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: 13UR22 # Created Wed Dec 25 02:09:45 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 60 observations of 60 # Arc: 5.83y # First observation: 2013/08/11 # Last observation: 2019/06/09 # Chi-squared of fit: 53.61 DOF: 114 RMS: 0.17 # Min/Max residuals: -0.96 0.40 # Exact a, adot, b, bdot, g, gdot: 1.228392E-05 1.891892E-02 9.801928E-07 -1.002195E-04 2.147502E-02 1.125107E-03 # Covariance matrix: 1.0648E-13 -2.8427E-14 3.7700E-16 -8.9143E-17 5.6844E-14 -1.1330E-13 -2.8427E-14 6.5566E-14 3.0395E-16 -3.3669E-16 3.1997E-14 6.5694E-13 3.7700E-16 3.0395E-16 4.8685E-14 -1.3359E-14 7.1772E-16 3.9101E-15 -8.9143E-17 -3.3669E-16 -1.3359E-14 7.3540E-15 -3.9811E-16 -3.9853E-15 5.6844E-14 3.1997E-14 7.1772E-16 -3.9811E-16 9.6288E-14 4.2969E-13 -1.1330E-13 6.5694E-13 3.9101E-15 -3.9853E-15 4.2969E-13 7.4733E-12 # lat0 lon0 xBary yBary zBary JD0 -1.414351 14.656690 0.841235 -0.013992 -0.568126 2456516.004448 # Heliocentric elements and errors Epoch: 2456516.5000 = 2013/08/12 Mean Anomaly: 148.57282 +/- 0.090 Argument of Peri: 103.77927 +/- 0.089 Long of Asc Node: 116.90381 +/- 0.010 Inclination: 1.43525 +/- 0.000 Eccentricity: 0.07976831 +/- 0.0001 Semi-Major Axis: 44.07295195 +/- 0.0021 Time of Perihelion: 2412410.9233 +/- 26.9 Perihelion: 40.55732711 +/- 0.0034 Aphelion: 47.58857679 +/- 0.0036 Period (y) 292.5947 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.79913707 +/- 0.0007 Ecliptic Y 11.11177395 +/- 0.0002 Ecliptic Z -1.14927869 +/- 0.0000 Ecliptic XDOT -0.00047809 +/- 0.0000 Ecliptic YDOT 0.00236879 +/- 0.0000 Ecliptic ZDOT -0.00001617 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.14181726 +/- 0.0006 Geocenter to KBO 46.56572411 +/- 0.0007 # Hcoef: 7.74
The following table shows the complete astrometric record for 13UR22. 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 (13UR22) followed by the observatory code and reference code for the source of the astrometry.
2013 08 11.50367 00 56 10.087 +04 28 19.17 24.5r 13UR22 568 C~2lTk 2013 08 30.42008 00 55 22.288 +04 22 51.50 24.4r 13UR22 568 C~2lTk 2013 08 31.42413 00 55 19.189 +04 22 31.00 24.5r 13UR22 568 C~2lTk 2013 08 31.46730 00 55 19.059 +04 22 29.81 24.4r 13UR22 568 C~2lTk 2013 09 04.44707 00 55 06.287 +04 21 05.28 24.2r 13UR22 568 C~2lTk 2013 10 05.37122 00 53 08.996 +04 08 29.52 24.7r 13UR22 568 C~2lTk 2013 10 06.37972 00 53 04.877 +04 08 03.64 24.2r 13UR22 568 C~2lTk 2013 10 06.44410 00 53 04.606 +04 08 02.12 24.1r 13UR22 568 C~2lTk 2013 10 09.50414 00 52 52.149 +04 06 43.92 24.2r 13UR22 568 C~2lTk 2013 10 31.22708 00 51 26.915 +03 57 56.96 24.2r 13UR22 568 C~2lTk 2013 10 31.27019 00 51 26.763 +03 57 55.99 24.4r 13UR22 568 C~2lTk 2013 10 31.31297 00 51 26.594 +03 57 55.18 24.6r 13UR22 568 C~2lTk 2013 11 01.25343 00 51 23.172 +03 57 34.19 24.2r 13UR22 568 C~2lTk 2013 11 01.37273 00 51 22.730 +03 57 31.76 24.0r 13UR22 568 C~2lTk 2013 11 02.24797 00 51 19.598 +03 57 12.94 23.3r 13UR22 568 C~2lTk 2013 11 05.37780 00 51 08.516 +03 56 05.85 25.0r 13UR22 568 C~2lTk 2013 11 06.399524 00 51 04.98 +03 55 44.9 13UR22 T14 C~7X4r 2013 11 07.43574 00 51 01.462 +03 55 23.77 24.7r 13UR22 568 C~2lTk 2013 12 05.31529 00 49 48.643 +03 48 24.30 25.0r 13UR22 568 C~2lTk 2014 06 25.58108 01 00 17.394 +04 55 12.47 24.4r 13UR22 568 C~2lTk 2014 07 23.55193 01 00 33.891 +04 55 59.72 23.9r 13UR22 568 C~2lTk 2014 07 27.53111 01 00 31.459 +04 55 36.16 24.4r 13UR22 568 C~2lTk 2014 07 27.562634 01 00 31.43 +04 55 36.2 13UR22 T09 C~7X4r 2014 07 27.565059 01 00 31.42 +04 55 36.4 13UR22 T09 C~7X4r 2014 08 22.61348 00 59 46.979 +04 50 14.12 24.0r 13UR22 568 C~2lTk 2014 08 28.45040 00 59 31.090 +04 48 26.65 24.2r 13UR22 568 C~2lTk 2014 09 23.447150 00 58 00.99 +04 38 39.7 24.5g 13UR22 T09 C~7X4r 2014 09 23.490750 00 58 00.80 +04 38 38.3 13UR22 T09 C~7X4r 2014 09 23.555559 00 58 00.55 +04 38 36.7 23.9i 13UR22 T09 C~7X4r 2014 09 23.599355 00 58 00.38 +04 38 35.7 13UR22 T09 C~7X4r 2014 10 23.27749 00 56 00.927 +04 26 08.23 24.1r 13UR22 568 C~2lTk 2014 10 23.33112 00 56 00.708 +04 26 06.87 24.3r 13UR22 568 C~2lTk 2014 10 23.38450 00 56 00.494 +04 26 05.50 24.4r 13UR22 568 C~2lTk 2014 10 25.25487 00 55 53.208 +04 25 20.96 24.3r 13UR22 568 C~2lTk 2014 10 25.45680 00 55 52.404 +04 25 16.21 24.5r 13UR22 568 C~2lTk 2014 10 27.24490 00 55 45.524 +04 24 34.12 25.1r 13UR22 568 C~2lTk 2014 10 27.30309 00 55 45.299 +04 24 32.76 24.0r 13UR22 568 C~2lTk 2014 10 27.36937 00 55 45.032 +04 24 31.26 24.4r 13UR22 568 C~2lTk 2014 11 19.20738 00 54 27.491 +04 16 48.40 24.8r 13UR22 568 C~2lTk 2014 11 19.27463 00 54 27.280 +04 16 47.37 24.4r 13UR22 568 C~2lTk 2015 01 17.26407 00 53 44.047 +04 14 02.95 24.4r 13UR22 568 C~2lTk 2015 08 20.53131 01 03 54.044 +05 15 30.92 24.5r 13UR22 568 C~2lTk 2015 12 07.36957 00 57 46.444 +04 37 39.25 24.8w 13UR22 568 C~2lTk 2017 01 31.21678 01 02 05.713 +05 05 58.04 24.7w 13UR22 568 C~2lTk 2017 01 31.22433 01 02 05.717 +05 05 57.99 24.9w 13UR22 568 C~2lTk 2017 07 24.59111 01 12 30.175 +06 08 34.79 24.9w 13UR22 568 C~2lTk 2017 08 25.54688 01 11 42.488 +06 02 46.63 25.0w 13UR22 568 C~2lTk 2017 08 25.62549 01 11 42.278 +06 02 45.59 25.4w 13UR22 568 C~2lTk 2017 08 30.48798 01 11 29.090 +06 01 17.91 24.5w 13UR22 568 C~2lTk 2017 08 30.54049 01 11 28.925 +06 01 17.03 24.9w 13UR22 568 C~2lTk 2017 08 31.53314 01 11 26.076 +06 00 58.20 24.7w 13UR22 568 C~2lTk 2017 11 23.35788 01 06 18.274 +05 29 33.22 24.7w 13UR22 568 C~2lTk 2017 11 25.21269 01 06 13.191 +05 29 04.49 24.5w 13UR22 568 C~2lTk 2018 09 09.394230 01 15 01.14 +06 22 21.7 24.8r 13UR22 568 C~2rbS 2018 09 09.606530 01 15 00.43 +06 22 17.4 24.8r 13UR22 568 C~2rbS 2018 09 12.616000 01 14 50.28 +06 21 12.7 25.0r 13UR22 568 C~2rbS 2018 09 12.624350 01 14 50.25 +06 21 12.3 25.0r 13UR22 568 C~2rbS 2019 06 09.593194 01 19 17.03 +06 50 39.3 24.1r 13UR22 T09 C~7X4r 2019 06 09.601637 01 19 17.06 +06 50 39.4 13UR22 T09 C~7X4r 2019 06 09.610213 01 19 17.10 +06 50 39.6 13UR22 T09 C~7X4r
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 -0.07
2 0.0518 0.00 0.02 0.00 -0.05
3 0.0545 0.00 -0.00 0.00 0.12
4 0.0547 0.00 0.10 0.00 -0.17
5 0.0656 0.00 0.01 0.00 0.04
6 0.1502 0.00 0.09 0.00 -0.11
7 0.1530 0.00 -0.05 0.00 -0.10
8 0.1532 0.00 -0.11 0.00 0.03
9 0.1615 0.00 0.18 0.00 0.20
10 0.2210 0.00 -0.00 0.00 -0.12
11 0.2211 0.00 0.12 0.00 -0.14
12 0.2212 0.00 -0.02 0.00 0.00
13 0.2238 0.00 0.01 0.00 -0.19
14 0.2241 0.00 -0.01 0.00 -0.00
15 0.2265 0.00 0.24 0.00 0.30
16 0.2351 0.00 -0.09 0.00 -0.14
17 0.2379 0.00 -0.30 0.00 0.06
18 0.2407 0.00 -0.16 0.00 0.07
19 0.3171 0.00 -0.40 0.00 -0.01
20 0.8708 0.00 0.18 0.00 -0.10
21 0.9474 0.00 -0.96 0.00 0.00
22 0.9583 0.00 0.12 0.00 -0.20
23 0.9584 0.00 0.09 0.00 0.06
24 0.9584 0.00 -0.03 0.00 0.27
25 1.0297 0.00 -0.36 0.00 -0.04
26 1.0457 0.00 0.14 0.00 0.07
27 1.1169 0.00 0.22 0.00 0.33
28 1.1170 0.00 -0.03 0.00 0.02
29 1.1172 0.00 0.09 0.00 0.04
30 1.1173 0.00 0.15 0.00 0.13
31 1.1986 0.00 0.08 0.00 0.01
32 1.1987 0.00 0.00 0.00 -0.06
33 1.1989 0.00 -0.00 0.00 -0.15
34 1.2040 0.00 0.14 0.00 -0.00
35 1.2045 0.00 0.04 0.00 0.03
36 1.2094 0.00 0.03 0.00 -0.01
37 1.2096 0.00 0.05 0.00 -0.02
38 1.2098 0.00 -0.08 0.00 0.03
39 1.2723 0.00 0.19 0.00 -0.10
40 1.2725 0.00 -0.03 0.00 -0.02
41 1.4340 0.00 -0.02 0.00 -0.04
42 2.0233 0.00 0.14 0.00 0.11
43 2.3213 0.00 -0.08 0.00 -0.03
44 3.4735 0.00 0.33 0.00 0.07
45 3.4736 0.00 0.10 0.00 -0.11
46 3.9510 0.00 0.03 0.00 0.09
47 4.0384 0.00 0.09 0.00 -0.18
48 4.0387 0.00 0.06 0.00 0.13
49 4.0520 0.00 -0.05 0.00 -0.04
50 4.0521 0.00 -0.22 0.00 0.07
51 4.0548 0.00 -0.09 0.00 0.04
52 4.2843 0.00 0.06 0.00 0.10
53 4.2894 0.00 -0.05 0.00 0.03
54 5.0784 0.00 -0.11 0.00 -0.09
55 5.0790 0.00 -0.05 0.00 0.09
56 5.0872 0.00 -0.35 0.00 0.10
57 5.0873 0.00 -0.36 0.00 -0.12
58 5.8264 0.00 0.14 0.00 -0.04
59 5.8264 0.00 0.19 0.00 -0.09
60 5.8264 0.00 0.39 0.00 -0.04
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.
13UR22 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.302 44.303 44.302 ecceobj 0.076 0.076 0.076 incobj 1.435 1.435 1.435 qmin 39.859 39.864 39.870 qmax 48.531 48.552 48.517 amean 44.066 44.067 44.066 amin 43.716 43.722 43.716 amax 44.450 44.445 44.436 emean 0.075 0.075 0.075 emin 0.059 0.059 0.059 emax 0.092 0.092 0.092 imean 1.032 1.032 1.032 imin 0.242 0.242 0.242 imax 1.624 1.625 1.624 excite_mean 0.078 0.078 0.078 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 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 157.1 157.2 157.2 kozaiamp 180.0 180.0 180.0