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: 13RL124 # Created Fri Apr 26 01:14:52 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 8.22y # First observation: 2013/09/10 # Last observation: 2021/12/01 # Chi-squared of fit: 3.44 DOF: 26 RMS: 0.08 # Min/Max residuals: -0.18 0.19 # Exact a, adot, b, bdot, g, gdot: 1.786604E-05 4.047741E-02 -2.673104E-06 -5.997354E-03 3.496087E-02 2.814361E-04 # Covariance matrix: 5.4634E-13 -2.0955E-13 -2.6476E-14 3.6344E-14 4.2442E-13 -7.1797E-13 -2.0955E-13 1.8024E-13 2.4024E-14 -3.0275E-14 -8.1024E-14 5.7381E-13 -2.6476E-14 2.4024E-14 1.9336E-13 -3.2187E-14 -1.3725E-14 8.0718E-14 3.6344E-14 -3.0275E-14 -3.2187E-14 1.3137E-14 2.3410E-14 -1.0378E-13 4.2442E-13 -8.1024E-14 -1.3725E-14 2.3410E-14 7.3431E-13 -5.0352E-13 -7.1797E-13 5.7381E-13 8.0718E-14 -1.0378E-13 -5.0352E-13 1.9870E-12 # lat0 lon0 xBary yBary zBary JD0 -5.659869 20.520668 0.549243 -0.083227 -0.840824 2456545.869028 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 329.48383 +/- 0.135 Argument of Peri: 245.06519 +/- 0.142 Long of Asc Node: 166.91030 +/- 0.000 Inclination: 10.14279 +/- 0.000 Eccentricity: 0.02658043 +/- 0.0001 Semi-Major Axis: 30.13431853 +/- 0.0032 Time of Perihelion: 2461668.2456 +/- 24.3 Perihelion: 29.33333537 +/- 0.0036 Aphelion: 30.93530170 +/- 0.0038 Period (y) 165.4247 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.64117474 +/- 0.0007 Ecliptic Y 9.76264800 +/- 0.0002 Ecliptic Z -2.82104875 +/- 0.0001 Ecliptic XDOT -0.00114020 +/- 0.0000 Ecliptic YDOT 0.00295901 +/- 0.0000 Ecliptic ZDOT -0.00046941 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.45000139 +/- 0.0006 Geocenter to KBO 28.60342540 +/- 0.0007 # Hcoef: 8.75
The following table shows the complete astrometric record for 13RL124. 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 (13RL124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.36825 01 24 19.63 +02 46 01.2 23.8r 13RL124 W84 C~3clA 2013 10 13.20007 01 21 11.85 +02 23 11.4 23.4i 13RL124 W84 C~3clA 2013 11 04.05578 01 18 58.96 +02 09 24.8 23.7r 13RL124 W84 C~3clA 2013 11 04.11918 01 18 58.59 +02 09 22.7 13RL124 W84 C~3clA 2013 11 04.19217 01 18 58.16 +02 09 20.3 13RL124 W84 C~3clA 2014 10 02.28833 01 31 31.09 +03 03 49.2 23.8g 13RL124 W84 C~3clA 2015 09 04.32888 01 43 03.24 +03 54 52.8 22.7z 13RL124 W84 C~3clA 2015 10 17.17658 01 39 12.34 +03 26 16.0 23.2r 13RL124 W84 C~3clA 2016 08 16.38146 01 52 58.51 +04 35 48.7 22.9i 13RL124 W84 C~3clA 2016 10 28.24528 01 47 09.90 +03 50 54.2 23.7g 13RL124 W84 C~3clA 2016 11 04.20996 01 46 26.72 +03 46 48.1 23.3i 13RL124 W84 C~3clA 2021 12 01.13525 02 30 00.173 +06 09 43.15 13RL124 304 C~5RzK 2021 12 01.13920 02 30 00.150 +06 09 43.04 13RL124 304 C~5RzK 2021 12 01.14329 02 30 00.128 +06 09 42.81 13RL124 304 C~5RzK 2021 12 01.14704 02 30 00.106 +06 09 42.72 13RL124 304 C~5RzK 2021 12 01.15103 02 30 00.084 +06 09 42.71 13RL124 304 C~5RzK
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 0.09 0.00 0.03
2 0.0899 0.00 0.15 0.00 0.14
3 0.1497 0.00 -0.06 0.00 -0.03
4 0.1499 0.00 -0.05 0.00 -0.02
5 0.1501 0.00 -0.10 0.00 0.01
6 1.0593 0.00 0.03 0.00 -0.07
7 1.9821 0.00 -0.03 0.00 -0.08
8 2.0994 0.00 -0.18 0.00 -0.06
9 2.9323 0.00 0.01 0.00 -0.05
10 3.1318 0.00 -0.01 0.00 -0.03
11 3.1508 0.00 0.19 0.00 0.14
12 8.2239 0.00 0.00 0.00 0.11
13 8.2239 0.00 -0.01 0.00 0.08
14 8.2239 0.00 0.00 0.00 -0.07
15 8.2239 0.00 -0.02 0.00 -0.09
16 8.2239 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.
13RL124 quality flag:3 Type: 1:1 1:1 1:1 axisobj 30.252 30.252 30.252 ecceobj 0.029 0.029 0.029 incobj 10.118 10.118 10.118 qmin 28.535 28.537 28.533 qmax 31.808 31.808 31.807 amean 30.110 30.110 30.110 amin 29.816 29.816 29.816 amax 30.423 30.423 30.423 emean 0.026 0.026 0.026 emin 0.003 0.003 0.003 emax 0.050 0.050 0.050 imean 9.333 9.333 9.333 imin 9.165 9.165 9.165 imax 9.547 9.547 9.547 excite_mean 0.164 0.164 0.164 fracstop 1.000 1.000 1.000 cjmean 2.976 2.976 2.976 libcent 0 62.2 62.2 62.2 libamp 0 19.0 19.0 19.0 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 182.1 182.1 182.1 kozaiamp 180.0 180.0 180.0