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: 13UF18 # Created Fri Apr 19 01:15:36 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 38 observations of 38 # Arc: 7.28y # First observation: 2013/08/02 # Last observation: 2020/11/14 # Chi-squared of fit: 23.70 DOF: 70 RMS: 0.14 # Min/Max residuals: -0.37 0.53 # Exact a, adot, b, bdot, g, gdot: 1.447996E-05 1.992801E-02 -2.701456E-06 -3.646363E-03 2.200843E-02 -3.619963E-03 # Covariance matrix: 1.6380E-13 -9.9932E-14 -1.0872E-14 2.1444E-14 6.9753E-14 -7.6460E-13 -9.9932E-14 1.7687E-13 2.0056E-14 -3.8246E-14 1.3369E-14 1.3727E-12 -1.0872E-14 2.0056E-14 5.6885E-14 -1.9764E-14 1.1958E-15 1.6982E-13 2.1444E-14 -3.8246E-14 -1.9764E-14 2.3532E-14 -1.4406E-15 -3.2435E-13 6.9753E-14 1.3369E-14 1.1958E-15 -1.4406E-15 9.1709E-14 5.7628E-14 -7.6460E-13 1.3727E-12 1.6982E-13 -3.2435E-13 5.7628E-14 1.1637E-11 # lat0 lon0 xBary yBary zBary JD0 -0.834947 18.881971 0.947693 -0.005337 -0.368324 2456507.044298 # Heliocentric elements and errors Epoch: 2456506.5000 = 2013/08/02 Mean Anomaly: 286.13552 +/- 0.013 Argument of Peri: 281.30069 +/- 0.014 Long of Asc Node: 193.20628 +/- 0.000 Inclination: 10.45208 +/- 0.000 Eccentricity: 0.19875387 +/- 0.0002 Semi-Major Axis: 46.58905416 +/- 0.0028 Time of Perihelion: 2480338.3306 +/- 9.3 Perihelion: 37.32929916 +/- 0.0080 Aphelion: 55.84880917 +/- 0.0084 Period (y) 318.0051 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.64243355 +/- 0.0006 Ecliptic Y 13.92843434 +/- 0.0002 Ecliptic Z -0.66219479 +/- 0.0000 Ecliptic XDOT -0.00124080 +/- 0.0000 Ecliptic YDOT 0.00219696 +/- 0.0000 Ecliptic ZDOT -0.00044686 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.81608845 +/- 0.0006 Geocenter to KBO 45.43727514 +/- 0.0006 # Hcoef: 7.33
The following table shows the complete astrometric record for 13UF18. 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 (13UF18) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.54352 01 10 57.830 +06 37 24.74 24.0r 13UF18 568 C~2NKc 2013 08 02.58624 01 10 57.788 +06 37 24.39 24.1r 13UF18 568 C~2NKc 2013 08 31.46342 01 09 59.396 +06 29 54.59 24.0r 13UF18 568 C~2NKc 2013 08 31.52899 01 09 59.191 +06 29 53.31 23.9r 13UF18 568 C~2NKc 2013 09 04.44319 01 09 47.236 +06 28 28.15 23.8r 13UF18 568 C~2NKc 2013 09 04.51807 01 09 46.965 +06 28 26.30 23.8r 13UF18 568 C~2NKc 2013 10 06.42466 01 07 46.750 +06 14 44.33 23.7r 13UF18 568 C~2NKc 2013 10 31.26631 01 06 05.380 +06 03 30.08 24.3r 13UF18 568 C~2NKc 2013 10 31.30910 01 06 05.199 +06 03 28.98 24.0r 13UF18 568 C~2NKc 2013 10 31.35182 01 06 05.036 +06 03 27.99 23.9r 13UF18 568 C~2NKc 2013 11 01.29289 01 06 01.426 +06 03 03.88 23.7r 13UF18 568 C~2NKc 2013 11 01.42381 01 06 00.902 +06 03 00.52 24.0r 13UF18 568 C~2NKc 2013 11 05.47053 01 05 45.682 +06 01 20.31 24.0r 13UF18 568 C~2NKc 2013 11 07.44359 01 05 38.489 +06 00 32.43 24.6r 13UF18 568 C~2NKc 2013 11 07.45135 01 05 38.478 +06 00 32.32 24.0r 13UF18 568 C~2NKc 2013 11 07.48378 01 05 38.347 +06 00 31.56 24.2r 13UF18 568 C~2NKc 2013 12 04.28292 01 04 20.404 +05 51 54.68 24.5r 13UF18 568 C~2NKc 2013 12 04.33509 01 04 20.286 +05 51 53.98 23.9r 13UF18 568 C~2NKc 2013 12 05.26092 01 04 18.420 +05 51 41.38 24.4r 13UF18 568 C~2NKc 2014 06 27.61338 01 15 14.186 +06 52 01.21 24.1r 13UF18 568 C~2NKc 2014 06 29.58900 01 15 17.906 +06 52 16.41 23.8r 13UF18 568 C~2NKc 2014 07 24.57652 01 15 38.394 +06 52 48.63 24.0r 13UF18 568 C~2NKc 2014 07 27.60731 01 15 37.491 +06 52 32.08 24.2r 13UF18 568 C~2NKc 2014 08 22.60340 01 15 00.988 +06 47 17.77 24.1r 13UF18 568 C~2NKc 2014 08 23.57976 01 14 58.685 +06 47 00.37 24.1r 13UF18 568 C~2NKc 2014 08 28.44260 01 14 46.291 +06 45 28.85 23.8r 13UF18 568 C~2NKc 2014 08 30.50910 01 14 40.589 +06 44 47.00 24.4u 13UF18 568 C~2NKc 2014 08 30.51339 01 14 40.560 +06 44 47.01 24.4u 13UF18 568 C~2NKc 2014 10 23.34848 01 11 15.847 +06 21 38.41 24.3r 13UF18 568 C~2NKc 2014 10 26.44393 01 11 03.267 +06 20 15.30 23.9r 13UF18 568 C~2NKc 2014 10 27.38719 01 10 59.429 +06 19 50.44 23.6r 13UF18 568 C~2NKc 2014 11 19.19777 01 09 36.348 +06 10 48.20 23.7r 13UF18 568 C~2NKc 2014 11 19.26507 01 09 36.130 +06 10 46.88 24.1r 13UF18 568 C~2NKc 2014 11 25.21441 01 09 18.484 +06 08 52.17 24.1r 13UF18 568 C~2NKd 2015 01 18.22533 01 08 37.970 +06 04 06.02 23.9r 13UF18 568 C~2NKd 2015 08 20.51903 01 19 45.407 +07 02 17.76 24.0r 13UF18 568 C~2NKd 2020 11 14.118510 01 38 25.878 +07 38 20.91 23.5G 13UF18 G37 C~4Nl8 2020 11 14.175250 01 38 25.695 +07 38 19.19 13UF18 G37 C~4Nl8
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 -0.04 0.00 0.00
2 0.0001 0.00 0.02 0.00 0.05
3 0.0792 0.00 0.09 0.00 -0.01
4 0.0794 0.00 -0.01 0.00 0.09
5 0.0901 0.00 0.06 0.00 -0.09
6 0.0903 0.00 -0.37 0.00 -0.27
7 0.1776 0.00 -0.01 0.00 0.03
8 0.2456 0.00 0.09 0.00 0.06
9 0.2458 0.00 -0.10 0.00 0.05
10 0.2459 0.00 -0.02 0.00 0.15
11 0.2485 0.00 0.08 0.00 -0.01
12 0.2488 0.00 -0.11 0.00 -0.06
13 0.2599 0.00 -0.12 0.00 0.29
14 0.2653 0.00 -0.06 0.00 -0.04
15 0.2653 0.00 0.20 0.00 0.04
16 0.2654 0.00 0.02 0.00 0.06
17 0.3388 0.00 -0.00 0.00 0.02
18 0.3389 0.00 -0.09 0.00 0.05
19 0.3415 0.00 0.10 0.00 0.11
20 0.9009 0.00 0.11 0.00 0.03
21 0.9064 0.00 0.15 0.00 -0.12
22 0.9748 0.00 0.01 0.00 -0.04
23 0.9831 0.00 0.03 0.00 0.05
24 1.0542 0.00 -0.02 0.00 -0.01
25 1.0569 0.00 0.03 0.00 -0.07
26 1.0702 0.00 0.03 0.00 0.05
27 1.0759 0.00 0.24 0.00 -0.31
28 1.0759 0.00 -0.01 0.00 -0.22
29 1.2233 0.00 -0.21 0.00 0.13
30 1.2318 0.00 0.53 0.00 -0.11
31 1.2343 0.00 0.02 0.00 0.00
32 1.2968 0.00 -0.08 0.00 -0.05
33 1.2970 0.00 -0.12 0.00 -0.00
34 1.3133 0.00 -0.17 0.00 0.07
35 1.4611 0.00 -0.06 0.00 0.02
36 2.0478 0.00 -0.12 0.00 -0.01
37 7.2843 0.00 -0.29 0.00 0.25
38 7.2844 0.00 0.28 0.00 -0.19
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.
13UF18 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.809 46.809 46.809 ecceobj 0.196 0.196 0.196 incobj 10.420 10.420 10.420 qmin 36.580 36.558 36.553 qmax 56.785 56.808 56.841 amean 46.467 46.476 46.480 amin 46.060 46.062 46.073 amax 46.988 46.961 46.967 emean 0.195 0.195 0.195 emin 0.182 0.182 0.182 emax 0.210 0.210 0.211 imean 11.052 11.067 11.061 imin 10.415 10.417 10.417 imax 11.699 11.703 11.704 excite_mean 0.274 0.274 0.274 fracstop 1.000 1.000 1.000 cjmean 3.039 3.039 3.039 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 177.6 176.6 177.4 kozaiamp 180.0 180.0 180.0