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: 13RT155 # Created Tue Sep 2 01:09:39 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 19 observations of 19 # Arc: 11.91y # First observation: 2013/09/01 # Last observation: 2025/07/29 # Chi-squared of fit: 6.64 DOF: 32 RMS: 0.10 # Min/Max residuals: -0.30 0.26 # Exact a, adot, b, bdot, g, gdot: 1.469528E-05 1.822998E-02 -4.483303E-06 -7.545493E-03 2.043724E-02 -1.060657E-02 # Covariance matrix: 2.1327E-13 5.2858E-15 1.9111E-14 -1.2592E-14 2.9607E-13 1.1628E-13 5.2858E-15 6.3434E-14 2.0184E-14 -2.7582E-14 1.4898E-13 2.6550E-13 1.9111E-14 2.0184E-14 1.3108E-13 -2.1643E-14 8.9169E-14 9.4676E-14 -1.2592E-14 -2.7582E-14 -2.1643E-14 1.5405E-14 -8.1954E-14 -1.2279E-13 2.9607E-13 1.4898E-13 8.9169E-14 -8.1954E-14 1.1155E-12 7.7435E-13 1.1628E-13 2.6550E-13 9.4676E-14 -1.2279E-13 7.7435E-13 1.1796E-12 # lat0 lon0 xBary yBary zBary JD0 13.510898 -36.837681 -0.268386 0.227648 -0.947110 2456536.659628 # Heliocentric elements and errors Epoch: 2456536.5000 = 2013/09/01 Mean Anomaly: 345.09123 +/- 0.013 Argument of Peri: 222.39576 +/- 0.011 Long of Asc Node: 172.27220 +/- 0.000 Inclination: 26.05435 +/- 0.000 Eccentricity: 0.65386506 +/- 0.0002 Semi-Major Axis: 102.97419626 +/- 0.0611 Time of Perihelion: 2472342.8008 +/- 326.0 Perihelion: 35.64296694 +/- 0.0281 Aphelion: 170.30542558 +/- 0.1027 Period (y) 1044.9628 +/- 0.93 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.01771804 +/- 0.0020 Ecliptic Y -28.89047945 +/- 0.0015 Ecliptic Z 11.43138578 +/- 0.0006 Ecliptic XDOT 0.00054129 +/- 0.0000 Ecliptic YDOT 0.00264020 +/- 0.0000 Ecliptic ZDOT -0.00131467 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 49.87743242 +/- 0.0018 Geocenter to KBO 48.93072661 +/- 0.0025 # Hcoef: 6.24
The following table shows the complete astrometric record for 13RT155. 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 (13RT155) followed by the observatory code and reference code for the source of the astrometry.
2013 09 01.15885 21 24 25.420 -01 00 17.18 23.6g 13RT155 W84 C~52RK 2013 09 10.16600 21 23 54.972 -01 04 26.96 23.5r 13RT155 W84 C~52RK 2013 09 10.16736 21 23 54.968 -01 04 27.10 23.2i 13RT155 W84 C~52RK 2013 09 13.11802 21 23 45.639 -01 05 50.73 22.8i 13RT155 W84 C~52RK 2013 09 13.12082 21 23 45.623 -01 05 50.87 22.9z 13RT155 W84 C~52RK 2013 09 23.03700 21 23 17.103 -01 10 34.07 24.1g 13RT155 W84 C~52RK 2013 09 24.03670 21 23 14.489 -01 11 02.45 23.7g 13RT155 W84 C~52RK 2013 09 29.11050 21 23 02.119 -01 13 26.56 23.5r 13RT155 W84 C~52RK 2013 09 29.11609 21 23 02.108 -01 13 26.77 23.5i 13RT155 W84 C~52RK 2013 10 10.07773 21 22 40.700 -01 18 29.41 23.6r 13RT155 W84 C~52RK 2013 10 11.05883 21 22 39.174 -01 18 55.68 23.5z 13RT155 W84 C~52RK 2017 10 11.00195 21 41 15.591 -01 38 57.91 22.9r 13RT155 W84 C~52RK 2017 10 11.04610 21 41 15.511 -01 38 59.18 23.8g 13RT155 W84 C~52RK 2018 09 18.20554 21 47 11.980 -01 32 52.76 22.8z 13RT155 W84 C~52RL 2024 10 01.104980 22 18 32.891 -02 11 05.25 20.8G 13RT155 G37 C~8GyC 2024 10 01.190140 22 18 32.611 -02 11 08.35 13RT155 G37 C~8GyC 2025 07 29.494256 22 28 23.013 -01 45 14.92 22.4w 13RT155 F52 C~91Tk 2025 07 29.505791 22 28 22.988 -01 45 15.20 22.8w 13RT155 F52 C~91Tk 2025 07 29.517328 22 28 22.943 -01 45 15.08 22.6w 13RT155 F52 C~91Tk
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 -0.03 0.00 -0.30
2 0.0247 0.00 0.03 0.00 0.12
3 0.0247 0.00 0.04 0.00 0.02
4 0.0327 0.00 0.11 0.00 0.03
5 0.0328 0.00 -0.00 0.00 -0.03
6 0.0599 0.00 -0.03 0.00 -0.03
7 0.0626 0.00 -0.15 0.00 0.12
8 0.0765 0.00 0.03 0.00 0.06
9 0.0765 0.00 0.06 0.00 0.01
10 0.1066 0.00 -0.02 0.00 0.04
11 0.1092 0.00 0.03 0.00 0.01
12 4.1091 0.00 -0.06 0.00 0.02
13 4.1092 0.00 0.03 0.00 -0.03
14 5.0460 0.00 0.03 0.00 0.00
15 11.0827 0.00 0.06 0.00 0.17
16 11.0829 0.00 -0.05 0.00 -0.27
17 11.9078 0.00 -0.14 0.00 -0.07
18 11.9079 0.00 0.10 0.00 -0.10
19 11.9079 0.00 0.03 0.00 0.26
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.
13RT155 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 104.259 104.257 104.261 ecceobj 0.658 0.658 0.658 incobj 25.988 25.988 25.988 qmin 34.909 34.909 34.908 qmax 177.044 176.122 176.853 amean 103.224 103.199 103.073 amin 101.141 101.021 101.032 amax 106.814 106.210 106.435 emean 0.650 0.650 0.648 emin 0.635 0.635 0.627 emax 0.661 0.662 0.662 imean 25.874 25.897 26.015 imin 25.177 25.177 25.177 imax 27.324 27.449 27.984 excite_mean 0.783 0.783 0.783 fracstop 1.000 1.000 1.000 cjmean 2.824 2.824 2.824 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 270.5 270.4 273.1 kozaiamp 56.6 57.2 63.0