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: 13UW18 # Created Sun Dec 22 02:09:49 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 33 observations of 33 # Arc: 7.14y # First observation: 2013/08/02 # Last observation: 2020/09/21 # Chi-squared of fit: 19.35 DOF: 60 RMS: 0.14 # Min/Max residuals: -0.24 0.70 # Exact a, adot, b, bdot, g, gdot: 1.645643E-05 2.782277E-02 -2.372382E-06 -3.158905E-03 2.702667E-02 -4.903563E-03 # Covariance matrix: 1.8262E-13 -5.6798E-14 -1.3014E-15 5.1365E-15 1.0489E-13 -1.9893E-13 -5.6798E-14 2.2915E-13 1.3174E-14 -2.7309E-14 7.7439E-14 1.1146E-12 -1.3014E-15 1.3174E-14 6.2672E-14 -1.6936E-14 6.0854E-15 6.8642E-14 5.1365E-15 -2.7309E-14 -1.6936E-14 1.8130E-14 -1.0021E-14 -1.4193E-13 1.0489E-13 7.7439E-14 6.0854E-15 -1.0021E-14 1.5547E-13 4.2040E-13 -1.9893E-13 1.1146E-12 6.8642E-14 -1.4193E-13 4.2040E-13 5.7942E-12 # lat0 lon0 xBary yBary zBary JD0 -1.775861 14.816186 0.919485 -0.013423 -0.433823 2456507.005448 # Heliocentric elements and errors Epoch: 2456506.5000 = 2013/08/02 Mean Anomaly: 295.73127 +/- 0.009 Argument of Peri: 282.40554 +/- 0.013 Long of Asc Node: 178.47161 +/- 0.001 Inclination: 6.77625 +/- 0.000 Eccentricity: 0.20462671 +/- 0.0001 Semi-Major Axis: 39.45044016 +/- 0.0025 Time of Perihelion: 2472663.9729 +/- 7.3 Perihelion: 31.37782623 +/- 0.0039 Aphelion: 47.52305409 +/- 0.0045 Period (y) 247.7913 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.40760282 +/- 0.0005 Ecliptic Y 8.68235179 +/- 0.0001 Ecliptic Z -1.14667591 +/- 0.0000 Ecliptic XDOT -0.00121655 +/- 0.0000 Ecliptic YDOT 0.00259446 +/- 0.0000 Ecliptic ZDOT -0.00030431 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.44623829 +/- 0.0005 Geocenter to KBO 37.00061465 +/- 0.0005 # Hcoef: 8.49
The following table shows the complete astrometric record for 13UW18. 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 (13UW18) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.50467 00 57 19.059 +04 11 59.92 24.4r 13UW18 568 C~2Yih 2013 08 02.54741 00 57 18.990 +04 11 59.20 24.6r 13UW18 568 C~2Yih 2013 08 11.50367 00 57 02.353 +04 09 33.90 24.3r 13UW18 568 C~2Yih 2013 08 31.42413 00 56 02.060 +04 01 50.99 23.9r 13UW18 568 C~2Yih 2013 08 31.46730 00 56 01.896 +04 01 49.75 24.1r 13UW18 568 C~2Yih 2013 09 04.40430 00 55 46.690 +03 59 59.55 24.0r 13UW18 568 C~2Yih 2013 09 04.44707 00 55 46.511 +03 59 58.45 24.2r 13UW18 568 C~2Yih 2013 10 05.37632 00 53 23.791 +03 43 33.27 23.7r 13UW18 568 C~2Yih 2013 10 06.37972 00 53 18.791 +03 42 59.80 23.9r 13UW18 568 C~2Yih 2013 10 06.44410 00 53 18.455 +03 42 57.70 24.0r 13UW18 568 C~2Yih 2013 10 09.50879 00 53 03.184 +03 41 16.05 23.7r 13UW18 568 C~2Yih 2013 10 31.22708 00 51 19.232 +03 29 56.67 24.0r 13UW18 568 C~2Yih 2013 10 31.27019 00 51 19.011 +03 29 55.23 24.3r 13UW18 568 C~2Yih 2013 10 31.31297 00 51 18.805 +03 29 53.90 24.2r 13UW18 568 C~2Yih 2013 11 01.25343 00 51 14.640 +03 29 27.30 23.9r 13UW18 568 C~2Yih 2013 11 05.37780 00 50 56.844 +03 27 33.79 24.3r 13UW18 568 C~2Yih 2013 11 06.34704 00 50 52.792 +03 27 07.89 13UW18 568 C~2Yih 2013 11 06.39952 00 50 52.574 +03 27 06.77 24.5r 13UW18 568 C~2Yih 2013 11 07.43574 00 50 48.293 +03 26 39.45 24.0r 13UW18 568 C~2Yih 2013 12 05.31529 00 49 21.319 +03 17 44.13 24.4r 13UW18 568 C~2Yih 2014 07 24.53752 01 03 39.901 +04 40 31.28 24.3r 13UW18 568 C~2Yih 2014 07 27.56807 01 03 38.156 +04 40 04.44 24.4r 13UW18 568 C~2Yih 2014 08 22.61348 01 02 48.580 +04 32 48.24 23.7r 13UW18 568 C~2Yih 2014 08 28.45040 01 02 29.771 +04 30 25.76 24.3r 13UW18 568 C~2Yih 2014 10 23.28767 00 58 13.401 +04 01 16.32 23.8r 13UW18 568 C~2Yih 2014 10 27.25444 00 57 54.427 +03 59 14.71 24.2r 13UW18 568 C~2Yih 2014 11 19.20738 00 56 18.596 +03 49 14.11 24.2r 13UW18 568 C~2Yih 2014 11 19.27463 00 56 18.351 +03 49 12.73 24.0r 13UW18 568 C~2Yih 2014 11 25.22391 00 55 58.950 +03 47 15.57 24.6r 13UW18 568 C~2Yih 2014 12 17.32324 00 55 13.481 +03 42 58.52 24.4r 13UW18 568 C~2Yih 2015 01 17.26407 00 55 31.392 +03 45 43.52 24.4r 13UW18 568 C~2Yih 2020 09 21.418820 01 40 12.203 +07 03 12.65 23.9G 13UW18 G37 C~49xD 2020 09 21.456050 01 40 12.037 +07 03 11.41 13UW18 G37 C~49xD
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 -0.08 0.00 0.09
2 0.0001 0.00 -0.13 0.00 -0.04
3 0.0246 0.00 -0.16 0.00 0.70
4 0.0792 0.00 0.04 0.00 -0.00
5 0.0793 0.00 0.05 0.00 -0.07
6 0.0901 0.00 -0.06 0.00 -0.12
7 0.0902 0.00 -0.14 0.00 0.00
8 0.1749 0.00 0.07 0.00 -0.01
9 0.1776 0.00 0.01 0.00 -0.09
10 0.1778 0.00 -0.13 0.00 -0.04
11 0.1862 0.00 -0.14 0.00 -0.01
12 0.2456 0.00 0.49 0.00 0.18
13 0.2458 0.00 0.11 0.00 -0.03
14 0.2459 0.00 -0.07 0.00 -0.14
15 0.2485 0.00 -0.07 0.00 -0.00
16 0.2597 0.00 0.02 0.00 0.06
17 0.2624 0.00 0.00 0.00 -0.08
18 0.2625 0.00 0.08 0.00 0.19
19 0.2654 0.00 0.01 0.00 -0.02
20 0.3417 0.00 -0.10 0.00 -0.00
21 0.9748 0.00 0.05 0.00 -0.01
22 0.9831 0.00 0.09 0.00 -0.11
23 1.0544 0.00 0.11 0.00 -0.17
24 1.0704 0.00 0.09 0.00 -0.02
25 1.2232 0.00 0.08 0.00 -0.24
26 1.2341 0.00 -0.06 0.00 0.00
27 1.2969 0.00 0.04 0.00 -0.05
28 1.2971 0.00 -0.03 0.00 -0.01
29 1.3134 0.00 -0.04 0.00 0.02
30 1.3739 0.00 -0.11 0.00 -0.01
31 1.4586 0.00 0.02 0.00 -0.02
32 7.1373 0.00 -0.05 0.00 0.10
33 7.1374 0.00 0.01 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.
13UW18 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.621 39.621 39.622 ecceobj 0.203 0.203 0.203 incobj 6.756 6.756 6.756 qmin 30.322 30.369 30.317 qmax 49.358 49.407 49.389 amean 39.457 39.457 39.457 amin 38.866 38.868 38.870 amax 40.120 40.126 40.112 emean 0.206 0.206 0.206 emin 0.174 0.173 0.174 emax 0.232 0.232 0.233 imean 7.249 7.280 7.242 imin 5.824 5.850 5.809 imax 9.100 9.109 9.093 excite_mean 0.243 0.242 0.243 fracstop 1.000 1.000 1.000 cjmean 2.985 2.985 2.985 libcent 0 180.3 179.7 180.3 libamp 0 135.7 135.1 135.5 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 179.0 180.8 179.2 kozaiamp 71.3 71.0 71.3