.66 22.7G 12XW159 F51 C~3467 2016 03 05.26685 05 12 41.467 +03 25 26.23 22.3G 12XW159 F51 C~3467 2016 03 05.27877 05 12 41.480 +03 25 26.71 22.4G 12XW159 F51 C~3467 2016 03 05.29065 05 12 41.481 +03 25 27.08 22.4G 12XW159 F51 C~3467 2016 10 13.59143 05 31 39.925 +03 41 26.12 22.4G 12XW159 F51 C~3467 2016 10 13.60015 05 31 39.910 +03 41 25.84 22.6G 12XW159 F51 C~3467 2016 10 13.60359 05 31 39.891 +03 41 25.61 22.4G 12XW159 F51 C~3467 2016 10 13.61226 05 31 39.870 +03 41 25.50 22.3G 12XW159 F51 C~3467 2016 10 13.61573 05 31 39.854 +03 41 25.33 22.2G 12XW159 F51 C~3467 2016 10 13.62438 05 31 39.845 +03 41 25.03 22.2G 12XW159 F51 C~3467 2016 10 13.62788 05 31 39.834 +03 41 24.99 21.9G 12XW159 F51 C~3467 2016 11 28.53601 05 28 17.746 +03 23 24.40 22.1G 12XW159 F51 C~3467 2016 12 22.36694 05 25 47.704 +03 21 51.11 22.3G 12XW159 F51 C~3467 2016 12 22.37983 05 25 47.620 +03 21 51.16 22.4G 12XW159 F51 C~3467 2016 12 22.39270 05 25 47.535 +03 21 51.20 22.3G 12XW159 F51 C~3467 2016 12 22.40566 05 25 47.458 +03 21 51.27 22.0G 12XW159 F51 C~3467 2017 01 03.35509 05 24 34.614 +03 23 33.39 21.9G 12XW159 F51 C~3467 2017 01 03.36783 05 24 34.540 +03 23 33.89 21.2G 12XW159 F51 C~3467 2017 01 03.38062 05 24 34.462 +03 23 33.88 21.6G 12XW159 F51 C~3467 2017 01 03.39345 05 24 34.395 +03 23 33.99 21.7G 12XW159 F51 C~3467 2017 01 20.39625 05 23 04.456 +03 28 46.11 22.5G 12XW159 F51 C~3467 2017 01 20.40806 05 23 04.396 +03 28 46.45 22.5G 12XW159 F51 C~3467 2017 01 20.41985 05 23 04.340 +03 28 46.68 22.4G 12XW159 F51 C~3467 2017 01 20.43163 05 23 04.294 +03 28 46.97 22.3G 12XW159 F51 C~3467 2017 12 25.41960 05 34 26.933 +03 50 39.28 21.8G 12XW159 F51 C~3467 2017 12 25.43171 05 34 26.848 +03 50 39.14 22.1G 12XW159 F51 C~3467 2017 12 25.44385 05 34 26.783 +03 50 39.47 21.9G 12XW159 F51 C~3467 2017 12 25.45606 05 34 26.680 +03 50 39.40 21.5G 12XW159 F51 C~3467 2021 02 15.214550 05 56 41.537 +05 31 51.18 22.4G 12XW159 G37 C~4Z6s 2021 02 15.267930 05 56 41.398 +05 31 53.05 12XW159 G37 C~4Z6s
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 0.21 0.00 0.16
2 0.7261 0.00 -0.22 0.00 -0.03
3 0.7889 0.00 0.04 0.00 -0.05
4 0.9144 0.00 0.18 0.00 -0.13
5 0.9144 0.00 0.05 0.00 -0.05
6 0.9144 0.00 -0.11 0.00 -0.17
7 1.9164 0.00 0.03 0.00 -0.26
8 1.9221 0.00 -0.07 0.00 -0.24
9 2.1270 0.00 -0.09 0.00 -0.02
10 2.8614 0.00 -0.03 0.00 -0.05
11 2.8614 0.00 0.09 0.00 -0.06
12 2.8614 0.00 -0.10 0.00 0.03
13 2.8615 0.00 0.10 0.00 -0.15
14 2.8885 0.00 0.12 0.00 -0.03
15 2.8885 0.00 -0.08 0.00 -0.20
16 2.8885 0.00 0.11 0.00 0.48
17 3.0143 0.00 0.07 0.00 -0.03
18 3.0143 0.00 0.09 0.00 0.02
19 3.0144 0.00 -0.00 0.00 -0.05
20 3.0144 0.00 0.01 0.00 0.10
21 3.0197 0.00 -0.11 0.00 -0.01
22 3.0198 0.00 -0.08 0.00 -0.14
23 3.0198 0.00 -0.19 0.00 -0.02
24 3.0199 0.00 0.00 0.00 0.06
25 3.0934 0.00 -0.46 0.00 0.22
26 3.6911 0.00 -0.16 0.00 -0.08
27 3.7430 0.00 0.10 0.00 0.03
28 3.7430 0.00 0.12 0.00 -0.04
29 3.7431 0.00 0.14 0.00 -0.03
30 3.7431 0.00 0.05 0.00 -0.03
31 3.7457 0.00 0.07 0.00 0.03
32 3.7457 0.00 -0.26 0.00 0.06
33 3.7594 0.00 -0.06 0.00 0.15
34 3.7594 0.00 -0.07 0.00 0.25
35 3.7595 0.00 -0.24 0.00 -0.01
36 3.7595 0.00 -0.05 0.00 -0.11
37 3.7950 0.00 0.03 0.00 -0.21
38 3.8524 0.00 0.10 0.00 0.18
39 3.8961 0.00 -0.15 0.00 -0.07
40 3.8987 0.00 0.07 0.00 -0.06
41 3.8988 0.00 0.22 0.00 0.05
42 3.8988 0.00 0.07 0.00 0.09
43 3.8988 0.00 0.04 0.00 0.18
44 3.9014 0.00 0.04 0.00 0.07
45 3.9015 0.00 -0.03 0.00 0.07
46 3.9015 0.00 -0.04 0.00 -0.06
47 3.9016 0.00 -0.26 0.00 0.06
48 3.9371 0.00 0.30 0.00 0.08
49 3.9728 0.00 0.00 0.00 0.03
50 3.9753 0.00 -0.19 0.00 0.12
51 4.0027 0.00 -0.15 0.00 -0.04
52 4.0737 0.00 0.01 0.00 0.17
53 4.0738 0.00 -0.01 0.00 0.02
54 4.0738 0.00 -0.02 0.00 0.03
55 4.0738 0.00 -0.04 0.00 -0.02
56 4.1283 0.00 -0.26 0.00 -0.05
57 4.1283 0.00 0.15 0.00 0.08
58 4.1283 0.00 0.47 0.00 0.38
59 4.1284 0.00 0.19 0.00 -0.10
60 4.1502 0.00 -0.08 0.00 -0.02
61 4.1502 0.00 -0.08 0.00 0.05
62 4.1502 0.00 -0.00 0.00 0.03
63 4.1503 0.00 -0.11 0.00 -0.10
64 4.7589 0.00 0.10 0.00 0.03
65 4.7589 0.00 0.17 0.00 0.03
66 4.7589 0.00 0.00 0.00 -0.09
67 4.7590 0.00 -0.02 0.00 0.08
68 4.7590 0.00 -0.15 0.00 0.02
69 4.7590 0.00 0.01 0.00 -0.01
70 4.7590 0.00 -0.04 0.00 0.06
71 4.8847 0.00 0.19 0.00 0.09
72 4.9499 0.00 0.07 0.00 -0.02
73 4.9500 0.00 0.04 0.00 -0.02
74 4.9500 0.00 0.00 0.00 -0.04
75 4.9500 0.00 0.09 0.00 -0.03
76 4.9828 0.00 -0.06 0.00 -0.17
77 4.9828 0.00 -0.03 0.00 0.16
78 4.9828 0.00 -0.06 0.00 -0.01
79 4.9829 0.00 0.08 0.00 -0.06
80 5.0294 0.00 0.09 0.00 -0.05
81 5.0295 0.00 0.03 0.00 0.01
82 5.0295 0.00 0.02 0.00 -0.04
83 5.0295 0.00 0.17 0.00 -0.03
84 5.9576 0.00 0.03 0.00 0.08
85 5.9576 0.00 -0.08 0.00 -0.14
86 5.9577 0.00 0.10 0.00 0.12
87 5.9577 0.00 -0.27 0.00 -0.03
88 9.1001 0.00 -0.10 0.00 -0.20
89 9.1003 0.00 0.12 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.
12XW159 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.902 39.902 39.903 ecceobj 0.216 0.216 0.216 incobj 20.969 20.969 20.969 qmin 27.357 27.356 27.357 qmax 52.099 52.100 52.098 amean 39.454 39.455 39.454 amin 39.038 39.037 39.039 amax 39.956 39.957 39.956 emean 0.255 0.255 0.255 emin 0.194 0.194 0.194 emax 0.304 0.304 0.304 imean 17.439 17.439 17.439 imin 15.226 15.226 15.227 imax 19.831 19.831 19.831 excite_mean 0.395 0.395 0.395 fracstop 1.000 1.000 1.000 cjmean 2.873 2.873 2.873 libcent 0 180.9 180.8 181.0 libamp 0 58.3 58.4 58.2 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 264.6 264.6 264.6 kozaiamp 51.0 51.0 51.0