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 Sat Apr 27 01:14:52 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 5.05y # First observation: 2013/09/01 # Last observation: 2018/09/18 # Chi-squared of fit: 2.87 DOF: 22 RMS: 0.08 # Min/Max residuals: -0.29 0.13 # Exact a, adot, b, bdot, g, gdot: 1.454776E-05 1.822963E-02 -4.508740E-06 -7.545347E-03 2.043665E-02 -1.061072E-02 # Covariance matrix: 5.2460E-13 2.7909E-13 6.2483E-14 -1.1767E-13 1.3875E-12 3.2848E-12 2.7909E-13 1.2399E-12 8.9066E-14 -5.4823E-13 1.3721E-12 1.4726E-11 6.2483E-14 8.9066E-14 1.4890E-13 -6.9276E-14 2.3427E-13 1.0195E-12 -1.1767E-13 -5.4823E-13 -6.9276E-14 2.8015E-13 -5.4343E-13 -6.7101E-12 1.3875E-12 1.3721E-12 2.3427E-13 -5.4343E-13 5.0396E-12 1.5015E-11 3.2848E-12 1.4726E-11 1.0195E-12 -6.7101E-12 1.5015E-11 1.8004E-10 # 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: 345.10990 +/- 0.051 Argument of Peri: 222.39780 +/- 0.028 Long of Asc Node: 172.27217 +/- 0.001 Inclination: 26.05436 +/- 0.000 Eccentricity: 0.65416175 +/- 0.0009 Semi-Major Axis: 103.05223007 +/- 0.2339 Time of Perihelion: 2472340.9617 +/- 1248.4 Perihelion: 35.63940327 +/- 0.1224 Aphelion: 170.46505688 +/- 0.3977 Period (y) 1046.1508 +/- 3.56 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.01881684 +/- 0.0042 Ecliptic Y -28.89131158 +/- 0.0032 Ecliptic Z 11.43171567 +/- 0.0013 Ecliptic XDOT 0.00054084 +/- 0.0000 Ecliptic YDOT 0.00264056 +/- 0.0000 Ecliptic ZDOT -0.00131482 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 49.87884978 +/- 0.0037 Geocenter to KBO 48.93214403 +/- 0.0054 # Hcoef: 6.42
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
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 0.00 0.00 -0.29
2 0.0247 0.00 0.04 0.00 0.13
3 0.0247 0.00 0.05 0.00 0.02
4 0.0327 0.00 0.12 0.00 0.03
5 0.0328 0.00 0.01 0.00 -0.03
6 0.0599 0.00 -0.03 0.00 -0.03
7 0.0626 0.00 -0.16 0.00 0.11
8 0.0765 0.00 0.01 0.00 0.05
9 0.0765 0.00 0.05 0.00 0.00
10 0.1066 0.00 -0.04 0.00 0.03
11 0.1092 0.00 0.01 0.00 -0.01
12 4.1091 0.00 -0.04 0.00 0.02
13 4.1092 0.00 0.05 0.00 -0.04
14 5.0460 0.00 -0.01 0.00 0.02
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 104.339 104.338 104.341 ecceobj 0.658 0.658 0.658 incobj 25.989 25.989 25.989 qmin 34.435 34.504 34.433 qmax 177.474 177.591 177.226 amean 103.505 103.153 103.010 amin 100.948 101.022 100.617 amax 106.845 106.538 106.332 emean 0.652 0.650 0.651 emin 0.634 0.630 0.631 emax 0.668 0.667 0.667 imean 25.737 25.811 25.678 imin 24.742 24.806 24.773 imax 27.350 27.442 27.203 excite_mean 0.783 0.782 0.782 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 260.5 260.6 263.4 kozaiamp 180.0 180.0 180.0