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: 13RE109 # Created Sun Dec 22 02:09:31 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 47 observations of 47 # Arc: 5.13y # First observation: 2013/09/02 # Last observation: 2018/10/18 # Chi-squared of fit: 10.67 DOF: 88 RMS: 0.08 # Min/Max residuals: -0.28 0.20 # Exact a, adot, b, bdot, g, gdot: 1.453224E-05 2.297586E-02 6.167459E-07 -5.119354E-04 2.392850E-02 3.765342E-03 # Covariance matrix: 2.4090E-13 -8.4627E-15 2.5369E-16 -9.8082E-16 1.7241E-13 4.5503E-13 -8.4627E-15 1.9340E-13 2.6224E-15 -4.8662E-15 1.9980E-13 2.1282E-12 2.5369E-16 2.6224E-15 1.2742E-13 -3.5973E-14 2.7224E-15 3.0846E-14 -9.8082E-16 -4.8662E-15 -3.5973E-14 1.3611E-14 -5.7140E-15 -5.7847E-14 1.7241E-13 1.9980E-13 2.7224E-15 -5.7140E-15 4.0616E-13 2.5328E-12 4.5503E-13 2.1282E-12 3.0846E-14 -5.7847E-14 2.5328E-12 2.5330E-11 # lat0 lon0 xBary yBary zBary JD0 -5.356424 9.047265 0.495652 -0.082072 -0.876268 2456537.788668 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 72.70519 +/- 0.020 Argument of Peri: 165.69696 +/- 0.022 Long of Asc Node: 112.96470 +/- 0.003 Inclination: 5.41927 +/- 0.000 Eccentricity: 0.14968546 +/- 0.0002 Semi-Major Axis: 43.67312529 +/- 0.0033 Time of Perihelion: 2435248.1515 +/- 6.4 Perihelion: 37.13589356 +/- 0.0097 Aphelion: 50.21035701 +/- 0.0100 Period (y) 288.6221 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.03777962 +/- 0.0011 Ecliptic Y 6.19491952 +/- 0.0002 Ecliptic Z -3.90123712 +/- 0.0001 Ecliptic XDOT -0.00000137 +/- 0.0000 Ecliptic YDOT 0.00266164 +/- 0.0000 Ecliptic ZDOT -0.00009840 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.67040547 +/- 0.0011 Geocenter to KBO 41.79109753 +/- 0.0011 # Hcoef: 6.19
The following table shows the complete astrometric record for 13RE109. 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 (13RE109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.28789 00 41 40.285 -01 20 21.05 23.6g 13RE109 W84 C~4yQo 2013 09 12.15758 00 41 02.288 -01 25 01.32 21.6Y 13RE109 W84 C~4yQo 2013 09 28.12146 00 39 54.527 -01 32 46.39 22.7g 13RE109 W84 C~4yQo 2013 10 03.09214 00 39 32.635 -01 35 08.92 23.3g 13RE109 W84 C~4yQo 2013 10 13.134074 00 38 48.52 -01 39 44.0 22.0i 13RE109 W84 C~35bW 2013 10 13.13461 00 38 48.524 -01 39 43.97 22.3i 13RE109 W84 C~4yQo 2013 10 13.17794 00 38 48.330 -01 39 45.14 21.8z 13RE109 W84 C~4yQo 2013 11 23.119850 00 36 21.13 -01 52 35.9 22.8i 13RE109 W84 C~35bW 2014 10 28.202280 00 42 39.64 -01 16 21.5 22.4r 13RE109 W84 C~35bW 2014 10 28.20281 00 42 39.636 -01 16 21.51 22.5r 13RE109 W84 C~4yQo 2014 10 28.20419 00 42 39.648 -01 16 21.76 22.4i 13RE109 W84 C~4yQo 2014 11 13.13117 00 41 41.861 -01 21 19.39 21.7i 13RE109 W84 C~4yQo 2014 11 14.15587 00 41 38.590 -01 21 34.45 22.0z 13RE109 W84 C~4yQo 2014 11 15.15919 00 41 35.459 -01 21 49.00 21.9z 13RE109 W84 C~4yQo 2014 11 18.09787 00 41 26.636 -01 22 28.22 21.8z 13RE109 W84 C~4yQo 2015 10 17.15553 00 48 17.527 -00 42 40.18 22.7r 13RE109 W84 C~4yQo 2016 08 26.318090 00 56 31.10 +00 09 45.2 22.2i 13RE109 W84 C~35bW 2016 08 26.319456 00 56 31.10 +00 09 45.2 21.9z 13RE109 W84 C~35bW 2016 09 01.37842 00 56 11.560 +00 07 10.27 22.3r 13RE109 W84 C~4yQo 2016 10 23.12717 00 52 37.550 -00 16 28.12 23.8g 13RE109 W84 C~4yQo 2016 11 05.19660 00 51 45.441 -00 21 12.63 22.3i 13RE109 W84 C~4yQo 2016 11 06.18077 00 51 41.790 -00 21 31.41 22.7r 13RE109 W84 C~4yQo 2016 11 07.19710 00 51 38.068 -00 21 50.35 22.3z 13RE109 W84 C~4yQo 2016 11 08.15371 00 51 34.615 -00 22 07.81 22.4i 13RE109 W84 C~4yQo 2016 11 18.076690 00 51 01.66 -00 24 44.1 22.6r 13RE109 W84 C~35bW 2016 11 18.07722 00 51 01.662 -00 24 44.09 22.6r 13RE109 W84 C~4yQo 2016 11 18.078067 00 51 01.65 -00 24 44.1 23.5g 13RE109 W84 C~35bW 2016 11 18.07859 00 51 01.650 -00 24 44.11 23.5g 13RE109 W84 C~4yQo 2016 11 18.15843 00 51 01.412 -00 24 45.11 22.0z 13RE109 W84 C~4yQo 2017 08 28.351053 01 01 10.37 +00 37 36.6 22.5r 13RE109 W84 C~35bW 2017 08 28.35159 01 01 10.371 +00 37 36.57 22.5r 13RE109 W84 C~4yQo 2017 08 28.352431 01 01 10.36 +00 37 36.6 22.0i 13RE109 W84 C~35bW 2017 08 28.35296 01 01 10.366 +00 37 36.57 22.0i 13RE109 W84 C~4yQo 2017 08 28.353796 01 01 10.35 +00 37 36.5 23.7g 13RE109 W84 C~35bW 2017 08 28.35432 01 01 10.353 +00 37 36.45 23.6g 13RE109 W84 C~4yQo 2017 09 18.286782 00 59 54.84 +00 28 15.2 22.2r 13RE109 W84 C~35bW 2017 09 18.28731 00 59 54.848 +00 28 15.12 22.1r 13RE109 W84 C~4yQo 2017 09 18.288171 00 59 54.84 +00 28 15.0 21.9i 13RE109 W84 C~35bW 2017 09 18.28870 00 59 54.846 +00 28 14.99 21.6i 13RE109 W84 C~4yQo 2017 09 18.289549 00 59 54.84 +00 28 15.0 23.8g 13RE109 W84 C~35bW 2017 09 18.29007 00 59 54.848 +00 28 14.95 23.7g 13RE109 W84 C~4yQo 2017 09 25.24522 00 59 25.995 +00 24 57.77 23.6g 13RE109 W84 C~4yQo 2017 09 25.246076 00 59 25.98 +00 24 57.7 22.1z 13RE109 W84 C~35bW 2017 09 25.24660 00 59 25.983 +00 24 57.64 21.9z 13RE109 W84 C~4yQo 2017 10 22.161574 00 57 29.20 +00 12 48.9 22.1z 13RE109 W84 C~35bW 2017 10 22.16210 00 57 29.205 +00 12 48.92 22.1z 13RE109 W84 C~4yQo 2018 10 18.20881 01 02 32.104 +00 43 11.65 21.9z 13RE109 W84 C~4yQo
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 0.20 0.00 -0.13
2 0.0270 0.00 0.08 0.00 -0.03
3 0.0707 0.00 -0.07 0.00 -0.02
4 0.0843 0.00 -0.09 0.00 -0.28
5 0.1118 0.00 -0.08 0.00 -0.02
6 0.1118 0.00 0.02 0.00 0.03
7 0.1120 0.00 -0.02 0.00 0.00
8 0.2240 0.00 0.16 0.00 0.03
9 1.1524 0.00 -0.16 0.00 0.15
10 1.1524 0.00 -0.19 0.00 0.15
11 1.1524 0.00 0.08 0.00 -0.07
12 1.1960 0.00 0.04 0.00 0.04
13 1.1988 0.00 -0.03 0.00 0.20
14 1.2016 0.00 0.04 0.00 0.05
15 1.2096 0.00 -0.01 0.00 0.08
16 2.1215 0.00 -0.02 0.00 0.00
17 2.9816 0.00 -0.05 0.00 0.10
18 2.9816 0.00 0.02 0.00 0.14
19 2.9982 0.00 0.05 0.00 0.09
20 3.1399 0.00 0.08 0.00 -0.12
21 3.1757 0.00 0.04 0.00 -0.01
22 3.1784 0.00 0.01 0.00 -0.01
23 3.1811 0.00 0.01 0.00 0.01
24 3.1838 0.00 0.02 0.00 -0.01
25 3.2109 0.00 0.02 0.00 -0.06
26 3.2109 0.00 0.07 0.00 -0.05
27 3.2109 0.00 -0.07 0.00 -0.04
28 3.2109 0.00 -0.05 0.00 -0.05
29 3.2111 0.00 0.10 0.00 0.02
30 3.9865 0.00 0.07 0.00 -0.04
31 3.9865 0.00 0.11 0.00 -0.06
32 3.9865 0.00 -0.01 0.00 -0.01
33 3.9865 0.00 0.10 0.00 -0.02
34 3.9865 0.00 -0.10 0.00 -0.07
35 3.9865 0.00 -0.03 0.00 -0.11
36 4.0438 0.00 -0.19 0.00 0.15
37 4.0438 0.00 -0.04 0.00 0.09
38 4.0438 0.00 -0.11 0.00 -0.01
39 4.0438 0.00 0.02 0.00 -0.00
40 4.0438 0.00 -0.02 0.00 0.03
41 4.0438 0.00 0.13 0.00 -0.01
42 4.0629 0.00 0.13 0.00 0.09
43 4.0629 0.00 -0.04 0.00 0.04
44 4.0629 0.00 0.04 0.00 -0.00
45 4.1365 0.00 -0.05 0.00 -0.09
46 4.1365 0.00 0.06 0.00 -0.06
47 5.1250 0.00 0.04 0.00 0.00
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.
13RE109 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.930 43.930 43.930 ecceobj 0.152 0.152 0.152 incobj 5.418 5.418 5.418 qmin 36.548 36.472 36.550 qmax 51.489 51.528 51.493 amean 43.726 43.726 43.727 amin 43.252 43.250 43.254 amax 44.251 44.259 44.257 emean 0.151 0.151 0.150 emin 0.138 0.138 0.137 emax 0.164 0.164 0.164 imean 3.928 3.939 3.974 imin 2.965 2.968 2.963 imax 4.972 5.028 4.990 excite_mean 0.166 0.166 0.166 fracstop 1.000 1.000 1.000 cjmean 3.065 3.065 3.065 libcent 0 180.6 182.1 182.1 libamp 0 135.3 134.2 133.3 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 194.5 194.0 193.9 kozaiamp 179.9 180.0 180.0