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: 13UF31 # Created Sun Dec 22 02:09:49 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 5.21y # First observation: 2013/09/12 # Last observation: 2018/11/30 # Chi-squared of fit: 11.42 DOF: 56 RMS: 0.11 # Min/Max residuals: -0.20 0.39 # Exact a, adot, b, bdot, g, gdot: 1.508613E-05 3.316625E-02 -7.702122E-06 -1.851903E-02 3.175919E-02 3.760474E-03 # Covariance matrix: 3.3502E-13 -1.5544E-13 -6.4957E-14 7.0687E-14 5.3580E-14 -7.0110E-13 -1.5544E-13 1.9050E-13 9.8103E-14 -1.1131E-13 9.7852E-14 1.1029E-12 -6.4957E-14 9.8103E-14 2.4884E-13 -1.1432E-13 4.7723E-14 6.2908E-13 7.0687E-14 -1.1131E-13 -1.1432E-13 8.9767E-14 -5.8452E-14 -7.1249E-13 5.3580E-14 9.7852E-14 4.7723E-14 -5.8452E-14 2.1684E-13 5.7826E-13 -7.0110E-13 1.1029E-12 6.2908E-13 -7.1249E-13 5.7826E-13 7.0603E-12 # lat0 lon0 xBary yBary zBary JD0 -13.762449 21.378013 0.532438 -0.203273 -0.830377 2456547.893578 # Heliocentric elements and errors Epoch: 2456548.5000 = 2013/09/13 Mean Anomaly: 18.55285 +/- 0.012 Argument of Peri: 177.89428 +/- 0.020 Long of Asc Node: 178.05771 +/- 0.000 Inclination: 32.06175 +/- 0.000 Eccentricity: 0.19945896 +/- 0.0001 Semi-Major Axis: 39.59082987 +/- 0.0028 Time of Perihelion: 2451859.3043 +/- 3.2 Perihelion: 31.69408418 +/- 0.0033 Aphelion: 47.48757556 +/- 0.0042 Period (y) 249.1151 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.46835636 +/- 0.0004 Ecliptic Y 10.96679886 +/- 0.0002 Ecliptic Z -7.49091295 +/- 0.0001 Ecliptic XDOT -0.00110885 +/- 0.0000 Ecliptic YDOT 0.00263758 +/- 0.0000 Ecliptic ZDOT -0.00162761 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.32283130 +/- 0.0004 Geocenter to KBO 31.48691266 +/- 0.0005 # Hcoef: 7.72
The following table shows the complete astrometric record for 13UF31. 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 (13UF31) followed by the observatory code and reference code for the source of the astrometry.
2013 09 12.39280 01 39 31.388 -04 26 27.39 23.1g 13UF31 W84 C~4yRL 2013 10 27.10459 01 35 37.15 -05 01 25.4 23.9g 13UF31 W84 C~3clU 2013 10 29.06106 01 35 26.287 -05 02 38.30 23.8g 13UF31 W84 C~4yRL 2014 09 25.26455 01 47 12.703 -04 53 46.90 23.3g 13UF31 W84 C~4yRL 2014 10 23.28497 01 44 40.923 -05 15 27.45 22.5r 13UF31 W84 C~4yRL 2014 10 23.28633 01 44 40.915 -05 15 27.36 22.9g 13UF31 W84 C~4yRL 2014 12 25.09642 01 40 20.826 -05 32 51.22 23.4r 13UF31 W84 C~4yRL 2014 12 25.09779 01 40 20.828 -05 32 51.38 23.1i 13UF31 W84 C~4yRL 2015 01 16.05340 01 40 17.387 -05 26 07.04 22.6z 13UF31 W84 C~4yRL 2015 08 24.41363 01 57 41.789 -04 42 42.80 22.4i 13UF31 W84 C~4yRL 2015 11 06.16972 01 52 01.97 -05 39 50.3 22.6i 13UF31 W84 C~3clU 2015 11 16.14155 01 51 09.188 -05 44 26.18 23.0r 13UF31 W84 C~4yRL 2015 11 16.14295 01 51 09.182 -05 44 26.21 22.3i 13UF31 W84 C~4yRL 2015 11 16.14430 01 51 09.171 -05 44 26.25 23.7g 13UF31 W84 C~4yRL 2015 11 20.12920 01 50 49.415 -05 45 54.07 22.3z 13UF31 W84 C~4yRL 2016 09 10.29101 02 05 20.46 -05 12 59.5 22.7i 13UF31 W84 C~3clU 2016 09 10.29240 02 05 20.44 -05 12 59.4 23.2g 13UF31 W84 C~3clU 2016 09 11.25560 02 05 17.003 -05 13 49.71 22.4z 13UF31 W84 C~4yRL 2017 09 18.39055 02 13 17.405 -05 34 45.84 22.2i 13UF31 W84 C~4yRL 2017 10 22.21056 02 10 27.438 -06 01 49.80 22.7r 13UF31 W84 C~4yRL 2017 10 22.21195 02 10 27.437 -06 01 49.81 22.5i 13UF31 W84 C~4yRL 2017 10 22.21332 02 10 27.434 -06 01 49.72 23.4g 13UF31 W84 C~4yRL 2017 11 27.19569 02 07 13.161 -06 18 51.08 22.1i 13UF31 W84 C~4yRL 2017 12 14.06214 02 06 05.451 -06 20 36.51 23.4r 13UF31 W84 C~4yRL 2017 12 14.06352 02 06 05.432 -06 20 36.53 23.9g 13UF31 W84 C~4yRL 2017 12 25.11805 02 05 35.142 -06 19 27.92 22.1z 13UF31 W84 C~4yRL 2018 09 21.29496 02 21 30.309 -05 51 25.76 22.6z 13UF31 W84 C~4yRL 2018 10 20.23044 02 19 06.753 -06 14 44.03 22.6z 13UF31 W84 C~4yRL 2018 11 16.11363 02 16 35.732 -06 29 48.85 23.1i 13UF31 W84 C~4yRL 2018 11 30.10951 02 15 25.228 -06 33 54.56 22.8r 13UF31 W84 C~4yRL 2018 11 30.11088 02 15 25.218 -06 33 54.64 23.3g 13UF31 W84 C~4yRL
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 0.39 0.00 -0.18
2 0.1224 0.00 -0.20 0.00 0.15
3 0.1278 0.00 -0.08 0.00 0.01
4 1.0346 0.00 -0.09 0.00 -0.04
5 1.1113 0.00 0.01 0.00 -0.06
6 1.1113 0.00 0.01 0.00 0.08
7 1.2832 0.00 -0.07 0.00 0.06
8 1.2832 0.00 -0.01 0.00 -0.11
9 1.3434 0.00 0.05 0.00 0.07
10 1.9467 0.00 0.03 0.00 -0.10
11 2.1486 0.00 -0.06 0.00 0.15
12 2.1759 0.00 -0.03 0.00 -0.03
13 2.1759 0.00 -0.01 0.00 -0.03
14 2.1759 0.00 -0.08 0.00 -0.04
15 2.1868 0.00 0.07 0.00 0.10
16 2.9949 0.00 0.09 0.00 0.03
17 2.9949 0.00 -0.14 0.00 0.21
18 2.9976 0.00 -0.03 0.00 -0.18
19 4.0164 0.00 0.06 0.00 -0.17
20 4.1090 0.00 0.01 0.00 -0.03
21 4.1090 0.00 0.12 0.00 0.02
22 4.1090 0.00 0.19 0.00 0.17
23 4.2075 0.00 -0.05 0.00 0.01
24 4.2537 0.00 0.12 0.00 0.03
25 4.2537 0.00 -0.10 0.00 0.01
26 4.2840 0.00 0.08 0.00 0.07
27 5.0237 0.00 -0.02 0.00 -0.13
28 5.1029 0.00 -0.14 0.00 -0.11
29 5.1765 0.00 -0.01 0.00 0.17
30 5.2148 0.00 0.05 0.00 0.00
31 5.2148 0.00 -0.00 0.00 -0.06
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.
13UF31 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.784 39.784 39.784 ecceobj 0.204 0.204 0.204 incobj 31.986 31.986 31.986 qmin 31.100 31.101 31.099 qmax 48.394 48.396 48.390 amean 39.455 39.455 39.455 amin 39.048 39.047 39.049 amax 39.926 39.926 39.926 emean 0.180 0.180 0.180 emin 0.137 0.137 0.137 emax 0.214 0.214 0.214 imean 31.882 31.882 31.882 imin 31.316 31.316 31.317 imax 32.545 32.545 32.544 excite_mean 0.558 0.558 0.558 fracstop 1.000 1.000 1.000 cjmean 2.676 2.676 2.676 libcent 0 179.5 179.6 179.5 libamp 0 99.9 99.8 99.9 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 171.7 171.7 171.7 kozaiamp 180.0 180.0 180.0