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: 13RX156 # Created Fri Nov 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 11.06y # First observation: 2013/09/10 # Last observation: 2024/10/01 # Chi-squared of fit: 6.76 DOF: 30 RMS: 0.11 # Min/Max residuals: -0.25 0.27 # Exact a, adot, b, bdot, g, gdot: 1.565976E-05 2.810733E-02 -8.871615E-06 -1.501142E-02 2.812159E-02 -1.556799E-03 # Covariance matrix: 3.9921E-13 -1.3112E-13 -1.0388E-13 5.6196E-14 -4.5655E-15 -2.9371E-13 -1.3112E-13 6.9566E-14 6.1266E-14 -3.1918E-14 1.6082E-13 1.6749E-13 -1.0388E-13 6.1266E-14 2.7054E-13 -6.1407E-14 1.0624E-13 1.6755E-13 5.6196E-14 -3.1918E-14 -6.1407E-14 2.3652E-14 -3.4181E-14 -8.9215E-14 -4.5655E-15 1.6082E-13 1.0624E-13 -3.4181E-14 3.0142E-12 1.9138E-13 -2.9371E-13 1.6749E-13 1.6755E-13 -8.9215E-14 1.9138E-13 4.6706E-13 # lat0 lon0 xBary yBary zBary JD0 14.184649 -33.502169 -0.357736 0.230970 -0.913467 2456545.658448 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 350.64704 +/- 0.011 Argument of Peri: 166.49500 +/- 0.014 Long of Asc Node: 171.03577 +/- 0.000 Inclination: 31.21266 +/- 0.000 Eccentricity: 0.18970199 +/- 0.0002 Semi-Major Axis: 44.80185755 +/- 0.0144 Time of Perihelion: 2459392.1990 +/- 51.5 Perihelion: 36.30285596 +/- 0.0149 Aphelion: 53.30085915 +/- 0.0195 Period (y) 299.8833 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.73127985 +/- 0.0018 Ecliptic Y -19.24836906 +/- 0.0012 Ecliptic Z 8.71354702 +/- 0.0005 Ecliptic XDOT 0.00168036 +/- 0.0000 Ecliptic YDOT 0.00216411 +/- 0.0000 Ecliptic ZDOT -0.00145392 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.47432523 +/- 0.0016 Geocenter to KBO 35.55993677 +/- 0.0022 # Hcoef: 7.99
The following table shows the complete astrometric record for 13RX156. 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 (13RX156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.15767 21 35 47.891 +00 41 07.09 23.8r 13RX156 W84 C~52RN 2013 09 10.17063 21 35 47.837 +00 41 06.37 23.3i 13RX156 W84 C~52RN 2013 09 13.12500 21 35 35.040 +00 39 02.36 23.2i 13RX156 W84 C~52RN 2016 08 23.25186 21 58 55.555 +00 02 24.80 23.9z 13RX156 W84 C~52RN 2016 09 07.15162 21 57 42.573 -00 07 21.86 23.8g 13RX156 W84 C~52RN 2016 09 08.08974 21 57 38.180 -00 08 00.43 23.2i 13RX156 W84 C~52RN 2016 09 26.03659 21 56 21.374 -00 20 32.40 23.4i 13RX156 W84 C~52RN 2016 09 26.03797 21 56 21.376 -00 20 32.41 23.9r 13RX156 W84 C~52RN 2016 09 26.03934 21 56 21.357 -00 20 32.40 24.2g 13RX156 W84 C~52RN 2017 09 27.08463 22 03 32.836 -00 37 56.55 23.2i 13RX156 W84 C~52RN 2017 09 27.08601 22 03 32.823 -00 37 56.58 22.9z 13RX156 W84 C~52RN 2017 09 27.09014 22 03 32.841 -00 37 56.67 24.1r 13RX156 W84 C~52RN 2017 10 21.05167 22 02 22.256 -00 53 44.54 23.4i 13RX156 W84 C~52RN 2018 09 17.22185 22 11 31.269 -00 47 42.73 22.9i 13RX156 W84 C~52RN 2018 09 17.22322 22 11 31.255 -00 47 43.06 23.1r 13RX156 W84 C~52RN 2024 10 01.136250 22 54 17.227 -02 36 25.30 23.5G 13RX156 G37 C~8GyC 2024 10 01.178830 22 54 17.060 -02 36 27.12 13RX156 G37 C~8GyC 2024 10 01.220810 22 54 16.869 -02 36 28.79 13RX156 G37 C~8GyC
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 0.09
2 0.0000 0.00 0.06 0.00 -0.08
3 0.0081 0.00 -0.11 0.00 -0.11
4 2.9517 0.00 0.08 0.00 0.07
5 2.9925 0.00 -0.12 0.00 -0.01
6 2.9950 0.00 0.09 0.00 -0.01
7 3.0442 0.00 0.04 0.00 -0.08
8 3.0442 0.00 0.15 0.00 -0.03
9 3.0442 0.00 -0.05 0.00 0.04
10 4.0463 0.00 -0.13 0.00 -0.00
11 4.0463 0.00 -0.25 0.00 0.02
12 4.0464 0.00 0.27 0.00 0.11
13 4.1120 0.00 0.13 0.00 -0.04
14 5.0187 0.00 0.00 0.00 0.21
15 5.0187 0.00 -0.11 0.00 -0.06
16 11.0581 0.00 -0.16 0.00 0.04
17 11.0582 0.00 0.13 0.00 -0.07
18 11.0584 0.00 0.03 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.
13RX156 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.943 44.943 44.943 ecceobj 0.193 0.193 0.193 incobj 31.153 31.153 31.153 qmin 34.880 34.860 34.848 qmax 55.500 55.493 55.509 amean 44.969 44.969 44.969 amin 44.589 44.593 44.581 amax 45.420 45.424 45.433 emean 0.203 0.203 0.203 emin 0.183 0.183 0.183 emax 0.222 0.223 0.223 imean 30.382 30.382 30.382 imin 29.884 29.897 29.898 imax 30.816 30.821 30.821 excite_mean 0.545 0.545 0.545 fracstop 1.000 1.000 1.000 cjmean 2.734 2.734 2.734 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 185.3 185.4 185.3 kozaiamp 180.0 179.9 179.9