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: 13UD18 # Created Wed Dec 25 02:09:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 52 observations of 52 # Arc: 8.33y # First observation: 2013/08/02 # Last observation: 2021/12/01 # Chi-squared of fit: 30.07 DOF: 98 RMS: 0.13 # Min/Max residuals: -0.45 0.37 # Exact a, adot, b, bdot, g, gdot: 1.571699E-05 2.308090E-02 7.880363E-07 6.597355E-04 2.354730E-02 -1.500155E-03 # Covariance matrix: 1.2630E-13 -4.7999E-14 1.8657E-15 -1.6323E-15 6.4221E-14 -2.8931E-13 -4.7999E-14 1.0808E-13 -1.6484E-15 3.3625E-15 2.7005E-14 6.2211E-13 1.8657E-15 -1.6484E-15 3.7993E-14 -8.9126E-15 8.0790E-16 -1.0991E-14 -1.6323E-15 3.3625E-15 -8.9126E-15 7.7092E-15 5.7408E-16 2.1024E-14 6.4221E-14 2.7005E-14 8.0790E-16 5.7408E-16 8.3670E-14 1.1919E-13 -2.8931E-13 6.2211E-13 -1.0991E-14 2.1024E-14 1.1919E-13 3.8816E-12 # lat0 lon0 xBary yBary zBary JD0 -2.230850 18.292145 0.943877 -0.014685 -0.377753 2456507.040418 # Heliocentric elements and errors Epoch: 2456506.5000 = 2013/08/02 Mean Anomaly: 304.22065 +/- 0.026 Argument of Peri: 11.80864 +/- 0.037 Long of Asc Node: 71.29214 +/- 0.004 Inclination: 2.72272 +/- 0.000 Eccentricity: 0.10171286 +/- 0.0001 Semi-Major Axis: 45.08916850 +/- 0.0023 Time of Perihelion: 2473641.2475 +/- 10.7 Perihelion: 40.50302041 +/- 0.0038 Aphelion: 49.67531658 +/- 0.0041 Period (y) 302.7726 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.94612030 +/- 0.0005 Ecliptic Y 12.54452602 +/- 0.0002 Ecliptic Z -1.65301674 +/- 0.0000 Ecliptic XDOT -0.00101116 +/- 0.0000 Ecliptic YDOT 0.00249343 +/- 0.0000 Ecliptic ZDOT 0.00008358 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.85659090 +/- 0.0005 Geocenter to KBO 42.46778386 +/- 0.0005 # Hcoef: 7.48
The following table shows the complete astrometric record for 13UD18. 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 (13UD18) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.53964 01 10 53.842 +05 06 29.94 24.0r 13UD18 568 C~2NKc 2013 08 02.58233 01 10 53.790 +05 06 29.55 23.9r 13UD18 568 C~2NKc 2013 08 30.46168 01 09 54.403 +04 59 19.11 24.1r 13UD18 568 C~2NKc 2013 08 30.47107 01 09 54.402 +04 59 18.87 23.4r 13UD18 568 C~2NKc 2013 08 30.47584 01 09 54.390 +04 59 19.06 24.2r 13UD18 568 C~2NKc 2013 08 31.45951 01 09 51.322 +04 58 57.86 23.8r 13UD18 568 C~2NKc 2013 08 31.52510 01 09 51.109 +04 58 56.55 23.7r 13UD18 568 C~2NKc 2013 09 04.43928 01 09 38.325 +04 57 31.19 23.8r 13UD18 568 C~2NKc 2013 09 04.51419 01 09 38.058 +04 57 29.84 23.9r 13UD18 568 C~2NKc 2013 10 06.42079 01 07 29.546 +04 43 55.26 23.8r 13UD18 568 C~2NKc 2013 10 31.26225 01 05 41.311 +04 33 11.71 23.6r 13UD18 568 C~2NKc 2013 10 31.30520 01 05 41.122 +04 33 10.71 23.7r 13UD18 568 C~2NKc 2013 10 31.34794 01 05 40.939 +04 33 09.87 23.7r 13UD18 568 C~2NKc 2013 11 01.28901 01 05 37.082 +04 32 47.40 23.5r 13UD18 568 C~2NKc 2013 11 01.29758 01 05 37.039 +04 32 47.30 23.6r 13UD18 568 C~2NKc 2013 11 01.41864 01 05 36.550 +04 32 44.37 23.9r 13UD18 568 C~2NKc 2013 11 05.46665 01 05 20.313 +04 31 12.03 23.8r 13UD18 568 C~2NKc 2013 11 05.48471 01 05 20.234 +04 31 11.95 23.5r 13UD18 568 C~2NKc 2013 11 07.43971 01 05 12.623 +04 30 28.63 23.5r 13UD18 568 C~2NKc 2013 11 07.44747 01 05 12.592 +04 30 28.49 23.6r 13UD18 568 C~2NKc 2013 11 07.45523 01 05 12.573 +04 30 28.42 23.6r 13UD18 568 C~2NKc 2013 11 07.47861 01 05 12.474 +04 30 27.95 23.4r 13UD18 568 C~2NKc 2013 12 04.27904 01 03 49.447 +04 23 09.31 23.5r 13UD18 568 C~2NKc 2013 12 04.33121 01 03 49.346 +04 23 08.79 23.4r 13UD18 568 C~2NKc 2013 12 05.25698 01 03 47.361 +04 22 59.62 23.8r 13UD18 568 C~2NKc 2013 12 05.26547 01 03 47.343 +04 22 59.42 24.1r 13UD18 568 C~2NKc 2014 06 27.60950 01 15 25.499 +05 38 19.76 23.7r 13UD18 568 C~2NKc 2014 06 29.58512 01 15 29.451 +05 38 38.33 24.6r 13UD18 568 C~2NKc 2014 07 24.56867 01 15 51.274 +05 39 37.97 23.7r 13UD18 568 C~2NKc 2014 07 27.59948 01 15 50.311 +05 39 23.43 23.6r 13UD18 568 C~2NKc 2014 08 24.51225 01 15 06.530 +05 33 46.29 23.8r 13UD18 568 C~2NKc 2014 08 28.49059 01 14 55.578 +05 32 31.54 23.4r 13UD18 568 C~2NKc 2014 10 23.28255 01 11 11.536 +05 09 17.09 23.5r 13UD18 568 C~2NKc 2014 10 23.33619 01 11 11.298 +05 09 15.83 24.0r 13UD18 568 C~2NKc 2014 10 23.39470 01 11 11.036 +05 09 14.29 23.7r 13UD18 568 C~2NKc 2014 10 25.25994 01 11 02.922 +05 08 26.77 23.3r 13UD18 568 C~2NKc 2014 10 25.35102 01 11 02.497 +05 08 24.37 24.1r 13UD18 568 C~2NKc 2014 10 25.36233 01 11 02.477 +05 08 24.05 23.7r 13UD18 568 C~2NKc 2014 10 25.46195 01 11 02.027 +05 08 21.47 23.5r 13UD18 568 C~2NKc 2014 10 27.24998 01 10 54.317 +05 07 36.80 23.7r 13UD18 568 C~2NKc 2014 10 27.30820 01 10 54.060 +05 07 35.30 23.5r 13UD18 568 C~2NKc 2014 10 27.37469 01 10 53.771 +05 07 33.69 23.6r 13UD18 568 C~2NKc 2014 10 29.26294 01 10 45.719 +05 06 47.07 23.6r 13UD18 568 C~2NKc 2014 11 24.24388 01 09 09.060 +04 57 52.63 23.8r 13UD18 568 C~2NKc 2014 11 25.24005 01 09 06.059 +04 57 37.09 23.8r 13UD18 568 C~2NKc 2014 12 17.25485 01 08 18.522 +04 53 58.03 24.3r 13UD18 568 C~2NKc 2015 01 17.23854 01 08 21.605 +04 56 14.38 23.9r 13UD18 568 C~2NKc 2015 08 20.51066 01 20 12.080 +06 07 17.10 23.7r 13UD18 568 C~2NKc 2015 12 07.37779 01 13 28.955 +05 27 31.44 23.9w 13UD18 568 C~2NKc 2021 12 01.094750 01 43 47.112 +08 42 34.78 23.8G 13UD18 G37 C~5J5W 2021 12 01.146100 01 43 46.976 +08 42 34.64 13UD18 G37 C~5J5W 2021 12 01.198070 01 43 46.817 +08 42 33.81 13UD18 G37 C~5J5W
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 -0.01 0.00 -0.08
2 0.0001 0.00 -0.06 0.00 -0.08
3 0.0764 0.00 -0.40 0.00 0.12
4 0.0765 0.00 0.03 0.00 0.08
5 0.0765 0.00 0.08 0.00 0.37
6 0.0792 0.00 0.09 0.00 -0.17
7 0.0794 0.00 0.08 0.00 -0.10
8 0.0901 0.00 0.13 0.00 -0.15
9 0.0903 0.00 0.01 0.00 0.17
10 0.1776 0.00 0.02 0.00 -0.04
11 0.2456 0.00 0.15 0.00 -0.08
12 0.2458 0.00 0.02 0.00 -0.07
13 0.2459 0.00 -0.03 0.00 0.10
14 0.2485 0.00 -0.01 0.00 -0.17
15 0.2485 0.00 -0.12 0.00 -0.07
16 0.2488 0.00 0.12 0.00 -0.16
17 0.2599 0.00 0.17 0.00 0.03
18 0.2599 0.00 0.06 0.00 0.35
19 0.2653 0.00 -0.05 0.00 -0.06
20 0.2653 0.00 -0.06 0.00 -0.03
21 0.2653 0.00 0.11 0.00 0.07
22 0.2654 0.00 -0.01 0.00 0.10
23 0.3388 0.00 -0.35 0.00 -0.00
24 0.3389 0.00 -0.08 0.00 0.02
25 0.3415 0.00 0.08 0.00 0.11
26 0.3415 0.00 0.09 0.00 -0.00
27 0.9009 0.00 0.07 0.00 -0.06
28 0.9064 0.00 0.01 0.00 0.08
29 0.9748 0.00 0.00 0.00 -0.08
30 0.9831 0.00 -0.02 0.00 -0.10
31 1.0595 0.00 0.02 0.00 -0.01
32 1.0704 0.00 0.03 0.00 -0.01
33 1.2231 0.00 -0.02 0.00 0.01
34 1.2233 0.00 -0.01 0.00 0.12
35 1.2234 0.00 -0.03 0.00 0.08
36 1.2285 0.00 0.11 0.00 0.04
37 1.2288 0.00 -0.24 0.00 -0.06
38 1.2288 0.00 0.21 0.00 -0.10
39 1.2291 0.00 0.06 0.00 -0.16
40 1.2340 0.00 -0.02 0.00 0.02
41 1.2341 0.00 -0.06 0.00 -0.04
42 1.2343 0.00 -0.03 0.00 0.01
43 1.2395 0.00 0.01 0.00 -0.01
44 1.3106 0.00 0.04 0.00 0.08
45 1.3133 0.00 -0.14 0.00 -0.01
46 1.3736 0.00 -0.13 0.00 -0.10
47 1.4585 0.00 0.01 0.00 0.01
48 2.0478 0.00 -0.00 0.00 -0.05
49 2.3459 0.00 0.19 0.00 0.10
50 8.3301 0.00 -0.43 0.00 -0.45
51 8.3302 0.00 0.09 0.00 0.23
52 8.3303 0.00 0.30 0.00 0.23
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.
13UD18 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.327 45.327 45.327 ecceobj 0.102 0.102 0.102 incobj 2.722 2.722 2.722 qmin 39.434 39.454 39.436 qmax 50.861 50.872 50.864 amean 45.017 45.018 45.017 amin 44.649 44.642 44.649 amax 45.428 45.418 45.409 emean 0.105 0.105 0.105 emin 0.090 0.090 0.090 emax 0.120 0.120 0.120 imean 1.380 1.380 1.380 imin 0.649 0.649 0.649 imax 1.981 1.980 1.981 excite_mean 0.108 0.108 0.108 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 3.100 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 165.6 165.7 165.6 kozaiamp 180.0 179.9 179.9