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: 13RT158 # Created Wed Dec 25 02:09:32 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 18.20y # First observation: 2000/08/26 # Last observation: 2018/11/08 # Chi-squared of fit: 11.91 DOF: 40 RMS: 0.13 # Min/Max residuals: -0.31 0.25 # Exact a, adot, b, bdot, g, gdot: 1.306973E-05 1.877136E-02 -8.137703E-07 -2.787745E-04 2.143825E-02 5.373511E-04 # Covariance matrix: 7.3320E-13 -9.8517E-14 -1.6407E-15 8.6409E-16 -6.1186E-14 -1.6865E-13 -9.8517E-14 4.0429E-14 1.0010E-15 -5.4381E-16 8.1196E-14 1.0388E-13 -1.6407E-15 1.0010E-15 6.2857E-13 -4.0684E-14 1.7635E-15 2.8249E-15 8.6409E-16 -5.4381E-16 -4.0684E-14 2.9194E-15 -1.0710E-15 -1.5198E-15 -6.1186E-14 8.1196E-14 1.7635E-15 -1.0710E-15 4.4069E-13 1.8976E-13 -1.6865E-13 1.0388E-13 2.8249E-15 -1.5198E-15 1.8976E-13 2.9228E-13 # lat0 lon0 xBary yBary zBary JD0 -0.625069 -13.404308 0.238361 -0.010841 -0.978857 2451782.719823 # Heliocentric elements and errors Epoch: 2451782.5000 = 2000/08/26 Mean Anomaly: 163.08635 +/- 0.032 Argument of Peri: 50.36145 +/- 0.022 Long of Asc Node: 130.59853 +/- 0.007 Inclination: 1.04862 +/- 0.000 Eccentricity: 0.07430595 +/- 0.0001 Semi-Major Axis: 44.45066542 +/- 0.0044 Time of Perihelion: 2402744.7041 +/- 12.2 Perihelion: 41.14771645 +/- 0.0053 Aphelion: 47.75361439 +/- 0.0058 Period (y) 296.3641 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.27496388 +/- 0.0014 Ecliptic Y -11.26667407 +/- 0.0003 Ecliptic Z -0.50892353 +/- 0.0000 Ecliptic XDOT 0.00061482 +/- 0.0000 Ecliptic YDOT 0.00232146 +/- 0.0000 Ecliptic ZDOT -0.00003620 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.62948653 +/- 0.0014 Geocenter to KBO 46.64562888 +/- 0.0014 # Hcoef: 6.77
The following table shows the complete astrometric record for 13RT158. 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 (13RT158) followed by the observatory code and reference code for the source of the astrometry.
2000 08 26.21908 23 11 38.56 -05 52 00.6 22.7R 13RT158 807 C~55Nd 2000 08 26.27600 23 11 38.32 -05 52 02.3 13RT158 807 C~55Nd 2013 09 11.29851 00 02 11.382 -00 38 57.40 24.8g 13RT158 W84 C~55Nd 2013 09 29.22394 00 01 00.562 -00 46 41.05 23.9g 13RT158 W84 C~55Nd 2013 09 29.22531 00 01 00.588 -00 46 41.04 23.7r 13RT158 W84 C~55Nd 2013 10 12.11906 00 00 10.817 -00 52 02.89 23.1i 13RT158 W84 C~55Nd 2013 10 13.09891 00 00 07.181 -00 52 26.22 23.4z 13RT158 W84 C~55Nd 2013 10 13.12596 00 00 07.081 -00 52 26.97 23.0i 13RT158 W84 C~55Nd 2013 11 08.16099 23 58 44.090 -01 01 12.92 23.3r 13RT158 W84 C~55Nd 2013 11 08.16252 23 58 44.075 -01 01 13.24 23.1i 13RT158 W84 C~55Nd 2013 11 22.06122 23 58 15.000 -01 04 11.21 23.6r 13RT158 W84 C~55Nd 2015 11 02.09517 00 06 52.125 -00 10 02.63 23.8r 13RT158 W84 C~55Nd 2016 09 11.19965 00 13 58.887 +00 35 15.51 22.9i 13RT158 W84 C~55Nd 2016 09 22.11761 00 13 16.233 +00 30 35.23 22.9r 13RT158 W84 C~55Nd 2016 11 18.06482 00 10 03.319 +00 10 04.39 22.5i 13RT158 W84 C~55Nd 2016 11 18.06619 00 10 03.334 +00 10 04.52 23.6r 13RT158 W84 C~55Nd 2016 12 05.08483 00 09 37.686 +00 07 34.11 23.8r 13RT158 W84 C~55Nd 2017 08 18.29676 00 19 16.893 +01 09 07.60 24.4g 13RT158 W84 C~55Nd 2017 09 27.24362 00 16 52.805 +00 53 13.38 23.8i 13RT158 W84 C~55Nd 2017 09 27.24501 00 16 52.783 +00 53 13.53 23.5r 13RT158 W84 C~55Nd 2017 11 08.07554 00 14 22.795 +00 37 14.09 23.7r 13RT158 W84 C~55Nd 2018 09 17.29928 00 21 29.346 +01 22 21.33 23.2i 13RT158 W84 C~55Nd 2018 11 08.10419 00 18 18.378 +01 01 55.84 23.6r 13RT158 W84 C~55Nd
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 0.10 0.00 0.18
2 0.0002 0.00 -0.14 0.00 -0.11
3 13.0433 0.00 0.11 0.00 0.07
4 13.0924 0.00 -0.31 0.00 -0.07
5 13.0924 0.00 0.17 0.00 -0.02
6 13.1277 0.00 0.06 0.00 -0.03
7 13.1304 0.00 0.06 0.00 0.02
8 13.1305 0.00 0.09 0.00 -0.09
9 13.2018 0.00 0.00 0.00 0.13
10 13.2018 0.00 -0.16 0.00 -0.17
11 13.2398 0.00 0.13 0.00 -0.14
12 15.1838 0.00 -0.01 0.00 0.16
13 16.0438 0.00 0.09 0.00 -0.06
14 16.0736 0.00 0.16 0.00 -0.12
15 16.2296 0.00 -0.16 0.00 -0.09
16 16.2296 0.00 0.11 0.00 0.05
17 16.2762 0.00 0.02 0.00 0.00
18 16.9776 0.00 -0.31 0.00 0.04
19 17.0870 0.00 0.13 0.00 0.06
20 17.0870 0.00 -0.11 0.00 0.25
21 17.2015 0.00 -0.11 0.00 -0.15
22 18.0591 0.00 0.09 0.00 0.02
23 18.2009 0.00 0.08 0.00 0.10
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.
13RT158 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.532 44.532 44.531 ecceobj 0.073 0.073 0.073 incobj 1.049 1.049 1.049 qmin 40.073 40.080 40.068 qmax 48.893 48.884 48.899 amean 44.347 44.347 44.347 amin 43.997 43.999 43.994 amax 44.728 44.724 44.731 emean 0.077 0.077 0.077 emin 0.062 0.062 0.062 emax 0.093 0.093 0.093 imean 1.240 1.240 1.240 imin 0.525 0.525 0.525 imax 1.838 1.838 1.838 excite_mean 0.081 0.081 0.081 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.098 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 166.4 166.4 166.3 kozaiamp 180.0 180.0 180.0