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: 12UD178 # Created Sat Apr 27 01:14:12 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 55 observations of 55 # Arc: 11.02y # First observation: 2010/10/29 # Last observation: 2021/11/05 # Chi-squared of fit: 42.10 DOF: 104 RMS: 0.15 # Min/Max residuals: -0.37 0.43 # Exact a, adot, b, bdot, g, gdot: 2.058502E-05 3.847320E-02 4.201610E-06 5.805167E-03 3.072773E-02 6.381706E-03 # Covariance matrix: 3.2303E-13 -1.0644E-13 2.7153E-14 -1.2781E-14 1.9701E-14 -2.0459E-13 -1.0644E-13 4.9069E-14 -1.4559E-14 6.8213E-15 2.6909E-14 1.0901E-13 2.7153E-14 -1.4559E-14 1.2637E-13 -2.3892E-14 -1.0487E-14 -3.6118E-14 -1.2781E-14 6.8213E-15 -2.3892E-14 6.0443E-15 4.8021E-15 1.6914E-14 1.9701E-14 2.6909E-14 -1.0487E-14 4.8021E-15 1.4971E-13 7.6119E-14 -2.0459E-13 1.0901E-13 -3.6118E-14 1.6914E-14 7.6119E-14 2.7025E-13 # lat0 lon0 xBary yBary zBary JD0 -1.670247 56.766160 0.349756 -0.027009 -0.926352 2455499.086116 # Heliocentric elements and errors Epoch: 2455498.5000 = 2010/10/29 Mean Anomaly: 11.30144 +/- 0.002 Argument of Peri: 319.21435 +/- 0.003 Long of Asc Node: 66.85291 +/- 0.000 Inclination: 8.68693 +/- 0.000 Eccentricity: 0.42346655 +/- 0.0000 Semi-Major Axis: 55.74998351 +/- 0.0052 Time of Perihelion: 2450725.4401 +/- 1.1 Perihelion: 32.14173031 +/- 0.0039 Aphelion: 79.35823672 +/- 0.0079 Period (y) 416.2702 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 18.63244873 +/- 0.0002 Ecliptic Y 27.79221759 +/- 0.0003 Ecliptic Z -0.94844536 +/- 0.0000 Ecliptic XDOT -0.00254765 +/- 0.0000 Ecliptic YDOT 0.00237309 +/- 0.0000 Ecliptic ZDOT 0.00050044 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.47339705 +/- 0.0003 Geocenter to KBO 32.54381529 +/- 0.0004 # Hcoef: 7.35
The following table shows the complete astrometric record for 12UD178. 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 (12UD178) followed by the observatory code and reference code for the source of the astrometry.
2010 10 29.58535 03 39 29.456 +17 48 29.97 22.2i 12UD178 F51 C~1w3s 2011 12 01.50329 03 44 56.702 +18 28 34.16 22.2r 12UD178 F51 C~1w3s 2011 12 01.51616 03 44 56.615 +18 28 33.85 22.2r 12UD178 F51 C~1w3s 2012 03 14.23785 03 42 19.839 +18 28 53.20 22.4w 12UD178 F51 C~1w3s 2012 10 21.55764 03 57 29.674 +19 25 24.94 22.7w 12UD178 F51 C~1w3s 2012 10 21.57367 03 57 29.604 +19 25 24.56 22.8w 12UD178 F51 C~1w3s 2012 10 21.58975 03 57 29.526 +19 25 24.25 22.6w 12UD178 F51 C~1w3s 2012 10 24.61488 03 57 14.354 +19 24 46.58 22.4G 12UD178 F51 C~2rXv 2012 11 07.40498 03 55 58.417 +19 21 38.23 23.2G 12UD178 F51 C~2rXv 2012 12 10.26976 03 52 41.039 +19 13 36.59 22.2w 12UD178 F51 C~1w3s 2012 12 10.28523 03 52 40.946 +19 13 36.48 22.6w 12UD178 F51 C~1w3s 2012 12 10.31085 03 52 40.787 +19 13 36.10 22.4w 12UD178 F51 C~1w3s 2012 12 10.32638 03 52 40.699 +19 13 35.75 22.5w 12UD178 F51 C~1w3s 2013 03 06.23404 03 50 07.701 +19 12 24.39 23.3G 12UD178 F51 C~2rXv 2013 11 09.51472 04 04 25.757 +20 05 53.04 22.4w 12UD178 F51 C~1w3s 2013 11 09.52980 04 04 25.687 +20 05 53.35 22.2w 12UD178 F51 C~1w3s 2013 11 09.56006 04 04 25.492 +20 05 52.76 22.4w 12UD178 F51 C~1w3s 2013 11 26.33303 04 02 44.150 +20 02 03.48 22.3w 12UD178 F51 C~1w3s 2013 11 26.34831 04 02 44.052 +20 02 03.16 22.5w 12UD178 F51 C~1w3s 2013 11 26.36364 04 02 43.965 +20 02 03.01 22.4w 12UD178 F51 C~1w3s 2013 11 26.37902 04 02 43.859 +20 02 02.70 22.1w 12UD178 F51 C~1w3s 2014 11 17.34556 04 12 16.367 +20 46 51.21 22.2G 12UD178 F51 C~2rXv 2014 11 17.35850 04 12 16.291 +20 46 51.03 22.2G 12UD178 F51 C~2rXv 2014 11 17.37138 04 12 16.204 +20 46 51.04 22.2G 12UD178 F51 C~2rXv 2014 11 17.38424 04 12 16.132 +20 46 50.59 22.0G 12UD178 F51 C~2rXv 2014 11 19.39710 04 12 03.947 +20 46 25.56 22.7G 12UD178 F51 C~2rXv 2014 11 27.50188 04 11 14.307 +20 44 43.47 22.6G 12UD178 F51 C~2rXv 2015 01 06.41452 04 07 35.700 +20 37 23.81 23.0G 12UD178 F51 C~2rXv 2015 01 22.33712 04 06 41.112 +20 35 53.89 22.7G 12UD178 F51 C~2rXv 2015 01 22.35107 04 06 41.089 +20 35 53.75 23.0G 12UD178 F51 C~2rXv 2015 01 22.36504 04 06 41.043 +20 35 53.95 22.7G 12UD178 F51 C~2rXv 2015 01 22.37892 04 06 40.999 +20 35 53.98 22.6G 12UD178 F51 C~2rXv 2015 01 24.31898 04 06 36.216 +20 35 48.06 23.2G 12UD178 F51 C~2rXv 2015 09 19.54179 04 24 41.968 +21 33 16.44 22.5G 12UD178 F51 C~2rXv 2015 10 26.44308 04 22 50.035 +21 30 51.93 22.5G 12UD178 F51 C~2rXv 2015 12 06.45325 04 18 53.596 +21 23 42.55 22.9G 12UD178 F51 C~2rXv 2015 12 06.46679 04 18 53.494 +21 23 42.47 22.7G 12UD178 F51 C~2rXv 2015 12 07.50656 04 18 47.170 +21 23 30.18 22.6G 12UD178 F51 C~2rXv 2015 12 09.45040 04 18 35.423 +21 23 08.24 23.1G 12UD178 F51 C~2rXv 2015 12 09.46317 04 18 35.350 +21 23 08.16 22.8G 12UD178 F51 C~2rXv 2015 12 09.47587 04 18 35.275 +21 23 08.04 22.9G 12UD178 F51 C~2rXv 2015 12 09.48854 04 18 35.163 +21 23 07.77 22.5G 12UD178 F51 C~2rXv 2016 01 08.23763 04 15 57.554 +21 18 15.65 23.4G 12UD178 F51 C~2rXv 2016 01 23.37489 04 15 04.320 +21 16 50.31 22.7G 12UD178 F51 C~2rXv 2016 10 13.51505 04 32 06.516 +22 09 34.06 22.5G 12UD178 F51 C~2rXv 2016 10 26.63007 04 31 12.053 +22 08 24.04 23.8G 12UD178 F51 C~2rXv 2017 10 30.56842 04 39 16.948 +22 43 30.25 22.6G 12UD178 F51 C~2rXv 2017 10 30.58114 04 39 16.890 +22 43 30.09 23.0G 12UD178 F51 C~2rXv 2017 10 30.59378 04 39 16.810 +22 43 30.05 23.1G 12UD178 F51 C~2rXv 2017 10 30.60640 04 39 16.781 +22 43 30.17 22.6G 12UD178 F51 C~2rXv 2017 11 21.36745 04 37 16.767 +22 40 52.27 23.2G 12UD178 F51 C~2rXv 2017 12 22.49747 04 34 08.943 +22 36 08.24 21.4G 12UD178 F51 C~2rXv 2021 11 05.433580 05 11 37.178 +24 43 44.14 22.9G 12UD178 G37 C~5BOb 2021 11 05.475560 05 11 36.980 +24 43 44.36 12UD178 G37 C~5BOb 2021 11 05.516330 05 11 36.776 +24 43 44.27 12UD178 G37 C~5BOb
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 -0.28
2 1.0894 0.00 0.05 0.00 -0.08
3 1.0895 0.00 -0.09 0.00 -0.19
4 1.3734 0.00 0.43 0.00 -0.16
5 1.9794 0.00 -0.14 0.00 0.27
6 1.9794 0.00 0.02 0.00 0.08
7 1.9795 0.00 0.06 0.00 -0.03
8 1.9878 0.00 -0.01 0.00 -0.24
9 2.0255 0.00 0.10 0.00 -0.11
10 2.1155 0.00 0.14 0.00 0.18
11 2.1155 0.00 0.10 0.00 0.28
12 2.1156 0.00 -0.04 0.00 0.24
13 2.1156 0.00 -0.00 0.00 0.09
14 2.3509 0.00 -0.00 0.00 -0.25
15 3.0306 0.00 -0.09 0.00 -0.30
16 3.0306 0.00 0.20 0.00 0.21
17 3.0307 0.00 -0.02 0.00 0.03
18 3.0767 0.00 -0.18 0.00 0.18
19 3.0767 0.00 -0.22 0.00 0.06
20 3.0767 0.00 -0.10 0.00 0.12
21 3.0768 0.00 -0.25 0.00 0.02
22 4.0514 0.00 0.04 0.00 -0.06
23 4.0514 0.00 0.09 0.00 -0.09
24 4.0514 0.00 -0.04 0.00 0.08
25 4.0515 0.00 0.07 0.00 -0.22
26 4.0570 0.00 -0.02 0.00 -0.22
27 4.0792 0.00 -0.18 0.00 0.12
28 4.1884 0.00 -0.02 0.00 0.39
29 4.2320 0.00 -0.06 0.00 -0.04
30 4.2321 0.00 0.16 0.00 -0.13
31 4.2321 0.00 0.03 0.00 0.12
32 4.2322 0.00 -0.08 0.00 0.20
33 4.2375 0.00 -0.13 0.00 0.17
34 4.8897 0.00 0.17 0.00 -0.12
35 4.9907 0.00 0.12 0.00 -0.03
36 5.1030 0.00 0.24 0.00 -0.00
37 5.1030 0.00 -0.03 0.00 0.08
38 5.1059 0.00 -0.03 0.00 -0.27
39 5.1112 0.00 0.03 0.00 -0.02
40 5.1112 0.00 0.11 0.00 0.05
41 5.1113 0.00 0.15 0.00 0.08
42 5.1113 0.00 -0.37 0.00 -0.04
43 5.1928 0.00 -0.18 0.00 -0.20
44 5.2342 0.00 -0.28 0.00 0.01
45 5.9574 0.00 -0.18 0.00 -0.01
46 5.9933 0.00 0.04 0.00 -0.17
47 7.0034 0.00 0.03 0.00 0.03
48 7.0034 0.00 0.10 0.00 -0.06
49 7.0034 0.00 -0.16 0.00 -0.02
50 7.0035 0.00 0.35 0.00 0.17
51 7.0631 0.00 -0.09 0.00 0.13
52 7.1483 0.00 0.23 0.00 0.10
53 11.0194 0.00 -0.00 0.00 -0.23
54 11.0195 0.00 0.05 0.00 0.04
55 11.0197 0.00 -0.08 0.00 -0.01
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.
12UD178 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.161 56.161 56.161 ecceobj 0.427 0.427 0.427 incobj 8.679 8.679 8.679 qmin 31.616 31.615 31.616 qmax 80.652 80.572 80.575 amean 55.462 55.462 55.462 amin 54.739 54.740 54.739 amax 56.425 56.410 56.420 emean 0.418 0.418 0.418 emin 0.407 0.407 0.407 emax 0.429 0.429 0.429 imean 7.640 7.639 7.645 imin 7.359 7.359 7.359 imax 7.895 7.896 7.895 excite_mean 0.439 0.439 0.438 fracstop 1.000 1.000 1.000 cjmean 2.987 2.987 2.987 libcent 0 180.5 180.5 180.5 libamp 0 76.9 76.8 77.0 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 135.9 135.9 135.6 kozaiamp 180.0 180.0 180.0